signature
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32
problem_type
stringclasses
12 values
optimization_type
stringclasses
3 values
graph
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52
2.28k
solution
stringlengths
235
4.05k
cost_hamiltonian
stringlengths
11
5.66k
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int64
1
18
number_of_qubits
int64
1
16
number_of_layers
int64
1
4
exact_solution
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2.61k
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stringlengths
126
44.7k
circuit_with_symbols
stringlengths
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19.5k
problem_specific_attributes
stringclasses
116 values
adaptive_process
stringlengths
33
186k
qiskit_pauli_strings
listlengths
1
177
qiskit_coefficients
listlengths
1
177
improvement_ratio
float64
0
1
optimized_params
listlengths
2
278
optimization_info
dict
total_iterations
int64
1
500
3ab147cc948c972495cc9d6b1a04d6d2
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]}
{"states": [7, 39], "expectation_value": -1.4903239991058301, "params": [0.0021000000000000003, 0.0037, 1.6009, 0.0082, 0.5405, 0.0051, 0.5259, 0.001, 1.6123, 0.0097, 1.6136000000000001, 0.0091, 1.6111, 0.0033, 0.0008, 0.0041, 0.0023, 0.0013000000000000002, 0.0005, 0.0073, 0.0001], "bitstrings": ["1111000", "1011000"], "total_optimization_steps": 160, "probabilities": [0.059313227562422466, 0.06299577383503631], "optimization_time": 4.991940498352051}
0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(4) @ Z(0) @ Z(1)) + -0.0625 * (Z(0) @ Z(5) @ Z(1)) + -0.0625 * (Z(6) @ Z(0) @ Z(1)) + -0.0625 * (Z(4) @ Z(0) @ Z(5)) + -0.0625 * (Z(6) @ Z(0) @ Z(4)) + -0.0625 * (Z(6) @ Z(0) @ Z(5)) + -0.0625 * (Z(4) @ Z(5) @ Z(1)) + -0.0625 * (Z(6) @ Z(4) @ Z(1)) + -0.0625 * (Z(6) @ Z(5) @ Z(1)) + -0.0625 * (Z(6) @ Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(0) @ Z(5) @ Z(1)) + 0.0625 * (Z(6) @ Z(0) @ Z(4) @ Z(1)) + 0.0625 * (Z(6) @ Z(0) @ Z(5) @ Z(1)) + 0.0625 * (Z(6) @ Z(0) @ Z(4) @ Z(5)) + 0.0625 * (Z(5) @ Z(6) @ Z(4) @ Z(1)) + -0.0625 * (Z(4) @ Z(0) @ Z(5) @ Z(1) @ Z(6)) + 0.5 * (Z(6) @ Z(2)) + -0.5625 * Z(0) + -0.0625 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.0625 * Z(4) + -0.0625 * Z(5) + -0.0625 * Z(6)
18
7
1
{"smallest_eigenvalues": [-3.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1011000"], "largest_eigenvalue": 5.4375}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; rx(-0.2617382474824059) q[0]; rz(-0.25556683543857517) q[0]; rx(3.2549553359388126) q[1]; rz(-0.1904150377377148) q[1]; rx(0.11533762007237594) q[2]; rz(0.15040563274986068) q[2]; rx(-0.11428203016202747) q[3]; rz(0.06697334278189641) q[3]; rx(3.1542430010311207) q[4]; rz(0.320444768261287) q[4]; rx(3.301363365899691) q[5]; rz(-0.4991032485906577) q[5]; rx(3.212741703886446) q[6]; rz(-0.18414658324060862) q[6]; cx q[6], q[0]; rz(-0.0838691467949593) q[0]; cx q[6], q[0]; rz(-0.8433702924608503) q[6]; cx q[5], q[6]; rz(0.8433702924608503) q[6]; cx q[5], q[6]; rz(0.07769865425988559) q[5]; cx q[4], q[5]; rz(-0.07769865425988559) q[5]; cx q[4], q[5]; rz(0.08252057755114761) q[4]; cx q[3], q[4]; rz(-0.08252057755114761) q[4]; cx q[3], q[4]; rz(-0.703579901989345) q[3]; cx q[2], q[3]; rz(0.703579901989345) q[3]; cx q[2], q[3]; rz(-0.024791518820049464) q[2]; cx q[1], q[2]; rz(0.024791518820049464) q[2]; cx q[1], q[2]; rz(0.436583533550174) q[1]; cx q[0], q[1]; rz(-0.436583533550174) q[1]; cx q[0], q[1];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; crz(x14) q[6], q[0]; crz(x15) q[5], q[6]; crz(x16) q[4], q[5]; crz(x17) q[3], q[4]; crz(x18) q[2], q[3]; crz(x19) q[1], q[2]; crz(x20) q[0], q[1]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
[ "IIIIZZI", "IIZZIII", "IZIZIII", "IIIIIZZ", "IIZIIIZ", "IZIIIIZ", "ZIIIIIZ", "IIZIIZI", "IZIIIZI", "ZIIIIZI", "IZZIIII", "ZIZIIII", "ZZIIIII", "IIZIIZZ", "IZIIIZZ", "ZIIIIZZ", "IZZIIIZ", "ZIZIIIZ", "ZZIIIIZ", "IZZIIZI", "ZIZIIZI", "ZZIIIZI", "ZZZIIII", "IZZIIZZ", "ZIZ...
[ 0.5, 0.5, 0.5, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, -0.0625, 0.5, -0.5625, -0.062...
0.977185
[ -0.2617382474824059, -0.33943598223353566, 3.2549553359388126, -0.1904150377377148, 0.11533762007237594, 0.15040563274986068, -0.11428203016202747, 0.06697334278189641, 3.1542430010311207, 0.320444768261287, 3.301363365899691, -0.4991032485906577, 3.212741703886446, -0.18414658324060862, ...
{ "n_parameters": 21, "n_qubits": 7, "optimal_eigenvalue": -3.5625, "target_ratio": 0.97, "target_value": -3.455625 }
28
-2180152617687465947
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4, 5, 7, 8, 9], [3, 6], [0, 2, 4, 6, 9], [1, 6, 9, 10, 11], [0, 1, 5, 8, 10, 11]]}
{"states": [3641, 3645], "expectation_value": -1.2526377087945146, "params": [[[0.002, -0.0028], [3.1439000000000004, 0.0018000000000000002], [0.0025, 3.1448], [-0.0023, 3.1381], [-0.0024000000000000002, -0.0029000000000000002], [-1.3303, 0.028900000000000002], [0.0029000000000000002, 3.1083000000000003], [-0.0024000000000000002, 0.0022], [-2.979, 2.9902], [1.6442, 0.8962], [-0.0032, -0.8588], [3.144, 3.1383]]], "bitstrings": ["000111000110", "000111000010"], "total_optimization_steps": 440, "probabilities": [0.29387616958029006, 0.3167048221643708], "optimization_time": 27.82874059677124}
0.05714285714285714 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.07380952380952381 * (Z(4) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(1)) + 0.05714285714285714 * (Z(5) @ Z(0)) + 0.023809523809523808 * (Z(5) @ Z(4)) + 0.023809523809523808 * (Z(7) @ Z(1)) + 0.023809523809523808 * (Z(7) @ Z(0)) + 0.023809523809523808 * (Z(7) @ Z(4)) + 0.023809523809523808 * (Z(7) @ Z(5)) + 0.05714285714285714 * (Z(8) @ Z(1)) + 0.05714285714285714 * (Z(8) @ Z(0)) + 0.023809523809523808 * (Z(8) @ Z(4)) + 0.05714285714285714 * (Z(8) @ Z(5)) + 0.023809523809523808 * (Z(8) @ Z(7)) + 0.07380952380952381 * (Z(9) @ Z(1)) + 0.07380952380952381 * (Z(9) @ Z(0)) + 0.07380952380952381 * (Z(9) @ Z(4)) + 0.023809523809523808 * (Z(9) @ Z(5)) + 0.023809523809523808 * (Z(9) @ Z(7)) + 0.023809523809523808 * (Z(9) @ Z(8)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(9)) + 0.5 * (Z(3) @ Z(6)) + 0.05 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(4)) + 0.05 * (Z(2) @ Z(9)) + 0.05 * (Z(2) @ Z(6)) + 0.08333333333333334 * (Z(10) @ Z(1)) + 0.03333333333333333 * (Z(10) @ Z(0)) + 0.03333333333333333 * (Z(10) @ Z(5)) + 0.03333333333333333 * (Z(10) @ Z(8)) + 0.05 * (Z(10) @ Z(9)) + 0.05 * (Z(10) @ Z(6)) + 0.08333333333333334 * (Z(11) @ Z(1)) + 0.03333333333333333 * (Z(11) @ Z(0)) + 0.03333333333333333 * (Z(11) @ Z(5)) + 0.03333333333333333 * (Z(11) @ Z(8)) + 0.05 * (Z(11) @ Z(9)) + 0.05 * (Z(11) @ Z(6)) + 0.08333333333333334 * (Z(11) @ Z(10)) + 0.25476190476190474 * Z(1) + 0.25476190476190474 * Z(0) + 0.17142857142857137 * Z(4) + 0.15476190476190477 * Z(5) + 0.07142857142857142 * Z(7) + 0.15476190476190477 * Z(8) + 0.27142857142857135 * Z(9) + 0.20000000000000018 * Z(6) + 0.0 * Z(3) + 0.1 * Z(2) + 0.18333333333333335 * Z(10) + 0.18333333333333335 * Z(11)
15
12
1
{"smallest_eigenvalues": [-1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908, -1.2904761904761908], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -1.2904761904761906, "smallest_bitstrings": ["100100000101", "100100000110", "100100010010", "000111000001", "000110001010", "000111000010", "000110001001", "011110000010", "000101000110", "011110000001", "100110000001", "100110000010", "000110010011", "001101000101", "001101000110", "000101000101", "010110000001", "010110000010", "100100010001", "001110010011"], "largest_eigenvalue": 4.499999999999998}
OPENQASM 3.0; include "stdgates.inc"; qubit[12] q; ry(-0.0617965169247367) q[0]; ry(3.1360643599454385) q[1]; ry(-0.015241271513967806) q[2]; ry(0.037107714797380974) q[3]; ry(-0.04017218172739659) q[4]; ry(-1.197557411079338) q[5]; ry(-0.00021703565152956378) q[6]; ry(-0.04017218172739659) q[7]; ry(-3.1162963885390305) q[8]; ry(1.6771630350836622) q[9]; ry(-0.16444898853222056) q[10]; ry(3.0868014144955196) q[11]; cx q[11], q[0]; cx q[10], q[11]; ry(3.053257795476447) q[11]; cx q[9], q[10]; ry(-0.8287239055079988) q[10]; cx q[11], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.012908683582751747) q[0]; cx q[0], q[11]; ry(-0.0007518863100874212) q[1]; cx q[0], q[1]; ry(3.1788271686071967) q[2]; cx q[1], q[2]; ry(2.812573535119069) q[3]; cx q[2], q[3]; ry(-0.011226391866178763) q[4]; cx q[3], q[4]; ry(-0.007592779868167709) q[5]; cx q[4], q[5]; ry(3.154006384407806) q[6]; cx q[5], q[6]; ry(0.049082834741864534) q[7]; cx q[6], q[7]; ry(3.173494141780862) q[8]; cx q[7], q[8]; ry(0.9048489066573892) q[9]; cx q[8], q[9]; cx q[9], q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x4) q[7]; ry(x7) q[8]; ry(x8) q[9]; ry(x9) q[10]; ry(x10) q[11]; cx q[11], q[0]; cx q[10], q[11]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x11) q[0]; ry(x12) q[1]; ry(x13) q[2]; ry(x14) q[3]; ry(x15) q[4]; ry(x16) q[5]; ry(x17) q[6]; ry(x18) q[7]; ry(x19) q[8]; ry(x20) q[9]; ry(x21) q[10]; ry(x22) q[11]; cx q[11], q[10]; cx q[0], q[11]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; cx q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIIIIZZ", "IIIIIIIZIIZI", "IIIIIIIZIIIZ", "IIIIIIZIIIZI", "IIIIIIZIIIIZ", "IIIIIIZZIIII", "IIIIZIIIIIZI", "IIIIZIIIIIIZ", "IIIIZIIZIIII", "IIIIZIZIIIII", "IIIZIIIIIIZI", "IIIZIIIIIIIZ", "IIIZIIIZIIII", "IIIZIIZIIIII", "IIIZZIIIIIII", "IIZIIIIIIIZI", "IIZIIIIIIIIZ", "IIZIIIIZI...
[ 0.05714285714285714, 0.023809523809523808, 0.07380952380952381, 0.05714285714285714, 0.05714285714285714, 0.023809523809523808, 0.023809523809523808, 0.023809523809523808, 0.023809523809523808, 0.023809523809523808, 0.05714285714285714, 0.05714285714285714, 0.023809523809523808, 0.05714285...
0.971054
[ -0.0617965169247367, 3.1360643599454385, -0.015241271513967806, 0.037107714797380974, -0.04017218172739659, -1.197557411079338, -0.00021703565152956378, -3.1162963885390305, 1.6771630350836622, -0.16444898853222056, 3.0868014144955196, 0.012908683582751747, -0.0007518863100874212, 3.178827...
{ "n_parameters": 23, "n_qubits": 12, "optimal_eigenvalue": -1.2904761904761908, "target_ratio": 0.97, "target_value": -1.251761904761905 }
12
a7fbc66e4dd2789fb7960f2eaa128bd5
connected_components
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 6, "target": 8}, {"source": 6, "target": 10}, {"source": 7, "target": 10}, {"source": 8, "target": 10}, {"source": 9, "target": 10}]}
{"states": [1023, 888], "expectation_value": -0.11141815119030561, "params": [[0.0145], [-0.0142]], "bitstrings": ["0000000000", "0010000111"], "total_optimization_steps": 10, "probabilities": [0.0010096918825775593, 0.0010112437514875306], "optimization_time": 17.022861003875732}
-2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(7) @ Z(2)) + -2.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(3) + -2.0 * Z(2) + -1.0 * Z(7) + 1.0 * Z(8) + 1.0 * Z(9)
5
10
1
{"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["0010000111"], "largest_eigenvalue": 26.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.6266781132424288) q[0]; cx q[1], q[0]; h q[2]; h q[3]; h q[4]; cx q[1], q[4]; rz(-0.25784629528800934) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.8375717399337574) q[4]; cx q[0], q[4]; h q[5]; cx q[1], q[5]; rz(-0.5814922417857223) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(-0.6266781132424288) q[5]; cx q[0], q[5]; cx q[4], q[5]; rz(-0.6266781132424288) q[5]; cx q[4], q[5]; h q[6]; cx q[1], q[6]; rz(-0.8375717399337574) q[6]; cx q[1], q[6]; cx q[0], q[6]; cx q[1], q[3]; rz(-0.20319770067745155) q[3]; cx q[1], q[3]; rz(-0.20319770067745146) q[1]; rx(-0.9797783081521323) q[1]; rz(-0.20319770067745155) q[6]; cx q[0], q[6]; cx q[0], q[3]; rz(-0.20319770067745155) q[3]; cx q[0], q[3]; rz(-0.20319770067745146) q[0]; rx(-0.9797783081521323) q[0]; cx q[4], q[3]; rz(-0.20319770067745155) q[3]; cx q[4], q[3]; rz(-0.20319770067745146) q[4]; rx(-0.9797783081521323) q[4]; cx q[5], q[6]; rz(-0.20319770067745155) q[6]; cx q[5], q[6]; cx q[5], q[3]; rz(-0.6266781132424288) q[3]; cx q[5], q[3]; rz(-0.20319770067745146) q[3]; rx(-0.9797783081521323) q[3]; rz(-0.20319770067745146) q[5]; rx(-0.9797783081521323) q[5]; rz(-0.20319770067745146) q[6]; rx(-0.9797783081521323) q[6]; h q[7]; cx q[2], q[7]; rz(-0.6266781132424288) q[7]; cx q[2], q[7]; h q[8]; cx q[2], q[8]; rz(-0.6266781132424288) q[8]; cx q[2], q[8]; cx q[7], q[8]; rz(-0.20319770067745155) q[8]; cx q[7], q[8]; h q[9]; cx q[2], q[9]; rz(-0.6266781132424288) q[9]; cx q[2], q[9]; rz(-0.8375717399337574) q[2]; rx(-0.9797783081521325) q[2]; cx q[7], q[9]; rz(-0.20319770067745155) q[9]; cx q[7], q[9]; rz(-1.182002449490695) q[7]; rx(-0.9797783081521325) q[7]; cx q[8], q[9]; rz(-0.20319770067745155) q[9]; cx q[8], q[9]; rz(-0.2578462952880094) q[8]; rx(-0.9797783081521322) q[8]; rz(-0.2578462952880094) q[9]; rx(-0.9797783081521322) q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; bit[10] c; qubit[10] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; h q[9]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[4]; rz(x1) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x2) q[4]; cx q[0], q[4]; cx q[1], q[5]; rz(x3) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x2) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x4) q[6]; cx q[0], q[6]; cx q[5], q[6]; rz(x4) q[6]; cx q[5], q[6]; cx q[1], q[3]; rz(x4) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x4) q[3]; cx q[0], q[3]; cx q[4], q[3]; rz(x4) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(x0) q[3]; cx q[5], q[3]; cx q[2], q[7]; rz(x0) q[7]; cx q[2], q[7]; cx q[2], q[8]; rz(x0) q[8]; cx q[2], q[8]; cx q[7], q[8]; rz(x4) q[8]; cx q[7], q[8]; cx q[2], q[9]; rz(x0) q[9]; cx q[2], q[9]; cx q[7], q[9]; rz(x4) q[9]; cx q[7], q[9]; cx q[8], q[9]; rz(x4) q[9]; cx q[8], q[9]; rz(x4) q[1]; rz(x4) q[0]; rz(x4) q[4]; rz(x4) q[5]; rz(x4) q[6]; rz(x4) q[3]; rz(x2) q[2]; rz(x5) q[7]; rz(x1) q[8]; rz(x1) q[9]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; h q[7]; rz(x6) q[7]; h q[7]; h q[8]; rz(x6) q[8]; h q[8]; h q[9]; rz(x6) q[9]; h q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"node": 8}
{"circuits": [], "gradients": []}
[ "IIIIIIIIZZ", "IIIIIZIIZI", "IIIIIZIIIZ", "IIIIZIIIZI", "IIIIZIIIIZ", "IIIIZZIIII", "IIIZIIIIZI", "IIIZIIIIIZ", "IIIZZIIIII", "IIIIIIZIZI", "IIIIIIZIIZ", "IIIIIZZIII", "IIIIZIZIII", "IIZIIIIZII", "IZIIIIIZII", "IZZIIIIIII", "ZIIIIIIZII", "ZIZIIIIIII", "ZZIIIIIIII", "IIIIIIIIZI"...
[ -2.5, 1, -2, -3, -2.5, -2.5, -2, 0.5, 0.5, 0.5, 0.5, 0.5, -2.5, -2.5, -2.5, 0.5, -2.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -2, -1, 1, 1 ]
0.548008
[ -0.6266781132424288, -0.25784629528800934, -0.8375717399337574, -0.5814922417857223, -0.20319770067745155, -1.182002449490695, -0.9797783081521324 ]
{ "n_parameters": 7, "n_qubits": 10, "optimal_eigenvalue": -23.5, "target_ratio": 0.97, "target_value": -22.794999999999998 }
192
8591281054201604876
hypermaxcut
qaoa
{"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3], [1, 5], [3, 4], [0, 6]]}
{"states": [86, 116], "expectation_value": -0.4437475055770835, "params": [[0.28290000000000004], [-0.28700000000000003]], "bitstrings": ["0101001", "0001011"], "total_optimization_steps": 30, "probabilities": [0.017233180508484273, 0.017233180508484273], "optimization_time": 1.29353666305542}
0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(6)
1
7
1
{"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0001011", "0101001"], "largest_eigenvalue": 2.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; h q[2]; cx q[2], q[0]; rz(0.2080287321096655) q[0]; cx q[2], q[0]; h q[3]; cx q[2], q[3]; rz(0.2080287321096655) q[3]; cx q[2], q[3]; cx q[0], q[3]; rz(0.208028732109665) q[2]; rx(-0.7912817440097908) q[2]; rz(0.2080287321096655) q[3]; cx q[0], q[3]; h q[4]; cx q[3], q[4]; rz(1.5039891107514556) q[4]; cx q[3], q[4]; rz(0.208028732109665) q[3]; rx(-0.7912817440097908) q[3]; rz(-0.06647531415909125) q[4]; rx(-0.7912817440097907) q[4]; h q[5]; cx q[5], q[1]; rz(1.5039891107514556) q[1]; cx q[5], q[1]; rz(-0.06647531415909125) q[1]; rx(-0.7912817440097907) q[1]; rz(-0.06647531415909125) q[5]; rx(-0.7912817440097907) q[5]; h q[6]; cx q[0], q[6]; rz(1.5039891107514556) q[6]; cx q[0], q[6]; rz(0.208028732109665) q[0]; rx(-0.7912817440097908) q[0]; rz(-0.06647531415909125) q[6]; rx(-0.7912817440097907) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[5], q[1]; rz(x1) q[1]; cx q[5], q[1]; cx q[3], q[4]; rz(x1) q[4]; cx q[3], q[4]; cx q[0], q[6]; rz(x1) q[6]; cx q[0], q[6]; rz(x0) q[2]; rz(x0) q[0]; rz(x0) q[3]; rz(x2) q[5]; rz(x2) q[1]; rz(x2) q[4]; rz(x2) q[6]; h q[0]; rz(x3) q[0]; h q[0]; h q[1]; rz(x3) q[1]; h q[1]; h q[2]; rz(x3) q[2]; h q[2]; h q[3]; rz(x3) q[3]; h q[3]; h q[4]; rz(x3) q[4]; h q[4]; h q[5]; rz(x3) q[5]; h q[5]; h q[6]; rz(x3) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
[ "IIIIZIZ", "IIIZZII", "IIIZIIZ", "IZIIIZI", "IIZZIII", "ZIIIIIZ", "IIIIZII", "IIIIIIZ", "IIIZIII", "IZIIIII", "IIIIIZI", "IIZIIII", "ZIIIIII" ]
[ 0.16666666666666666, 0.16666666666666666, 0.16666666666666666, 0.5, 0.5, 0.5, 0.16666666666666666, 0.16666666666666663, 0.16666666666666663, 0, 0, 0, 0 ]
0.835237
[ 0.2080287321096655, 1.5039891107514556, -0.06647531415909143, -0.7912817440097908 ]
{ "n_parameters": 4, "n_qubits": 7, "optimal_eigenvalue": -1.8333333333333335, "target_ratio": 0.97, "target_value": -1.7783333333333333 }
112
dc8ac5f82febba9dcace181eb5c76eb3
edge_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]}
{"states": [58, 102], "expectation_value": -0.04824714892341368, "params": [[0.066], [-0.050100000000000006]], "bitstrings": ["1000101", "0011001"], "total_optimization_steps": 10, "probabilities": [0.008490532750774729, 0.008490532750774729], "optimization_time": 3.2506103515625}
0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(1) @ Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.25 * Z(0) + 0.125 * Z(1) + -0.25 * Z(2) + -0.125 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + -1.0 * Z(6)
1
7
1
{"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"], "largest_eigenvalue": 5.625}
OPENQASM 3.0; include "stdgates.inc"; qubit[6] q; h q[0]; h q[1]; cx q[1], q[0]; rz(0.009159858931667007) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(0.009159858931667007) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.009159858931667007) q[2]; cx q[0], q[2]; h q[3]; h q[4]; cx q[1], q[4]; rz(0.009159858931667007) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.009159858931667007) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.12494940013551502) q[4]; cx q[2], q[4]; h q[5]; cx q[1], q[5]; rz(0.12494940013551502) q[5]; cx q[1], q[5]; cx q[0], q[5]; cx q[1], q[3]; rz(0.12494940013551502) q[3]; cx q[1], q[3]; rz(-0.9996743752342088) q[1]; rx(-1.280216112805597) q[1]; rz(0.009159858931667007) q[5]; cx q[0], q[5]; cx q[0], q[3]; cx q[2], q[5]; rz(0.12494940013551502) q[3]; cx q[0], q[3]; rz(-1.078589861415816) q[0]; rx(-1.280216112805597) q[0]; cx q[1], q[0]; rz(0.024697662159371404) q[0]; cx q[1], q[0]; rz(0.12494940013551502) q[5]; cx q[2], q[5]; cx q[2], q[3]; rz(0.12494940013551502) q[3]; cx q[2], q[3]; rz(0.26726582080671646) q[2]; rx(-1.2802161128055969) q[2]; cx q[1], q[2]; rz(0.024697662159371404) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.024697662159371404) q[2]; cx q[0], q[2]; cx q[4], q[5]; rz(0.12494940013551502) q[5]; cx q[4], q[5]; cx q[4], q[3]; rz(0.12494940013551502) q[3]; cx q[4], q[3]; rz(0.26726582080671646) q[4]; rx(-1.2802161128055969) q[4]; cx q[1], q[4]; rz(0.024697662159371404) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.024697662159371404) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.6853541264808383) q[4]; cx q[2], q[4]; cx q[5], q[3]; rz(0.009159858931667007) q[3]; cx q[5], q[3]; rz(1.089174221276453) q[3]; rx(-1.280216112805597) q[3]; rz(0.26726582080671646) q[5]; rx(-1.2802161128055969) q[5]; cx q[1], q[5]; rz(0.6853541264808383) q[5]; cx q[1], q[5]; cx q[0], q[5]; cx q[1], q[3]; rz(0.6853541264808383) q[3]; cx q[1], q[3]; rz(-0.33614577142982505) q[1]; rx(-0.5362840866671384) q[1]; rz(0.024697662159371404) q[5]; cx q[0], q[5]; cx q[0], q[3]; cx q[2], q[5]; rz(0.6853541264808383) q[3]; cx q[0], q[3]; rz(-0.6001841465958333) q[0]; rx(-0.5362840866671384) q[0]; rz(0.6853541264808383) q[5]; cx q[2], q[5]; cx q[2], q[3]; rz(0.6853541264808383) q[3]; cx q[2], q[3]; rz(0.4639300833757023) q[2]; rx(-0.5362840866671383) q[2]; cx q[4], q[5]; rz(0.6853541264808383) q[5]; cx q[4], q[5]; cx q[4], q[3]; rz(0.6853541264808383) q[3]; cx q[4], q[3]; rz(0.4639300833757023) q[4]; rx(-0.5362840866671383) q[4]; cx q[5], q[3]; rz(0.024697662159371404) q[3]; cx q[5], q[3]; rz(0.11612369054312222) q[3]; rx(-0.5362840866671383) q[3]; rz(0.4639300833757023) q[5]; rx(-0.5362840866671383) q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(x1) q[0]; cx q[1], q[0]; cx q[2], q[1]; cx q[3], q[0]; rz(x2) q[0]; cx q[3], q[0]; cx q[3], q[1]; rz(x3) q[1]; cx q[3], q[1]; cx q[1], q[4]; rz(x3) q[4]; cx q[1], q[4]; cx q[5], q[1]; rz(x3) q[1]; cx q[5], q[1]; cx q[3], q[4]; rz(x3) q[4]; cx q[3], q[4]; cx q[5], q[3]; rz(x3) q[3]; cx q[5], q[3]; cx q[5], q[4]; rz(x3) q[4]; cx q[5], q[4]; cx q[3], q[1]; cx q[1], q[4]; rz(x4) q[4]; cx q[1], q[4]; cx q[3], q[1]; cx q[5], q[3]; cx q[3], q[1]; rz(x4) q[1]; cx q[3], q[1]; cx q[5], q[3]; cx q[5], q[1]; cx q[1], q[4]; rz(x4) q[4]; cx q[1], q[4]; cx q[5], q[1]; cx q[5], q[3]; cx q[3], q[4]; rz(x4) q[4]; cx q[3], q[4]; cx q[5], q[3]; cx q[5], q[3]; cx q[3], q[1]; cx q[1], q[4]; rz(x3) q[4]; cx q[1], q[4]; cx q[3], q[1]; cx q[5], q[3]; cx q[2], q[4]; rz(x2) q[4]; cx q[2], q[4]; cx q[5], q[6]; rz(x2) q[6]; cx q[5], q[6]; rz(x1) q[0]; rz(x3) q[1]; rz(x1) q[2]; rz(x4) q[3]; rz(x4) q[4]; rz(x4) q[5]; rz(x5) q[6]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
[ "IIIIIZZ", "IIIIZIZ", "IIIIZZI", "IIIIZZZ", "IIIZIIZ", "IIIZIZI", "IIZIIZI", "IZIIIZI", "IIZZIII", "IZIZIII", "IZZIIII", "IIZZIZI", "IZIZIZI", "IZZIIZI", "IZZZIII", "IZZZIZI", "IIZIZII", "ZZIIIII", "IIIIIIZ", "IIIIIZI", "IIIIZII", "IIIZIII", "IIZIIII", "IZIIIII", "ZII...
[ 0.25, 0.25, 0.25, -0.25, 0.5, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0.125, -0.125, 0.125, 0.5, 0.5, -0.25, 0.125, -0.25, -0.125, -0.125, -0.125, -1 ]
0.813356
[ 0.009159858931667007, 0.12494940013551502, -0.9996743752342083, -1.0785898614158156, 0.2672658208067165, 1.0891742212764537, -1.2802161128055969, 0.024697662159371404, 0.6853541264808383, -0.33614577142982505, -0.6001841465958335, 0.46393008337570263, 0.1161236905431224, -0.536284086667138...
{ "n_parameters": 14, "n_qubits": 6, "optimal_eigenvalue": -7.25, "target_ratio": 0.97, "target_value": -7.0325 }
415
7e799239f8573f120a2c5e15cda2e88f
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]}
{"states": [7, 14], "expectation_value": -0.06147690108384779, "params": [[-0.0635], [0.076]], "bitstrings": ["11000", "10001"], "total_optimization_steps": 10, "probabilities": [0.03337606546004163, 0.033926446075190256], "optimization_time": 0.7294845581054688}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4)
1
5
1
{"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"], "largest_eigenvalue": 3.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[5] q; ry(-0.013661432647873829) q[0]; rz(-pi) q[0]; h q[1]; ry(-0.47799463725369296) q[1]; h q[2]; ry(1.609883237122917) q[2]; h q[3]; ry(1.609883237122917) q[3]; h q[4]; cx q[4], q[1]; ry(0.47799463725369296) q[1]; cx q[4], q[1]; ry(-0.6440649203767641) q[1]; ry(0.9857223264217165) q[4]; cx q[3], q[4]; ry(-0.20788772536223854) q[4]; cx q[3], q[4]; cx q[3], q[1]; ry(0.122603744374332) q[4]; cx q[2], q[4]; ry(-0.122603744374332) q[4]; cx q[2], q[4]; ry(0.21189818417690193) q[1]; cx q[3], q[1]; ry(-0.0189694417472126) q[1]; cx q[2], q[1]; ry(0.0189694417472126) q[1]; cx q[2], q[1]; ry(-0.04283467146389605) q[4]; cx q[1], q[4]; ry(0.04283467146389605) q[4]; cx q[1], q[4]; ry(0.017363314519572334) q[2]; cx q[3], q[2]; ry(-0.017363314519572334) q[2]; cx q[3], q[2]; ry(0.03652298203699575) q[3]; cx q[2], q[3]; ry(-0.03652298203699575) q[3]; cx q[2], q[3]; cx q[3], q[0]; ry(-0.038989561780665406) q[0]; cx q[3], q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; bit[5] c; qubit[5] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[0], q[1]; rz(x0) q[1]; cx q[0], q[1]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; rz(x1) q[2]; rz(x2) q[0]; rz(x1) q[3]; rz(x3) q[1]; rz(x1) q[4]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; h q[3]; rz(x4) q[3]; h q[3]; h q[4]; rz(x4) q[4]; h q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
null
{"circuits": [], "gradients": []}
[ "IIZIZ", "IZIIZ", "IIIZZ", "ZIIZI", "IIZII", "IIIIZ", "IZIII", "IIIZI", "ZIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0, -1, 0, -0.5, 0 ]
0.994711
[ -1.5961244559276881, 1.609883237122917, -0.9559892745073859, 0.7778346010594781, -0.4321667361998622, 0.4157754507244771, -0.42379636835380385, 0.245207488748664, -0.0379388834944252, 0.03472662903914467, 0.0730459640739915, 0.07797912356133081, -0.0856693429277921 ]
{ "n_parameters": 13, "n_qubits": 5, "optimal_eigenvalue": -2.5, "target_ratio": 0.97, "target_value": -2.425 }
1
ceba285572e61720bd2865b4542d41ef
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7}, {"source": 4, "target": 8}, {"source": 5, "target": 6}, {"source": 6, "target": 8}, {"source": 7, "target": 8}, {"source": 9, "target": 11}, {"source": 9, "target": 12}, {"source": 10, "target": 11}, {"source": 10, "target": 12}, {"source": 11, "target": 12}]}
{"states": [4092, 4088], "expectation_value": -27.393309030724318, "params": [[[-0.0023, -3.1433], [-0.002, -0.002], [-0.0019, 0.0019], [-0.0029000000000000002, -0.002], [-0.0028, -0.0032], [-0.0031000000000000003, -0.0029000000000000002], [0.002, -0.0025], [-0.003, -0.0025], [-0.0026000000000000003, -0.0028], [1.6524, -0.0015], [0.201, 0.1311], [-0.0025, -2.0161000000000002]]], "bitstrings": ["000000000011", "000000000111"], "total_optimization_steps": 470, "probabilities": [0.3264540183581477, 0.37813811436411926], "optimization_time": 16.29304575920105}
-2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(8)) + -2.0 * (Z(9) @ Z(11)) + -2.0 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(6) + -1.5 * Z(11) + -1.5 * Z(9) + -1.5 * Z(10)
15
12
1
{"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 25.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[12] q; ry(-0.07377870626237668) q[0]; ry(0.10467154295354653) q[1]; ry(0.11169375851369125) q[2]; ry(0.05732697470414899) q[3]; ry(0.006558896643000342) q[4]; ry(0.052077945717567166) q[5]; ry(-0.09424981968180796) q[6]; ry(0.0024977978432773537) q[7]; ry(0.26118611367439803) q[8]; ry(2.874080554118763) q[9]; ry(0.05703981953806369) q[10]; ry(-0.03952165194741101) q[11]; cx q[11], q[0]; cx q[10], q[11]; ry(-3.047866818128228) q[11]; cx q[9], q[10]; ry(0.1340790119076143) q[10]; cx q[11], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-3.2108247040228015) q[0]; cx q[0], q[11]; ry(0.10467154295354653) q[1]; cx q[0], q[1]; ry(-0.020803480701261777) q[2]; cx q[1], q[2]; ry(0.10467154295354653) q[3]; cx q[2], q[3]; ry(0.1044552243836897) q[4]; cx q[3], q[4]; ry(0.05732697470414899) q[5]; cx q[4], q[5]; ry(-0.03952165194741101) q[6]; cx q[5], q[6]; ry(-0.03952165194741101) q[7]; cx q[6], q[7]; ry(0.006558896643000342) q[8]; cx q[7], q[8]; ry(-0.19942768071384698) q[9]; cx q[8], q[9]; cx q[9], q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; ry(x11) q[11]; cx q[11], q[0]; cx q[10], q[11]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x12) q[0]; ry(x1) q[1]; ry(x13) q[2]; ry(x1) q[3]; ry(x14) q[4]; ry(x3) q[5]; ry(x11) q[6]; ry(x11) q[7]; ry(x4) q[8]; ry(x15) q[9]; ry(x16) q[10]; ry(x17) q[11]; cx q[11], q[10]; cx q[0], q[11]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; cx q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
{"node": 11}
{"circuits": [], "gradients": []}
[ "IIIIIIIIIIZZ", "IIIIIIIIIZZI", "IIIIIIIIIZIZ", "IIIIIIIIZIZI", "IIIIIIIIZIIZ", "IIIIIIIIZZII", "IIIIIIZZIIII", "IIIIZIZIIIII", "IIIIZIIZIIII", "IIIZIIZIIIII", "IIIZIIIZIIII", "IIIZZIIIIIII", "IIIIIZZIIIII", "IIIIIZIZIIII", "IIIIZZIIIIII", "IIIZIZIIIIII", "ZIZIIIIIIIII", "ZZIIIIIII...
[ -2, -2, -2, -2, -2, 1, -2.5, 0.5, -2, 1, -2.5, -2, -2, 1, 0.5, -2.5, -2, -2, 1, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1.5, -1.5, -1.5 ]
0.97102
[ -0.07377870626237668, 0.10467154295354653, 0.11169375851369125, 0.05732697470414899, 0.006558896643000342, 0.052077945717567166, -0.09424981968180796, 0.0024977978432773537, 0.26118611367439803, 2.874080554118763, 0.05703981953806369, -0.03952165194741101, -3.2108247040228015, -0.020803480...
{ "n_parameters": 18, "n_qubits": 12, "optimal_eigenvalue": -31.5, "target_ratio": 0.97, "target_value": -30.555 }
21
15a5f37f6b324be94a7fa874923284e5
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target": 6}, {"source": 7, "target": 5}]}
{"states": [21, 7], "expectation_value": -13.418284572614745, "params": [[0.0409, 0.018600000000000002, 0.009300000000000001], [-0.0698, -0.06520000000000001, -0.054200000000000005]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.010894916640828495, 0.011468279910591852], "optimization_time": 10.146687269210815}
2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.75 * (Z(6) @ Z(4)) + 3.0 * (Z(7) @ Z(1)) + 3.0 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 2.75 * (Z(7) @ Z(3)) + 3.0 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(6)) + 2.75 * (Z(5) @ Z(7)) + -7.0 * Z(1) + -7.25 * Z(0) + -7.0 * Z(2) + -7.25 * Z(3) + -7.25 * Z(4) + -6.5 * Z(6) + -6.5 * Z(7) + -6.25 * Z(5)
16
8
3
{"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.08660647235805458) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(-0.08660647235805458) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.08660647235805458) q[2]; cx q[0], q[2]; h q[3]; cx q[1], q[3]; rz(-0.08660647235805458) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.08660647235805458) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-0.08660647235805458) q[3]; cx q[2], q[3]; h q[4]; cx q[1], q[4]; rz(-0.08660647235805458) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.08660647235805458) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(-0.08660647235805458) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(-0.08660647235805458) q[4]; cx q[3], q[4]; h q[5]; h q[6]; cx q[1], q[6]; rz(-0.12731865885304094) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(-0.08660647235805458) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(-0.12731865885304094) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(-0.12731865885304094) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(-0.08660647235805458) q[6]; cx q[4], q[6]; h q[7]; cx q[1], q[7]; rz(-0.12731865885304094) q[7]; cx q[1], q[7]; cx q[0], q[7]; cx q[1], q[5]; rz(-0.12731865885304094) q[5]; cx q[1], q[5]; rz(0.48657199882735824) q[1]; rx(0.9610136853971377) q[1]; rz(-0.12731865885304094) q[7]; cx q[0], q[7]; cx q[0], q[5]; cx q[2], q[7]; rz(-0.12731865885304094) q[5]; cx q[0], q[5]; rz(0.7706787253710705) q[0]; rx(0.9610136853971377) q[0]; cx q[1], q[0]; rz(-0.12372097609642718) q[0]; cx q[1], q[0]; rz(-0.12731865885304094) q[7]; cx q[2], q[7]; cx q[2], q[5]; cx q[3], q[7]; rz(-0.12731865885304094) q[5]; cx q[2], q[5]; rz(0.48657199882735824) q[2]; rx(0.9610136853971377) q[2]; cx q[1], q[2]; rz(-0.12372097609642718) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.12372097609642718) q[2]; cx q[0], q[2]; rz(-0.08660647235805458) q[7]; cx q[3], q[7]; cx q[3], q[5]; cx q[4], q[7]; rz(-0.12731865885304094) q[5]; cx q[3], q[5]; rz(0.7706787253710705) q[3]; rx(0.9610136853971377) q[3]; cx q[1], q[3]; rz(-0.12372097609642718) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.12372097609642718) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-0.12372097609642718) q[3]; cx q[2], q[3]; rz(-0.12731865885304094) q[7]; cx q[4], q[7]; cx q[4], q[5]; rz(-0.12731865885304094) q[5]; cx q[4], q[5]; rz(0.7706787253710705) q[4]; rx(0.9610136853971377) q[4]; cx q[1], q[4]; rz(-0.12372097609642718) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.12372097609642718) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(-0.12372097609642718) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(-0.12372097609642718) q[4]; cx q[3], q[4]; cx q[6], q[7]; rz(-0.12731865885304094) q[7]; cx q[6], q[7]; cx q[6], q[5]; rz(-0.12731865885304094) q[5]; cx q[6], q[5]; rz(-0.8608749269636786) q[6]; rx(0.9610136853971378) q[6]; cx q[1], q[6]; rz(0.008478123483654525) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(-0.12372097609642718) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.008478123483654525) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.008478123483654525) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(-0.12372097609642718) q[6]; cx q[4], q[6]; cx q[7], q[5]; rz(-0.08660647235805458) q[5]; cx q[7], q[5]; rz(-0.3691202591452014) q[5]; rx(0.9610136853971379) q[5]; rz(-0.8608749269636786) q[7]; rx(0.9610136853971378) q[7]; cx q[1], q[7]; rz(0.008478123483654525) q[7]; cx q[1], q[7]; cx q[0], q[7]; cx q[1], q[5]; rz(0.008478123483654525) q[5]; cx q[1], q[5]; rz(1.277526397553868) q[1]; rx(0.6744201652912934) q[1]; rz(0.008478123483654525) q[7]; cx q[0], q[7]; cx q[0], q[5]; cx q[2], q[7]; rz(0.008478123483654525) q[5]; cx q[0], q[5]; rz(0.6268134313553002) q[0]; rx(0.6744201652912934) q[0]; cx q[1], q[0]; rz(-0.20640219064793844) q[0]; cx q[1], q[0]; rz(0.008478123483654525) q[7]; cx q[2], q[7]; cx q[2], q[5]; cx q[3], q[7]; rz(0.008478123483654525) q[5]; cx q[2], q[5]; rz(1.277526397553868) q[2]; rx(0.6744201652912934) q[2]; cx q[1], q[2]; rz(-0.20640219064793844) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.20640219064793844) q[2]; cx q[0], q[2]; rz(-0.12372097609642718) q[7]; cx q[3], q[7]; cx q[3], q[5]; cx q[4], q[7]; rz(0.008478123483654525) q[5]; cx q[3], q[5]; rz(0.6268134313553002) q[3]; rx(0.6744201652912934) q[3]; cx q[1], q[3]; rz(-0.20640219064793844) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.20640219064793844) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-0.20640219064793844) q[3]; cx q[2], q[3]; rz(0.008478123483654525) q[7]; cx q[4], q[7]; cx q[4], q[5]; rz(0.008478123483654525) q[5]; cx q[4], q[5]; rz(0.6268134313553002) q[4]; rx(0.6744201652912934) q[4]; cx q[1], q[4]; rz(-0.20640219064793844) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.20640219064793844) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(-0.20640219064793844) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(-0.20640219064793844) q[4]; cx q[3], q[4]; cx q[6], q[7]; rz(0.008478123483654525) q[7]; cx q[6], q[7]; cx q[6], q[5]; rz(0.008478123483654525) q[5]; cx q[6], q[5]; rz(-0.10538367740546262) q[6]; rx(0.6744201652912936) q[6]; cx q[1], q[6]; rz(-0.45310879742270976) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(-0.20640219064793844) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(-0.45310879742270976) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(-0.45310879742270976) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(-0.20640219064793844) q[6]; cx q[4], q[6]; cx q[7], q[5]; rz(-0.12372097609642718) q[5]; cx q[7], q[5]; rz(-0.7851989999830176) q[5]; rx(0.6744201652912936) q[5]; rz(-0.10538367740546262) q[7]; rx(0.6744201652912936) q[7]; cx q[1], q[7]; rz(-0.45310879742270976) q[7]; cx q[1], q[7]; cx q[0], q[7]; cx q[1], q[5]; rz(-0.45310879742270976) q[5]; cx q[1], q[5]; rz(0.06968990679297171) q[1]; rx(0.5791837092556477) q[1]; rz(-0.45310879742270976) q[7]; cx q[0], q[7]; cx q[0], q[5]; cx q[2], q[7]; rz(-0.45310879742270976) q[5]; cx q[0], q[5]; rz(0.6717057885969022) q[0]; rx(0.5791837092556477) q[0]; cx q[1], q[0]; rz(-0.2613978045411366) q[0]; cx q[1], q[0]; rz(-0.45310879742270976) q[7]; cx q[2], q[7]; cx q[2], q[5]; cx q[3], q[7]; rz(-0.45310879742270976) q[5]; cx q[2], q[5]; rz(0.06968990679297171) q[2]; rx(0.5791837092556477) q[2]; cx q[1], q[2]; rz(-0.2613978045411366) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.2613978045411366) q[2]; cx q[0], q[2]; rz(-0.20640219064793844) q[7]; cx q[3], q[7]; cx q[3], q[5]; cx q[4], q[7]; rz(-0.45310879742270976) q[5]; cx q[3], q[5]; rz(0.6717057885969022) q[3]; rx(0.5791837092556477) q[3]; cx q[1], q[3]; rz(-0.2613978045411366) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.2613978045411366) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-0.2613978045411366) q[3]; cx q[2], q[3]; rz(-0.45310879742270976) q[7]; cx q[4], q[7]; cx q[4], q[5]; rz(-0.45310879742270976) q[5]; cx q[4], q[5]; rz(0.6717057885969022) q[4]; rx(0.5791837092556477) q[4]; cx q[1], q[4]; rz(-0.2613978045411366) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.2613978045411366) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(-0.2613978045411366) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(-0.2613978045411366) q[4]; cx q[3], q[4]; cx q[6], q[7]; rz(-0.45310879742270976) q[7]; cx q[6], q[7]; cx q[6], q[5]; rz(-0.45310879742270976) q[5]; cx q[6], q[5]; rz(-0.023879385328823943) q[6]; rx(0.5791837092556475) q[6]; cx q[1], q[6]; rz(-0.21603391938273503) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(-0.2613978045411366) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(-0.21603391938273503) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(-0.21603391938273503) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(-0.2613978045411366) q[6]; cx q[4], q[6]; cx q[7], q[5]; rz(-0.20640219064793844) q[5]; cx q[7], q[5]; rz(0.2662440671876043) q[5]; rx(0.5791837092556475) q[5]; rz(-0.023879385328823943) q[7]; rx(0.5791837092556475) q[7]; cx q[1], q[7]; rz(-0.21603391938273503) q[7]; cx q[1], q[7]; cx q[0], q[7]; cx q[1], q[5]; rz(-0.21603391938273503) q[5]; cx q[1], q[5]; rz(-0.9634258948748045) q[1]; rx(-0.10765902264553093) q[1]; rz(-0.21603391938273503) q[7]; cx q[0], q[7]; cx q[0], q[5]; cx q[2], q[7]; rz(-0.21603391938273503) q[5]; cx q[0], q[5]; rz(-0.9421693907818174) q[0]; rx(-0.10765902264553098) q[0]; rz(-0.21603391938273503) q[7]; cx q[2], q[7]; cx q[2], q[5]; cx q[3], q[7]; rz(-0.21603391938273503) q[5]; cx q[2], q[5]; rz(-0.9634258948748045) q[2]; rx(-0.10765902264553093) q[2]; rz(-0.2613978045411366) q[7]; cx q[3], q[7]; cx q[3], q[5]; cx q[4], q[7]; rz(-0.21603391938273503) q[5]; cx q[3], q[5]; rz(-0.9421693907818174) q[3]; rx(-0.10765902264553098) q[3]; rz(-0.21603391938273503) q[7]; cx q[4], q[7]; cx q[4], q[5]; rz(-0.21603391938273503) q[5]; cx q[4], q[5]; rz(-0.9421693907818174) q[4]; rx(-0.10765902264553098) q[4]; cx q[6], q[7]; rz(-0.21603391938273503) q[7]; cx q[6], q[7]; cx q[6], q[5]; rz(-0.21603391938273503) q[5]; cx q[6], q[5]; rz(-0.3038126072305021) q[6]; rx(-0.10765902264553104) q[6]; cx q[7], q[5]; rz(-0.2613978045411366) q[5]; cx q[7], q[5]; rz(-1.3764162247359053) q[5]; rx(-0.1076590226455311) q[5]; rz(-0.3038126072305021) q[7]; rx(-0.10765902264553104) q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[6]; rz(x1) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x0) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x1) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x1) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x0) q[6]; cx q[4], q[6]; cx q[1], q[7]; rz(x1) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x1) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x1) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x0) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x1) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x1) q[7]; cx q[6], q[7]; cx q[1], q[5]; rz(x1) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x1) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x1) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x1) q[5]; cx q[4], q[5]; cx q[6], q[5]; rz(x1) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(x0) q[5]; cx q[7], q[5]; rz(x2) q[1]; rz(x3) q[0]; rz(x2) q[2]; rz(x3) q[3]; rz(x3) q[4]; rz(x4) q[6]; rz(x4) q[7]; rz(x5) q[5]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; h q[7]; rz(x6) q[7]; h q[7]; cx q[1], q[0]; rz(x7) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x7) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x7) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x7) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x7) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x7) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x7) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x7) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x7) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x7) q[4]; cx q[3], q[4]; cx q[1], q[6]; rz(x8) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x7) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x8) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x8) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x7) q[6]; cx q[4], q[6]; cx q[1], q[7]; rz(x8) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x8) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x8) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x7) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x8) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x8) q[7]; cx q[6], q[7]; cx q[1], q[5]; rz(x8) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x8) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x8) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x8) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x8) q[5]; cx q[4], q[5]; cx q[6], q[5]; rz(x8) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(x7) q[5]; cx q[7], q[5]; rz(x9) q[1]; rz(x10) q[0]; rz(x9) q[2]; rz(x10) q[3]; rz(x10) q[4]; rz(x11) q[6]; rz(x11) q[7]; rz(x12) q[5]; h q[0]; rz(x13) q[0]; h q[0]; h q[1]; rz(x13) q[1]; h q[1]; h q[2]; rz(x13) q[2]; h q[2]; h q[3]; rz(x13) q[3]; h q[3]; h q[4]; rz(x13) q[4]; h q[4]; h q[5]; rz(x13) q[5]; h q[5]; h q[6]; rz(x13) q[6]; h q[6]; h q[7]; rz(x13) q[7]; h q[7]; cx q[1], q[0]; rz(x14) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x14) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x14) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x14) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x14) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x14) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x14) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x14) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x14) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x14) q[4]; cx q[3], q[4]; cx q[1], q[6]; rz(x15) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x14) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x15) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x15) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x14) q[6]; cx q[4], q[6]; cx q[1], q[7]; rz(x15) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x15) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x15) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x14) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x15) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x15) q[7]; cx q[6], q[7]; cx q[1], q[5]; rz(x15) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x15) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x15) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x15) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x15) q[5]; cx q[4], q[5]; cx q[6], q[5]; rz(x15) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(x14) q[5]; cx q[7], q[5]; rz(x16) q[1]; rz(x17) q[0]; rz(x16) q[2]; rz(x17) q[3]; rz(x17) q[4]; rz(x18) q[6]; rz(x18) q[7]; rz(x19) q[5]; h q[0]; rz(x20) q[0]; h q[0]; h q[1]; rz(x20) q[1]; h q[1]; h q[2]; rz(x20) q[2]; h q[2]; h q[3]; rz(x20) q[3]; h q[3]; h q[4]; rz(x20) q[4]; h q[4]; h q[5]; rz(x20) q[5]; h q[5]; h q[6]; rz(x20) q[6]; h q[6]; h q[7]; rz(x20) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"k": 5}
{"circuits": [], "gradients": []}
[ "IIIIIIZZ", "IIIIIZZI", "IIIIIZIZ", "IIIIZIZI", "IIIIZIIZ", "IIIIZZII", "IIIZIIZI", "IIIZIIIZ", "IIIZIZII", "IIIZZIII", "IZIIIIZI", "IZIIIIIZ", "IZIIIZII", "IZIIZIII", "IZIZIIII", "ZIIIIIZI", "ZIIIIIIZ", "ZIIIIZII", "ZIIIZIII", "ZIIZIIII", "ZZIIIIII", "IIZIIIZI", "IIZIIII...
[ 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 3, 2.75, 3, 3, 2.75, 3, 3, 3, 2.75, 3, 3, 3, 3, 3, 3, 3, 3, 2.75, -7, -7.25, -7, -7.25, -7.25, -6.5, -6.5, -6.25 ]
0.9711
[ -0.08660647235805458, -0.12731865885304094, 0.486571998827358, 0.7706787253710705, -0.8608749269636787, -0.3691202591452013, 0.9610136853971378, -0.12372097609642718, 0.008478123483654525, 1.277526397553868, 0.6268134313552999, -0.10538367740546278, -0.7851989999830177, 0.6744201652912936,...
{ "n_parameters": 28, "n_qubits": 8, "optimal_eigenvalue": -24.5, "target_ratio": 0.97, "target_value": -23.765 }
86
fbbd8eb0c295edadedab0040e35f46b9
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}], "edges": [{"weight": 6, "source": 0, "target": 6}, {"weight": 6, "source": 1, "target": 7}, {"weight": 2, "source": 2, "target": 8}, {"weight": 18, "source": 2, "target": 13}, {"weight": 6, "source": 3, "target": 9}, {"weight": 14, "source": 3, "target": 11}, {"weight": 16, "source": 3, "target": 7}, {"weight": 14, "source": 3, "target": 12}, {"weight": 9, "source": 4, "target": 10}, {"weight": 14, "source": 4, "target": 13}, {"weight": 7, "source": 5, "target": 11}]}
{"states": [372, 370], "expectation_value": -115.07046375864395, "params": [[[1.5727, 0.3295], [0.0019, 0.3347], [1.5687, 0.8756], [0.002, 0.8804000000000001], [1.8331000000000002, 0.0021000000000000003], [0.4187, -0.0019], [-1.8325, 0.0017000000000000001], [0.0034000000000000002, 0.9724], [3.1443000000000003, 1.5690000000000002], [-0.0017000000000000001, -0.0007], [0.9104000000000001, 0.0732]], [[1.5689000000000002, -0.0024000000000000002], [0.0019, 0.0019], [1.5687, -0.0018000000000000002], [0.002, -0.0019], [1.2958, -0.0206], [1.1648, 1.5645], [3.5932000000000004, 1.5735000000000001], [1.2099, -0.6512], [1.5733000000000001, -3.1724], [1.5681, -0.0022], [1.5689000000000002, -0.5796]]], "bitstrings": ["11010001011", "11010001101"], "total_optimization_steps": 450, "probabilities": [0.4845325993167366, 0.5153460585001833], "optimization_time": 49.89874243736267}
7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(4)) + -6.5 * Z(3) + 9.0 * Z(2) + 23.0 * Z(6) + -4.5 * Z(1) + 14.5 * Z(5) + 10.5 * Z(7) + 22.0 * Z(4) + 7.0 * Z(9) + -3.0 * Z(8) + -4.0 * Z(10) + -12.0 * Z(0)
15
11
2
{"smallest_eigenvalues": [-117.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["11010001101"], "largest_eigenvalue": 162.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[11] q; ry(1.4267263955014178) q[0]; ry(0.02301220187845336) q[1]; ry(1.6035277181185734) q[2]; ry(-0.03340657313318903) q[3]; ry(1.882999607989855) q[4]; ry(0.395012404474026) q[5]; ry(-1.8542496832858695) q[6]; ry(0.002633278130645702) q[7]; ry(3.3819328507721846) q[8]; ry(0.11784818941466907) q[9]; ry(1.1258832213656946) q[10]; cx q[10], q[0]; cx q[9], q[10]; ry(-0.1602742769590514) q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.18710649863280168) q[0]; ry(0.20382089100836806) q[1]; ry(0.6970976327636124) q[2]; ry(0.6774920666144442) q[3]; ry(0.05102972064774549) q[4]; ry(-0.03717009838927903) q[5]; ry(0.0846201799088617) q[6]; ry(0.9575129477432951) q[7]; ry(1.541928642995163) q[8]; ry(-0.07926262251319154) q[9]; cx q[10], q[9]; cx q[0], q[10]; cx q[0], q[1]; ry(1.601097929868421) q[0]; cx q[1], q[2]; ry(0.02301220187845336) q[1]; ry(1.601097929868421) q[10]; cx q[10], q[0]; cx q[2], q[3]; ry(1.6035277181185734) q[2]; cx q[3], q[4]; ry(-0.03340657313318903) q[3]; cx q[4], q[5]; ry(1.276079361983891) q[4]; cx q[5], q[6]; ry(1.1598546400627512) q[5]; cx q[6], q[7]; ry(3.6023188284152203) q[6]; cx q[7], q[8]; ry(1.211373938243425) q[7]; cx q[8], q[9]; ry(1.4625808995813228) q[8]; ry(1.5197427988282683) q[9]; cx q[9], q[10]; ry(-0.5888554504219549) q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.07629436522110347) q[0]; ry(0.02301220187845336) q[1]; ry(-0.02173243090652944) q[2]; ry(-0.03717009838927903) q[3]; ry(-0.04220150167500688) q[4]; ry(1.5802080664481857) q[5]; ry(1.553111938157421) q[6]; ry(-0.5575223268248846) q[7]; ry(-3.3772547960299697) q[8]; ry(0.009011390674781607) q[9]; cx q[10], q[9]; cx q[0], q[10]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; cx q[10], q[0]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x11) q[0]; ry(x12) q[1]; ry(x13) q[2]; ry(x14) q[3]; ry(x15) q[4]; ry(x16) q[5]; ry(x17) q[6]; ry(x18) q[7]; ry(x19) q[8]; ry(x20) q[9]; ry(x21) q[10]; cx q[10], q[9]; cx q[0], q[10]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; ry(x22) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x23) q[4]; ry(x24) q[5]; ry(x25) q[6]; ry(x26) q[7]; ry(x27) q[8]; ry(x28) q[9]; ry(x22) q[10]; cx q[10], q[0]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x29) q[0]; ry(x1) q[1]; ry(x30) q[2]; ry(x16) q[3]; ry(x31) q[4]; ry(x32) q[5]; ry(x33) q[6]; ry(x34) q[7]; ry(x35) q[8]; ry(x36) q[9]; ry(x37) q[10]; cx q[10], q[9]; cx q[0], q[10]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZII", "IIIIZIIIIZI", "IIIIZZIIIII", "IIIZZIIIIII", "IIIZIZIIIII", "IIIIZIZIIII", "IIIIIZZIIII", "IIIZIIZIIII", "IZIIIIIIZII", "IZZIIIIIIII", "ZIIIIIZIIII", "IIIIIIIZIII", "IIIIIIIIZII", "IIIIZIIIIII", "IIIIIIIIIZI", "IIIIIZIIIII", "IIIZIIIIIII", "IIIIIIZIIII", "IZIIIIIII...
[ 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, -6.5, 9, 23, -4.5, 14.5, 10.5, 22, 7, -3, -4, -12 ]
0.972413
[ 1.4267263955014178, 0.02301220187845336, 1.6035277181185734, -0.03340657313318903, 1.882999607989855, 0.395012404474026, -1.8542496832858695, 0.002633278130645702, 3.3819328507721846, 0.11784818941466907, 1.1258832213656946, 0.18710649863280168, 0.20382089100836806, 0.6970976327636124, 0...
{ "n_parameters": 38, "n_qubits": 11, "optimal_eigenvalue": -117.5, "target_ratio": 0.97, "target_value": -113.975 }
18
50ae2479d5601754158b9fc59193bb01
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}]}
{"states": [21, 90], "expectation_value": -0.12445109953014823, "params": [[0.014100000000000001, -0.0626], [-0.0565, 0.058300000000000005]], "bitstrings": ["1101010", "0100101"], "total_optimization_steps": 10, "probabilities": [0.008448657725763347, 0.00868207080944421], "optimization_time": 2.7425901889801025}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3)
1
7
2
{"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0100101"], "largest_eigenvalue": 8.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; ry(0.8641516243728328) q[0]; rz(0.12726576765066508) q[0]; ry(0.7102320564934299) q[1]; ry(0.22422525448080505) q[2]; ry(-0.026146315359939894) q[3]; ry(0.6080971468829723) q[4]; ry(0.782750503349865) q[5]; ry(-0.08643926721123996) q[6]; ry(-0.03991970599118564) q[7]; cx q[7], q[0]; rz(-0.12726576765066508) q[0]; cx q[7], q[0]; rz(0.23171625137974977) q[7]; cx q[6], q[7]; rz(-0.23171625137974977) q[7]; cx q[6], q[7]; rz(-0.041117702927092735) q[6]; cx q[5], q[6]; rz(0.041117702927092735) q[6]; cx q[5], q[6]; rz(0.036735757395592) q[5]; cx q[4], q[5]; rz(-0.036735757395592) q[5]; cx q[4], q[5]; rz(0.19786145056352825) q[4]; cx q[3], q[4]; rz(-0.19786145056352825) q[4]; cx q[3], q[4]; rz(0.07318756557780404) q[3]; cx q[2], q[3]; rz(-0.07318756557780404) q[3]; cx q[2], q[3]; rz(0.08414281756984394) q[2]; cx q[1], q[2]; rz(-0.08414281756984394) q[2]; cx q[1], q[2]; rz(0.12147603075624047) q[1]; cx q[0], q[1]; rz(-0.12147603075624047) q[1]; cx q[0], q[1]; ry(0.6628070369969288) q[0]; ry(0.6647492698781308) q[1]; rz(-0.06530833670925941) q[1]; ry(0.12235901789246478) q[2]; rz(0.013053301570619345) q[2]; ry(-0.04023064780140641) q[3]; rz(0.0511648479011869) q[3]; ry(0.8360771267699956) q[4]; rz(0.18280319928105657) q[4]; ry(0.6222831769957762) q[5]; rz(-0.11648596318550183) q[5]; ry(0.073471514791184) q[6]; rz(0.16346930720639974) q[6]; ry(-0.001756329646703067) q[7]; cx q[7], q[6]; rz(-0.16346930720639974) q[6]; cx q[7], q[6]; rz(0.08055799501598734) q[7]; cx q[0], q[7]; rz(-0.08055799501598734) q[7]; cx q[0], q[7]; cx q[0], q[1]; rz(0.06530833670925941) q[1]; cx q[0], q[1]; ry(0.7845926309478797) q[0]; cx q[1], q[2]; rz(-0.013053301570619345) q[2]; cx q[1], q[2]; cx q[2], q[3]; ry(0.6804053598392383) q[1]; rz(-0.0511648479011869) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(-0.18280319928105657) q[4]; cx q[3], q[4]; cx q[4], q[5]; rz(0.11648596318550183) q[5]; cx q[4], q[5]; rz(-0.041117702927092735) q[6]; cx q[5], q[6]; rz(0.041117702927092735) q[6]; cx q[5], q[6]; rz(0.07397176383610082) q[0]; ry(0.15713116254791132) q[2]; ry(0.07409023005097176) q[3]; ry(0.881073603839848) q[4]; ry(0.5814415705478869) q[5]; ry(0.07292589800085442) q[6]; ry(0.1611159900319747) q[7]; cx q[7], q[0]; rz(-0.07397176383610082) q[0]; cx q[7], q[0]; rz(0.2568281152837024) q[7]; cx q[6], q[7]; rz(-0.2568281152837024) q[7]; cx q[6], q[7]; rz(0.026161345933964207) q[6]; cx q[5], q[6]; rz(-0.026161345933964207) q[6]; cx q[5], q[6]; rz(0.04821125517023332) q[5]; cx q[4], q[5]; rz(-0.04821125517023332) q[5]; cx q[4], q[5]; rz(0.06117950894623239) q[4]; cx q[3], q[4]; rz(-0.06117950894623239) q[4]; cx q[3], q[4]; rz(0.15358396996721752) q[3]; cx q[2], q[3]; rz(-0.15358396996721752) q[3]; cx q[2], q[3]; rz(-0.09785557763428446) q[2]; cx q[1], q[2]; rz(0.09785557763428446) q[2]; cx q[1], q[2]; rz(0.03255007053963149) q[1]; cx q[0], q[1]; rz(-0.03255007053963149) q[1]; cx q[0], q[1]; ry(0.7845926309478797) q[0]; ry(0.9023957990175039) q[1]; rz(0.059785700273314445) q[1]; ry(-0.23355456268266733) q[2]; rz(-0.1130321120898201) q[2]; ry(0.07409023005097176) q[3]; rz(0.04966691094494741) q[3]; ry(0.699557383633161) q[4]; rz(0.028553732686380413) q[4]; ry(0.7183108644753534) q[5]; rz(0.032220899020382186) q[5]; ry(0.05497689781269613) q[6]; rz(0.0414654081728171) q[6]; ry(-0.10727454752940835) q[7]; cx q[7], q[6]; rz(-0.0414654081728171) q[6]; cx q[7], q[6]; rz(-0.041117702927092735) q[7]; cx q[0], q[7]; rz(0.041117702927092735) q[7]; cx q[0], q[7]; cx q[0], q[1]; rz(-0.059785700273314445) q[1]; cx q[0], q[1]; cx q[1], q[2]; rz(0.1130321120898201) q[2]; cx q[1], q[2]; cx q[2], q[3]; rz(-0.04966691094494741) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(-0.028553732686380413) q[4]; cx q[3], q[4]; cx q[4], q[5]; rz(-0.032220899020382186) q[5]; cx q[4], q[5]; rz(0.002138236346477978) q[6]; cx q[5], q[6]; rz(-0.002138236346477978) q[6]; cx q[5], q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[1], q[6]; rz(x0) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x0) q[6]; cx q[0], q[6]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(x0) q[5]; cx q[6], q[5]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[4]; rz(x2) q[6]; rz(x3) q[5]; rz(x4) q[2]; rz(x4) q[3]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; cx q[1], q[0]; rz(x6) q[0]; cx q[1], q[0]; cx q[0], q[4]; rz(x6) q[4]; cx q[0], q[4]; cx q[1], q[6]; rz(x6) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x6) q[6]; cx q[0], q[6]; cx q[1], q[5]; rz(x6) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(x6) q[5]; cx q[6], q[5]; cx q[1], q[2]; rz(x6) q[2]; cx q[1], q[2]; cx q[4], q[3]; rz(x6) q[3]; cx q[4], q[3]; rz(x7) q[1]; rz(x8) q[0]; rz(x9) q[4]; rz(x8) q[6]; rz(x9) q[5]; rz(x4) q[2]; rz(x4) q[3]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
[ "IIIIIZZ", "IIZIIIZ", "ZIIIIZI", "ZIIIIIZ", "IZIIIZI", "ZZIIIII", "IIIIZZI", "IIZZIII", "IIIIIZI", "IIIIIIZ", "IIZIIII", "ZIIIIII", "IZIIIII", "IIIIZII", "IIIZIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1.5, -1, -0.5, -1, -0.5, 0, 0 ]
0.971114
[ 0.8641516243728328, 0.7102320564934299, 0.22422525448080505, -0.026146315359939894, 0.6080971468829723, 0.782750503349865, -0.08643926721123996, -0.03991970599118564, 0.25453153530133016, 0.46343250275949954, -0.08223540585418547, 0.073471514791184, 0.3957229011270565, 0.14637513115560807,...
{ "n_parameters": 57, "n_qubits": 8, "optimal_eigenvalue": -3.625, "target_ratio": 0.97, "target_value": -3.51625 }
7
119f5bb57fe729fc61765e50d3ad4135
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}], "edges": [{"weight": 4, "source": 0, "target": 6}, {"weight": 16, "source": 0, "target": 7}, {"weight": 18, "source": 0, "target": 9}, {"weight": 1, "source": 1, "target": 7}, {"weight": 7, "source": 2, "target": 8}, {"weight": 16, "source": 2, "target": 7}, {"weight": 18, "source": 2, "target": 10}, {"weight": 1, "source": 3, "target": 9}, {"weight": 5, "source": 4, "target": 10}, {"weight": 1, "source": 5, "target": 11}, {"weight": 17, "source": 5, "target": 8}]}
{"states": [609, 865], "expectation_value": -102.5498570440345, "params": [[0.0879, 0.8112, 0.2285, -0.07350000000000001, 0.7579, 0.2326, 0.08370000000000001, -0.0024000000000000002, 0.0005, 0.0028, 0.8019000000000001], [-0.1409, 0.8916000000000001, 0.896, -0.3044, 0.9016000000000001, 0.8939, 0.5192, -0.0023, 0.0026000000000000003, 0.0034000000000000002, 0.7904], [-0.0765, 0.2449, 0.1703, 0.0468, 0.2808, 0.0818, 0.1027, -0.0022, 0.0037, -0.0036000000000000003, 0.7611], [0.43410000000000004, 0.898, 0.8967, 0.44530000000000003, 0.8988, 0.8976000000000001, 0.47700000000000004, -0.0021000000000000003, 0.0014, 0.0035, 0.7849]], "bitstrings": ["10110011110", "10010011110"], "total_optimization_steps": 90, "probabilities": [0.14257474246816765, 0.20850500648160125], "optimization_time": 24.688738584518433}
8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(8) @ Z(4)) + 8.0 * (Z(10) @ Z(6)) + 8.0 * (Z(9) @ Z(10)) + 17.0 * Z(2) + 24.0 * Z(1) + 2.0 * Z(0) + 0.5 * Z(3) + 24.0 * Z(5) + 17.0 * Z(4) + 11.5 * Z(6) + -7.5 * Z(7) + -5.5 * Z(8) + 8.5 * Z(10) + -7.5 * Z(9)
10
11
3
{"smallest_eigenvalues": [-153.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.0, "smallest_bitstrings": ["10010011110"], "largest_eigenvalue": 188.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[11] q; ry(0.2274011954523155) q[0]; ry(0.7636404489091297) q[1]; ry(-0.025586360427524647) q[2]; ry(0.2048456851027259) q[3]; ry(0.5937268288658395) q[4]; ry(0.37216995236809536) q[5]; ry(-0.6513751460182607) q[6]; ry(-0.011222984269961503) q[7]; ry(-0.2162216335096102) q[8]; ry(0.3135839373279041) q[9]; ry(0.5551151346101016) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.31248889492659543) q[0]; ry(1.1465854279827394) q[1]; ry(0.6826578731387437) q[10]; ry(2.3654202969728324) q[2]; ry(-0.4306469575827131) q[3]; ry(1.570778598644379) q[4]; ry(1.1394689735327752) q[5]; ry(0.07237143640558312) q[6]; ry(-0.06420506674352458) q[7]; ry(-0.4073089272713992) q[8]; ry(-0.5618976288328674) q[9]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.1448231910240003) q[0]; ry(-0.2837195183261819) q[1]; ry(1.1789281875781614) q[10]; ry(0.31710021662385607) q[2]; ry(0.15413466149369062) q[3]; ry(0.09987809845230974) q[4]; ry(-0.36149386608477474) q[5]; ry(0.31299705438072817) q[6]; ry(-0.27339689096091446) q[7]; ry(0.5295975543952355) q[8]; ry(-0.06008802623342933) q[9]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(0.022319191590830706) q[0]; ry(1.0677354327670943) q[1]; ry(0.8336752817033356) q[10]; ry(1.0946552682461212) q[2]; ry(0.41928378681969025) q[3]; ry(0.9320155348491678) q[4]; ry(1.6073241258121953) q[5]; ry(0.35585787461657886) q[6]; ry(0.3992387563808343) q[7]; ry(0.05103886630266171) q[8]; ry(-0.09643222931372425) q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x11) q[0]; ry(x12) q[1]; ry(x13) q[2]; ry(x14) q[3]; ry(x15) q[4]; ry(x16) q[5]; ry(x17) q[6]; ry(x18) q[7]; ry(x19) q[8]; ry(x20) q[9]; ry(x21) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x22) q[0]; ry(x23) q[1]; ry(x24) q[2]; ry(x25) q[3]; ry(x26) q[4]; ry(x27) q[5]; ry(x28) q[6]; ry(x29) q[7]; ry(x30) q[8]; ry(x31) q[9]; ry(x32) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x33) q[0]; ry(x34) q[1]; ry(x35) q[2]; ry(x36) q[3]; ry(x37) q[4]; ry(x38) q[5]; ry(x39) q[6]; ry(x40) q[7]; ry(x41) q[8]; ry(x42) q[9]; ry(x43) q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIIZZI", "IIIIIIIIZIZ", "IIIIIIIIIZZ", "IIIIIIIZIZI", "IIIIIZIIIZI", "IIIIIZIZIII", "IIIIIZZIIII", "IIIIZZIIIII", "IIIIZIZIIII", "IIIZIIIIZII", "IIZIIIZIIII", "ZIIIZIIIIII", "ZZIIIIIIIII", "IIIIIIIIZII", "IIIIIIIIIZI", "IIIIIIIIIIZ", "IIIIIIIZIII", "IIIIIZIIIII", "IIIIIIZII...
[ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 17, 24, 2, 0.5, 24, 17, 11.5, -7.5, -5.5, 8.5, -7.5 ]
0.972088
[ 0.2274011954523155, 0.7636404489091297, -0.025586360427524647, 0.2048456851027259, 0.5937268288658395, 0.37216995236809536, -0.6513751460182607, -0.011222984269961503, -0.2162216335096102, 0.3135839373279041, 0.5551151346101016, -0.31248889492659543, 1.1465854279827394, 2.3654202969728324,...
{ "n_parameters": 44, "n_qubits": 11, "optimal_eigenvalue": -153, "target_ratio": 0.97, "target_value": -148.41 }
41
b2a86e79e509d0d76748a475959a4d60
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"weight": 20, "source": 3, "target": 4}, {"weight": 14, "source": 3, "target": 5}, {"weight": 1, "source": 4, "target": 5}, {"weight": 19, "source": 4, "target": 6}]}
{"states": [205, 109], "expectation_value": -16.970238326291383, "params": [[-0.028200000000000003, 0.0363, 0.0261], [0.0543, -0.034800000000000005, -0.057600000000000005]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.009962269322946811, 0.010748121188147754], "optimization_time": 5.449518918991089}
4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) + 0.5 * Z(0) + 18.5 * Z(1) + 5.5 * Z(3) + 22.0 * Z(4) + 15.0 * Z(5) + 4.5 * Z(6) + 13.5 * Z(7)
1
8
3
{"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 145.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; cx q[3], q[0]; rz(0.10531842151091338) q[0]; cx q[3], q[0]; rz(0.4891930059834122) q[0]; rx(-0.0661317683158416) q[0]; cx q[3], q[1]; rz(0.10531842151091338) q[1]; cx q[3], q[1]; cx q[1], q[2]; rz(0.10531842151091338) q[2]; cx q[1], q[2]; h q[4]; h q[5]; cx q[3], q[5]; rz(0.10531842151091338) q[5]; cx q[3], q[5]; cx q[1], q[5]; rz(0.10531842151091338) q[5]; cx q[1], q[5]; rz(-0.3889941233568126) q[1]; rx(-0.06613176831584153) q[1]; rz(0.09888614070956114) q[5]; rx(-0.06613176831584158) q[5]; h q[6]; cx q[3], q[6]; rz(0.10531842151091338) q[6]; cx q[3], q[6]; cx q[2], q[6]; rz(-0.9612079782757412) q[3]; rx(-0.06613176831584154) q[3]; cx q[3], q[0]; rz(-0.15982742550497311) q[0]; cx q[3], q[0]; rz(0.48919300598341087) q[0]; rx(-0.4201896546463098) q[0]; cx q[3], q[1]; rz(-0.15982742550497311) q[1]; cx q[3], q[1]; cx q[3], q[5]; rz(-0.15982742550497311) q[5]; cx q[3], q[5]; rz(0.10531842151091338) q[6]; cx q[2], q[6]; rz(0.09888614070956114) q[2]; rx(-0.06613176831584158) q[2]; cx q[1], q[2]; rz(-0.15982742550497311) q[2]; cx q[1], q[2]; cx q[1], q[5]; rz(-0.15982742550497311) q[5]; cx q[1], q[5]; rz(-0.7744447103826921) q[1]; rx(-0.42018965464630986) q[1]; rz(0.9630455297040639) q[5]; rx(-0.42018965464630986) q[5]; cx q[6], q[4]; rz(0.10531842151091338) q[4]; cx q[6], q[4]; rz(0.4891930059834122) q[4]; rx(-0.0661317683158416) q[4]; rz(-0.3889941233568126) q[6]; rx(-0.06613176831584153) q[6]; cx q[3], q[6]; rz(-0.15982742550497311) q[6]; cx q[3], q[6]; cx q[2], q[6]; rz(-0.9131467726130182) q[3]; rx(-0.4201896546463098) q[3]; cx q[3], q[0]; rz(0.1277451781058455) q[0]; cx q[3], q[0]; rz(0.48919300598341087) q[0]; rx(-0.7590323716706038) q[0]; cx q[3], q[1]; rz(0.1277451781058455) q[1]; cx q[3], q[1]; cx q[3], q[5]; rz(0.1277451781058455) q[5]; cx q[3], q[5]; rz(-0.15982742550497311) q[6]; cx q[2], q[6]; rz(0.9630455297040639) q[2]; rx(-0.42018965464630986) q[2]; cx q[1], q[2]; rz(0.1277451781058455) q[2]; cx q[1], q[2]; cx q[1], q[5]; rz(0.1277451781058455) q[5]; cx q[1], q[5]; rz(-0.14226278003401394) q[1]; rx(-0.759032371670604) q[1]; rz(0.633226253737698) q[5]; rx(-0.7590323716706039) q[5]; cx q[6], q[4]; rz(-0.15982742550497311) q[4]; cx q[6], q[4]; rz(0.48919300598341087) q[4]; rx(-0.4201896546463098) q[4]; rz(-0.7744447103826921) q[6]; rx(-0.42018965464630986) q[6]; cx q[3], q[6]; rz(0.1277451781058455) q[6]; cx q[3], q[6]; cx q[2], q[6]; rz(0.12286825244091748) q[3]; rx(-0.7590323716706038) q[3]; cx q[3], q[0]; rz(0.024001887848409967) q[0]; cx q[3], q[0]; rz(0.48919300598341087) q[0]; rx(-0.3889941233568148) q[0]; cx q[3], q[1]; rz(0.024001887848409967) q[1]; cx q[3], q[1]; cx q[3], q[5]; rz(0.024001887848409967) q[5]; cx q[3], q[5]; rz(0.1277451781058455) q[6]; cx q[2], q[6]; rz(0.633226253737698) q[2]; rx(-0.7590323716706039) q[2]; cx q[1], q[2]; rz(0.024001887848409967) q[2]; cx q[1], q[2]; cx q[1], q[5]; rz(0.024001887848409967) q[5]; cx q[1], q[5]; rz(-0.3447205115832017) q[1]; rx(-0.3889941233568148) q[1]; rz(-0.2625340514626817) q[5]; rx(-0.38899412335681477) q[5]; cx q[6], q[4]; rz(0.1277451781058455) q[4]; cx q[6], q[4]; rz(0.48919300598341087) q[4]; rx(-0.7590323716706038) q[4]; rz(-0.14226278003401394) q[6]; rx(-0.759032371670604) q[6]; cx q[3], q[6]; rz(0.024001887848409967) q[6]; cx q[3], q[6]; cx q[2], q[6]; rz(-0.01668393580008498) q[3]; rx(-0.3889941233568148) q[3]; rz(0.024001887848409967) q[6]; cx q[2], q[6]; rz(-0.2625340514626817) q[2]; rx(-0.38899412335681477) q[2]; cx q[6], q[4]; rz(0.024001887848409967) q[4]; cx q[6], q[4]; rz(0.48919300598341087) q[4]; rx(-0.3889941233568148) q[4]; rz(-0.3447205115832017) q[6]; rx(-0.3889941233568148) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[0], q[1]; rz(x0) q[1]; cx q[0], q[1]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(x0) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[2], q[7]; rz(x0) q[7]; cx q[2], q[7]; cx q[4], q[7]; rz(x0) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; rz(x1) q[2]; rz(x2) q[0]; rz(x3) q[1]; rz(x4) q[3]; rz(x5) q[4]; rz(x6) q[5]; rz(x7) q[6]; rz(x8) q[7]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; h q[6]; rz(x9) q[6]; h q[6]; h q[7]; rz(x9) q[7]; h q[7]; cx q[2], q[0]; rz(x10) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(x10) q[1]; cx q[2], q[1]; cx q[0], q[1]; rz(x10) q[1]; cx q[0], q[1]; cx q[1], q[3]; rz(x10) q[3]; cx q[1], q[3]; cx q[1], q[4]; rz(x10) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x10) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x10) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x10) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x10) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(x10) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x10) q[6]; cx q[5], q[6]; cx q[2], q[7]; rz(x10) q[7]; cx q[2], q[7]; cx q[4], q[7]; rz(x10) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x10) q[7]; cx q[6], q[7]; rz(x11) q[2]; rz(x12) q[0]; rz(x13) q[1]; rz(x14) q[3]; rz(x15) q[4]; rz(x16) q[5]; rz(x17) q[6]; rz(x18) q[7]; h q[0]; rz(x19) q[0]; h q[0]; h q[1]; rz(x19) q[1]; h q[1]; h q[2]; rz(x19) q[2]; h q[2]; h q[3]; rz(x19) q[3]; h q[3]; h q[4]; rz(x19) q[4]; h q[4]; h q[5]; rz(x19) q[5]; h q[5]; h q[6]; rz(x19) q[6]; h q[6]; h q[7]; rz(x19) q[7]; h q[7]; cx q[2], q[0]; rz(x20) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(x20) q[1]; cx q[2], q[1]; cx q[0], q[1]; rz(x20) q[1]; cx q[0], q[1]; cx q[1], q[3]; rz(x20) q[3]; cx q[1], q[3]; cx q[1], q[4]; rz(x20) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x20) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x20) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x20) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x20) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(x20) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x20) q[6]; cx q[5], q[6]; cx q[2], q[7]; rz(x20) q[7]; cx q[2], q[7]; cx q[4], q[7]; rz(x20) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x20) q[7]; cx q[6], q[7]; rz(x21) q[2]; rz(x22) q[0]; rz(x23) q[1]; rz(x24) q[3]; rz(x25) q[4]; rz(x26) q[5]; rz(x27) q[6]; rz(x28) q[7]; h q[0]; rz(x29) q[0]; h q[0]; h q[1]; rz(x29) q[1]; h q[1]; h q[2]; rz(x29) q[2]; h q[2]; h q[3]; rz(x29) q[3]; h q[3]; h q[4]; rz(x29) q[4]; h q[4]; h q[5]; rz(x29) q[5]; h q[5]; h q[6]; rz(x29) q[6]; h q[6]; h q[7]; rz(x29) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"matching": "near_perfect", "extra": "{\"n\": 7}"}
{"circuits": [], "gradients": []}
[ "IIIIIZIZ", "IIIIIZZI", "IIIIIIZZ", "IIIIZIZI", "IIIZIIZI", "IIIZZIII", "IIZIIIZI", "IIZIZIII", "IIZZIIII", "IZIZIIII", "IZZIIIII", "ZIIIIZII", "ZIIZIIII", "ZZIIIIII", "IIIIIZII", "IIIIIIIZ", "IIIIIIZI", "IIIIZIII", "IIIZIIII", "IIZIIIII", "IZIIIIII", "ZIIIIIII" ]
[ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9.5, 0.5, 18.5, 5.5, 22, 15, 4.5, 13.5 ]
0.981939
[ 0.10531842151091338, -0.9612079782757411, 0.4891930059834108, -0.3889941233568148, 0.09888614070956181, -0.06613176831584158, -0.15982742550497311, -0.9131467726130178, -0.7744447103826919, 0.963045529704064, -0.42018965464630975, 0.1277451781058455, 0.12286825244091745, -0.142262780034014...
{ "n_parameters": 20, "n_qubits": 7, "optimal_eigenvalue": -4.5, "target_ratio": 0.97, "target_value": -4.365 }
44
ffad3b964ead217a06cbfc18be3f05e0
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 1, "target": 7}, {"weight": 2, "source": 2, "target": 3}, {"weight": 11, "source": 2, "target": 5}, {"weight": 13, "source": 2, "target": 4}, {"weight": 6, "source": 4, "target": 5}, {"weight": 1, "source": 6, "target": 7}]}
{"states": [397, 236], "expectation_value": -2.1048850995478925, "params": [[-0.023100000000000002], [0.0229]], "bitstrings": ["001110010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.002296754057086534, 0.0023943195979764798], "optimization_time": 4.003812551498413}
4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 7.5 * Z(0) + 14.0 * Z(2) + 5.5 * Z(3) + 5.5 * Z(4) + 11.0 * Z(5) + 10.0 * Z(6) + 3.0 * Z(7) + 0.5 * Z(8)
1
9
1
{"smallest_eigenvalues": [-70.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 121.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-1.0557124833227797e-08) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(-1.0557124833227797e-08) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-1.0557124833227797e-08) q[2]; cx q[0], q[2]; h q[3]; cx q[0], q[3]; rz(-1.0557124833227797e-08) q[3]; cx q[0], q[3]; rz(1.5707963617189824) q[0]; rx(1.570796323776294) q[0]; h q[4]; cx q[1], q[4]; rz(-1.0557124833227797e-08) q[4]; cx q[1], q[4]; rz(-1.5707963643738432) q[1]; rx(1.570796323776294) q[1]; h q[5]; cx q[4], q[5]; rz(-1.0557124833227797e-08) q[5]; cx q[4], q[5]; h q[6]; cx q[4], q[6]; rz(-1.0557124833227797e-08) q[6]; cx q[4], q[6]; rz(-1.5707963861865957) q[4]; rx(1.570796323776294) q[4]; cx q[5], q[6]; rz(-1.0557124833227797e-08) q[6]; cx q[5], q[6]; h q[7]; cx q[5], q[7]; rz(-1.0557124833227797e-08) q[7]; cx q[5], q[7]; rz(-1.5707962988092068) q[5]; rx(1.570796323776294) q[5]; cx q[6], q[7]; rz(-1.0557124833227797e-08) q[7]; cx q[6], q[7]; rz(-1.5707963643738432) q[6]; rx(1.570796323776294) q[6]; rz(1.5707963280107835) q[7]; rx(1.570796323776294) q[7]; h q[8]; cx q[2], q[8]; rz(-1.0557124833227797e-08) q[8]; cx q[2], q[8]; rz(-1.570796307281642) q[2]; rx(1.5707963237762939) q[2]; cx q[3], q[8]; rz(-1.0557124833227797e-08) q[8]; cx q[3], q[8]; rz(-1.5707963861865957) q[3]; rx(1.570796323776294) q[3]; rz(1.5707964018973435) q[8]; rx(1.570796323776294) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[4], q[6]; rz(x0) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x0) q[8]; cx q[2], q[8]; cx q[3], q[8]; rz(x0) q[8]; cx q[3], q[8]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x4) q[3]; rz(x4) q[4]; rz(x5) q[5]; rz(x1) q[6]; rz(x6) q[7]; rz(x7) q[8]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; h q[6]; rz(x8) q[6]; h q[6]; h q[7]; rz(x8) q[7]; h q[7]; h q[8]; rz(x8) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "maximum", "extra": "{\"n\": 8}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIIZZI", "IIIIIIZIZ", "IIIIIZIIZ", "IIIIZIIZI", "IIIZZIIII", "IIZIZIIII", "IIZZIIIII", "IZIZIIIII", "IZZIIIIII", "ZIIIIIZII", "ZIIIIZIII", "IIIIIIIZI", "IIIIIIIIZ", "IIIIIIZII", "IIIIIZIII", "IIIIZIIII", "IIIZIIIII", "IIZIIIIII", "IZIIIIIII", "ZIIIIIIII" ]
[ 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 10, 7.5, 14, 5.5, 5.5, 11, 10, 3, 0.5 ]
0.771429
[ -1.0557124833227797e-8, -1.5707963643738432, 1.5707963617189826, -1.570796307281642, -1.5707963861865957, -1.570796298809207, 1.570796328010783, 1.5707964018973435, 1.570796323776294 ]
{ "n_parameters": 9, "n_qubits": 9, "optimal_eigenvalue": -70, "target_ratio": 0.97, "target_value": -67.89999999999999 }
263
b426b8aff164c6823b185eb6b091738d
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]}
{"states": [35, 28], "expectation_value": -2.2563894198955015, "params": [[[1.5678, -0.2651], [0.9958, 1.1336000000000002], [1.576, -1.5435], [1.5746, -1.5757], [1.5695000000000001, 0.7583000000000001], [1.5691000000000002, -1.4753]]], "bitstrings": ["011100", "100011"], "total_optimization_steps": 210, "probabilities": [0.320968319420473, 0.4198607064140194], "optimization_time": 7.581836462020874}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3)
15
6
1
{"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; ry(3.146586182667847) q[0]; rz(-0.4960671937553839) q[0]; ry(-0.1292922814490114) q[1]; rz(-0.6985758714498361) q[1]; cz q[1], q[0]; ry(0.043070532367504924) q[1]; ry(-0.04475695876475132) q[2]; rz(0.6631600359423698) q[2]; ry(0.5756435583956447) q[3]; rz(-0.14283149628386937) q[3]; cz q[3], q[2]; rz(-1.0583422497727168) q[2]; cz q[2], q[1]; ry(2.467702949553314) q[3]; ry(0.09442180069266345) q[4]; rz(-0.4960671937553839) q[4]; ry(2.7246196860446945) q[5]; rz(0.021535266183752462) q[5]; cz q[5], q[4]; rz(1.6687368519398413) q[4]; cz q[4], q[3]; ry(0.4376501802689349) q[5]; ry(3.2207334379454498) q[6]; rz(-1.152313102082496) q[6]; cz q[6], q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; cx q[5], q[0]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x6) q[0]; ry(x7) q[1]; ry(x8) q[2]; ry(x9) q[3]; ry(x10) q[4]; ry(x11) q[5]; cx q[5], q[4]; cx q[0], q[5]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
null
{"circuits": [], "gradients": []}
[ "IIIIZZ", "IIIZIZ", "ZIIIZI", "IZIZII", "ZZIIII", "ZIZIII", "IZZIII", "IIIIZI", "IIIIIZ", "IIIZII", "ZIIIII", "IZIIII", "IIZIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -0.5, -0.5, -0.5, -1, -1, -0.5 ]
0.988667
[ 3.146586182667847, -0.4960671937553839, -0.1292922814490114, -0.6985758714498361, -0.04475695876475132, 0.6631600359423698, 0.5756435583956447, -0.14283149628386937, 0.09442180069266345, 2.7246196860446945, 0.021535266183752462, 3.2207334379454498, -1.152313102082496, -0.5291711248863585, ...
{ "n_parameters": 17, "n_qubits": 7, "optimal_eigenvalue": -3, "target_ratio": 0.97, "target_value": -2.91 }
27
dcc9b09a52c0b2b7dcb6687470059460
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target": 6}]}
{"states": [172, 173], "expectation_value": -3.439426309766524, "params": [1.8058, -0.0063, -0.0047, -0.06430000000000001, 1.8029000000000002, -0.0036000000000000003, 0.738, -0.002, 1.8025, -0.2954, 1.8005, 0.0034000000000000002, 0.4884, 0.5944, 1.8097, 0.0074, -1.7095, -0.0035, -1.7726000000000002, -0.7418, 0.5006, 1.3767, 0.5870000000000001], "bitstrings": ["01010011", "01010010"], "total_optimization_steps": 180, "probabilities": [0.068923562873086, 0.09012877374772135], "optimization_time": 6.438789129257202}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(2) + 0.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) + 0.0 * Z(7)
4
8
1
{"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["01010010"], "largest_eigenvalue": 9.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; rx(3.045800077397178) q[0]; rz(1.48114317174963) q[0]; rx(-0.06357362683342231) q[1]; rz(1.7570661794643296) q[1]; rx(2.7300338703575777) q[2]; rz(1.6530400970905017) q[2]; rx(1.0078112222549216) q[3]; rz(1.71031553049533) q[3]; rx(2.7027009210888213) q[4]; rz(1.8036060585152152) q[4]; rx(2.9001907397721665) q[5]; rz(1.183699281222819) q[5]; rx(0.009053408144946068) q[6]; rz(-3.1176979629855275) q[6]; rx(3.0902694681736023) q[7]; rz(-0.18898365723178978) q[7]; cx q[7], q[6]; ry(0.0795580083978633) q[6]; cx q[7], q[6]; ry(-0.0795580083978633) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(-0.28424947178103477) q[5]; cx q[6], q[5]; ry(0.28424947178103477) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(-0.27560367177701633) q[4]; cx q[5], q[4]; ry(0.27560367177701633) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(0.5484809808594966) q[3]; cx q[4], q[3]; ry(-0.5484809808594966) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(1.0417094360727068) q[2]; cx q[3], q[2]; ry(-1.0417094360727068) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(-0.009090261282570157) q[1]; cx q[2], q[1]; ry(0.009090261282570157) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(0.7359409094846351) q[0]; cx q[1], q[0]; ry(-0.7359409094846351) q[0]; rz(-pi/2) q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crx(x16) q[7], q[6]; crx(x17) q[6], q[5]; crx(x18) q[5], q[4]; crx(x19) q[4], q[3]; crx(x20) q[3], q[2]; crx(x21) q[2], q[1]; crx(x22) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
[ "IIIIIIZZ", "IZIIIIZI", "IZIIIIIZ", "IIIIIZZI", "IIZIIIZI", "IIIIZZII", "IZIZIIII", "IIIZZIII", "ZIIIZIII", "IIIIIIZI", "IIIIIIIZ", "IZIIIIII", "IIIIIZII", "IIZIIIII", "IIIIZIII", "IIIZIIII", "ZIIIIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1.5, -0.5, -1, -0.5, 0, -1, -0.5, 0 ]
0.979395
[ 3.045800077397178, -0.08965315504526661, -0.0635736268334223, 0.1862698526694327, 2.7300338703575777, 0.0822437702956052, 1.0078112222549216, 0.13951920370043314, 2.7027009210888213, 0.2328097317203184, 2.9001907397721665, -0.3870970455720777, 0.009053408144946068, 1.5946910173991626, 3....
{ "n_parameters": 23, "n_qubits": 8, "optimal_eigenvalue": -5.5, "target_ratio": 0.97, "target_value": -5.335 }
22
3c01ab65d1a16535fdf3b1017527aaee
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 1, "source": 3, "target": 2}, {"capacity": 2, "source": 4, "target": 6}, {"capacity": 2, "source": 5, "target": 2}, {"capacity": 2, "source": 5, "target": 6}, {"capacity": 2, "source": 5, "target": 7}, {"capacity": 2, "source": 6, "target": 3}, {"capacity": 2, "source": 7, "target": 2}, {"capacity": 1, "source": 7, "target": 5}, {"capacity": 1, "source": 7, "target": 8}]}
{"states": [0, 1], "expectation_value": -5.521202343636244, "params": [-0.0012000000000000001, -0.10650000000000001, 0.0014, -0.1359, -0.0006000000000000001, -0.1477, 0.0031000000000000003, -0.15810000000000002, 0.0027, -0.14600000000000002, 0.004200000000000001, -0.151, 0.005200000000000001, -0.1, 0.0021000000000000003, -0.1413, -0.029, -0.010100000000000001, -0.0221, 0.1282, -0.0006000000000000001, -0.149, 0.007, -0.1384, -0.0027, -0.1427, 0.0049, -0.14880000000000002, 0.0037, -0.1409, 0.0012000000000000001, -0.15560000000000002, 0.1996, 0.0843, 0.20020000000000002, 0.0408, -0.0022, -0.13490000000000002, -0.0039000000000000003, -0.1208, 0.004200000000000001, -0.1532, 0.0031000000000000003, -0.1522, -0.0026000000000000003, -0.154, 0.0033, -0.1527, 0.0043, -0.1479, 0.0005, -0.1487, -0.0217, 0.0678, 0.0103, 0.0609, 0.00030000000000000003, -0.1535, 0.005, -0.1449, 0.0036000000000000003, -0.1504, -0.00030000000000000003, -0.1552, 0.0022, -0.1588, 0.004200000000000001, -0.15610000000000002, 0.2056, 0.0849, 0.20140000000000002, 0.0502, -0.00030000000000000003, -0.12140000000000001, 0.0032, -0.12150000000000001, 0.008, -0.1529, 0.0043, -0.1505, 0.006200000000000001, -0.1574, 0.0051, -0.1512, 0.0031000000000000003, -0.1451, 0.0008, -0.13770000000000002, 0.0089, 0.0476, 0.1453, 0.019200000000000002, 0.006, -0.1459, 0.0036000000000000003, -0.1396, 0.0073, -0.14850000000000002, 0.0063, -0.1262, 0.0079, -0.151, -0.001, -0.157, 0.1993, 0.07680000000000001, 0.2058, 0.0398, -0.00030000000000000003, -0.10880000000000001, -0.003, 0.0008, -0.0004, -0.15510000000000002, 0.0015, 0.0036000000000000003, 0.0055000000000000005, -0.12380000000000001, -0.0022, 0.007200000000000001, 0.0057, -0.139, 0.005, 0.0009000000000000001, 0.1419, 0.0178, 0.1617, 0.0002, 0.0018000000000000002, -0.1441, 0.0025, 0.009300000000000001, 0.0005, -0.11950000000000001, -0.0009000000000000001, 0.0083, 0.0047, -0.15380000000000002, 0.0034000000000000002, 0.0099, 0.1991, 0.0758, 0.20750000000000002, 0.0064, 0.0439, 0.0296, 0.0183, 0.0322, 0.04, 0.0195, 0.0269, 0.0302, 0.16870000000000002, 0.0432, 0.0383, 0.023, 0.039, 0.0397, 0.0307, 0.0368, 0.038, 0.1688, 0.045200000000000004, 0.0378, 0.0235, 0.037000000000000005, 0.0345, 0.027200000000000002, 0.0303, 0.0363, 0.155, 0.040100000000000004, 0.0261, 0.0196, 0.0339, 0.0149, 0.0236, 0.0307, 0.029300000000000003, 0.07], "bitstrings": ["111111111", "111111110"], "total_optimization_steps": 20, "probabilities": [0.45752548836826024, 0.5028458897761977], "optimization_time": 55.93562388420105}
-0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(7) + 0.25 * Z(8)
5
9
4
{"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000000", "111111110", "111101110"], "largest_eigenvalue": 5.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; rx(-0.09647183539808978) q[0]; rz(0.012969763073826357) q[0]; rx(0.13224787220138887) q[1]; rz(-0.2204894045894079) q[1]; rx(0.11762480440877823) q[2]; rz(-0.28305630692413697) q[2]; rx(-0.17770753533360978) q[3]; rz(0.09791137727854604) q[3]; rx(0.014884824492929506) q[4]; rz(0.4287402944543781) q[4]; rx(0.13224787220138887) q[5]; rz(-0.03687659517221675) q[5]; rx(-0.11736341591321334) q[6]; rz(-0.36945159103666114) q[6]; rx(0.06774252424911469) q[7]; rz(-0.06683459734098829) q[7]; rx(0.4392621955012206) q[8]; rz(-0.09507120909337141) q[8]; cx q[8], q[7]; rz(0.06094518253206061) q[7]; cx q[8], q[7]; cx q[8], q[6]; rz(0.06184049963878083) q[6]; cx q[8], q[6]; cx q[8], q[5]; rz(-0.08216128650709063) q[5]; cx q[8], q[5]; cx q[8], q[4]; rz(-0.19435531729418126) q[4]; cx q[8], q[4]; cx q[8], q[3]; rz(-0.006610542150223692) q[3]; cx q[8], q[3]; cx q[8], q[2]; rz(0.09313144999534065) q[2]; cx q[8], q[2]; cx q[8], q[1]; rz(-0.057468759373548436) q[1]; cx q[8], q[1]; cx q[8], q[0]; rz(0.03833358982556655) q[0]; cx q[8], q[0]; rz(0.06727892973469118) q[8]; cx q[7], q[8]; rz(-0.06727892973469118) q[8]; cx q[7], q[8]; rz(-0.06184049963878083) q[6]; cx q[7], q[6]; rz(0.06184049963878083) q[6]; cx q[7], q[6]; rz(0.06727892973469118) q[8]; cx q[6], q[8]; rz(-0.06727892973469118) q[8]; cx q[6], q[8]; rz(0.08216128650709063) q[5]; cx q[7], q[5]; rz(-0.08216128650709063) q[5]; cx q[7], q[5]; rz(0.19435531729418126) q[4]; cx q[7], q[4]; rz(-0.19435531729418126) q[4]; cx q[7], q[4]; rz(0.006610542150223692) q[3]; cx q[7], q[3]; rz(-0.006610542150223692) q[3]; cx q[7], q[3]; rz(-0.09313144999534065) q[2]; cx q[7], q[2]; rz(0.09313144999534065) q[2]; cx q[7], q[2]; rz(0.057468759373548436) q[1]; cx q[7], q[1]; rz(-0.057468759373548436) q[1]; cx q[7], q[1]; rz(-0.03833358982556655) q[0]; cx q[7], q[0]; rz(0.03833358982556655) q[0]; cx q[7], q[0]; rz(-0.06094518253206061) q[7]; cx q[6], q[7]; rz(0.06094518253206061) q[7]; cx q[6], q[7]; rz(0.08216128650709063) q[5]; cx q[6], q[5]; rz(-0.08216128650709063) q[5]; cx q[6], q[5]; rz(0.06727892973469118) q[8]; cx q[5], q[8]; rz(-0.06727892973469118) q[8]; cx q[5], q[8]; rz(-0.06094518253206061) q[7]; cx q[5], q[7]; rz(0.06094518253206061) q[7]; cx q[5], q[7]; rz(0.19435531729418126) q[4]; cx q[6], q[4]; rz(-0.19435531729418126) q[4]; cx q[6], q[4]; rz(0.006610542150223692) q[3]; cx q[6], q[3]; rz(-0.006610542150223692) q[3]; cx q[6], q[3]; rz(-0.09313144999534065) q[2]; cx q[6], q[2]; rz(0.09313144999534065) q[2]; cx q[6], q[2]; rz(0.057468759373548436) q[1]; cx q[6], q[1]; rz(-0.057468759373548436) q[1]; cx q[6], q[1]; rz(-0.03833358982556655) q[0]; cx q[6], q[0]; rz(0.03833358982556655) q[0]; cx q[6], q[0]; rz(-0.06184049963878083) q[6]; cx q[5], q[6]; rz(0.06184049963878083) q[6]; cx q[5], q[6]; rz(0.19435531729418126) q[4]; cx q[5], q[4]; rz(-0.19435531729418126) q[4]; cx q[5], q[4]; rz(0.06727892973469118) q[8]; cx q[4], q[8]; rz(-0.06727892973469118) q[8]; cx q[4], q[8]; rz(-0.06094518253206061) q[7]; cx q[4], q[7]; rz(0.06094518253206061) q[7]; cx q[4], q[7]; rz(-0.06184049963878083) q[6]; cx q[4], q[6]; rz(0.06184049963878083) q[6]; cx q[4], q[6]; rz(0.006610542150223692) q[3]; cx q[5], q[3]; rz(-0.006610542150223692) q[3]; cx q[5], q[3]; rz(-0.09313144999534065) q[2]; cx q[5], q[2]; rz(0.09313144999534065) q[2]; cx q[5], q[2]; rz(0.057468759373548436) q[1]; cx q[5], q[1]; rz(-0.057468759373548436) q[1]; cx q[5], q[1]; rz(-0.03833358982556655) q[0]; cx q[5], q[0]; rz(0.03833358982556655) q[0]; cx q[5], q[0]; rz(0.08216128650709063) q[5]; cx q[4], q[5]; rz(-0.08216128650709063) q[5]; cx q[4], q[5]; rz(0.006610542150223692) q[3]; cx q[4], q[3]; rz(-0.006610542150223692) q[3]; cx q[4], q[3]; rz(0.06727892973469118) q[8]; cx q[3], q[8]; rz(-0.06727892973469118) q[8]; cx q[3], q[8]; rz(-0.06094518253206061) q[7]; cx q[3], q[7]; rz(0.06094518253206061) q[7]; cx q[3], q[7]; rz(-0.06184049963878083) q[6]; cx q[3], q[6]; rz(0.06184049963878083) q[6]; cx q[3], q[6]; rz(0.08216128650709063) q[5]; cx q[3], q[5]; rz(-0.08216128650709063) q[5]; cx q[3], q[5]; rz(-0.09313144999534065) q[2]; cx q[4], q[2]; rz(0.09313144999534065) q[2]; cx q[4], q[2]; rz(0.057468759373548436) q[1]; cx q[4], q[1]; rz(-0.057468759373548436) q[1]; cx q[4], q[1]; rz(-0.03833358982556655) q[0]; cx q[4], q[0]; rz(0.03833358982556655) q[0]; cx q[4], q[0]; rz(0.19435531729418126) q[4]; cx q[3], q[4]; rz(-0.19435531729418126) q[4]; cx q[3], q[4]; rz(-0.09313144999534065) q[2]; cx q[3], q[2]; rz(0.09313144999534065) q[2]; cx q[3], q[2]; rz(0.06727892973469118) q[8]; cx q[2], q[8]; rz(-0.06727892973469118) q[8]; cx q[2], q[8]; rz(-0.06094518253206061) q[7]; cx q[2], q[7]; rz(0.06094518253206061) q[7]; cx q[2], q[7]; rz(-0.06184049963878083) q[6]; cx q[2], q[6]; rz(0.06184049963878083) q[6]; cx q[2], q[6]; rz(0.08216128650709063) q[5]; cx q[2], q[5]; rz(-0.08216128650709063) q[5]; cx q[2], q[5]; rz(0.19435531729418126) q[4]; cx q[2], q[4]; rz(-0.19435531729418126) q[4]; cx q[2], q[4]; rz(0.057468759373548436) q[1]; cx q[3], q[1]; rz(-0.057468759373548436) q[1]; cx q[3], q[1]; rz(-0.03833358982556655) q[0]; cx q[3], q[0]; rz(0.03833358982556655) q[0]; cx q[3], q[0]; rz(0.006610542150223692) q[3]; cx q[2], q[3]; rz(-0.006610542150223692) q[3]; cx q[2], q[3]; rz(0.057468759373548436) q[1]; cx q[2], q[1]; rz(-0.057468759373548436) q[1]; cx q[2], q[1]; rz(0.06727892973469118) q[8]; cx q[1], q[8]; rz(-0.06727892973469118) q[8]; cx q[1], q[8]; rz(-0.06094518253206061) q[7]; cx q[1], q[7]; rz(0.06094518253206061) q[7]; cx q[1], q[7]; rz(-0.06184049963878083) q[6]; cx q[1], q[6]; rz(0.06184049963878083) q[6]; cx q[1], q[6]; rz(0.08216128650709063) q[5]; cx q[1], q[5]; rz(-0.08216128650709063) q[5]; cx q[1], q[5]; rz(0.19435531729418126) q[4]; cx q[1], q[4]; rz(-0.19435531729418126) q[4]; cx q[1], q[4]; rz(0.006610542150223692) q[3]; cx q[1], q[3]; rz(-0.006610542150223692) q[3]; cx q[1], q[3]; rz(-0.03833358982556655) q[0]; cx q[2], q[0]; rz(0.03833358982556655) q[0]; cx q[2], q[0]; rz(-0.09313144999534065) q[2]; cx q[1], q[2]; rz(0.09313144999534065) q[2]; cx q[1], q[2]; rz(-0.03833358982556655) q[0]; cx q[1], q[0]; rz(0.03833358982556655) q[0]; cx q[1], q[0]; rz(0.06727892973469118) q[8]; cx q[0], q[8]; rz(-0.06727892973469118) q[8]; cx q[0], q[8]; rz(-0.06094518253206061) q[7]; cx q[0], q[7]; rz(0.06094518253206061) q[7]; cx q[0], q[7]; rz(-0.06184049963878083) q[6]; cx q[0], q[6]; rz(0.06184049963878083) q[6]; cx q[0], q[6]; rz(0.08216128650709063) q[5]; cx q[0], q[5]; rz(-0.08216128650709063) q[5]; cx q[0], q[5]; rz(0.19435531729418126) q[4]; cx q[0], q[4]; rz(-0.19435531729418126) q[4]; cx q[0], q[4]; rz(0.006610542150223692) q[3]; cx q[0], q[3]; rz(-0.006610542150223692) q[3]; cx q[0], q[3]; rz(-0.09313144999534065) q[2]; cx q[0], q[2]; rz(0.09313144999534065) q[2]; cx q[0], q[2]; rz(0.057468759373548436) q[1]; cx q[0], q[1]; rz(-0.057468759373548436) q[1]; cx q[0], q[1]; rz(-1.4144316519847677) q[0]; ry(0.008095860932544701) q[0]; rz(1.1109602663281306) q[0]; rz(-1.607497610722113) q[1]; ry(0.012696606723150787) q[1]; rz(1.7932423140067808) q[1]; rz(1.4751611250603798) q[2]; ry(0.03735038288998334) q[2]; rz(-1.8280283333400653) q[2]; rz(1.493468390829709) q[3]; ry(0.0848153431554943) q[3]; rz(-1.7149217324081678) q[3]; rz(1.602271144751378) q[4]; ry(0.07855879788056123) q[4]; rz(-1.4293846676839574) q[4]; rz(-1.5505068120737133) q[5]; ry(0.25642764010777536) q[5]; rz(1.2982559557381297) q[5]; rz(1.570957904330438) q[6]; ry(0.12295563523387038) q[6]; rz(-1.8063755934365113) q[6]; rz(-2.0312536202225133) q[7]; ry(0.06954721191425008) q[7]; rz(1.7666433277516047) q[7]; rz(1.5442367550436833) q[8]; ry(0.6954427628849663) q[8]; rz(-1.2804756899524214) q[8]; cx q[8], q[7]; rz(-0.05126803838248808) q[7]; cx q[8], q[7]; cx q[8], q[6]; rz(-0.0364379889278702) q[6]; cx q[8], q[6]; cx q[8], q[5]; rz(0.00527898498725134) q[5]; cx q[8], q[5]; cx q[8], q[4]; rz(0.04601963459332582) q[4]; cx q[8], q[4]; cx q[8], q[3]; rz(-0.020447932555258185) q[3]; cx q[8], q[3]; cx q[8], q[2]; rz(-0.09412067350852336) q[2]; cx q[8], q[2]; cx q[8], q[1]; rz(-0.13047102637041302) q[1]; cx q[8], q[1]; cx q[8], q[0]; rz(-0.015085736183274672) q[0]; cx q[8], q[0]; rz(0.06582325985493424) q[8]; cx q[7], q[8]; rz(-0.06582325985493424) q[8]; cx q[7], q[8]; rz(0.0364379889278702) q[6]; cx q[7], q[6]; rz(-0.0364379889278702) q[6]; cx q[7], q[6]; rz(0.06582325985493424) q[8]; cx q[6], q[8]; rz(-0.06582325985493424) q[8]; cx q[6], q[8]; rz(-0.00527898498725134) q[5]; cx q[7], q[5]; rz(0.00527898498725134) q[5]; cx q[7], q[5]; rz(-0.04601963459332582) q[4]; cx q[7], q[4]; rz(0.04601963459332582) q[4]; cx q[7], q[4]; rz(0.020447932555258185) q[3]; cx q[7], q[3]; rz(-0.020447932555258185) q[3]; cx q[7], q[3]; rz(0.09412067350852336) q[2]; cx q[7], q[2]; rz(-0.09412067350852336) q[2]; cx q[7], q[2]; rz(0.13047102637041302) q[1]; cx q[7], q[1]; rz(-0.13047102637041302) q[1]; cx q[7], q[1]; rz(0.015085736183274672) q[0]; cx q[7], q[0]; rz(-0.015085736183274672) q[0]; cx q[7], q[0]; rz(0.05126803838248808) q[7]; cx q[6], q[7]; rz(-0.05126803838248808) q[7]; cx q[6], q[7]; rz(-0.00527898498725134) q[5]; cx q[6], q[5]; rz(0.00527898498725134) q[5]; cx q[6], q[5]; rz(0.06582325985493424) q[8]; cx q[5], q[8]; rz(-0.06582325985493424) q[8]; cx q[5], q[8]; rz(0.05126803838248808) q[7]; cx q[5], q[7]; rz(-0.05126803838248808) q[7]; cx q[5], q[7]; rz(-0.04601963459332582) q[4]; cx q[6], q[4]; rz(0.04601963459332582) q[4]; cx q[6], q[4]; rz(0.020447932555258185) q[3]; cx q[6], q[3]; rz(-0.020447932555258185) q[3]; cx q[6], q[3]; rz(0.09412067350852336) q[2]; cx q[6], q[2]; rz(-0.09412067350852336) q[2]; cx q[6], q[2]; rz(0.13047102637041302) q[1]; cx q[6], q[1]; rz(-0.13047102637041302) q[1]; cx q[6], q[1]; rz(0.015085736183274672) q[0]; cx q[6], q[0]; rz(-0.015085736183274672) q[0]; cx q[6], q[0]; rz(0.0364379889278702) q[6]; cx q[5], q[6]; rz(-0.0364379889278702) q[6]; cx q[5], q[6]; rz(-0.04601963459332582) q[4]; cx q[5], q[4]; rz(0.04601963459332582) q[4]; cx q[5], q[4]; rz(0.06582325985493424) q[8]; cx q[4], q[8]; rz(-0.06582325985493424) q[8]; cx q[4], q[8]; rz(0.05126803838248808) q[7]; cx q[4], q[7]; rz(-0.05126803838248808) q[7]; cx q[4], q[7]; rz(0.0364379889278702) q[6]; cx q[4], q[6]; rz(-0.0364379889278702) q[6]; cx q[4], q[6]; rz(0.020447932555258185) q[3]; cx q[5], q[3]; rz(-0.020447932555258185) q[3]; cx q[5], q[3]; rz(0.09412067350852336) q[2]; cx q[5], q[2]; rz(-0.09412067350852336) q[2]; cx q[5], q[2]; rz(0.13047102637041302) q[1]; cx q[5], q[1]; rz(-0.13047102637041302) q[1]; cx q[5], q[1]; rz(0.015085736183274672) q[0]; cx q[5], q[0]; rz(-0.015085736183274672) q[0]; cx q[5], q[0]; rz(-0.00527898498725134) q[5]; cx q[4], q[5]; rz(0.00527898498725134) q[5]; cx q[4], q[5]; rz(0.020447932555258185) q[3]; cx q[4], q[3]; rz(-0.020447932555258185) q[3]; cx q[4], q[3]; rz(0.06582325985493424) q[8]; cx q[3], q[8]; rz(-0.06582325985493424) q[8]; cx q[3], q[8]; rz(0.05126803838248808) q[7]; cx q[3], q[7]; rz(-0.05126803838248808) q[7]; cx q[3], q[7]; rz(0.0364379889278702) q[6]; cx q[3], q[6]; rz(-0.0364379889278702) q[6]; cx q[3], q[6]; rz(-0.00527898498725134) q[5]; cx q[3], q[5]; rz(0.00527898498725134) q[5]; cx q[3], q[5]; rz(0.09412067350852336) q[2]; cx q[4], q[2]; rz(-0.09412067350852336) q[2]; cx q[4], q[2]; rz(0.13047102637041302) q[1]; cx q[4], q[1]; rz(-0.13047102637041302) q[1]; cx q[4], q[1]; rz(0.015085736183274672) q[0]; cx q[4], q[0]; rz(-0.015085736183274672) q[0]; cx q[4], q[0]; rz(-0.04601963459332582) q[4]; cx q[3], q[4]; rz(0.04601963459332582) q[4]; cx q[3], q[4]; rz(0.09412067350852336) q[2]; cx q[3], q[2]; rz(-0.09412067350852336) q[2]; cx q[3], q[2]; rz(0.06582325985493424) q[8]; cx q[2], q[8]; rz(-0.06582325985493424) q[8]; cx q[2], q[8]; rz(0.05126803838248808) q[7]; cx q[2], q[7]; rz(-0.05126803838248808) q[7]; cx q[2], q[7]; rz(0.0364379889278702) q[6]; cx q[2], q[6]; rz(-0.0364379889278702) q[6]; cx q[2], q[6]; rz(-0.00527898498725134) q[5]; cx q[2], q[5]; rz(0.00527898498725134) q[5]; cx q[2], q[5]; rz(-0.04601963459332582) q[4]; cx q[2], q[4]; rz(0.04601963459332582) q[4]; cx q[2], q[4]; rz(0.13047102637041302) q[1]; cx q[3], q[1]; rz(-0.13047102637041302) q[1]; cx q[3], q[1]; rz(0.015085736183274672) q[0]; cx q[3], q[0]; rz(-0.015085736183274672) q[0]; cx q[3], q[0]; rz(0.020447932555258185) q[3]; cx q[2], q[3]; rz(-0.020447932555258185) q[3]; cx q[2], q[3]; rz(0.13047102637041302) q[1]; cx q[2], q[1]; rz(-0.13047102637041302) q[1]; cx q[2], q[1]; rz(0.06582325985493424) q[8]; cx q[1], q[8]; rz(-0.06582325985493424) q[8]; cx q[1], q[8]; rz(0.05126803838248808) q[7]; cx q[1], q[7]; rz(-0.05126803838248808) q[7]; cx q[1], q[7]; rz(0.0364379889278702) q[6]; cx q[1], q[6]; rz(-0.0364379889278702) q[6]; cx q[1], q[6]; rz(-0.00527898498725134) q[5]; cx q[1], q[5]; rz(0.00527898498725134) q[5]; cx q[1], q[5]; rz(-0.04601963459332582) q[4]; cx q[1], q[4]; rz(0.04601963459332582) q[4]; cx q[1], q[4]; rz(0.020447932555258185) q[3]; cx q[1], q[3]; rz(-0.020447932555258185) q[3]; cx q[1], q[3]; rz(0.015085736183274672) q[0]; cx q[2], q[0]; rz(-0.015085736183274672) q[0]; cx q[2], q[0]; rz(0.09412067350852336) q[2]; cx q[1], q[2]; rz(-0.09412067350852336) q[2]; cx q[1], q[2]; rz(0.015085736183274672) q[0]; cx q[1], q[0]; rz(-0.015085736183274672) q[0]; cx q[1], q[0]; rz(0.06582325985493424) q[8]; cx q[0], q[8]; rz(-0.06582325985493424) q[8]; cx q[0], q[8]; rz(0.05126803838248808) q[7]; cx q[0], q[7]; rz(-0.05126803838248808) q[7]; cx q[0], q[7]; rz(0.0364379889278702) q[6]; cx q[0], q[6]; rz(-0.0364379889278702) q[6]; cx q[0], q[6]; rz(-0.00527898498725134) q[5]; cx q[0], q[5]; rz(0.00527898498725134) q[5]; cx q[0], q[5]; rz(-0.04601963459332582) q[4]; cx q[0], q[4]; rz(0.04601963459332582) q[4]; cx q[0], q[4]; rz(0.020447932555258185) q[3]; cx q[0], q[3]; rz(-0.020447932555258185) q[3]; cx q[0], q[3]; rz(0.09412067350852336) q[2]; cx q[0], q[2]; rz(-0.09412067350852336) q[2]; cx q[0], q[2]; rz(0.13047102637041302) q[1]; cx q[0], q[1]; rz(-0.13047102637041302) q[1]; cx q[0], q[1]; rz(1.1922464080776471) q[0]; ry(0.0436674331483131) q[0]; rz(-1.3434480845990922) q[0]; rz(-1.6869587716254035) q[1]; ry(0.11093589344087057) q[1]; rz(1.4311630655339291) q[1]; rz(-1.5018431017816296) q[2]; ry(0.12122326686157045) q[2]; rz(0.9121377001173796) q[2]; rz(-1.6053172133344618) q[3]; ry(0.14241469264973367) q[3]; rz(1.272565187218098) q[3]; rz(1.5814767080440646) q[4]; ry(0.3916737405693276) q[4]; rz(-1.6238600353841273) q[4]; rz(1.6033971562265927) q[5]; ry(0.08682566161618678) q[5]; rz(-2.2081510285727113) q[5]; rz(1.4806933868394863) q[6]; ry(0.2766098673436695) q[6]; rz(-1.6278701614258433) q[6]; rz(1.3376815586238626) q[7]; ry(0.03591806101390712) q[7]; rz(-1.6538985562607136) q[7]; rz(1.5220825712507438) q[8]; ry(0.7430441370345358) q[8]; rz(-1.4249354636676221) q[8]; cx q[8], q[7]; rz(-0.05926703187934704) q[7]; cx q[8], q[7]; cx q[8], q[6]; rz(-0.021961716006586026) q[6]; cx q[8], q[6]; cx q[8], q[5]; rz(-0.07978403232072828) q[5]; cx q[8], q[5]; cx q[8], q[4]; rz(-0.04979391276581565) q[4]; cx q[8], q[4]; cx q[8], q[3]; rz(0.003441672259004304) q[3]; cx q[8], q[3]; cx q[8], q[2]; rz(0.024247941069878178) q[2]; cx q[8], q[2]; cx q[8], q[1]; rz(0.04088092033814628) q[1]; cx q[8], q[1]; cx q[8], q[0]; rz(-0.14524367687790984) q[0]; cx q[8], q[0]; rz(0.21738719674203177) q[8]; cx q[7], q[8]; rz(-0.21738719674203177) q[8]; cx q[7], q[8]; rz(0.021961716006586026) q[6]; cx q[7], q[6]; rz(-0.021961716006586026) q[6]; cx q[7], q[6]; rz(0.21738719674203177) q[8]; cx q[6], q[8]; rz(-0.21738719674203177) q[8]; cx q[6], q[8]; rz(0.07978403232072828) q[5]; cx q[7], q[5]; rz(-0.07978403232072828) q[5]; cx q[7], q[5]; rz(0.04979391276581565) q[4]; cx q[7], q[4]; rz(-0.04979391276581565) q[4]; cx q[7], q[4]; rz(-0.003441672259004304) q[3]; cx q[7], q[3]; rz(0.003441672259004304) q[3]; cx q[7], q[3]; rz(-0.024247941069878178) q[2]; cx q[7], q[2]; rz(0.024247941069878178) q[2]; cx q[7], q[2]; rz(-0.04088092033814628) q[1]; cx q[7], q[1]; rz(0.04088092033814628) q[1]; cx q[7], q[1]; rz(0.14524367687790984) q[0]; cx q[7], q[0]; rz(-0.14524367687790984) q[0]; cx q[7], q[0]; rz(0.05926703187934704) q[7]; cx q[6], q[7]; rz(-0.05926703187934704) q[7]; cx q[6], q[7]; rz(0.07978403232072828) q[5]; cx q[6], q[5]; rz(-0.07978403232072828) q[5]; cx q[6], q[5]; rz(0.21738719674203177) q[8]; cx q[5], q[8]; rz(-0.21738719674203177) q[8]; cx q[5], q[8]; rz(0.05926703187934704) q[7]; cx q[5], q[7]; rz(-0.05926703187934704) q[7]; cx q[5], q[7]; rz(0.04979391276581565) q[4]; cx q[6], q[4]; rz(-0.04979391276581565) q[4]; cx q[6], q[4]; rz(-0.003441672259004304) q[3]; cx q[6], q[3]; rz(0.003441672259004304) q[3]; cx q[6], q[3]; rz(-0.024247941069878178) q[2]; cx q[6], q[2]; rz(0.024247941069878178) q[2]; cx q[6], q[2]; rz(-0.04088092033814628) q[1]; cx q[6], q[1]; rz(0.04088092033814628) q[1]; cx q[6], q[1]; rz(0.14524367687790984) q[0]; cx q[6], q[0]; rz(-0.14524367687790984) q[0]; cx q[6], q[0]; rz(0.021961716006586026) q[6]; cx q[5], q[6]; rz(-0.021961716006586026) q[6]; cx q[5], q[6]; rz(0.04979391276581565) q[4]; cx q[5], q[4]; rz(-0.04979391276581565) q[4]; cx q[5], q[4]; rz(0.21738719674203177) q[8]; cx q[4], q[8]; rz(-0.21738719674203177) q[8]; cx q[4], q[8]; rz(0.05926703187934704) q[7]; cx q[4], q[7]; rz(-0.05926703187934704) q[7]; cx q[4], q[7]; rz(0.021961716006586026) q[6]; cx q[4], q[6]; rz(-0.021961716006586026) q[6]; cx q[4], q[6]; rz(-0.003441672259004304) q[3]; cx q[5], q[3]; rz(0.003441672259004304) q[3]; cx q[5], q[3]; rz(-0.024247941069878178) q[2]; cx q[5], q[2]; rz(0.024247941069878178) q[2]; cx q[5], q[2]; rz(-0.04088092033814628) q[1]; cx q[5], q[1]; rz(0.04088092033814628) q[1]; cx q[5], q[1]; rz(0.14524367687790984) q[0]; cx q[5], q[0]; rz(-0.14524367687790984) q[0]; cx q[5], q[0]; rz(0.07978403232072828) q[5]; cx q[4], q[5]; rz(-0.07978403232072828) q[5]; cx q[4], q[5]; rz(-0.003441672259004304) q[3]; cx q[4], q[3]; rz(0.003441672259004304) q[3]; cx q[4], q[3]; rz(0.21738719674203177) q[8]; cx q[3], q[8]; rz(-0.21738719674203177) q[8]; cx q[3], q[8]; rz(0.05926703187934704) q[7]; cx q[3], q[7]; rz(-0.05926703187934704) q[7]; cx q[3], q[7]; rz(0.021961716006586026) q[6]; cx q[3], q[6]; rz(-0.021961716006586026) q[6]; cx q[3], q[6]; rz(0.07978403232072828) q[5]; cx q[3], q[5]; rz(-0.07978403232072828) q[5]; cx q[3], q[5]; rz(-0.024247941069878178) q[2]; cx q[4], q[2]; rz(0.024247941069878178) q[2]; cx q[4], q[2]; rz(-0.04088092033814628) q[1]; cx q[4], q[1]; rz(0.04088092033814628) q[1]; cx q[4], q[1]; rz(0.14524367687790984) q[0]; cx q[4], q[0]; rz(-0.14524367687790984) q[0]; cx q[4], q[0]; rz(0.04979391276581565) q[4]; cx q[3], q[4]; rz(-0.04979391276581565) q[4]; cx q[3], q[4]; rz(-0.024247941069878178) q[2]; cx q[3], q[2]; rz(0.024247941069878178) q[2]; cx q[3], q[2]; rz(0.21738719674203177) q[8]; cx q[2], q[8]; rz(-0.21738719674203177) q[8]; cx q[2], q[8]; rz(0.05926703187934704) q[7]; cx q[2], q[7]; rz(-0.05926703187934704) q[7]; cx q[2], q[7]; rz(0.021961716006586026) q[6]; cx q[2], q[6]; rz(-0.021961716006586026) q[6]; cx q[2], q[6]; rz(0.07978403232072828) q[5]; cx q[2], q[5]; rz(-0.07978403232072828) q[5]; cx q[2], q[5]; rz(0.04979391276581565) q[4]; cx q[2], q[4]; rz(-0.04979391276581565) q[4]; cx q[2], q[4]; rz(-0.04088092033814628) q[1]; cx q[3], q[1]; rz(0.04088092033814628) q[1]; cx q[3], q[1]; rz(0.14524367687790984) q[0]; cx q[3], q[0]; rz(-0.14524367687790984) q[0]; cx q[3], q[0]; rz(-0.003441672259004304) q[3]; cx q[2], q[3]; rz(0.003441672259004304) q[3]; cx q[2], q[3]; rz(-0.04088092033814628) q[1]; cx q[2], q[1]; rz(0.04088092033814628) q[1]; cx q[2], q[1]; rz(0.21738719674203177) q[8]; cx q[1], q[8]; rz(-0.21738719674203177) q[8]; cx q[1], q[8]; rz(0.05926703187934704) q[7]; cx q[1], q[7]; rz(-0.05926703187934704) q[7]; cx q[1], q[7]; rz(0.021961716006586026) q[6]; cx q[1], q[6]; rz(-0.021961716006586026) q[6]; cx q[1], q[6]; rz(0.07978403232072828) q[5]; cx q[1], q[5]; rz(-0.07978403232072828) q[5]; cx q[1], q[5]; rz(0.04979391276581565) q[4]; cx q[1], q[4]; rz(-0.04979391276581565) q[4]; cx q[1], q[4]; rz(-0.003441672259004304) q[3]; cx q[1], q[3]; rz(0.003441672259004304) q[3]; cx q[1], q[3]; rz(0.14524367687790984) q[0]; cx q[2], q[0]; rz(-0.14524367687790984) q[0]; cx q[2], q[0]; rz(-0.024247941069878178) q[2]; cx q[1], q[2]; rz(0.024247941069878178) q[2]; cx q[1], q[2]; rz(0.14524367687790984) q[0]; cx q[1], q[0]; rz(-0.14524367687790984) q[0]; cx q[1], q[0]; rz(0.21738719674203177) q[8]; cx q[0], q[8]; rz(-0.21738719674203177) q[8]; cx q[0], q[8]; rz(0.05926703187934704) q[7]; cx q[0], q[7]; rz(-0.05926703187934704) q[7]; cx q[0], q[7]; rz(0.021961716006586026) q[6]; cx q[0], q[6]; rz(-0.021961716006586026) q[6]; cx q[0], q[6]; rz(0.07978403232072828) q[5]; cx q[0], q[5]; rz(-0.07978403232072828) q[5]; cx q[0], q[5]; rz(0.04979391276581565) q[4]; cx q[0], q[4]; rz(-0.04979391276581565) q[4]; cx q[0], q[4]; rz(-0.003441672259004304) q[3]; cx q[0], q[3]; rz(0.003441672259004304) q[3]; cx q[0], q[3]; rz(-0.024247941069878178) q[2]; cx q[0], q[2]; rz(0.024247941069878178) q[2]; cx q[0], q[2]; rz(-0.04088092033814628) q[1]; cx q[0], q[1]; rz(0.04088092033814628) q[1]; cx q[0], q[1]; rz(1.479749344520238) q[0]; ry(0.15146077036066216) q[0]; rz(-1.8118150614911481) q[0]; rz(1.5427111163055685) q[1]; ry(0.21477075952426766) q[1]; rz(-2.009129988243325) q[1]; rz(1.3834408263080933) q[2]; ry(0.16557762276041596) q[2]; rz(-2.0171730278645907) q[2]; rz(-1.5450701153776145) q[3]; ry(0.04121369755172532) q[3]; rz(1.5864734859578942) q[3]; rz(1.5606376130369126) q[4]; ry(0.33755398184612984) q[4]; rz(-1.5547137696280418) q[4]; rz(-1.6048970654474821) q[5]; ry(0.057275300963167124) q[5]; rz(1.4803935633908347) q[5]; rz(-1.5476734090708661) q[6]; ry(0.08109012386087791) q[6]; rz(1.6323904464817875) q[6]; rz(1.5533955373500508) q[7]; ry(0.12566075563239526) q[7]; rz(-2.125772889001866) q[7]; rz(1.6154095347518798) q[8]; ry(0.5786168970937353) q[8]; rz(-1.5912254174999154) q[8]; cx q[8], q[7]; rz(-0.026848428051036162) q[7]; cx q[8], q[7]; cx q[8], q[6]; rz(0.00527898498725134) q[6]; cx q[8], q[6]; cx q[8], q[5]; rz(-0.05287973466200147) q[5]; cx q[8], q[5]; cx q[8], q[4]; rz(-0.013696347468581976) q[4]; cx q[8], q[4]; cx q[8], q[3]; rz(-0.060779759962936025) q[3]; cx q[8], q[3]; cx q[8], q[2]; rz(0.013366770521226253) q[2]; cx q[8], q[2]; cx q[8], q[1]; rz(-0.007522836972554615) q[1]; cx q[8], q[1]; cx q[8], q[0]; rz(0.06639005480099258) q[0]; cx q[8], q[0]; rz(-0.006296628642059654) q[8]; cx q[7], q[8]; rz(0.006296628642059654) q[8]; cx q[7], q[8]; rz(-0.00527898498725134) q[6]; cx q[7], q[6]; rz(0.00527898498725134) q[6]; cx q[7], q[6]; rz(-0.006296628642059654) q[8]; cx q[6], q[8]; rz(0.006296628642059654) q[8]; cx q[6], q[8]; rz(0.05287973466200147) q[5]; cx q[7], q[5]; rz(-0.05287973466200147) q[5]; cx q[7], q[5]; rz(0.013696347468581976) q[4]; cx q[7], q[4]; rz(-0.013696347468581976) q[4]; cx q[7], q[4]; rz(0.060779759962936025) q[3]; cx q[7], q[3]; rz(-0.060779759962936025) q[3]; cx q[7], q[3]; rz(-0.013366770521226253) q[2]; cx q[7], q[2]; rz(0.013366770521226253) q[2]; cx q[7], q[2]; rz(0.007522836972554615) q[1]; cx q[7], q[1]; rz(-0.007522836972554615) q[1]; cx q[7], q[1]; rz(-0.06639005480099258) q[0]; cx q[7], q[0]; rz(0.06639005480099258) q[0]; cx q[7], q[0]; rz(0.026848428051036162) q[7]; cx q[6], q[7]; rz(-0.026848428051036162) q[7]; cx q[6], q[7]; rz(0.05287973466200147) q[5]; cx q[6], q[5]; rz(-0.05287973466200147) q[5]; cx q[6], q[5]; rz(-0.006296628642059654) q[8]; cx q[5], q[8]; rz(0.006296628642059654) q[8]; cx q[5], q[8]; rz(0.026848428051036162) q[7]; cx q[5], q[7]; rz(-0.026848428051036162) q[7]; cx q[5], q[7]; rz(0.013696347468581976) q[4]; cx q[6], q[4]; rz(-0.013696347468581976) q[4]; cx q[6], q[4]; rz(0.060779759962936025) q[3]; cx q[6], q[3]; rz(-0.060779759962936025) q[3]; cx q[6], q[3]; rz(-0.013366770521226253) q[2]; cx q[6], q[2]; rz(0.013366770521226253) q[2]; cx q[6], q[2]; rz(0.007522836972554615) q[1]; cx q[6], q[1]; rz(-0.007522836972554615) q[1]; cx q[6], q[1]; rz(-0.06639005480099258) q[0]; cx q[6], q[0]; rz(0.06639005480099258) q[0]; cx q[6], q[0]; rz(-0.00527898498725134) q[6]; cx q[5], q[6]; rz(0.00527898498725134) q[6]; cx q[5], q[6]; rz(0.013696347468581976) q[4]; cx q[5], q[4]; rz(-0.013696347468581976) q[4]; cx q[5], q[4]; rz(-0.006296628642059654) q[8]; cx q[4], q[8]; rz(0.006296628642059654) q[8]; cx q[4], q[8]; rz(0.026848428051036162) q[7]; cx q[4], q[7]; rz(-0.026848428051036162) q[7]; cx q[4], q[7]; rz(-0.00527898498725134) q[6]; cx q[4], q[6]; rz(0.00527898498725134) q[6]; cx q[4], q[6]; rz(0.060779759962936025) q[3]; cx q[5], q[3]; rz(-0.060779759962936025) q[3]; cx q[5], q[3]; rz(-0.013366770521226253) q[2]; cx q[5], q[2]; rz(0.013366770521226253) q[2]; cx q[5], q[2]; rz(0.007522836972554615) q[1]; cx q[5], q[1]; rz(-0.007522836972554615) q[1]; cx q[5], q[1]; rz(-0.06639005480099258) q[0]; cx q[5], q[0]; rz(0.06639005480099258) q[0]; cx q[5], q[0]; rz(0.05287973466200147) q[5]; cx q[4], q[5]; rz(-0.05287973466200147) q[5]; cx q[4], q[5]; rz(0.060779759962936025) q[3]; cx q[4], q[3]; rz(-0.060779759962936025) q[3]; cx q[4], q[3]; rz(-0.006296628642059654) q[8]; cx q[3], q[8]; rz(0.006296628642059654) q[8]; cx q[3], q[8]; rz(0.026848428051036162) q[7]; cx q[3], q[7]; rz(-0.026848428051036162) q[7]; cx q[3], q[7]; rz(-0.00527898498725134) q[6]; cx q[3], q[6]; rz(0.00527898498725134) q[6]; cx q[3], q[6]; rz(0.05287973466200147) q[5]; cx q[3], q[5]; rz(-0.05287973466200147) q[5]; cx q[3], q[5]; rz(-0.013366770521226253) q[2]; cx q[4], q[2]; rz(0.013366770521226253) q[2]; cx q[4], q[2]; rz(0.007522836972554615) q[1]; cx q[4], q[1]; rz(-0.007522836972554615) q[1]; cx q[4], q[1]; rz(-0.06639005480099258) q[0]; cx q[4], q[0]; rz(0.06639005480099258) q[0]; cx q[4], q[0]; rz(0.013696347468581976) q[4]; cx q[3], q[4]; rz(-0.013696347468581976) q[4]; cx q[3], q[4]; rz(-0.013366770521226253) q[2]; cx q[3], q[2]; rz(0.013366770521226253) q[2]; cx q[3], q[2]; rz(-0.006296628642059654) q[8]; cx q[2], q[8]; rz(0.006296628642059654) q[8]; cx q[2], q[8]; rz(0.026848428051036162) q[7]; cx q[2], q[7]; rz(-0.026848428051036162) q[7]; cx q[2], q[7]; rz(-0.00527898498725134) q[6]; cx q[2], q[6]; rz(0.00527898498725134) q[6]; cx q[2], q[6]; rz(0.05287973466200147) q[5]; cx q[2], q[5]; rz(-0.05287973466200147) q[5]; cx q[2], q[5]; rz(0.013696347468581976) q[4]; cx q[2], q[4]; rz(-0.013696347468581976) q[4]; cx q[2], q[4]; rz(0.007522836972554615) q[1]; cx q[3], q[1]; rz(-0.007522836972554615) q[1]; cx q[3], q[1]; rz(-0.06639005480099258) q[0]; cx q[3], q[0]; rz(0.06639005480099258) q[0]; cx q[3], q[0]; rz(0.060779759962936025) q[3]; cx q[2], q[3]; rz(-0.060779759962936025) q[3]; cx q[2], q[3]; rz(0.007522836972554615) q[1]; cx q[2], q[1]; rz(-0.007522836972554615) q[1]; cx q[2], q[1]; rz(-0.006296628642059654) q[8]; cx q[1], q[8]; rz(0.006296628642059654) q[8]; cx q[1], q[8]; rz(0.026848428051036162) q[7]; cx q[1], q[7]; rz(-0.026848428051036162) q[7]; cx q[1], q[7]; rz(-0.00527898498725134) q[6]; cx q[1], q[6]; rz(0.00527898498725134) q[6]; cx q[1], q[6]; rz(0.05287973466200147) q[5]; cx q[1], q[5]; rz(-0.05287973466200147) q[5]; cx q[1], q[5]; rz(0.013696347468581976) q[4]; cx q[1], q[4]; rz(-0.013696347468581976) q[4]; cx q[1], q[4]; rz(0.060779759962936025) q[3]; cx q[1], q[3]; rz(-0.060779759962936025) q[3]; cx q[1], q[3]; rz(-0.06639005480099258) q[0]; cx q[2], q[0]; rz(0.06639005480099258) q[0]; cx q[2], q[0]; rz(-0.013366770521226253) q[2]; cx q[1], q[2]; rz(0.013366770521226253) q[2]; cx q[1], q[2]; rz(-0.06639005480099258) q[0]; cx q[1], q[0]; rz(0.06639005480099258) q[0]; cx q[1], q[0]; rz(-0.006296628642059654) q[8]; cx q[0], q[8]; rz(0.006296628642059654) q[8]; cx q[0], q[8]; rz(0.026848428051036162) q[7]; cx q[0], q[7]; rz(-0.026848428051036162) q[7]; cx q[0], q[7]; rz(-0.00527898498725134) q[6]; cx q[0], q[6]; rz(0.00527898498725134) q[6]; cx q[0], q[6]; rz(0.05287973466200147) q[5]; cx q[0], q[5]; rz(-0.05287973466200147) q[5]; cx q[0], q[5]; rz(0.013696347468581976) q[4]; cx q[0], q[4]; rz(-0.013696347468581976) q[4]; cx q[0], q[4]; rz(0.060779759962936025) q[3]; cx q[0], q[3]; rz(-0.060779759962936025) q[3]; cx q[0], q[3]; rz(-0.013366770521226253) q[2]; cx q[0], q[2]; rz(0.013366770521226253) q[2]; cx q[0], q[2]; rz(0.007522836972554615) q[1]; cx q[0], q[1]; rz(-0.007522836972554615) q[1]; cx q[0], q[1]; rx(-0.0012536835736322027) q[0]; rz(-0.003774619122981243) q[0]; rx(-0.19245603524313143) q[1]; rz(0.0009130312776563804) q[1]; rx(0.003959894235298134) q[2]; rz(0.06015013724367522) q[2]; rx(0.09429164091142464) q[3]; rz(0.033858263761870566) q[3]; rx(0.2586469795018227) q[4]; rz(0.1212605789467621) q[4]; rx(0.0076340171365738025) q[5]; rz(0.1515809332058816) q[5]; rx(-0.09233746538226953) q[6]; rz(-0.10551842309055472) q[6]; rx(0.09204755953886379) q[7]; rz(-0.015422409725521728) q[7]; rx(0.32044462597856516) q[8]; rz(-0.1279902916142243) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x121; input float[64] x122; input float[64] x123; input float[64] x124; input float[64] x125; input float[64] x126; input float[64] x127; input float[64] x128; input float[64] x129; input float[64] x13; input float[64] x130; input float[64] x131; input float[64] x132; input float[64] x133; input float[64] x134; input float[64] x135; input float[64] x136; input float[64] x137; input float[64] x138; input float[64] x139; input float[64] x14; input float[64] x140; input float[64] x141; input float[64] x142; input float[64] x143; input float[64] x144; input float[64] x145; input float[64] x146; input float[64] x147; input float[64] x148; input float[64] x149; input float[64] x15; input float[64] x150; input float[64] x151; input float[64] x152; input float[64] x153; input float[64] x154; input float[64] x155; input float[64] x156; input float[64] x157; input float[64] x158; input float[64] x159; input float[64] x16; input float[64] x160; input float[64] x161; input float[64] x162; input float[64] x163; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x2) q[5]; rz(x10) q[5]; rx(x11) q[6]; rz(x12) q[6]; rx(x13) q[7]; rz(x14) q[7]; rx(x15) q[8]; rz(x16) q[8]; crz(x17) q[8], q[7]; crz(x18) q[8], q[6]; crz(x19) q[8], q[5]; crz(x20) q[8], q[4]; crz(x21) q[8], q[3]; crz(x22) q[8], q[2]; crz(x23) q[8], q[1]; crz(x24) q[8], q[0]; crz(x25) q[7], q[8]; crz(x18) q[7], q[6]; crz(x19) q[7], q[5]; crz(x20) q[7], q[4]; crz(x21) q[7], q[3]; crz(x22) q[7], q[2]; crz(x23) q[7], q[1]; crz(x24) q[7], q[0]; crz(x25) q[6], q[8]; crz(x17) q[6], q[7]; crz(x19) q[6], q[5]; crz(x20) q[6], q[4]; crz(x21) q[6], q[3]; crz(x22) q[6], q[2]; crz(x23) q[6], q[1]; crz(x24) q[6], q[0]; crz(x25) q[5], q[8]; crz(x17) q[5], q[7]; crz(x18) q[5], q[6]; crz(x20) q[5], q[4]; crz(x21) q[5], q[3]; crz(x22) q[5], q[2]; crz(x23) q[5], q[1]; crz(x24) q[5], q[0]; crz(x25) q[4], q[8]; crz(x17) q[4], q[7]; crz(x18) q[4], q[6]; crz(x19) q[4], q[5]; crz(x21) q[4], q[3]; crz(x22) q[4], q[2]; crz(x23) q[4], q[1]; crz(x24) q[4], q[0]; crz(x25) q[3], q[8]; crz(x17) q[3], q[7]; crz(x18) q[3], q[6]; crz(x19) q[3], q[5]; crz(x20) q[3], q[4]; crz(x22) q[3], q[2]; crz(x23) q[3], q[1]; crz(x24) q[3], q[0]; crz(x25) q[2], q[8]; crz(x17) q[2], q[7]; crz(x18) q[2], q[6]; crz(x19) q[2], q[5]; crz(x20) q[2], q[4]; crz(x21) q[2], q[3]; crz(x23) q[2], q[1]; crz(x24) q[2], q[0]; crz(x25) q[1], q[8]; crz(x17) q[1], q[7]; crz(x18) q[1], q[6]; crz(x19) q[1], q[5]; crz(x20) q[1], q[4]; crz(x21) q[1], q[3]; crz(x22) q[1], q[2]; crz(x24) q[1], q[0]; crz(x25) q[0], q[8]; crz(x17) q[0], q[7]; crz(x18) q[0], q[6]; crz(x19) q[0], q[5]; crz(x20) q[0], q[4]; crz(x21) q[0], q[3]; crz(x22) q[0], q[2]; crz(x23) q[0], q[1]; rx(x26) q[0]; rz(x27) q[0]; rx(x28) q[1]; rz(x29) q[1]; rx(x30) q[2]; rz(x31) q[2]; rx(x32) q[3]; rz(x33) q[3]; rx(x34) q[4]; rz(x35) q[4]; rx(x36) q[5]; rz(x37) q[5]; rx(x38) q[6]; rz(x39) q[6]; rx(x40) q[7]; rz(x41) q[7]; rx(x42) q[8]; rz(x43) q[8]; rx(x44) q[0]; rz(x45) q[0]; rx(x30) q[1]; rz(x46) q[1]; rx(x47) q[2]; rz(x48) q[2]; rx(x49) q[3]; rz(x50) q[3]; rx(x51) q[4]; rz(x52) q[4]; rx(x53) q[5]; rz(x54) q[5]; rx(x55) q[6]; rz(x56) q[6]; rx(x57) q[7]; rz(x58) q[7]; rx(x59) q[8]; rz(x60) q[8]; crz(x61) q[8], q[7]; crz(x62) q[8], q[6]; crz(x63) q[8], q[5]; crz(x64) q[8], q[4]; crz(x65) q[8], q[3]; crz(x66) q[8], q[2]; crz(x67) q[8], q[1]; crz(x68) q[8], q[0]; crz(x69) q[7], q[8]; crz(x62) q[7], q[6]; crz(x63) q[7], q[5]; crz(x64) q[7], q[4]; crz(x65) q[7], q[3]; crz(x66) q[7], q[2]; crz(x67) q[7], q[1]; crz(x68) q[7], q[0]; crz(x69) q[6], q[8]; crz(x61) q[6], q[7]; crz(x63) q[6], q[5]; crz(x64) q[6], q[4]; crz(x65) q[6], q[3]; crz(x66) q[6], q[2]; crz(x67) q[6], q[1]; crz(x68) q[6], q[0]; crz(x69) q[5], q[8]; crz(x61) q[5], q[7]; crz(x62) q[5], q[6]; crz(x64) q[5], q[4]; crz(x65) q[5], q[3]; crz(x66) q[5], q[2]; crz(x67) q[5], q[1]; crz(x68) q[5], q[0]; crz(x69) q[4], q[8]; crz(x61) q[4], q[7]; crz(x62) q[4], q[6]; crz(x63) q[4], q[5]; crz(x65) q[4], q[3]; crz(x66) q[4], q[2]; crz(x67) q[4], q[1]; crz(x68) q[4], q[0]; crz(x69) q[3], q[8]; crz(x61) q[3], q[7]; crz(x62) q[3], q[6]; crz(x63) q[3], q[5]; crz(x64) q[3], q[4]; crz(x66) q[3], q[2]; crz(x67) q[3], q[1]; crz(x68) q[3], q[0]; crz(x69) q[2], q[8]; crz(x61) q[2], q[7]; crz(x62) q[2], q[6]; crz(x63) q[2], q[5]; crz(x64) q[2], q[4]; crz(x65) q[2], q[3]; crz(x67) q[2], q[1]; crz(x68) q[2], q[0]; crz(x69) q[1], q[8]; crz(x61) q[1], q[7]; crz(x62) q[1], q[6]; crz(x63) q[1], q[5]; crz(x64) q[1], q[4]; crz(x65) q[1], q[3]; crz(x66) q[1], q[2]; crz(x68) q[1], q[0]; crz(x69) q[0], q[8]; crz(x61) q[0], q[7]; crz(x62) q[0], q[6]; crz(x63) q[0], q[5]; crz(x64) q[0], q[4]; crz(x65) q[0], q[3]; crz(x66) q[0], q[2]; crz(x67) q[0], q[1]; rx(x70) q[0]; rz(x71) q[0]; rx(x28) q[1]; rz(x72) q[1]; rx(x73) q[2]; rz(x74) q[2]; rx(x75) q[3]; rz(x76) q[3]; rx(x77) q[4]; rz(x78) q[4]; rx(x79) q[5]; rz(x80) q[5]; rx(x81) q[6]; rz(x82) q[6]; rx(x30) q[7]; rz(x83) q[7]; rx(x84) q[8]; rz(x85) q[8]; rx(x81) q[0]; rz(x86) q[0]; rx(x87) q[1]; rz(x88) q[1]; rx(x89) q[2]; rz(x90) q[2]; rx(x28) q[3]; rz(x91) q[3]; rx(x92) q[4]; rz(x93) q[4]; rx(x94) q[5]; rz(x95) q[5]; rx(x96) q[6]; rz(x97) q[6]; rx(x98) q[7]; rz(x31) q[7]; rx(x99) q[8]; rz(x100) q[8]; crz(x101) q[8], q[7]; crz(x102) q[8], q[6]; crz(x103) q[8], q[5]; crz(x104) q[8], q[4]; crz(x105) q[8], q[3]; crz(x106) q[8], q[2]; crz(x107) q[8], q[1]; crz(x108) q[8], q[0]; crz(x109) q[7], q[8]; crz(x102) q[7], q[6]; crz(x103) q[7], q[5]; crz(x104) q[7], q[4]; crz(x105) q[7], q[3]; crz(x106) q[7], q[2]; crz(x107) q[7], q[1]; crz(x108) q[7], q[0]; crz(x109) q[6], q[8]; crz(x101) q[6], q[7]; crz(x103) q[6], q[5]; crz(x104) q[6], q[4]; crz(x105) q[6], q[3]; crz(x106) q[6], q[2]; crz(x107) q[6], q[1]; crz(x108) q[6], q[0]; crz(x109) q[5], q[8]; crz(x101) q[5], q[7]; crz(x102) q[5], q[6]; crz(x104) q[5], q[4]; crz(x105) q[5], q[3]; crz(x106) q[5], q[2]; crz(x107) q[5], q[1]; crz(x108) q[5], q[0]; crz(x109) q[4], q[8]; crz(x101) q[4], q[7]; crz(x102) q[4], q[6]; crz(x103) q[4], q[5]; crz(x105) q[4], q[3]; crz(x106) q[4], q[2]; crz(x107) q[4], q[1]; crz(x108) q[4], q[0]; crz(x109) q[3], q[8]; crz(x101) q[3], q[7]; crz(x102) q[3], q[6]; crz(x103) q[3], q[5]; crz(x104) q[3], q[4]; crz(x106) q[3], q[2]; crz(x107) q[3], q[1]; crz(x108) q[3], q[0]; crz(x109) q[2], q[8]; crz(x101) q[2], q[7]; crz(x102) q[2], q[6]; crz(x103) q[2], q[5]; crz(x104) q[2], q[4]; crz(x105) q[2], q[3]; crz(x107) q[2], q[1]; crz(x108) q[2], q[0]; crz(x109) q[1], q[8]; crz(x101) q[1], q[7]; crz(x102) q[1], q[6]; crz(x103) q[1], q[5]; crz(x104) q[1], q[4]; crz(x105) q[1], q[3]; crz(x106) q[1], q[2]; crz(x108) q[1], q[0]; crz(x109) q[0], q[8]; crz(x101) q[0], q[7]; crz(x102) q[0], q[6]; crz(x103) q[0], q[5]; crz(x104) q[0], q[4]; crz(x105) q[0], q[3]; crz(x106) q[0], q[2]; crz(x107) q[0], q[1]; rx(x110) q[0]; rz(x111) q[0]; rx(x49) q[1]; rz(x112) q[1]; rx(x113) q[2]; rz(x114) q[2]; rx(x115) q[3]; rz(x116) q[3]; rx(x117) q[4]; rz(x118) q[4]; rx(x55) q[5]; rz(x119) q[5]; rx(x120) q[6]; rz(x121) q[6]; rx(x122) q[7]; rz(x123) q[7]; rx(x124) q[8]; rz(x125) q[8]; rx(x81) q[0]; rz(x126) q[0]; rx(x127) q[1]; rz(x128) q[1]; rx(x129) q[2]; rz(x130) q[2]; rx(x131) q[3]; rz(x132) q[3]; rx(x133) q[4]; rz(x134) q[4]; rx(x135) q[5]; rz(x136) q[5]; rx(x75) q[6]; rz(x137) q[6]; rx(x138) q[7]; rz(x139) q[7]; rx(x140) q[8]; rz(x141) q[8]; crz(x142) q[8], q[7]; crz(x63) q[8], q[6]; crz(x143) q[8], q[5]; crz(x144) q[8], q[4]; crz(x145) q[8], q[3]; crz(x146) q[8], q[2]; crz(x147) q[8], q[1]; crz(x148) q[8], q[0]; crz(x149) q[7], q[8]; crz(x63) q[7], q[6]; crz(x143) q[7], q[5]; crz(x144) q[7], q[4]; crz(x145) q[7], q[3]; crz(x146) q[7], q[2]; crz(x147) q[7], q[1]; crz(x148) q[7], q[0]; crz(x149) q[6], q[8]; crz(x142) q[6], q[7]; crz(x143) q[6], q[5]; crz(x144) q[6], q[4]; crz(x145) q[6], q[3]; crz(x146) q[6], q[2]; crz(x147) q[6], q[1]; crz(x148) q[6], q[0]; crz(x149) q[5], q[8]; crz(x142) q[5], q[7]; crz(x63) q[5], q[6]; crz(x144) q[5], q[4]; crz(x145) q[5], q[3]; crz(x146) q[5], q[2]; crz(x147) q[5], q[1]; crz(x148) q[5], q[0]; crz(x149) q[4], q[8]; crz(x142) q[4], q[7]; crz(x63) q[4], q[6]; crz(x143) q[4], q[5]; crz(x145) q[4], q[3]; crz(x146) q[4], q[2]; crz(x147) q[4], q[1]; crz(x148) q[4], q[0]; crz(x149) q[3], q[8]; crz(x142) q[3], q[7]; crz(x63) q[3], q[6]; crz(x143) q[3], q[5]; crz(x144) q[3], q[4]; crz(x146) q[3], q[2]; crz(x147) q[3], q[1]; crz(x148) q[3], q[0]; crz(x149) q[2], q[8]; crz(x142) q[2], q[7]; crz(x63) q[2], q[6]; crz(x143) q[2], q[5]; crz(x144) q[2], q[4]; crz(x145) q[2], q[3]; crz(x147) q[2], q[1]; crz(x148) q[2], q[0]; crz(x149) q[1], q[8]; crz(x142) q[1], q[7]; crz(x63) q[1], q[6]; crz(x143) q[1], q[5]; crz(x144) q[1], q[4]; crz(x145) q[1], q[3]; crz(x146) q[1], q[2]; crz(x148) q[1], q[0]; crz(x149) q[0], q[8]; crz(x142) q[0], q[7]; crz(x63) q[0], q[6]; crz(x143) q[0], q[5]; crz(x144) q[0], q[4]; crz(x145) q[0], q[3]; crz(x146) q[0], q[2]; crz(x147) q[0], q[1]; rx(x150) q[0]; rz(x115) q[0]; rx(x151) q[1]; rz(x55) q[1]; rx(x44) q[2]; rz(x152) q[2]; rx(x79) q[3]; rz(x153) q[3]; rx(x154) q[4]; rz(x155) q[4]; rx(x156) q[5]; rz(x157) q[5]; rx(x158) q[6]; rz(x159) q[6]; rx(x160) q[7]; rz(x161) q[7]; rx(x162) q[8]; rz(x163) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"source": 0, "sink": 8}
{"circuits": [], "gradients": []}
[ "IIIZIIIIZ", "IIIZIIIZI", "IIIZIIZII", "IIIIIIZZI", "IIIIIZZII", "IIZZIIIII", "IIZIIZIII", "IIZIZIIII", "IZIZIIIII", "IZIIIIZII", "ZIIIIIIIZ", "ZZIIIIIII", "IIIZIIIII", "IIIIIIIIZ", "IIIIIIIZI", "IIIIIIZII", "IIIIIZIII", "IIZIIIIII", "IIIIZIIII", "IZIIIIIII", "ZIIIIIIII" ]
[ -0.25, -0.5, -1, -0.5, -0.25, -0.5, -0.5, -0.5, -0.75, -0.5, 0.5, -0.25, 0, -0.25, 0, -0.25, -0.25, -0.5, 0.5, 0.5, 0.25 ]
0.976815
[ -0.09647183539808979, 0.05130335289939203, 0.13224787220138884, -0.2779581639629566, 0.11762480440877826, -0.18992485692879646, -0.17770753533360983, 0.09130083512832282, 0.014884824492929508, 0.2343849771601969, -0.11903788167930729, -0.11736341591321332, -0.30761109139788007, 0.067742524...
{ "n_parameters": 164, "n_qubits": 9, "optimal_eigenvalue": -6, "target_ratio": 0.97, "target_value": -5.82 }
9
29e20e1b5f946c33b32370f6ba5b02af
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 1, "target": 8}, {"capacity": 2, "source": 1, "target": 11}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 6}, {"capacity": 2, "source": 2, "target": 9}, {"capacity": 2, "source": 2, "target": 10}, {"capacity": 1, "source": 3, "target": 4}, {"capacity": 1, "source": 3, "target": 8}, {"capacity": 2, "source": 3, "target": 9}, {"capacity": 2, "source": 4, "target": 1}, {"capacity": 2, "source": 4, "target": 2}, {"capacity": 2, "source": 4, "target": 3}, {"capacity": 2, "source": 4, "target": 8}, {"capacity": 1, "source": 4, "target": 9}, {"capacity": 2, "source": 4, "target": 10}, {"capacity": 1, "source": 4, "target": 11}, {"capacity": 2, "source": 5, "target": 2}, {"capacity": 2, "source": 5, "target": 4}, {"capacity": 1, "source": 5, "target": 10}, {"capacity": 2, "source": 6, "target": 3}, {"capacity": 1, "source": 6, "target": 8}, {"capacity": 2, "source": 6, "target": 10}, {"capacity": 1, "source": 6, "target": 11}, {"capacity": 2, "source": 7, "target": 9}, {"capacity": 1, "source": 8, "target": 6}, {"capacity": 1, "source": 8, "target": 11}, {"capacity": 1, "source": 9, "target": 1}, {"capacity": 2, "source": 9, "target": 4}, {"capacity": 2, "source": 9, "target": 6}, {"capacity": 1, "source": 9, "target": 8}, {"capacity": 1, "source": 10, "target": 1}]}
{"states": [0, 256], "expectation_value": -13.37793465516484, "params": [-0.0037, 0.0029000000000000002, -0.004, -0.0017000000000000001, -0.0038, -0.0004, 0.3073, 0.30210000000000004, -0.0067, -0.0017000000000000001, -0.0019, -0.0012000000000000001, -0.0011, -0.0038, 0.10890000000000001, 0.194, -0.0028, -0.0082, 0.051500000000000004, 0.0683, -0.0082, -0.0006000000000000001, -0.0041, -0.0022, -0.0032, -0.0002, -0.005, -0.0045000000000000005, -0.0051, 0.0044, 0.3035, 0.30810000000000004, -0.0038, -0.0007, -0.0047, -0.0, -0.0039000000000000003, 0.0025, 0.2449, 0.24680000000000002, -0.0048000000000000004, -0.0011, 0.1206, 0.1743, -0.0013000000000000002, -0.0029000000000000002, 0.0016, -0.0048000000000000004, -0.0008, -0.0032, -0.0004, -0.0007, -0.0036000000000000003, -0.0045000000000000005, 0.3074, 0.3069, -0.0026000000000000003, 0.0006000000000000001, -0.0036000000000000003, -0.0008, -0.0057, -0.0034000000000000002, 0.2484, 0.2479, -0.0004, -0.001, 0.21780000000000002, 0.24400000000000002, 0.0007, -0.0055000000000000005, -0.0034000000000000002, -0.0037, 0.24000000000000002, 0.1686, 0.0868, 0.0263, 0.21080000000000002, 0.0132, 0.2295, 0.1887, 0.0001, 0.2358, -0.0183, -0.0, 0.2437, 0.0079, 0.2364, 0.23850000000000002, -0.014400000000000001, 0.24180000000000001, 0.2298, -0.0095, 0.010100000000000001, 0.15940000000000001, 0.0656, 0.0194, 0.2364, 0.1023, 0.003, -0.033800000000000004, 0.08220000000000001, -0.0029000000000000002, 0.23570000000000002, -0.0131, 0.0001, 0.22920000000000001, -0.0051, 0.0002, 0.2356, -0.003, 0.2427, 0.1962, 0.003, 0.23750000000000002, 0.1554, 0.001, -0.012400000000000001, 0.19, 0.06470000000000001, -0.0024000000000000002, 0.23550000000000001, -0.0698, 0.004, -0.0264, -0.0506, 0.0162, 0.22640000000000002, -0.0711, 0.0004, 0.2331, -0.0059, -0.0001, 0.1124, -0.0045000000000000005, 0.2383, -0.19740000000000002, 0.0019, 0.2341, 0.2021, -0.0001, -0.0085, 0.0743, -0.063, 0.0055000000000000005], "bitstrings": ["111111111111", "111011111111"], "total_optimization_steps": 30, "probabilities": [0.19312822460375528, 0.3298575491076224], "optimization_time": 42.80742311477661}
-0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(11)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -0.75 * (Z(6) @ Z(11)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(10)) + -0.5 * (Z(8) @ Z(11)) + -0.5 * (Z(8) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(9) @ Z(11)) + -1.25 * Z(5) + -0.25 * Z(0) + -1.25 * Z(10) + -0.75 * Z(11) + 1.0 * Z(1) + 1.5 * Z(6) + 0.0 * Z(8) + 0.25 * Z(3) + 0.5 * Z(4) + -1.5 * Z(2) + 1.25 * Z(7) + 0.5 * Z(9)
14
12
3
{"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "111011101011", "111011101111", "111011111011", "111011111111"], "largest_eigenvalue": 15.25}
OPENQASM 3.0; include "stdgates.inc"; qubit[12] q; ry(0.21339719581214925) q[0]; rz(pi/2) q[0]; ry(0.16112701788019781) q[1]; ry(-0.1741930176279861) q[2]; ry(0.3185327243754466) q[3]; ry(0.04309262364825121) q[4]; ry(0.02866007162598696) q[5]; ry(-0.009254302915217024) q[6]; ry(0.37720427191283173) q[7]; ry(-0.048683864270376215) q[8]; ry(0.08154015711331503) q[9]; ry(0.09656654578099143) q[10]; ry(-0.023913394771946705) q[11]; cx q[11], q[0]; ry(-0.1271325249286713) q[0]; cx q[11], q[0]; ry(0.1271325249286713) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[11]; cx q[10], q[11]; ry(-0.06806783476018316) q[11]; cx q[10], q[11]; ry(0.06806783476018316) q[11]; rz(-pi/2) q[11]; rz(pi/2) q[10]; cx q[9], q[10]; ry(0.0750263896657063) q[10]; cx q[9], q[10]; rz(pi/2) q[9]; cx q[8], q[9]; ry(-0.1556105747666852) q[9]; cx q[8], q[9]; rz(pi/2) q[8]; cx q[7], q[8]; ry(0.06130562780287297) q[8]; cx q[7], q[8]; rz(pi/2) q[7]; cx q[6], q[7]; ry(-0.0718063882736158) q[7]; cx q[6], q[7]; rz(pi/2) q[6]; cx q[5], q[6]; ry(-0.1349703945045958) q[6]; cx q[5], q[6]; rz(pi/2) q[5]; cx q[4], q[5]; ry(0.009830504402780738) q[5]; cx q[4], q[5]; rz(pi/2) q[4]; cx q[3], q[4]; ry(-0.05534724897334995) q[4]; cx q[3], q[4]; rz(pi/2) q[3]; cx q[2], q[3]; ry(-0.0906519643433126) q[3]; cx q[2], q[3]; rz(pi/2) q[2]; cx q[1], q[2]; ry(-0.06290974753354958) q[2]; cx q[1], q[2]; rz(pi/2) q[1]; cx q[0], q[1]; ry(-0.021716850056507482) q[1]; cx q[0], q[1]; ry(-0.06223415776929743) q[0]; ry(0.021716850056507406) q[1]; rx(-0.06062179201102502) q[1]; ry(-0.07502638966570634) q[10]; rx(-0.0006033684737154488) q[10]; ry(-0.15538478569125538) q[11]; cx q[11], q[10]; ry(-0.04495601090257313) q[10]; cx q[11], q[10]; rz(pi/2) q[11]; cx q[0], q[11]; ry(-0.0504165712943951) q[11]; cx q[0], q[11]; cx q[0], q[1]; ry(0.0504165712943951) q[11]; rz(-pi/2) q[11]; ry(-0.002967733989849295) q[1]; cx q[0], q[1]; ry(0.029123788130394485) q[0]; ry(0.002967733989849295) q[1]; rz(-pi/2) q[1]; rz(pi/2) q[0]; ry(0.04495601090257313) q[10]; ry(-0.05447972538415377) q[11]; cx q[11], q[0]; ry(-0.0718063882736158) q[0]; cx q[11], q[0]; ry(0.0718063882736158) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[11]; ry(0.06290974753354961) q[2]; rx(-0.01110067624275679) q[2]; cx q[1], q[2]; ry(-0.05302895024320188) q[2]; cx q[1], q[2]; ry(0.05302895024320188) q[2]; rz(-pi/2) q[2]; ry(0.05389064979885214) q[1]; ry(0.09065196434331269) q[3]; rx(-0.43916404082962757) q[3]; cx q[2], q[3]; ry(-0.15009490896933508) q[3]; cx q[2], q[3]; ry(0.15009490896933508) q[3]; rz(-pi/2) q[3]; ry(0.13003180485064922) q[2]; ry(0.055347248973349916) q[4]; rx(-0.060621792011023246) q[4]; cx q[3], q[4]; ry(-0.02974439632453942) q[4]; cx q[3], q[4]; ry(0.02974439632453942) q[4]; rz(-pi/2) q[4]; ry(0.3547316860749043) q[3]; ry(-0.009830504402780844) q[5]; rx(0.06921844207379735) q[5]; cx q[4], q[5]; ry(0.06647262553994875) q[5]; cx q[4], q[5]; ry(-0.06647262553994875) q[5]; rz(-pi/2) q[5]; ry(-0.1741930176279861) q[4]; ry(0.13497039450459575) q[6]; rx(0.17419301762798467) q[6]; cx q[5], q[6]; ry(-0.1618049225317236) q[6]; cx q[5], q[6]; ry(0.1618049225317236) q[6]; rz(-pi/2) q[6]; ry(0.10883721988735832) q[5]; ry(0.0718063882736157) q[7]; rx(-0.08539954485724266) q[7]; cx q[6], q[7]; ry(-0.10633933418771124) q[7]; cx q[6], q[7]; ry(0.10633933418771124) q[7]; rz(-pi/2) q[7]; ry(-0.08601765078862302) q[6]; ry(-0.06130562780287294) q[8]; rx(-0.096566545780993) q[8]; cx q[7], q[8]; ry(-0.0029365728367202653) q[8]; cx q[7], q[8]; ry(0.0029365728367202653) q[8]; rz(-pi/2) q[8]; ry(0.2588454416071646) q[7]; ry(0.15561057476668513) q[9]; rx(-0.07882467818762251) q[9]; cx q[8], q[9]; ry(-0.03582872670655164) q[9]; cx q[8], q[9]; ry(0.03582872670655164) q[9]; rz(-pi/2) q[9]; cx q[9], q[10]; ry(0.016002203897889755) q[10]; cx q[9], q[10]; ry(-0.016002203897889755) q[10]; rz(-pi/2) q[10]; ry(-0.16013190766048524) q[10]; cx q[10], q[11]; ry(0.020276718352618205) q[11]; cx q[10], q[11]; ry(-0.020276718352618205) q[11]; rz(-pi/2) q[11]; rz(pi/2) q[10]; ry(-0.05505805013257881) q[11]; ry(-0.05505805013257881) q[8]; ry(0.18468388782740947) q[9]; cx q[9], q[10]; ry(0.05046820558122049) q[10]; cx q[9], q[10]; rz(pi/2) q[9]; cx q[8], q[9]; ry(-0.005756535222027376) q[9]; cx q[8], q[9]; rz(pi/2) q[8]; cx q[7], q[8]; ry(0.037991815104794116) q[8]; cx q[7], q[8]; rz(pi/2) q[7]; cx q[6], q[7]; ry(-0.06861878355857587) q[7]; cx q[6], q[7]; rz(pi/2) q[6]; cx q[5], q[6]; ry(-0.09901145626343556) q[6]; cx q[5], q[6]; rz(pi/2) q[5]; cx q[4], q[5]; ry(-0.06501590242532461) q[5]; cx q[4], q[5]; rz(pi/2) q[4]; cx q[3], q[4]; ry(-0.05534724897334995) q[4]; cx q[3], q[4]; rz(pi/2) q[3]; cx q[2], q[3]; ry(-0.18379044586235893) q[3]; cx q[2], q[3]; rz(pi/2) q[2]; cx q[1], q[2]; ry(0.013073419204558734) q[2]; cx q[1], q[2]; rz(pi/2) q[1]; cx q[0], q[1]; ry(0.037991815104794116) q[1]; cx q[0], q[1]; ry(0.04766224801119318) q[0]; ry(-0.037991815104794206) q[1]; rx(0.08153497580900826) q[1]; ry(-0.050468205581220414) q[10]; rx(0.10448432588976253) q[10]; cx q[11], q[10]; ry(0.05221840987645218) q[10]; cx q[11], q[10]; rz(pi/2) q[11]; cx q[0], q[11]; ry(-0.0620187857996939) q[11]; cx q[0], q[11]; cx q[0], q[1]; ry(0.0620187857996939) q[11]; rz(-pi/2) q[11]; ry(0.05224216294488218) q[1]; cx q[0], q[1]; ry(-0.09693535260663462) q[0]; ry(-0.05224216294488218) q[1]; rz(-pi/2) q[1]; rz(pi/2) q[0]; ry(-0.05221840987645217) q[10]; ry(-0.05474692072570244) q[11]; cx q[11], q[0]; ry(-0.12285708553990231) q[0]; cx q[11], q[0]; ry(0.12285708553990231) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[11]; ry(-0.013073419204558671) q[2]; rx(-0.022824752405760762) q[2]; cx q[1], q[2]; ry(-0.0032471947034364342) q[2]; cx q[1], q[2]; ry(0.0032471947034364342) q[2]; rz(-pi/2) q[2]; ry(0.011100676242756203) q[1]; ry(0.183790445862359) q[3]; rx(-0.3928391121282182) q[3]; cx q[2], q[3]; ry(0.029580285291455635) q[3]; cx q[2], q[3]; ry(-0.029580285291455635) q[3]; rz(-pi/2) q[3]; ry(0.08360535663736827) q[2]; ry(0.05534724897335005) q[4]; rx(0.06266306650926312) q[4]; cx q[3], q[4]; ry(0.08427791317475972) q[4]; cx q[3], q[4]; ry(-0.08427791317475972) q[4]; rz(-pi/2) q[4]; ry(0.37658427293324126) q[3]; ry(0.06501590242532458) q[5]; rx(-0.05948879264907703) q[5]; cx q[4], q[5]; ry(-0.04996169956510267) q[5]; cx q[4], q[5]; ry(0.04996169956510267) q[5]; rz(-pi/2) q[5]; ry(0.010627868837154598) q[4]; ry(0.09901145626343563) q[6]; rx(0.04179937277416634) q[6]; cx q[5], q[6]; ry(-0.09215085178861739) q[6]; cx q[5], q[6]; ry(0.09215085178861739) q[6]; rz(-pi/2) q[6]; ry(0.08360535663736827) q[5]; ry(0.06861878355857592) q[7]; rx(-0.21632872804117653) q[7]; cx q[6], q[7]; ry(-0.1568320091688592) q[7]; cx q[6], q[7]; ry(0.1568320091688592) q[7]; rz(-pi/2) q[7]; ry(0.15950675703397868) q[6]; ry(-0.037991815104794026) q[8]; rx(0.009254302915220336) q[8]; cx q[7], q[8]; ry(-0.049783519605283114) q[8]; cx q[7], q[8]; ry(0.049783519605283114) q[8]; rz(-pi/2) q[8]; ry(0.24607403523450608) q[7]; ry(0.005756535222027345) q[9]; rx(-0.31285006483043354) q[9]; cx q[8], q[9]; ry(-0.04804458189223487) q[9]; cx q[8], q[9]; ry(0.04804458189223487) q[9]; rz(-pi/2) q[9]; cx q[9], q[10]; ry(-0.0024198553131679207) q[10]; cx q[9], q[10]; ry(0.0024198553131679207) q[10]; rz(-pi/2) q[10]; ry(0.02161259228155354) q[10]; cx q[10], q[11]; ry(0.039993041526914935) q[11]; cx q[10], q[11]; ry(-0.039993041526914935) q[11]; rz(-pi/2) q[11]; rz(pi/2) q[10]; ry(0.21339719581214925) q[11]; ry(0.011100676242756203) q[8]; ry(0.11270555330497002) q[9]; cx q[9], q[10]; ry(-0.02202839592678168) q[10]; cx q[9], q[10]; rz(pi/2) q[9]; cx q[8], q[9]; ry(-0.02017588318678383) q[9]; cx q[8], q[9]; rz(pi/2) q[8]; cx q[7], q[8]; ry(0.009475747585722762) q[8]; cx q[7], q[8]; rz(pi/2) q[7]; cx q[6], q[7]; ry(-0.035341890993919836) q[7]; cx q[6], q[7]; rz(pi/2) q[6]; cx q[5], q[6]; ry(0.012301841311051942) q[6]; cx q[5], q[6]; rz(pi/2) q[5]; cx q[4], q[5]; ry(0.046006856468560994) q[5]; cx q[4], q[5]; rz(pi/2) q[4]; cx q[3], q[4]; ry(0.06409370947475039) q[4]; cx q[3], q[4]; rz(pi/2) q[3]; cx q[2], q[3]; ry(-0.12677545061580991) q[3]; cx q[2], q[3]; rz(pi/2) q[2]; cx q[1], q[2]; ry(-0.0015424238707434819) q[2]; cx q[1], q[2]; rz(pi/2) q[1]; cx q[0], q[1]; ry(0.008044262356222829) q[1]; cx q[0], q[1]; ry(0.029123788130394485) q[0]; ry(-0.008044262356222838) q[1]; rx(0.062663066509268) q[1]; ry(0.022028395926781658) q[10]; rx(-0.047452821418218605) q[10]; cx q[11], q[10]; ry(0.01285565467324809) q[10]; cx q[11], q[10]; rz(pi/2) q[11]; cx q[0], q[11]; ry(-0.0034075461388942546) q[11]; cx q[0], q[11]; cx q[0], q[1]; ry(0.0034075461388942546) q[11]; rz(-pi/2) q[11]; ry(-0.06083506004335533) q[1]; cx q[0], q[1]; ry(0.06083506004335533) q[1]; rz(-pi/2) q[1]; ry(-0.012855654673248087) q[10]; ry(0.0015424238707434465) q[2]; rx(0.08153497580903935) q[2]; cx q[1], q[2]; ry(0.04169705642617694) q[2]; cx q[1], q[2]; ry(-0.04169705642617694) q[2]; rz(-pi/2) q[2]; ry(0.12677545061581) q[3]; rx(-0.4273969654517895) q[3]; cx q[2], q[3]; ry(-0.09275390991390722) q[3]; cx q[2], q[3]; ry(0.09275390991390722) q[3]; rz(-pi/2) q[3]; ry(-0.06409370947475049) q[4]; rx(-0.07137035072934417) q[4]; cx q[3], q[4]; ry(0.020571935505413756) q[4]; cx q[3], q[4]; ry(-0.020571935505413756) q[4]; rz(-pi/2) q[4]; ry(-0.0460068564685611) q[5]; rx(0.09693535260663477) q[5]; cx q[4], q[5]; ry(0.040767487904503796) q[5]; cx q[4], q[5]; ry(-0.040767487904503796) q[5]; rz(-pi/2) q[5]; ry(-0.012301841311051985) q[6]; rx(0.05474692072570342) q[6]; cx q[5], q[6]; ry(0.1109678820979914) q[6]; cx q[5], q[6]; ry(-0.1109678820979914) q[6]; rz(-pi/2) q[6]; ry(0.035341890993919746) q[7]; rx(-0.30456590905040315) q[7]; cx q[6], q[7]; ry(-0.10095984538639674) q[7]; cx q[6], q[7]; ry(0.10095984538639674) q[7]; rz(-pi/2) q[7]; ry(-0.009475747585722796) q[8]; rx(0.087895258459457) q[8]; cx q[7], q[8]; ry(0.020571935505413756) q[8]; cx q[7], q[8]; ry(-0.020571935505413756) q[8]; rz(-pi/2) q[8]; ry(0.020175883186783726) q[9]; rx(-0.3289981331061611) q[9]; cx q[8], q[9]; ry(-0.1084968587265886) q[9]; cx q[8], q[9]; ry(0.1084968587265886) q[9]; rz(-pi/2) q[9]; cx q[9], q[10]; ry(-0.06664984444458306) q[10]; cx q[9], q[10]; ry(0.06664984444458306) q[10]; rz(-pi/2) q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; ry(x11) q[11]; crx(x12) q[11], q[0]; crx(x13) q[10], q[11]; crx(x14) q[9], q[10]; crx(x15) q[8], q[9]; crx(x16) q[7], q[8]; crx(x17) q[6], q[7]; crx(x18) q[5], q[6]; crx(x19) q[4], q[5]; crx(x20) q[3], q[4]; crx(x21) q[2], q[3]; crx(x22) q[1], q[2]; crx(x23) q[0], q[1]; ry(x24) q[0]; ry(x25) q[1]; ry(x26) q[2]; ry(x27) q[3]; ry(x25) q[4]; ry(x28) q[5]; ry(x2) q[6]; ry(x29) q[7]; ry(x10) q[8]; ry(x30) q[9]; ry(x31) q[10]; ry(x32) q[11]; crx(x33) q[11], q[10]; crx(x34) q[0], q[11]; crx(x35) q[0], q[1]; crx(x36) q[1], q[2]; crx(x37) q[2], q[3]; crx(x38) q[3], q[4]; crx(x39) q[4], q[5]; crx(x40) q[5], q[6]; crx(x41) q[6], q[7]; crx(x42) q[7], q[8]; crx(x43) q[8], q[9]; crx(x44) q[9], q[10]; ry(x45) q[0]; ry(x46) q[1]; ry(x47) q[2]; ry(x48) q[3]; ry(x2) q[4]; ry(x49) q[5]; ry(x50) q[6]; ry(x51) q[7]; ry(x52) q[8]; ry(x53) q[9]; ry(x54) q[10]; ry(x55) q[11]; crx(x17) q[11], q[0]; crx(x56) q[10], q[11]; crx(x57) q[9], q[10]; crx(x58) q[8], q[9]; crx(x59) q[7], q[8]; crx(x60) q[6], q[7]; crx(x61) q[5], q[6]; crx(x47) q[4], q[5]; crx(x20) q[3], q[4]; crx(x62) q[2], q[3]; crx(x63) q[1], q[2]; crx(x59) q[0], q[1]; ry(x64) q[0]; ry(x65) q[1]; ry(x66) q[2]; ry(x67) q[3]; ry(x68) q[4]; ry(x38) q[5]; ry(x69) q[6]; ry(x70) q[7]; ry(x6) q[8]; ry(x71) q[9]; ry(x72) q[10]; ry(x52) q[11]; crx(x73) q[11], q[10]; crx(x74) q[0], q[11]; crx(x72) q[0], q[1]; crx(x75) q[1], q[2]; crx(x76) q[2], q[3]; crx(x77) q[3], q[4]; crx(x78) q[4], q[5]; crx(x79) q[5], q[6]; crx(x80) q[6], q[7]; crx(x81) q[7], q[8]; crx(x82) q[8], q[9]; crx(x83) q[9], q[10]; ry(x84) q[0]; ry(x26) q[1]; ry(x85) q[2]; ry(x86) q[3]; ry(x87) q[4]; ry(x85) q[5]; ry(x88) q[6]; ry(x89) q[7]; ry(x26) q[8]; ry(x90) q[9]; ry(x91) q[10]; ry(x92) q[11]; crx(x93) q[11], q[0]; crx(x94) q[10], q[11]; crx(x95) q[9], q[10]; crx(x96) q[8], q[9]; crx(x97) q[7], q[8]; crx(x98) q[6], q[7]; crx(x99) q[5], q[6]; crx(x100) q[4], q[5]; crx(x101) q[3], q[4]; crx(x102) q[2], q[3]; crx(x103) q[1], q[2]; crx(x104) q[0], q[1]; ry(x45) q[0]; ry(x68) q[1]; ry(x65) q[2]; ry(x105) q[3]; ry(x106) q[4]; ry(x84) q[5]; ry(x92) q[6]; ry(x107) q[7]; ry(x108) q[8]; ry(x109) q[9]; ry(x110) q[10]; ry(x0) q[11]; crx(x111) q[11], q[10]; crx(x112) q[0], q[11]; crx(x113) q[0], q[1]; crx(x114) q[1], q[2]; crx(x115) q[2], q[3]; crx(x116) q[3], q[4]; crx(x65) q[4], q[5]; crx(x117) q[5], q[6]; crx(x118) q[6], q[7]; crx(x116) q[7], q[8]; crx(x119) q[8], q[9]; crx(x120) q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
{"source": 0, "sink": 11}
{"circuits": [], "gradients": []}
[ "IIIIIIZIIIIZ", "IZIIIIZIIIII", "IZIIIIIIIIIZ", "ZIIIIIZIIIII", "ZIIIIIIIIIIZ", "ZZIIIIIIIIII", "IIIIIIZIIIZI", "IZIIIIIIIIZI", "ZIIIIIIIIIZI", "IIIIIZZIIIII", "IZIIIZIIIIII", "ZIIIIZIIIIII", "IIIIIZIIIIZI", "IIIZIIZIIIII", "IZIZIIIIIIII", "ZIIZIIIIIIII", "IIIZIIIIIIZI", "IIIIIIIIZ...
[ -0.5, -0.25, -0.25, -0.5, -0.5, -0.25, -0.5, -0.25, -0.25, -0.75, -0.5, -0.75, -0.75, -0.5, -0.5, -0.5, -0.5, 1.5, -0.25, -0.5, -0.25, -0.25, -0.25, -0.5, -0.5, -0.25, -0.25, -0.5, -0.5, -0.5, -0.5, -0.5, -0.25, -0.5, -1.25, -0.25, -1.25, -0....
0.972235
[ 0.21339719581214925, 0.16112701788019781, -0.1741930176279861, 0.3185327243754466, 0.04309262364825121, 0.02866007162598696, -0.009254302915217024, 0.37720427191283173, -0.048683864270376215, 0.08154015711331503, 0.09656654578099143, -0.023913394771946705, 0.2542650498573426, 0.13613566952...
{ "n_parameters": 121, "n_qubits": 12, "optimal_eigenvalue": -13.75, "target_ratio": 0.97, "target_value": -13.3375 }
1
34d5dc2e9aad35b904c913d8064475cf
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 5}, {"source": 5, "target": 8}, {"source": 6, "target": 7}, {"source": 6, "target": 8}, {"source": 7, "target": 8}]}
{"states": [26, 90], "expectation_value": -3.061993061226323, "params": [0.0239, 0.024200000000000003, 0.0357, 0.042800000000000005, 0.23420000000000002, 0.23470000000000002, 0.025, 0.030600000000000002, 0.3024, 0.2969, 0.3003, 0.298, 0.1184, 0.1213, 0.28700000000000003, 0.28900000000000003, -0.006500000000000001, -0.0076, 0.0199, 0.0187, 0.035300000000000005, 0.0366, 0.23370000000000002, 0.2346, 0.0302, 0.021400000000000002, 0.29710000000000003, 0.3045, 0.2984, 0.3048, 0.12150000000000001, 0.11370000000000001, 0.28700000000000003, 0.27240000000000003, -0.010700000000000001, -0.0082, 0.020900000000000002, 0.0229, 0.0344, 0.0388, 0.23900000000000002, 0.2366, 0.0245, 0.0287, 0.3022, 0.2979, 0.29960000000000003, 0.3022, 0.11520000000000001, 0.1073, 0.2713, 0.2664, -0.0108, -0.0102, 0.0199, 0.020300000000000002, 0.0328, 0.0332, 0.23650000000000002, 0.24080000000000001, 0.0269, 0.023, 0.3008, 0.298, 0.30560000000000004, 0.2982, 0.1091, 0.1115, 0.2696, 0.2863, -0.0095, -0.0095, -0.1696, -0.161, 0.1499, 0.1501, 0.1097, 0.14830000000000002, 0.038700000000000005, -0.1691, 0.1507, 0.047, -0.0023, 0.1474, 0.0239, 0.0119, 0.16540000000000002, 0.0651, 0.1197, -0.09530000000000001, -0.17370000000000002, 0.18100000000000002, 0.1451, 0.1578, -0.1797, 0.14120000000000002, 0.0514, -0.18100000000000002, 0.13820000000000002, 0.0529, 0.0171, 0.116, 0.0679, 0.007500000000000001, -0.1487, 0.0155, 0.18530000000000002, -0.1665, -0.17850000000000002, 0.1835, 0.13470000000000001, 0.1718, -0.15810000000000002, 0.12340000000000001, 0.049800000000000004, -0.15510000000000002, 0.0309, 0.048, -0.015000000000000001, -0.0789, -0.1203, -0.0356, -0.18530000000000002, -0.1665, 0.1983, -0.1862, -0.17880000000000001, 0.0067, 0.09920000000000001, 0.0086, -0.1515, 0.0009000000000000001, 0.0454, 0.0041, -0.09280000000000001, 0.0066, -0.048, 0.0098, -0.1715, 0.0026000000000000003, -0.188, 0.0098, 0.20170000000000002, 0.0009000000000000001], "bitstrings": ["111100101", "110100101"], "total_optimization_steps": 30, "probabilities": [0.16252060283937747, 0.3083409807867623], "optimization_time": 15.307172536849976}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(2) + -0.5 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(8) + -0.5 * Z(6) + -0.5 * Z(7)
13
9
4
{"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110101", "001110011", "101100101", "101100011", "110001110", "110001101", "110100011", "110001011", "110100101"], "largest_eigenvalue": 9.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; ry(-1.6494726613948478) q[0]; rz(-pi) q[0]; rz(-pi) q[1]; ry(-0.2282545894292129) q[1]; rz(-pi) q[2]; ry(-1.5758659650345728) q[2]; h q[3]; ry(63.96144940718184) q[3]; cx q[3], q[1]; ry(-3.5090997176923766) q[1]; cx q[3], q[1]; ry(5.855094360550592) q[3]; cx q[1], q[3]; ry(-5.855094360550592) q[3]; cx q[1], q[3]; h q[4]; ry(0.010904262759300037) q[4]; ry(-1.9736998488840647) q[5]; rz(-pi) q[5]; h q[6]; ry(-0.06345413626809843) q[6]; cx q[1], q[6]; ry(0.06345413626809843) q[6]; cx q[1], q[6]; ry(0.23798672403220897) q[6]; cx q[3], q[6]; ry(-0.23798672403220897) q[6]; cx q[3], q[6]; ry(-0.15604226084345005) q[6]; ry(0.2308963258280674) q[3]; h q[7]; ry(1.5633390008792403) q[7]; cx q[7], q[6]; ry(0.15604226084345005) q[6]; cx q[7], q[6]; cx q[7], q[0]; ry(-0.14742877763746726) q[0]; cx q[7], q[0]; cx q[7], q[3]; ry(-0.2308963258280674) q[3]; cx q[7], q[3]; cx q[7], q[2]; ry(1.6353781555875142) q[2]; cx q[7], q[2]; cx q[7], q[5]; ry(-8.43739499145084) q[5]; cx q[7], q[5]; ry(-0.27985304568883573) q[5]; cx q[1], q[5]; ry(0.27985304568883573) q[5]; cx q[1], q[5]; cx q[5], q[4]; ry(-0.010904262759300037) q[4]; cx q[5], q[4]; ry(0.2812263182602675) q[2]; ry(-0.6417753416579149) q[4]; cx q[7], q[4]; ry(0.46594605344228923) q[4]; cx q[7], q[4]; ry(0.028721897841469043) q[4]; cx q[1], q[4]; ry(-0.028721897841469043) q[4]; cx q[1], q[4]; ry(-0.06819221625856652) q[4]; cx q[3], q[4]; ry(0.06819221625856652) q[4]; cx q[3], q[4]; ry(18.02163452141189) q[1]; ry(0.3130961016971821) q[6]; cx q[0], q[6]; ry(0.041122649775175046) q[6]; cx q[0], q[6]; ry(-0.0596848745822576) q[6]; ry(-0.7324800524321522) q[0]; h q[8]; ry(-0.03658713878539129) q[8]; cx q[5], q[8]; ry(0.03658713878539129) q[8]; cx q[5], q[8]; ry(1.291898674648894) q[5]; cx q[3], q[5]; ry(-1.291898674648894) q[5]; cx q[3], q[5]; cx q[5], q[2]; ry(-0.2812263182602675) q[2]; cx q[5], q[2]; cx q[2], q[6]; ry(0.0596848745822576) q[6]; cx q[2], q[6]; ry(-0.8961389862641918) q[5]; cx q[2], q[5]; ry(0.8961389862641918) q[5]; cx q[2], q[5]; ry(-0.34553146747762886) q[8]; cx q[7], q[8]; ry(0.34553146747762886) q[8]; cx q[7], q[8]; ry(1.2033133236890048) q[8]; cx q[3], q[8]; ry(-1.2033133236890048) q[8]; cx q[3], q[8]; cx q[3], q[0]; ry(0.7324800524321522) q[0]; cx q[3], q[0]; ry(0.150952832098815) q[6]; cx q[8], q[6]; ry(-0.150952832098815) q[6]; cx q[8], q[6]; ry(-0.2929930814212171) q[6]; cx q[4], q[6]; ry(0.2929930814212171) q[6]; cx q[4], q[6]; ry(-0.23414355832803724) q[4]; cx q[2], q[4]; ry(0.23414355832803724) q[4]; cx q[2], q[4]; ry(0.0488331900304181) q[2]; cx q[3], q[2]; ry(-0.0488331900304181) q[2]; cx q[3], q[2]; ry(-0.5975300935750827) q[5]; cx q[8], q[5]; ry(0.5975300935750827) q[5]; cx q[8], q[5]; cx q[8], q[1]; ry(-1.0028195632548162) q[6]; cx q[5], q[6]; ry(1.0028195632548162) q[6]; cx q[5], q[6]; ry(-18.02163452141189) q[1]; cx q[8], q[1]; ry(-2.253707622808787) q[1]; cx q[7], q[1]; ry(2.253707622808787) q[1]; cx q[7], q[1]; ry(-0.47303709862117255) q[1]; cx q[2], q[1]; ry(0.47303709862117255) q[1]; cx q[2], q[1]; ry(0.31770988494973523) q[0]; cx q[2], q[0]; ry(-0.31770988494973523) q[0]; cx q[2], q[0]; ry(-0.09082726613424441) q[0]; cx q[5], q[0]; ry(0.09082726613424441) q[0]; cx q[5], q[0]; ry(0.02889673255438467) q[5]; cx q[0], q[5]; ry(-0.02889673255438467) q[5]; cx q[0], q[5]; ry(0.47188564338532013) q[1]; cx q[5], q[1]; ry(-0.47188564338532013) q[1]; cx q[5], q[1]; ry(-0.4843577386304495) q[1]; cx q[4], q[1]; ry(0.4843577386304495) q[1]; cx q[4], q[1]; ry(-0.08482188159138657) q[3]; cx q[5], q[3]; ry(0.08482188159138657) q[3]; cx q[5], q[3]; ry(0.5487582243126947) q[2]; cx q[8], q[2]; ry(-0.5487582243126947) q[2]; cx q[8], q[2]; ry(1.1422014095241007) q[0]; cx q[8], q[0]; ry(-1.1422014095241007) q[0]; cx q[8], q[0]; ry(-0.10683767030857835) q[1]; cx q[0], q[1]; ry(0.10683767030857835) q[1]; cx q[0], q[1]; ry(-0.453437340333392) q[2]; cx q[0], q[2]; ry(0.453437340333392) q[2]; cx q[0], q[2]; ry(-0.031990471868133565) q[4]; cx q[0], q[4]; ry(0.031990471868133565) q[4]; cx q[0], q[4]; ry(0.10071730603433758) q[3]; cx q[0], q[3]; ry(-0.10071730603433758) q[3]; cx q[0], q[3]; ry(-1.6602351669299218) q[8]; cx q[0], q[8]; ry(1.6602351669299218) q[8]; cx q[0], q[8]; ry(0.3857979791001425) q[0]; cx q[4], q[0]; ry(-0.3857979791001425) q[0]; cx q[4], q[0]; ry(-0.3195640598676801) q[1]; cx q[6], q[1]; ry(0.3195640598676801) q[1]; cx q[6], q[1]; ry(-0.24117594818305788) q[5]; cx q[6], q[5]; ry(0.24117594818305788) q[5]; cx q[6], q[5]; ry(1.9524002868436645) q[7]; cx q[5], q[7]; ry(-1.9524002868436645) q[7]; cx q[5], q[7]; ry(0.2339887153311408) q[0]; cx q[6], q[0]; ry(-0.2339887153311408) q[0]; cx q[6], q[0]; ry(0.47404851485705474) q[3]; cx q[6], q[3]; ry(-0.47404851485705474) q[3]; cx q[6], q[3]; ry(-0.1962570409297249) q[4]; cx q[8], q[4]; ry(0.1962570409297249) q[4]; cx q[8], q[4]; ry(0.19237159132237372) q[8]; cx q[2], q[8]; ry(-0.19237159132237372) q[8]; cx q[2], q[8]; ry(-0.12838189612585227) q[2]; cx q[1], q[2]; ry(0.12838189612585227) q[2]; cx q[1], q[2]; ry(-1.4411090137948483) q[0]; cx q[1], q[0]; ry(1.4411090137948483) q[0]; cx q[1], q[0]; ry(-0.051524229639248326) q[3]; cx q[2], q[3]; ry(0.051524229639248326) q[3]; cx q[2], q[3]; ry(0.27257045619207276) q[7]; cx q[2], q[7]; ry(-0.27257045619207276) q[7]; cx q[2], q[7]; ry(0.3916734532466928) q[7]; cx q[3], q[7]; ry(-0.3916734532466928) q[7]; cx q[3], q[7]; ry(-0.17351775865967212) q[7]; cx q[0], q[7]; ry(0.17351775865967212) q[7]; cx q[0], q[7]; ry(0.6068036048767891) q[7]; cx q[1], q[7]; ry(-0.6068036048767891) q[7]; cx q[1], q[7]; ry(0.4990919289541105) q[7]; cx q[8], q[7]; ry(-0.4990919289541105) q[7]; cx q[8], q[7]; ry(-0.43397122960326157) q[7]; cx q[4], q[7]; ry(0.43397122960326157) q[7]; cx q[4], q[7]; ry(-0.554942401025963) q[3]; ry(0.1952195802312891) q[2]; ry(0.5357978087053215) q[5]; ry(0.23798672403220897) q[7]; ry(-0.5182165535943738) q[8]; cx q[8], q[3]; ry(0.554942401025963) q[3]; cx q[8], q[3]; ry(0.29979877319032394) q[8]; cx q[1], q[8]; ry(-0.29979877319032394) q[8]; cx q[1], q[8]; ry(0.26628985847964776) q[3]; cx q[4], q[3]; ry(-0.26628985847964776) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(-0.1952195802312891) q[2]; cx q[4], q[2]; ry(-0.5947829924944256) q[4]; cx q[6], q[4]; ry(0.5947829924944256) q[4]; cx q[6], q[4]; cx q[4], q[5]; ry(-0.5357978087053215) q[5]; cx q[4], q[5]; ry(-0.13043657050652346) q[8]; cx q[4], q[8]; ry(0.13043657050652346) q[8]; cx q[4], q[8]; ry(-0.17578265716161207) q[2]; cx q[6], q[2]; ry(0.17578265716161207) q[2]; cx q[6], q[2]; cx q[6], q[7]; ry(-0.23798672403220897) q[7]; cx q[6], q[7]; ry(-0.04198916908713467) q[8]; cx q[6], q[8]; ry(0.04198916908713467) q[8]; cx q[6], q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x121; input float[64] x122; input float[64] x123; input float[64] x124; input float[64] x125; input float[64] x126; input float[64] x127; input float[64] x128; input float[64] x129; input float[64] x13; input float[64] x130; input float[64] x131; input float[64] x132; input float[64] x133; input float[64] x134; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[9] c; qubit[9] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; crz(x9) q[8], q[0]; crz(x10) q[7], q[8]; crz(x11) q[6], q[7]; crz(x0) q[5], q[6]; crz(x12) q[4], q[5]; crz(x13) q[3], q[4]; crz(x14) q[2], q[3]; crz(x15) q[1], q[2]; crz(x16) q[0], q[1]; ry(x17) q[0]; ry(x18) q[1]; ry(x19) q[2]; ry(x20) q[3]; ry(x21) q[4]; ry(x22) q[5]; ry(x23) q[6]; ry(x24) q[7]; ry(x25) q[8]; crz(x26) q[8], q[7]; crz(x27) q[0], q[8]; crz(x28) q[0], q[1]; crz(x29) q[1], q[2]; crz(x30) q[2], q[3]; crz(x31) q[3], q[4]; crz(x32) q[4], q[5]; crz(x33) q[5], q[6]; crz(x34) q[6], q[7]; ry(x35) q[0]; ry(x36) q[1]; ry(x37) q[2]; ry(x38) q[3]; ry(x39) q[4]; ry(x40) q[5]; ry(x41) q[6]; ry(x7) q[7]; ry(x42) q[8]; crz(x43) q[8], q[0]; crz(x44) q[7], q[8]; crz(x45) q[6], q[7]; crz(x46) q[5], q[6]; crz(x47) q[4], q[5]; crz(x48) q[3], q[4]; crz(x49) q[2], q[3]; crz(x50) q[1], q[2]; crz(x51) q[0], q[1]; ry(x52) q[0]; ry(x53) q[1]; ry(x54) q[2]; ry(x55) q[3]; ry(x56) q[4]; ry(x57) q[5]; ry(x58) q[6]; ry(x59) q[7]; ry(x60) q[8]; crz(x61) q[8], q[7]; crz(x62) q[0], q[8]; crz(x63) q[0], q[1]; crz(x64) q[1], q[2]; crz(x65) q[2], q[3]; crz(x66) q[3], q[4]; crz(x67) q[4], q[5]; crz(x68) q[5], q[6]; crz(x69) q[6], q[7]; ry(x70) q[0]; ry(x71) q[1]; ry(x72) q[2]; ry(x73) q[3]; ry(x74) q[4]; ry(x75) q[5]; ry(x76) q[6]; ry(x77) q[7]; ry(x78) q[8]; crz(x79) q[8], q[0]; crz(x80) q[7], q[8]; crz(x81) q[6], q[7]; crz(x82) q[5], q[6]; crz(x83) q[4], q[5]; crz(x84) q[3], q[4]; crz(x85) q[2], q[3]; crz(x86) q[1], q[2]; crz(x87) q[0], q[1]; ry(x88) q[0]; ry(x89) q[1]; ry(x90) q[2]; ry(x91) q[3]; ry(x92) q[4]; ry(x74) q[5]; ry(x93) q[6]; ry(x94) q[7]; ry(x95) q[8]; crz(x96) q[8], q[7]; crz(x97) q[0], q[8]; crz(x98) q[0], q[1]; crz(x99) q[1], q[2]; crz(x100) q[2], q[3]; crz(x101) q[3], q[4]; crz(x102) q[4], q[5]; crz(x69) q[5], q[6]; crz(x103) q[6], q[7]; ry(x35) q[0]; ry(x104) q[1]; ry(x105) q[2]; ry(x106) q[3]; ry(x107) q[4]; ry(x108) q[5]; ry(x109) q[6]; ry(x110) q[7]; ry(x111) q[8]; crz(x112) q[8], q[0]; crz(x113) q[7], q[8]; crz(x114) q[6], q[7]; crz(x115) q[5], q[6]; crz(x116) q[4], q[5]; crz(x117) q[3], q[4]; crz(x118) q[2], q[3]; crz(x119) q[1], q[2]; crz(x120) q[0], q[1]; ry(x121) q[0]; ry(x122) q[1]; ry(x123) q[2]; ry(x124) q[3]; ry(x22) q[4]; ry(x125) q[5]; ry(x126) q[6]; ry(x127) q[7]; ry(x111) q[8]; crz(x128) q[8], q[7]; crz(x129) q[0], q[8]; crz(x130) q[0], q[1]; crz(x131) q[1], q[2]; crz(x132) q[2], q[3]; crz(x133) q[3], q[4]; crz(x134) q[4], q[5]; crz(x133) q[5], q[6]; crz(x130) q[6], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"circuits": [], "gradients": []}
[ "IIIIIIZIZ", "IIIIZIIIZ", "IIIIIIZZI", "IIIIIZIZI", "IIIZIZIII", "ZIIZIIIII", "ZIZIIIIII", "ZZIIIIIII", "IZZIIIIII", "IIIIIIZII", "IIIIIIIIZ", "IIIIZIIII", "IIIIIIIZI", "IIIIIZIII", "IIIZIIIII", "ZIIIIIIII", "IIZIIIIII", "IZIIIIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -0.5, -0.5, 0, -0.5, -0.5, -0.5, -1, -0.5, -0.5 ]
0.972058
[ 63.806887745058965, 17.338271785296804, 63.96144940718184, 7.018199435384753, 11.710188721101185, 4.5318791449975, 1.5633390008792403, -0.12690827253619685, 0.47597344806441794, -0.3120845216869001, 0.35421875147235715, -0.06875244303751611, 0.2948575552749345, -0.08224529955035009, 0.46...
{ "n_parameters": 80, "n_qubits": 9, "optimal_eigenvalue": -71, "target_ratio": 0.97, "target_value": -68.87 }
121
7201704138146815142
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 5, 6, 9, 11], [1, 3, 4, 6], [0, 3, 4, 5, 8, 9, 10], [3, 5, 6, 10, 11], [0, 1, 2, 4, 6, 7, 8, 9, 11], [4, 7, 8, 9, 10], [1, 4, 5, 7, 9, 10], [0, 9, 3, 7], [0, 1, 3, 4, 5, 7, 8, 10, 11], [1, 2, 4, 5, 7, 8, 9], [2, 11, 5, 7], [2, 3, 4, 5, 7, 8, 9], [1, 3, 6, 7, 8, 9, 10], [9, 10, 11, 6], [2, 3, 4, 5, 9, 10, 11], [8, 1, 5, 6], [2, 5, 6], [5, 6, 7, 8, 9, 10], [0, 2, 4, 5, 7, 8], [0, 1, 3, 5, 6, 9, 10]]}
{"states": [3068, 509], "expectation_value": -3.0731221264482453, "params": [[[1.5738, 1.4205], [0.0218, 1.4121000000000001], [-1.5876000000000001, 1.5477], [-0.030000000000000002, 1.5986], [0.1676, 0.1208], [0.4521, 0.24500000000000002], [0.2805, 0.7566], [0.6703, 0.2685], [0.6828000000000001, 0.5844], [0.6792, 0.9018], [0.9841000000000001, -0.9026000000000001], [1.2421, 1.7629000000000001]]], "bitstrings": ["010000000011", "111000000010"], "total_optimization_steps": 210, "probabilities": [0.08609962978211515, 0.08641566428540824], "optimization_time": 14.397480249404907}
0.07539682539682539 * (Z(0) @ Z(1)) + 0.16865079365079363 * (Z(3) @ Z(1)) + 0.16865079365079363 * (Z(3) @ Z(0)) + 0.20198412698412696 * (Z(5) @ Z(1)) + 0.11865079365079365 * (Z(5) @ Z(0)) + 0.18293650793650792 * (Z(5) @ Z(3)) + 0.251984126984127 * (Z(6) @ Z(1)) + 0.061507936507936505 * (Z(6) @ Z(0)) + 0.20476190476190476 * (Z(6) @ Z(3)) + 0.38095238095238093 * (Z(6) @ Z(5)) + 0.14246031746031745 * (Z(9) @ Z(1)) + 0.16865079365079363 * (Z(9) @ Z(0)) + 0.22619047619047616 * (Z(9) @ Z(3)) + 0.2095238095238095 * (Z(9) @ Z(5)) + 0.20198412698412696 * (Z(9) @ Z(6)) + 0.051587301587301584 * (Z(11) @ Z(1)) + 0.051587301587301584 * (Z(11) @ Z(0)) + 0.1115079365079365 * (Z(11) @ Z(3)) + 0.19484126984126984 * (Z(11) @ Z(5)) + 0.17103174603174603 * (Z(11) @ Z(6)) + 0.14484126984126983 * (Z(11) @ Z(9)) + 0.16825396825396824 * (Z(4) @ Z(1)) + 0.08492063492063492 * (Z(4) @ Z(0)) + 0.16865079365079363 * (Z(4) @ Z(3)) + 0.17579365079365078 * (Z(4) @ Z(5)) + 0.09722222222222221 * (Z(4) @ Z(6)) + 0.19246031746031744 * (Z(4) @ Z(9)) + 0.051587301587301584 * (Z(4) @ Z(11)) + 0.15873015873015872 * (Z(8) @ Z(1)) + 0.08492063492063492 * (Z(8) @ Z(0)) + 0.08531746031746032 * (Z(8) @ Z(3)) + 0.23531746031746031 * (Z(8) @ Z(5)) + 0.15436507936507934 * (Z(8) @ Z(6)) + 0.19246031746031744 * (Z(8) @ Z(9)) + 0.027777777777777776 * (Z(8) @ Z(11)) + 0.18253968253968253 * (Z(8) @ Z(4)) + 0.09484126984126984 * (Z(10) @ Z(1)) + 0.061507936507936505 * (Z(10) @ Z(0)) + 0.15912698412698412 * (Z(10) @ Z(3)) + 0.201984126984127 * (Z(10) @ Z(5)) + 0.21428571428571427 * (Z(10) @ Z(6)) + 0.2952380952380953 * (Z(10) @ Z(9)) + 0.171031746031746 * (Z(10) @ Z(11)) + 0.14484126984126985 * (Z(10) @ Z(4)) + 0.14484126984126983 * (Z(10) @ Z(8)) + 0.037698412698412696 * (Z(2) @ Z(1)) + 0.04722222222222222 * (Z(2) @ Z(0)) + 0.047619047619047616 * (Z(2) @ Z(3)) + 0.3547619047619047 * (Z(2) @ Z(5)) + 0.18055555555555555 * (Z(2) @ Z(6)) + 0.08531746031746032 * (Z(2) @ Z(9)) + 0.12103174603174602 * (Z(2) @ Z(11)) + 0.11865079365079365 * (Z(2) @ Z(4)) + 0.09484126984126984 * (Z(2) @ Z(8)) + 0.023809523809523808 * (Z(2) @ Z(10)) + 0.10873015873015873 * (Z(7) @ Z(1)) + 0.14444444444444443 * (Z(7) @ Z(0)) + 0.14484126984126983 * (Z(7) @ Z(3)) + 0.24484126984126983 * (Z(7) @ Z(5)) + 0.07103174603174603 * (Z(7) @ Z(6)) + 0.2853174603174603 * (Z(7) @ Z(9)) + 0.1111111111111111 * (Z(7) @ Z(11)) + 0.19206349206349205 * (Z(7) @ Z(4)) + 0.21587301587301586 * (Z(7) @ Z(8)) + 0.15436507936507937 * (Z(7) @ Z(10)) + 0.17817460317460315 * (Z(7) @ Z(2)) + 0.7301587301587307 * Z(1) + 0.5337301587301587 * Z(0) + 0.8341269841269838 * Z(3) + 1.250793650793651 * Z(5) + 0.9948412698412697 * Z(6) + 1.0722222222222224 * Z(9) + 0.6039682539682539 * Z(11) + 0.7884920634920634 * Z(4) + 0.7884920634920635 * Z(8) + 0.8329365079365079 * Z(10) + 0.64484126984127 * Z(2) + 0.9253968253968253 * Z(7)
15
12
1
{"smallest_eigenvalues": [-4.121428571428572], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.978571428571428, "smallest_bitstrings": ["111000000010"], "largest_eigenvalue": 20.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[12] q; ry(1.5706332458164611) q[0]; ry(1.5690230348972685) q[1]; ry(-1.5704157195883683) q[2]; ry(4.224458990762288e-05) q[3]; ry(0.0012129924223310009) q[4]; ry(0.0007201264768723946) q[5]; ry(-0.0003661423595658158) q[6]; ry(0.004876285782776703) q[7]; ry(0.005660678408444517) q[8]; ry(0.013741358640521301) q[9]; ry(1.437929394016919) q[10]; ry(1.5686708716649762) q[11]; cx q[11], q[0]; cx q[10], q[11]; ry(1.566972154280144) q[11]; cx q[9], q[10]; ry(-1.436692765226061) q[10]; cx q[11], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(1.5711792874143373) q[0]; cx q[0], q[11]; ry(1.5704512332113485) q[1]; cx q[0], q[1]; ry(1.57111513477885) q[2]; cx q[1], q[2]; ry(1.5713633969589822) q[3]; cx q[2], q[3]; ry(-0.001257727071444273) q[4]; cx q[3], q[4]; ry(-0.0006978578024437842) q[5]; cx q[4], q[5]; ry(-0.0007792838422392978) q[6]; cx q[5], q[6]; ry(-0.004190846312279097) q[7]; cx q[6], q[7]; ry(-0.02504871029429042) q[8]; cx q[7], q[8]; ry(3.145640428230034) q[9]; cx q[8], q[9]; cx q[9], q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; ry(x11) q[11]; cx q[11], q[0]; cx q[10], q[11]; cx q[9], q[10]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x12) q[0]; ry(x13) q[1]; ry(x14) q[2]; ry(x15) q[3]; ry(x16) q[4]; ry(x17) q[5]; ry(x18) q[6]; ry(x19) q[7]; ry(x20) q[8]; ry(x21) q[9]; ry(x22) q[10]; ry(x23) q[11]; cx q[11], q[10]; cx q[0], q[11]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; cx q[8], q[9]; cx q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIIIIZZ", "IIIIIIIIZIZI", "IIIIIIIIZIIZ", "IIIIIIZIIIZI", "IIIIIIZIIIIZ", "IIIIIIZIZIII", "IIIIIZIIIIZI", "IIIIIZIIIIIZ", "IIIIIZIIZIII", "IIIIIZZIIIII", "IIZIIIIIIIZI", "IIZIIIIIIIIZ", "IIZIIIIIZIII", "IIZIIIZIIIII", "IIZIIZIIIIII", "ZIIIIIIIIIZI", "ZIIIIIIIIIIZ", "ZIIIIIIIZ...
[ 0.07539682539682539, 0.16865079365079363, 0.16865079365079363, 0.20198412698412696, 0.11865079365079365, 0.18293650793650792, 0.251984126984127, 0.061507936507936505, 0.20476190476190476, 0.38095238095238093, 0.14246031746031745, 0.16865079365079363, 0.22619047619047616, 0.2095238095238095...
0.872513
[ 1.5706332458164611, 1.5690230348972685, -1.5704157195883683, 0.00004224458990762288, 0.0012129924223310009, 0.0007201264768723946, -0.0003661423595658158, 0.004876285782776703, 0.005660678408444517, 0.013741358640521301, 1.437929394016919, 1.5686708716649762, 1.5711792874143373, 1.57045123...
{ "n_parameters": 24, "n_qubits": 12, "optimal_eigenvalue": -4.121428571428572, "target_ratio": 0.97, "target_value": -3.9977857142857145 }
500
6240facbcac03ac60847995c8221b912
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 8}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 2, "target": 8}, {"capacity": 2, "source": 3, "target": 7}, {"capacity": 3, "source": 4, "target": 5}, {"capacity": 1, "source": 4, "target": 6}, {"capacity": 1, "source": 4, "target": 8}, {"capacity": 2, "source": 5, "target": 2}, {"capacity": 3, "source": 6, "target": 1}, {"capacity": 3, "source": 6, "target": 5}, {"capacity": 2, "source": 7, "target": 2}]}
{"states": [510, 255], "expectation_value": -0.7998581513762016, "params": [[0.055600000000000004, 0.056400000000000006, -0.0534], [-0.055, -0.0616, -0.0022]], "bitstrings": ["000000001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003205375084983591, 0.003403173319912987], "optimization_time": 6.0089380741119385}
-0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -2.5 * Z(5) + 0.5 * Z(1) + 0.25 * Z(3) + -0.25 * Z(8) + 0.5 * Z(4) + 0.0 * Z(7) + 1.25 * Z(6)
1
9
3
{"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 10.75}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; h q[0]; h q[1]; h q[2]; cx q[2], q[0]; rz(-0.0046977098774302496) q[0]; cx q[2], q[0]; h q[3]; h q[4]; h q[5]; cx q[2], q[5]; rz(0.012269863936092744) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(0.01562822642382422) q[5]; cx q[0], q[5]; cx q[5], q[1]; rz(0.013100666109334625) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(0.01562822642382422) q[3]; cx q[1], q[3]; h q[6]; h q[7]; h q[8]; cx q[2], q[8]; rz(0.013100666109334625) q[8]; cx q[2], q[8]; cx q[0], q[8]; cx q[2], q[4]; rz(0.013100666109334625) q[4]; cx q[2], q[4]; cx q[2], q[7]; cx q[5], q[4]; rz(0.013100666109334625) q[4]; cx q[5], q[4]; cx q[5], q[6]; rz(0.013100666109334625) q[6]; cx q[5], q[6]; rz(1.5825548729034598) q[5]; rx(-1.538693100576994) q[5]; rz(-0.0046977098774302496) q[7]; cx q[2], q[7]; rz(1.636015354629162) q[2]; rx(-1.538693100576994) q[2]; cx q[3], q[7]; rz(-0.0046977098774302496) q[7]; cx q[3], q[7]; rz(1.6537585943579423) q[3]; rx(-1.5386931005769937) q[3]; rz(2.153860546154924) q[7]; rx(-1.5386931005769937) q[7]; rz(0.5369349309225615) q[8]; cx q[0], q[8]; rz(0.01562822642382411) q[0]; rx(-1.538693100576994) q[0]; cx q[1], q[8]; cx q[2], q[0]; rz(1.3642954316225193) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(0.016598763102727992) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(-0.5286694379827523) q[5]; cx q[0], q[5]; rz(0.01562822642382422) q[8]; cx q[1], q[8]; cx q[1], q[6]; rz(0.013100666109334625) q[6]; cx q[1], q[6]; rz(1.636015354629162) q[1]; rx(-1.538693100576994) q[1]; cx q[5], q[1]; rz(-0.9619380220408561) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(-0.5286694379827523) q[3]; cx q[1], q[3]; cx q[8], q[4]; rz(0.01562822642382422) q[4]; cx q[8], q[4]; cx q[4], q[6]; rz(0.01562822642382422) q[6]; cx q[4], q[6]; rz(1.636015354629162) q[4]; rx(-1.538693100576994) q[4]; rz(1.4736137931055673) q[6]; rx(-1.5386931005769937) q[6]; rz(0.01562822642382411) q[8]; rx(-1.538693100576994) q[8]; cx q[2], q[8]; rz(-0.9619380220408561) q[8]; cx q[2], q[8]; cx q[0], q[8]; cx q[2], q[4]; rz(-0.9619380220408561) q[4]; cx q[2], q[4]; cx q[2], q[7]; cx q[5], q[4]; rz(-0.9619380220408561) q[4]; cx q[5], q[4]; cx q[5], q[6]; rz(-0.9619380220408561) q[6]; cx q[5], q[6]; rz(-1.436017214530822) q[5]; rx(-0.682405500643411) q[5]; rz(1.3642954316225193) q[7]; cx q[2], q[7]; rz(-0.884976959866167) q[2]; rx(-0.6824055006434109) q[2]; cx q[3], q[7]; rz(1.3642954316225193) q[7]; cx q[3], q[7]; rz(0.3663026959793938) q[3]; rx(-0.6824055006434109) q[3]; rz(2.153860546154924) q[7]; rx(-0.682405500643411) q[7]; rz(0.31889985013661193) q[8]; cx q[0], q[8]; rz(-0.5286694379827526) q[0]; rx(-0.682405500643411) q[0]; cx q[1], q[8]; cx q[2], q[0]; rz(0.3359732864978821) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(-0.18687581587484814) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(0.029007945278969063) q[5]; cx q[0], q[5]; rz(-0.5286694379827523) q[8]; cx q[1], q[8]; cx q[1], q[6]; rz(-0.9619380220408561) q[6]; cx q[1], q[6]; rz(-0.884976959866167) q[1]; rx(-0.6824055006434109) q[1]; cx q[5], q[1]; rz(-0.02497389094846444) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(0.029007945278969063) q[3]; cx q[1], q[3]; cx q[8], q[4]; rz(-0.5286694379827523) q[4]; cx q[8], q[4]; cx q[4], q[6]; rz(-0.5286694379827523) q[6]; cx q[4], q[6]; rz(-0.884976959866167) q[4]; rx(-0.6824055006434109) q[4]; rz(0.6119459785322743) q[6]; rx(-0.6824055006434109) q[6]; rz(-0.5286694379827526) q[8]; rx(-0.682405500643411) q[8]; cx q[2], q[8]; rz(-0.02497389094846444) q[8]; cx q[2], q[8]; cx q[0], q[8]; cx q[2], q[4]; rz(-0.02497389094846444) q[4]; cx q[2], q[4]; cx q[2], q[7]; cx q[5], q[4]; rz(-0.02497389094846444) q[4]; cx q[5], q[4]; cx q[5], q[6]; rz(-0.02497389094846444) q[6]; cx q[5], q[6]; rz(-0.3237724124138843) q[5]; rx(0.7419997156592435) q[5]; rz(0.3359732864978821) q[7]; cx q[2], q[7]; rz(-0.01869643800890497) q[2]; rx(0.7419997156592434) q[2]; cx q[3], q[7]; rz(0.3359732864978821) q[7]; cx q[3], q[7]; rz(0.3443443860394626) q[3]; rx(0.7419997156592435) q[3]; rz(2.153860546154924) q[7]; rx(0.7419997156592437) q[7]; rz(-2.9655859211213333) q[8]; cx q[0], q[8]; rz(0.029007945278968883) q[0]; rx(0.7419997156592436) q[0]; cx q[1], q[8]; rz(0.029007945278969063) q[8]; cx q[1], q[8]; cx q[1], q[6]; rz(-0.02497389094846444) q[6]; cx q[1], q[6]; rz(-0.01869643800890497) q[1]; rx(0.7419997156592434) q[1]; cx q[8], q[4]; rz(0.029007945278969063) q[4]; cx q[8], q[4]; cx q[4], q[6]; rz(0.029007945278969063) q[6]; cx q[4], q[6]; rz(-0.01869643800890497) q[4]; rx(0.7419997156592434) q[4]; rz(0.06818402597608308) q[6]; rx(0.7419997156592435) q[6]; rz(0.029007945278968883) q[8]; rx(0.7419997156592436) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(x1) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(x2) q[5]; cx q[0], q[5]; cx q[5], q[1]; rz(x3) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(x2) q[3]; cx q[1], q[3]; cx q[2], q[8]; rz(x3) q[8]; cx q[2], q[8]; cx q[0], q[8]; rz(x4) q[8]; cx q[0], q[8]; cx q[1], q[8]; rz(x2) q[8]; cx q[1], q[8]; cx q[2], q[4]; rz(x3) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(x3) q[4]; cx q[5], q[4]; cx q[8], q[4]; rz(x2) q[4]; cx q[8], q[4]; cx q[2], q[7]; rz(x0) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x0) q[7]; cx q[3], q[7]; cx q[5], q[6]; rz(x3) q[6]; cx q[5], q[6]; cx q[1], q[6]; rz(x3) q[6]; cx q[1], q[6]; cx q[4], q[6]; rz(x2) q[6]; cx q[4], q[6]; rz(x5) q[2]; rz(x2) q[0]; rz(x6) q[5]; rz(x5) q[1]; rz(x7) q[3]; rz(x2) q[8]; rz(x5) q[4]; rz(x8) q[7]; rz(x9) q[6]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; h q[7]; rz(x10) q[7]; h q[7]; h q[8]; rz(x10) q[8]; h q[8]; cx q[2], q[0]; rz(x11) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(x12) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(x13) q[5]; cx q[0], q[5]; cx q[5], q[1]; rz(x14) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(x13) q[3]; cx q[1], q[3]; cx q[2], q[8]; rz(x14) q[8]; cx q[2], q[8]; cx q[0], q[8]; rz(x15) q[8]; cx q[0], q[8]; cx q[1], q[8]; rz(x13) q[8]; cx q[1], q[8]; cx q[2], q[4]; rz(x14) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(x14) q[4]; cx q[5], q[4]; cx q[8], q[4]; rz(x13) q[4]; cx q[8], q[4]; cx q[2], q[7]; rz(x11) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x11) q[7]; cx q[3], q[7]; cx q[5], q[6]; rz(x14) q[6]; cx q[5], q[6]; cx q[1], q[6]; rz(x14) q[6]; cx q[1], q[6]; cx q[4], q[6]; rz(x13) q[6]; cx q[4], q[6]; rz(x16) q[2]; rz(x13) q[0]; rz(x17) q[5]; rz(x16) q[1]; rz(x18) q[3]; rz(x13) q[8]; rz(x16) q[4]; rz(x8) q[7]; rz(x19) q[6]; h q[0]; rz(x20) q[0]; h q[0]; h q[1]; rz(x20) q[1]; h q[1]; h q[2]; rz(x20) q[2]; h q[2]; h q[3]; rz(x20) q[3]; h q[3]; h q[4]; rz(x20) q[4]; h q[4]; h q[5]; rz(x20) q[5]; h q[5]; h q[6]; rz(x20) q[6]; h q[6]; h q[7]; rz(x20) q[7]; h q[7]; h q[8]; rz(x20) q[8]; h q[8]; cx q[2], q[0]; rz(x21) q[0]; cx q[2], q[0]; cx q[2], q[5]; rz(x22) q[5]; cx q[2], q[5]; cx q[0], q[5]; rz(x23) q[5]; cx q[0], q[5]; cx q[5], q[1]; rz(x24) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(x23) q[3]; cx q[1], q[3]; cx q[2], q[8]; rz(x24) q[8]; cx q[2], q[8]; cx q[0], q[8]; rz(x25) q[8]; cx q[0], q[8]; cx q[1], q[8]; rz(x23) q[8]; cx q[1], q[8]; cx q[2], q[4]; rz(x24) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(x24) q[4]; cx q[5], q[4]; cx q[8], q[4]; rz(x23) q[4]; cx q[8], q[4]; cx q[2], q[7]; rz(x21) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x21) q[7]; cx q[3], q[7]; cx q[5], q[6]; rz(x24) q[6]; cx q[5], q[6]; cx q[1], q[6]; rz(x24) q[6]; cx q[1], q[6]; cx q[4], q[6]; rz(x23) q[6]; cx q[4], q[6]; rz(x26) q[2]; rz(x23) q[0]; rz(x27) q[5]; rz(x26) q[1]; rz(x28) q[3]; rz(x23) q[8]; rz(x26) q[4]; rz(x8) q[7]; rz(x29) q[6]; h q[0]; rz(x30) q[0]; h q[0]; h q[1]; rz(x30) q[1]; h q[1]; h q[2]; rz(x30) q[2]; h q[2]; h q[3]; rz(x30) q[3]; h q[3]; h q[4]; rz(x30) q[4]; h q[4]; h q[5]; rz(x30) q[5]; h q[5]; h q[6]; rz(x30) q[6]; h q[6]; h q[7]; rz(x30) q[7]; h q[7]; h q[8]; rz(x30) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"source": 0, "sink": 8}
{"circuits": [], "gradients": []}
[ "IIIIIIZIZ", "IIIZIIZII", "IIIZIIIIZ", "IIIZIIIZI", "IIIIIZIZI", "ZIIIIIZII", "ZIIIIIIIZ", "ZIIIIIIZI", "IIIIZIZII", "IIIZZIIII", "ZIIIZIIII", "IZIIIIZII", "IZIIIZIII", "IIZZIIIII", "IIZIIIIZI", "IIZIZIIII", "IIIIIIZII", "IIIIIIIIZ", "IIIZIIIII", "IIIIIIIZI", "IIIIIZIII", "...
[ -0.5, -1, -0.25, -0.75, -0.25, -0.75, 1, -0.25, -0.75, -0.75, -0.25, -0.5, -0.5, -0.75, -0.75, -0.25, 0.5, -0.25, -2.5, 0.5, 0.25, -0.25, 0.5, 0, 1.25 ]
0.97208
[ -0.0046977098774302496, 0.012269863936092744, 0.01562822642382422, 0.013100666109334625, 0.5369349309225615, 1.6360153546291618, 1.5825548729034598, 1.6537585943579427, 2.153860546154924, 1.4736137931055673, -1.538693100576994, 1.3642954316225193, 0.016598763102727992, -0.5286694379827523,...
{ "n_parameters": 31, "n_qubits": 9, "optimal_eigenvalue": -8.25, "target_ratio": 0.97, "target_value": -8.0025 }
369
11576eab70c2ec583415b5e8bd58f9e2
community_detection
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "source": 3, "target": 5}]}
{"states": [2693, 2709], "expectation_value": -0.5852169781141637, "params": [0.2948, 0.017400000000000002, 0.2892, 0.01, 0.1017, -0.0164, 0.10010000000000001, -0.0375, 0.2886, 0.022600000000000002, 0.2903, 0.013900000000000001, 0.0981, -0.0334, 0.10020000000000001, -0.048600000000000004, 0.2403, 0.004200000000000001, 0.24080000000000001, -0.0063, 0.1516, -0.04, 0.15080000000000002, -0.0506, 0.2238, 0.09680000000000001, 0.2258, 0.09770000000000001, 0.23270000000000002, 0.055200000000000006, 0.2331, 0.056, 0.1003, -0.054200000000000005, 0.1032, -0.0631, 0.2878, 0.0228, 0.2906, 0.019, 0.09630000000000001, 0.10310000000000001, 0.10300000000000001, 0.0966, 0.2882, -0.0407, 0.2894, -0.0442, 0.2923, 0.017400000000000002, 0.2903, 0.013800000000000002, 0.1022, -0.0391, 0.1023, -0.051800000000000006, 0.29400000000000004, 0.022500000000000003, 0.2957, 0.0154, 0.0974, -0.0443, 0.1015, -0.056900000000000006, 0.2417, -0.0061, 0.24070000000000003, -0.014700000000000001, 0.1504, -0.049100000000000005, 0.15, -0.0546, 0.2165, 0.0995, 0.2152, 0.09870000000000001, 0.2301, 0.0741, 0.23070000000000002, 0.0763, 0.10540000000000001, -0.056100000000000004, 0.09670000000000001, -0.0644, 0.29350000000000004, 0.023700000000000002, 0.2867, 0.0193, 0.0983, 0.10590000000000001, 0.0966, 0.095, 0.29250000000000004, -0.0366, 0.2873, -0.034300000000000004, 0.2949, 0.015000000000000001, 0.2907, 0.015300000000000001, 0.1014, -0.049100000000000005, 0.09730000000000001, -0.0661, 0.2923, 0.0198, 0.2898, 0.0148, 0.0983, -0.058100000000000006, 0.101, -0.06810000000000001, 0.2353, -0.0236, 0.2411, -0.029400000000000003, 0.1583, -0.0548, 0.1505, -0.0649, 0.22060000000000002, 0.09920000000000001, 0.2136, 0.0951, 0.233, 0.08900000000000001, 0.23170000000000002, 0.0811, 0.1028, -0.0646, 0.10500000000000001, -0.0707, 0.29350000000000004, 0.017, 0.29400000000000004, 0.0201, 0.10450000000000001, 0.10250000000000001, 0.1, 0.0954, 0.29400000000000004, -0.028200000000000003, 0.2927, -0.0352, 0.2913, 0.0211, 0.2861, 0.0002, 0.0978, -0.0656, 0.0983, 0.0037, 0.28800000000000003, 0.0261, 0.2964, 0.009000000000000001, 0.1003, -0.06860000000000001, 0.101, 0.003, 0.23520000000000002, -0.0345, 0.23900000000000002, 0.0016, 0.1509, -0.0664, 0.1652, 0.0067, 0.2131, 0.0981, 0.23170000000000002, 0.0046, 0.2328, 0.0868, 0.23770000000000002, 0.0013000000000000002, 0.0981, -0.0755, 0.09670000000000001, 0.0085, 0.2886, 0.0236, 0.2906, 0.007500000000000001, 0.10250000000000001, 0.0954, 0.098, 0.006900000000000001, 0.29610000000000003, -0.028200000000000003, 0.2899, 0.008, 0.023100000000000002, -0.0166, 0.019700000000000002, -0.0206, 0.0017000000000000001, -0.0222, 0.0543, 0.0497, -0.038900000000000004, 0.0158, 0.0675, 0.019, 0.027200000000000002, -0.039, 0.0239, -0.0482, -0.0154, -0.0313, 0.0653, 0.0713, -0.076, -0.0132, 0.0811, 0.0414, -0.0201, -0.0733, -0.031, -0.08700000000000001, -0.0658, -0.0745, 0.0819, 0.0786, -0.0897, -0.0279, 0.10830000000000001, 0.0529, -0.0408, -0.096, -0.0287, -0.0876, -0.0869, -0.09190000000000001, 0.10540000000000001, 0.1066, -0.0966, -0.035, 0.108, 0.0351], "bitstrings": ["010101111010", "010101101010"], "total_optimization_steps": 30, "probabilities": [0.03673185573776679, 0.043934540703846184], "optimization_time": 312.04182529449463}
0.25 * (Z(0) @ Z(1)) + -0.0006377551020408162 * (Z(2) @ Z(0)) + -0.0006377551020408162 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0007653061224489796 * (Z(6) @ Z(0)) + 0.0007653061224489796 * (Z(6) @ Z(2)) + 0.000510204081632653 * (Z(6) @ Z(4)) + 0.0007653061224489796 * (Z(7) @ Z(1)) + 0.0007653061224489796 * (Z(7) @ Z(3)) + 0.000510204081632653 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.0003826530612244898 * (Z(8) @ Z(0)) + 0.0003826530612244898 * (Z(8) @ Z(2)) + 0.0002551020408163265 * (Z(8) @ Z(4)) + -0.0015306122448979593 * (Z(8) @ Z(6)) + 0.0003826530612244898 * (Z(9) @ Z(1)) + 0.0003826530612244898 * (Z(9) @ Z(3)) + 0.0002551020408163265 * (Z(9) @ Z(5)) + -0.0015306122448979593 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + -0.0006377551020408162 * (Z(10) @ Z(0)) + -0.0006377551020408162 * (Z(10) @ Z(2)) + 0.0007653061224489796 * (Z(10) @ Z(4)) + -0.001020408163265306 * (Z(10) @ Z(6)) + 0.0003826530612244898 * (Z(10) @ Z(8)) + -0.0006377551020408162 * (Z(11) @ Z(1)) + -0.0006377551020408162 * (Z(11) @ Z(3)) + 0.0007653061224489796 * (Z(11) @ Z(5)) + -0.001020408163265306 * (Z(11) @ Z(7)) + 0.0003826530612244898 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + -0.0011479591836734693 * Z(1) + -0.0011479591836734693 * Z(0) + -0.0011479591836734693 * Z(2) + -0.0011479591836734693 * Z(3) + -0.0005102040816326314 * Z(4) + -0.0005102040816326314 * Z(5) + -0.0005102040816326592 * Z(6) + -0.0005102040816326592 * Z(7) + -0.00012755102040817867 * Z(8) + -0.00012755102040817867 * Z(9) + -0.0011479591836734693 * Z(10) + -0.0011479591836734693 * Z(11)
5
12
4
{"smallest_eigenvalues": [-1.5147959183673465, -1.5147959183673465], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5142857142857147, "smallest_bitstrings": ["101010010101", "010101101010"], "largest_eigenvalue": 1.5158163265306124}
OPENQASM 3.0; include "stdgates.inc"; qubit[6] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.3716796306065885) q[0]; cx q[1], q[0]; h q[2]; h q[3]; cx q[0], q[3]; rz(-0.3716796306065885) q[3]; cx q[0], q[3]; h q[4]; cx q[1], q[4]; rz(-0.3716796306065885) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.3716796306065885) q[4]; cx q[0], q[4]; rz(0.8727381071204077) q[0]; rx(0.888959931440737) q[0]; cx q[3], q[4]; rz(-0.3716796306065885) q[4]; cx q[3], q[4]; rz(0.7179543098390146) q[3]; rx(0.8889599314407368) q[3]; rz(0.8727381071204077) q[4]; rx(0.888959931440737) q[4]; h q[5]; cx q[1], q[5]; rz(-0.3716796306065885) q[5]; cx q[1], q[5]; rz(0.8727381071204077) q[1]; rx(0.888959931440737) q[1]; cx q[1], q[0]; rz(-1.5807265779890087) q[0]; cx q[1], q[0]; cx q[0], q[3]; cx q[1], q[4]; rz(-1.5807265779890087) q[3]; cx q[0], q[3]; rz(-1.5807265779890087) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-1.5807265779890087) q[4]; cx q[0], q[4]; rz(2.486062917443885) q[0]; rx(0.4724410059780225) q[0]; cx q[3], q[4]; rz(-1.5807265779890087) q[4]; cx q[3], q[4]; rz(1.2068334987105587) q[3]; rx(0.4724410059780225) q[3]; rz(2.486062917443885) q[4]; rx(0.4724410059780225) q[4]; cx q[5], q[2]; rz(-0.3716796306065885) q[2]; cx q[5], q[2]; rz(-0.19857375753212114) q[2]; rx(0.888959931440737) q[2]; rz(0.7179543098390146) q[5]; rx(0.8889599314407368) q[5]; cx q[1], q[5]; rz(-1.5807265779890087) q[5]; cx q[1], q[5]; rz(2.486062917443885) q[1]; rx(0.4724410059780225) q[1]; cx q[5], q[2]; rz(-1.5807265779890087) q[2]; cx q[5], q[2]; rz(-0.19857375753212114) q[2]; rx(0.4724410059780224) q[2]; rz(1.2068334987105587) q[5]; rx(0.4724410059780225) q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x121; input float[64] x122; input float[64] x123; input float[64] x124; input float[64] x125; input float[64] x126; input float[64] x127; input float[64] x128; input float[64] x129; input float[64] x13; input float[64] x130; input float[64] x131; input float[64] x132; input float[64] x133; input float[64] x134; input float[64] x135; input float[64] x136; input float[64] x137; input float[64] x138; input float[64] x139; input float[64] x14; input float[64] x140; input float[64] x141; input float[64] x142; input float[64] x143; input float[64] x144; input float[64] x145; input float[64] x146; input float[64] x147; input float[64] x148; input float[64] x149; input float[64] x15; input float[64] x150; input float[64] x151; input float[64] x152; input float[64] x153; input float[64] x154; input float[64] x155; input float[64] x156; input float[64] x157; input float[64] x158; input float[64] x159; input float[64] x16; input float[64] x160; input float[64] x161; input float[64] x162; input float[64] x163; input float[64] x164; input float[64] x165; input float[64] x166; input float[64] x167; input float[64] x168; input float[64] x169; input float[64] x17; input float[64] x170; input float[64] x171; input float[64] x172; input float[64] x173; input float[64] x174; input float[64] x175; input float[64] x176; input float[64] x177; input float[64] x178; input float[64] x179; input float[64] x18; input float[64] x180; input float[64] x181; input float[64] x182; input float[64] x183; input float[64] x184; input float[64] x185; input float[64] x186; input float[64] x187; input float[64] x188; input float[64] x189; input float[64] x19; input float[64] x190; input float[64] x191; input float[64] x192; input float[64] x193; input float[64] x194; input float[64] x195; input float[64] x196; input float[64] x197; input float[64] x198; input float[64] x199; input float[64] x2; input float[64] x20; input float[64] x200; input float[64] x201; input float[64] x202; input float[64] x203; input float[64] x204; input float[64] x205; input float[64] x206; input float[64] x207; input float[64] x208; input float[64] x209; input float[64] x21; input float[64] x210; input float[64] x211; input float[64] x212; input float[64] x213; input float[64] x214; input float[64] x215; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[12] c; qubit[12] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; rx(x20) q[10]; rz(x21) q[10]; rx(x22) q[11]; rz(x23) q[11]; crz(x24) q[11], q[10]; crz(x25) q[11], q[9]; crz(x26) q[11], q[8]; crz(x27) q[11], q[7]; crz(x28) q[11], q[6]; crz(x29) q[11], q[5]; crz(x30) q[11], q[4]; crz(x31) q[11], q[3]; crz(x32) q[11], q[2]; crz(x33) q[11], q[1]; crz(x34) q[11], q[0]; crz(x35) q[10], q[11]; crz(x25) q[10], q[9]; crz(x26) q[10], q[8]; crz(x27) q[10], q[7]; crz(x28) q[10], q[6]; crz(x29) q[10], q[5]; crz(x30) q[10], q[4]; crz(x31) q[10], q[3]; crz(x32) q[10], q[2]; crz(x33) q[10], q[1]; crz(x34) q[10], q[0]; crz(x35) q[9], q[11]; crz(x24) q[9], q[10]; crz(x26) q[9], q[8]; crz(x27) q[9], q[7]; crz(x28) q[9], q[6]; crz(x29) q[9], q[5]; crz(x30) q[9], q[4]; crz(x31) q[9], q[3]; crz(x32) q[9], q[2]; crz(x33) q[9], q[1]; crz(x34) q[9], q[0]; crz(x35) q[8], q[11]; crz(x24) q[8], q[10]; crz(x25) q[8], q[9]; crz(x27) q[8], q[7]; crz(x28) q[8], q[6]; crz(x29) q[8], q[5]; crz(x30) q[8], q[4]; crz(x31) q[8], q[3]; crz(x32) q[8], q[2]; crz(x33) q[8], q[1]; crz(x34) q[8], q[0]; crz(x35) q[7], q[11]; crz(x24) q[7], q[10]; crz(x25) q[7], q[9]; crz(x26) q[7], q[8]; crz(x28) q[7], q[6]; crz(x29) q[7], q[5]; crz(x30) q[7], q[4]; crz(x31) q[7], q[3]; crz(x32) q[7], q[2]; crz(x33) q[7], q[1]; crz(x34) q[7], q[0]; crz(x35) q[6], q[11]; crz(x24) q[6], q[10]; crz(x25) q[6], q[9]; crz(x26) q[6], q[8]; crz(x27) q[6], q[7]; crz(x29) q[6], q[5]; crz(x30) q[6], q[4]; crz(x31) q[6], q[3]; crz(x32) q[6], q[2]; crz(x33) q[6], q[1]; crz(x34) q[6], q[0]; crz(x35) q[5], q[11]; crz(x24) q[5], q[10]; crz(x25) q[5], q[9]; crz(x26) q[5], q[8]; crz(x27) q[5], q[7]; crz(x28) q[5], q[6]; crz(x30) q[5], q[4]; crz(x31) q[5], q[3]; crz(x32) q[5], q[2]; crz(x33) q[5], q[1]; crz(x34) q[5], q[0]; crz(x35) q[4], q[11]; crz(x24) q[4], q[10]; crz(x25) q[4], q[9]; crz(x26) q[4], q[8]; crz(x27) q[4], q[7]; crz(x28) q[4], q[6]; crz(x29) q[4], q[5]; crz(x31) q[4], q[3]; crz(x32) q[4], q[2]; crz(x33) q[4], q[1]; crz(x34) q[4], q[0]; crz(x35) q[3], q[11]; crz(x24) q[3], q[10]; crz(x25) q[3], q[9]; crz(x26) q[3], q[8]; crz(x27) q[3], q[7]; crz(x28) q[3], q[6]; crz(x29) q[3], q[5]; crz(x30) q[3], q[4]; crz(x32) q[3], q[2]; crz(x33) q[3], q[1]; crz(x34) q[3], q[0]; crz(x35) q[2], q[11]; crz(x24) q[2], q[10]; crz(x25) q[2], q[9]; crz(x26) q[2], q[8]; crz(x27) q[2], q[7]; crz(x28) q[2], q[6]; crz(x29) q[2], q[5]; crz(x30) q[2], q[4]; crz(x31) q[2], q[3]; crz(x33) q[2], q[1]; crz(x34) q[2], q[0]; crz(x35) q[1], q[11]; crz(x24) q[1], q[10]; crz(x25) q[1], q[9]; crz(x26) q[1], q[8]; crz(x27) q[1], q[7]; crz(x28) q[1], q[6]; crz(x29) q[1], q[5]; crz(x30) q[1], q[4]; crz(x31) q[1], q[3]; crz(x32) q[1], q[2]; crz(x34) q[1], q[0]; crz(x35) q[0], q[11]; crz(x24) q[0], q[10]; crz(x25) q[0], q[9]; crz(x26) q[0], q[8]; crz(x27) q[0], q[7]; crz(x28) q[0], q[6]; crz(x29) q[0], q[5]; crz(x30) q[0], q[4]; crz(x31) q[0], q[3]; crz(x32) q[0], q[2]; crz(x33) q[0], q[1]; rx(x36) q[0]; rz(x37) q[0]; rx(x38) q[1]; rz(x39) q[1]; rx(x40) q[2]; rz(x41) q[2]; rx(x42) q[3]; rz(x43) q[3]; rx(x44) q[4]; rz(x45) q[4]; rx(x46) q[5]; rz(x47) q[5]; rx(x48) q[6]; rz(x49) q[6]; rx(x50) q[7]; rz(x51) q[7]; rx(x52) q[8]; rz(x53) q[8]; rx(x54) q[9]; rz(x35) q[9]; rx(x55) q[10]; rz(x56) q[10]; rx(x57) q[11]; rz(x58) q[11]; rx(x59) q[0]; rz(x1) q[0]; rx(x60) q[1]; rz(x61) q[1]; rx(x62) q[2]; rz(x63) q[2]; rx(x64) q[3]; rz(x65) q[3]; rx(x66) q[4]; rz(x67) q[4]; rx(x68) q[5]; rz(x69) q[5]; rx(x70) q[6]; rz(x71) q[6]; rx(x72) q[7]; rz(x73) q[7]; rx(x74) q[8]; rz(x75) q[8]; rx(x76) q[9]; rz(x77) q[9]; rx(x78) q[10]; rz(x79) q[10]; rx(x80) q[11]; rz(x81) q[11]; crz(x82) q[11], q[10]; crz(x83) q[11], q[9]; crz(x84) q[11], q[8]; crz(x85) q[11], q[7]; crz(x86) q[11], q[6]; crz(x87) q[11], q[5]; crz(x88) q[11], q[4]; crz(x89) q[11], q[3]; crz(x90) q[11], q[2]; crz(x91) q[11], q[1]; crz(x92) q[11], q[0]; crz(x93) q[10], q[11]; crz(x83) q[10], q[9]; crz(x84) q[10], q[8]; crz(x85) q[10], q[7]; crz(x86) q[10], q[6]; crz(x87) q[10], q[5]; crz(x88) q[10], q[4]; crz(x89) q[10], q[3]; crz(x90) q[10], q[2]; crz(x91) q[10], q[1]; crz(x92) q[10], q[0]; crz(x93) q[9], q[11]; crz(x82) q[9], q[10]; crz(x84) q[9], q[8]; crz(x85) q[9], q[7]; crz(x86) q[9], q[6]; crz(x87) q[9], q[5]; crz(x88) q[9], q[4]; crz(x89) q[9], q[3]; crz(x90) q[9], q[2]; crz(x91) q[9], q[1]; crz(x92) q[9], q[0]; crz(x93) q[8], q[11]; crz(x82) q[8], q[10]; crz(x83) q[8], q[9]; crz(x85) q[8], q[7]; crz(x86) q[8], q[6]; crz(x87) q[8], q[5]; crz(x88) q[8], q[4]; crz(x89) q[8], q[3]; crz(x90) q[8], q[2]; crz(x91) q[8], q[1]; crz(x92) q[8], q[0]; crz(x93) q[7], q[11]; crz(x82) q[7], q[10]; crz(x83) q[7], q[9]; crz(x84) q[7], q[8]; crz(x86) q[7], q[6]; crz(x87) q[7], q[5]; crz(x88) q[7], q[4]; crz(x89) q[7], q[3]; crz(x90) q[7], q[2]; crz(x91) q[7], q[1]; crz(x92) q[7], q[0]; crz(x93) q[6], q[11]; crz(x82) q[6], q[10]; crz(x83) q[6], q[9]; crz(x84) q[6], q[8]; crz(x85) q[6], q[7]; crz(x87) q[6], q[5]; crz(x88) q[6], q[4]; crz(x89) q[6], q[3]; crz(x90) q[6], q[2]; crz(x91) q[6], q[1]; crz(x92) q[6], q[0]; crz(x93) q[5], q[11]; crz(x82) q[5], q[10]; crz(x83) q[5], q[9]; crz(x84) q[5], q[8]; crz(x85) q[5], q[7]; crz(x86) q[5], q[6]; crz(x88) q[5], q[4]; crz(x89) q[5], q[3]; crz(x90) q[5], q[2]; crz(x91) q[5], q[1]; crz(x92) q[5], q[0]; crz(x93) q[4], q[11]; crz(x82) q[4], q[10]; crz(x83) q[4], q[9]; crz(x84) q[4], q[8]; crz(x85) q[4], q[7]; crz(x86) q[4], q[6]; crz(x87) q[4], q[5]; crz(x89) q[4], q[3]; crz(x90) q[4], q[2]; crz(x91) q[4], q[1]; crz(x92) q[4], q[0]; crz(x93) q[3], q[11]; crz(x82) q[3], q[10]; crz(x83) q[3], q[9]; crz(x84) q[3], q[8]; crz(x85) q[3], q[7]; crz(x86) q[3], q[6]; crz(x87) q[3], q[5]; crz(x88) q[3], q[4]; crz(x90) q[3], q[2]; crz(x91) q[3], q[1]; crz(x92) q[3], q[0]; crz(x93) q[2], q[11]; crz(x82) q[2], q[10]; crz(x83) q[2], q[9]; crz(x84) q[2], q[8]; crz(x85) q[2], q[7]; crz(x86) q[2], q[6]; crz(x87) q[2], q[5]; crz(x88) q[2], q[4]; crz(x89) q[2], q[3]; crz(x91) q[2], q[1]; crz(x92) q[2], q[0]; crz(x93) q[1], q[11]; crz(x82) q[1], q[10]; crz(x83) q[1], q[9]; crz(x84) q[1], q[8]; crz(x85) q[1], q[7]; crz(x86) q[1], q[6]; crz(x87) q[1], q[5]; crz(x88) q[1], q[4]; crz(x89) q[1], q[3]; crz(x90) q[1], q[2]; crz(x92) q[1], q[0]; crz(x93) q[0], q[11]; crz(x82) q[0], q[10]; crz(x83) q[0], q[9]; crz(x84) q[0], q[8]; crz(x85) q[0], q[7]; crz(x86) q[0], q[6]; crz(x87) q[0], q[5]; crz(x88) q[0], q[4]; crz(x89) q[0], q[3]; crz(x90) q[0], q[2]; crz(x91) q[0], q[1]; rx(x40) q[0]; rz(x94) q[0]; rx(x95) q[1]; rz(x96) q[1]; rx(x97) q[2]; rz(x98) q[2]; rx(x99) q[3]; rz(x100) q[3]; rx(x101) q[4]; rz(x102) q[4]; rx(x103) q[5]; rz(x104) q[5]; rx(x105) q[6]; rz(x106) q[6]; rx(x107) q[7]; rz(x108) q[7]; rx(x109) q[8]; rz(x110) q[8]; rx(x111) q[9]; rz(x112) q[9]; rx(x56) q[10]; rz(x113) q[10]; rx(x114) q[11]; rz(x115) q[11]; rx(x116) q[0]; rz(x117) q[0]; rx(x118) q[1]; rz(x69) q[1]; rx(x59) q[2]; rz(x119) q[2]; rx(x78) q[3]; rz(x120) q[3]; rx(x121) q[4]; rz(x122) q[4]; rx(x123) q[5]; rz(x124) q[5]; rx(x125) q[6]; rz(x126) q[6]; rx(x127) q[7]; rz(x128) q[7]; rx(x129) q[8]; rz(x130) q[8]; rx(x76) q[9]; rz(x131) q[9]; rx(x132) q[10]; rz(x133) q[10]; rx(x62) q[11]; rz(x134) q[11]; crz(x135) q[11], q[10]; crz(x136) q[11], q[9]; crz(x137) q[11], q[8]; crz(x138) q[11], q[7]; crz(x139) q[11], q[6]; crz(x140) q[11], q[5]; crz(x141) q[11], q[4]; crz(x142) q[11], q[3]; crz(x143) q[11], q[2]; crz(x144) q[11], q[1]; crz(x145) q[11], q[0]; crz(x146) q[10], q[11]; crz(x136) q[10], q[9]; crz(x137) q[10], q[8]; crz(x138) q[10], q[7]; crz(x139) q[10], q[6]; crz(x140) q[10], q[5]; crz(x141) q[10], q[4]; crz(x142) q[10], q[3]; crz(x143) q[10], q[2]; crz(x144) q[10], q[1]; crz(x145) q[10], q[0]; crz(x146) q[9], q[11]; crz(x135) q[9], q[10]; crz(x137) q[9], q[8]; crz(x138) q[9], q[7]; crz(x139) q[9], q[6]; crz(x140) q[9], q[5]; crz(x141) q[9], q[4]; crz(x142) q[9], q[3]; crz(x143) q[9], q[2]; crz(x144) q[9], q[1]; crz(x145) q[9], q[0]; crz(x146) q[8], q[11]; crz(x135) q[8], q[10]; crz(x136) q[8], q[9]; crz(x138) q[8], q[7]; crz(x139) q[8], q[6]; crz(x140) q[8], q[5]; crz(x141) q[8], q[4]; crz(x142) q[8], q[3]; crz(x143) q[8], q[2]; crz(x144) q[8], q[1]; crz(x145) q[8], q[0]; crz(x146) q[7], q[11]; crz(x135) q[7], q[10]; crz(x136) q[7], q[9]; crz(x137) q[7], q[8]; crz(x139) q[7], q[6]; crz(x140) q[7], q[5]; crz(x141) q[7], q[4]; crz(x142) q[7], q[3]; crz(x143) q[7], q[2]; crz(x144) q[7], q[1]; crz(x145) q[7], q[0]; crz(x146) q[6], q[11]; crz(x135) q[6], q[10]; crz(x136) q[6], q[9]; crz(x137) q[6], q[8]; crz(x138) q[6], q[7]; crz(x140) q[6], q[5]; crz(x141) q[6], q[4]; crz(x142) q[6], q[3]; crz(x143) q[6], q[2]; crz(x144) q[6], q[1]; crz(x145) q[6], q[0]; crz(x146) q[5], q[11]; crz(x135) q[5], q[10]; crz(x136) q[5], q[9]; crz(x137) q[5], q[8]; crz(x138) q[5], q[7]; crz(x139) q[5], q[6]; crz(x141) q[5], q[4]; crz(x142) q[5], q[3]; crz(x143) q[5], q[2]; crz(x144) q[5], q[1]; crz(x145) q[5], q[0]; crz(x146) q[4], q[11]; crz(x135) q[4], q[10]; crz(x136) q[4], q[9]; crz(x137) q[4], q[8]; crz(x138) q[4], q[7]; crz(x139) q[4], q[6]; crz(x140) q[4], q[5]; crz(x142) q[4], q[3]; crz(x143) q[4], q[2]; crz(x144) q[4], q[1]; crz(x145) q[4], q[0]; crz(x146) q[3], q[11]; crz(x135) q[3], q[10]; crz(x136) q[3], q[9]; crz(x137) q[3], q[8]; crz(x138) q[3], q[7]; crz(x139) q[3], q[6]; crz(x140) q[3], q[5]; crz(x141) q[3], q[4]; crz(x143) q[3], q[2]; crz(x144) q[3], q[1]; crz(x145) q[3], q[0]; crz(x146) q[2], q[11]; crz(x135) q[2], q[10]; crz(x136) q[2], q[9]; crz(x137) q[2], q[8]; crz(x138) q[2], q[7]; crz(x139) q[2], q[6]; crz(x140) q[2], q[5]; crz(x141) q[2], q[4]; crz(x142) q[2], q[3]; crz(x144) q[2], q[1]; crz(x145) q[2], q[0]; crz(x146) q[1], q[11]; crz(x135) q[1], q[10]; crz(x136) q[1], q[9]; crz(x137) q[1], q[8]; crz(x138) q[1], q[7]; crz(x139) q[1], q[6]; crz(x140) q[1], q[5]; crz(x141) q[1], q[4]; crz(x142) q[1], q[3]; crz(x143) q[1], q[2]; crz(x145) q[1], q[0]; crz(x146) q[0], q[11]; crz(x135) q[0], q[10]; crz(x136) q[0], q[9]; crz(x137) q[0], q[8]; crz(x138) q[0], q[7]; crz(x139) q[0], q[6]; crz(x140) q[0], q[5]; crz(x141) q[0], q[4]; crz(x142) q[0], q[3]; crz(x143) q[0], q[2]; crz(x144) q[0], q[1]; rx(x147) q[0]; rz(x148) q[0]; rx(x149) q[1]; rz(x150) q[1]; rx(x151) q[2]; rz(x152) q[2]; rx(x153) q[3]; rz(x154) q[3]; rx(x155) q[4]; rz(x156) q[4]; rx(x157) q[5]; rz(x158) q[5]; rx(x159) q[6]; rz(x160) q[6]; rx(x161) q[7]; rz(x82) q[7]; rx(x162) q[8]; rz(x163) q[8]; rx(x62) q[9]; rz(x164) q[9]; rx(x165) q[10]; rz(x166) q[10]; rx(x167) q[11]; rz(x168) q[11]; rx(x169) q[0]; rz(x170) q[0]; rx(x171) q[1]; rz(x172) q[1]; rx(x173) q[2]; rz(x174) q[2]; rx(x16) q[3]; rz(x175) q[3]; rx(x176) q[4]; rz(x177) q[4]; rx(x178) q[5]; rz(x179) q[5]; rx(x180) q[6]; rz(x6) q[6]; rx(x181) q[7]; rz(x182) q[7]; rx(x6) q[8]; rz(x183) q[8]; rx(x4) q[9]; rz(x184) q[9]; rx(x133) q[10]; rz(x166) q[10]; rx(x185) q[11]; rz(x134) q[11]; crz(x186) q[11], q[10]; crz(x187) q[11], q[9]; crz(x188) q[11], q[8]; crz(x189) q[11], q[7]; crz(x74) q[11], q[6]; crz(x190) q[11], q[5]; crz(x191) q[11], q[4]; crz(x192) q[11], q[3]; crz(x193) q[11], q[2]; crz(x194) q[11], q[1]; crz(x195) q[11], q[0]; crz(x196) q[10], q[11]; crz(x187) q[10], q[9]; crz(x188) q[10], q[8]; crz(x189) q[10], q[7]; crz(x74) q[10], q[6]; crz(x190) q[10], q[5]; crz(x191) q[10], q[4]; crz(x192) q[10], q[3]; crz(x193) q[10], q[2]; crz(x194) q[10], q[1]; crz(x195) q[10], q[0]; crz(x196) q[9], q[11]; crz(x186) q[9], q[10]; crz(x188) q[9], q[8]; crz(x189) q[9], q[7]; crz(x74) q[9], q[6]; crz(x190) q[9], q[5]; crz(x191) q[9], q[4]; crz(x192) q[9], q[3]; crz(x193) q[9], q[2]; crz(x194) q[9], q[1]; crz(x195) q[9], q[0]; crz(x196) q[8], q[11]; crz(x186) q[8], q[10]; crz(x187) q[8], q[9]; crz(x189) q[8], q[7]; crz(x74) q[8], q[6]; crz(x190) q[8], q[5]; crz(x191) q[8], q[4]; crz(x192) q[8], q[3]; crz(x193) q[8], q[2]; crz(x194) q[8], q[1]; crz(x195) q[8], q[0]; crz(x196) q[7], q[11]; crz(x186) q[7], q[10]; crz(x187) q[7], q[9]; crz(x188) q[7], q[8]; crz(x74) q[7], q[6]; crz(x190) q[7], q[5]; crz(x191) q[7], q[4]; crz(x192) q[7], q[3]; crz(x193) q[7], q[2]; crz(x194) q[7], q[1]; crz(x195) q[7], q[0]; crz(x196) q[6], q[11]; crz(x186) q[6], q[10]; crz(x187) q[6], q[9]; crz(x188) q[6], q[8]; crz(x189) q[6], q[7]; crz(x190) q[6], q[5]; crz(x191) q[6], q[4]; crz(x192) q[6], q[3]; crz(x193) q[6], q[2]; crz(x194) q[6], q[1]; crz(x195) q[6], q[0]; crz(x196) q[5], q[11]; crz(x186) q[5], q[10]; crz(x187) q[5], q[9]; crz(x188) q[5], q[8]; crz(x189) q[5], q[7]; crz(x74) q[5], q[6]; crz(x191) q[5], q[4]; crz(x192) q[5], q[3]; crz(x193) q[5], q[2]; crz(x194) q[5], q[1]; crz(x195) q[5], q[0]; crz(x196) q[4], q[11]; crz(x186) q[4], q[10]; crz(x187) q[4], q[9]; crz(x188) q[4], q[8]; crz(x189) q[4], q[7]; crz(x74) q[4], q[6]; crz(x190) q[4], q[5]; crz(x192) q[4], q[3]; crz(x193) q[4], q[2]; crz(x194) q[4], q[1]; crz(x195) q[4], q[0]; crz(x196) q[3], q[11]; crz(x186) q[3], q[10]; crz(x187) q[3], q[9]; crz(x188) q[3], q[8]; crz(x189) q[3], q[7]; crz(x74) q[3], q[6]; crz(x190) q[3], q[5]; crz(x191) q[3], q[4]; crz(x193) q[3], q[2]; crz(x194) q[3], q[1]; crz(x195) q[3], q[0]; crz(x196) q[2], q[11]; crz(x186) q[2], q[10]; crz(x187) q[2], q[9]; crz(x188) q[2], q[8]; crz(x189) q[2], q[7]; crz(x74) q[2], q[6]; crz(x190) q[2], q[5]; crz(x191) q[2], q[4]; crz(x192) q[2], q[3]; crz(x194) q[2], q[1]; crz(x195) q[2], q[0]; crz(x196) q[1], q[11]; crz(x186) q[1], q[10]; crz(x187) q[1], q[9]; crz(x188) q[1], q[8]; crz(x189) q[1], q[7]; crz(x74) q[1], q[6]; crz(x190) q[1], q[5]; crz(x191) q[1], q[4]; crz(x192) q[1], q[3]; crz(x193) q[1], q[2]; crz(x195) q[1], q[0]; crz(x196) q[0], q[11]; crz(x186) q[0], q[10]; crz(x187) q[0], q[9]; crz(x188) q[0], q[8]; crz(x189) q[0], q[7]; crz(x74) q[0], q[6]; crz(x190) q[0], q[5]; crz(x191) q[0], q[4]; crz(x192) q[0], q[3]; crz(x193) q[0], q[2]; crz(x194) q[0], q[1]; rx(x197) q[0]; rz(x198) q[0]; rx(x78) q[1]; rz(x199) q[1]; rx(x200) q[2]; rz(x201) q[2]; rx(x153) q[3]; rz(x202) q[3]; rx(x203) q[4]; rz(x204) q[4]; rx(x205) q[5]; rz(x206) q[5]; rx(x161) q[6]; rz(x207) q[6]; rx(x208) q[7]; rz(x209) q[7]; rx(x109) q[8]; rz(x210) q[8]; rx(x54) q[9]; rz(x211) q[9]; rx(x212) q[10]; rz(x213) q[10]; rx(x214) q[11]; rz(x215) q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
{"communities_size": 3, "number_of_communities": 2}
{"circuits": [], "gradients": []}
[ "IIIIIIIIIIZZ", "IIIIIIIIIZIZ", "IIIIIIIIZIZI", "IIIIIIIIZZII", "IIIIIIIZIIIZ", "IIIIIIIZIZII", "IIIIIIZIIIZI", "IIIIIIZIZIII", "IIIIIIZZIIII", "IIIIIZIIIIIZ", "IIIIIZIIIZII", "IIIIIZIZIIII", "IIIIZIIIIIZI", "IIIIZIIIZIII", "IIIIZIZIIIII", "IIIIZZIIIIII", "IIIZIIIIIIIZ", "IIIZIIIII...
[ 0.25, -0.0006377551020408162, -0.0006377551020408162, 0.25, -0.001020408163265306, -0.001020408163265306, -0.001020408163265306, -0.001020408163265306, 0.25, 0.0007653061224489796, 0.0007653061224489796, 0.000510204081632653, 0.0007653061224489796, 0.0007653061224489796, 0.00051020408163...
0.698312
[ -0.3716796306065885, 0.8727381071204077, 0.7179543098390148, -0.19857375753212136, 0.8889599314407369, -1.5807265779890087, 2.4860629174438844, 1.2068334987105587, 0.4724410059780224 ]
{ "n_parameters": 9, "n_qubits": 6, "optimal_eigenvalue": -3.5, "target_ratio": 0.97, "target_value": -3.395 }
259
cc9adb9c1d6eb8a7e18184b9ea3c977a
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 7}, {"source": 4, "target": 8}, {"source": 6, "target": 8}]}
{"states": [267, 299], "expectation_value": -4.143594968352035, "params": [0.8022, -0.023, 0.5491, -0.1842, 0.0027, 0.2978, 0.8105, 0.0006000000000000001, 0.33580000000000004, 0.019, 0.8072, -0.002, 0.0165, 0.2436, 0.7992, 0.0007, 0.8081, 0.0002, 0.8028000000000001, -0.018600000000000002, 0.4818, -0.23520000000000002, -0.0085, 0.2384, 0.808, 0.0044, 0.0017000000000000001, -0.0172, 0.8122, 0.0533, 0.0158, 0.22240000000000001, 0.7986000000000001, 0.0005, 0.8046000000000001, 0.0018000000000000002, -0.7813, 0.74, 0.0016, 0.5850000000000001, -0.17200000000000001, 0.7309, 0.034800000000000005, 0.5561, -0.7795000000000001, 0.3917, -0.0376, 0.7783, -0.36050000000000004, 0.7598, -0.0796, 0.7923], "bitstrings": ["011110100", "011010100"], "total_optimization_steps": 80, "probabilities": [0.049400746434546214, 0.05573969389834322], "optimization_time": 18.059513807296753}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(8) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(7) + 0.0 * Z(3)
4
9
2
{"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["011010100"], "largest_eigenvalue": 13.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; rx(1.5048677592626267) q[0]; rz(1.6823828761870008) q[0]; rx(0.2492354971303828) q[1]; rz(2.0862711402792) q[1]; rx(-0.009197848902555103) q[2]; rz(2.120607483371323) q[2]; rx(1.3588495482899254) q[3]; rz(1.335231618013558) q[3]; rx(0.0047546112748243505) q[4]; rz(1.8177087105334593) q[4]; rx(1.5601866491793692) q[5]; rz(1.5343237863216537) q[5]; rx(0.06295137429410728) q[6]; rz(1.2223573861565988) q[6]; rx(0.9315120467530187) q[7]; rz(1.2806208889839814) q[7]; rx(1.8425755022824266) q[8]; rz(-0.25540111463564774) q[8]; cx q[8], q[7]; ry(-0.22979158174307937) q[7]; cx q[8], q[7]; ry(0.22979158174307937) q[7]; rz(-pi/2) q[7]; cx q[7], q[6]; ry(0.06714592038055728) q[6]; cx q[7], q[6]; ry(-0.06714592038055728) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(-0.4387646018237473) q[5]; cx q[6], q[5]; ry(0.4387646018237473) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(0.0405300150814706) q[4]; cx q[5], q[4]; ry(-0.0405300150814706) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(-0.008462574456119778) q[3]; cx q[4], q[3]; ry(0.008462574456119778) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(-0.101449629705526) q[2]; cx q[3], q[2]; ry(0.101449629705526) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(-0.6542048026386547) q[1]; cx q[2], q[1]; ry(0.6542048026386547) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(0.4989727036956741) q[0]; cx q[1], q[0]; ry(0.8798360463379143) q[0]; rz(0.3436762324088023) q[0]; rx(0.040990040714602875) q[1]; rz(1.5784417961110933) q[1]; rx(0.018465493606846597) q[2]; rz(2.0557672436189947) q[2]; rx(1.5304367846677962) q[3]; rz(1.7094496655491582) q[3]; rx(0.019096547661723695) q[4]; rz(0.9267611533619515) q[4]; rx(1.5238471299102667) q[5]; rz(1.4097509313853767) q[5]; rx(0.30787058892812763) q[6]; rz(1.8508531169926865) q[6]; rx(0.9276584047444538) q[7]; rz(2.0304845545462813) q[7]; rx(1.3096255368212548) q[8]; rz(-0.1879863210388025) q[8]; cx q[8], q[7]; ry(-0.5943423035635906) q[7]; cx q[8], q[7]; ry(0.5943423035635906) q[7]; rz(-pi/2) q[7]; cx q[7], q[6]; ry(0.16634932584670492) q[6]; cx q[7], q[6]; ry(-0.16634932584670492) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(-0.2236944014397033) q[5]; cx q[6], q[5]; ry(0.2236944014397033) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(-0.019130655362701914) q[4]; cx q[5], q[4]; ry(0.019130655362701914) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(-0.30842138824300774) q[3]; cx q[4], q[3]; ry(0.30842138824300774) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(0.01443463873133858) q[2]; cx q[3], q[2]; ry(-0.01443463873133858) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(-0.3133350538100118) q[1]; cx q[2], q[1]; ry(0.3133350538100118) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(0.3860826519978132) q[0]; cx q[1], q[0]; ry(-0.3860826519978132) q[0]; rz(-pi/2) q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; crx(x18) q[8], q[7]; crx(x19) q[7], q[6]; crx(x20) q[6], q[5]; crx(x21) q[5], q[4]; crx(x22) q[4], q[3]; crx(x23) q[3], q[2]; crx(x24) q[2], q[1]; crx(x25) q[1], q[0]; rx(x26) q[0]; rz(x27) q[0]; rx(x28) q[1]; rz(x29) q[1]; rx(x30) q[2]; rz(x31) q[2]; rx(x32) q[3]; rz(x33) q[3]; rx(x34) q[4]; rz(x35) q[4]; rx(x36) q[5]; rz(x37) q[5]; rx(x38) q[6]; rz(x39) q[6]; rx(x40) q[7]; rz(x41) q[7]; rx(x42) q[8]; rz(x43) q[8]; crx(x44) q[8], q[7]; crx(x45) q[7], q[6]; crx(x46) q[6], q[5]; crx(x47) q[5], q[4]; crx(x48) q[4], q[3]; crx(x49) q[3], q[2]; crx(x50) q[2], q[1]; crx(x51) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIZIIIIIZ", "ZIIIIIIZI", "ZIZIIIIII", "IIZIIIZII", "ZIIIZIIII", "IIIIZIZII", "IIIZIIZII", "IIIZZIIII", "IZIIIIZII", "IZIIZIIII", "IIZIIZIII", "IIIIIIIZI", "IIIIIIIIZ", "IIZIIIIII", "ZIIIIIIII", "IIIIIIZII", "IIIIZIIII", "IIIZIIIII", "IZIIIIIII", "IIIIIZIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -0.5, -0.5, -1.5, -1, -1.5, -1.5, -0.5, -0.5, 0 ]
0.974237
[ 1.5048677592626267, 0.11158654939210423, 0.2492354971303828, 0.515474813484303, -0.009197848902555102, 0.5498111565764269, 1.3588495482899254, -0.23556470878133887, 0.00475461127482435, 0.24691238373856228, 1.5601866491793692, -0.03647254047324347, 0.06295137429410727, -0.34843894063829783...
{ "n_parameters": 52, "n_qubits": 9, "optimal_eigenvalue": -6.5, "target_ratio": 0.97, "target_value": -6.305 }
25
717427729600501566
hypermaxcut
adaptive_vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [0, 1, 2, 3, 5, 6], [8, 0, 3], [8, 0, 5], [0, 4, 6], [6, 7]]}
{"states": [389, 453], "expectation_value": -2.037301223367641, "params": null, "bitstrings": ["001111010", "000111010"], "total_optimization_steps": 65, "probabilities": [0.07126927730965221, 0.6286670057308085], "optimization_time": 101.53100252151489}
0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.19999999999999998 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.19999999999999998 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.19999999999999998 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666663 * Z(4) + 0.08333333333333326 * Z(1) + 0.5833333333333333 * Z(0) + 0.08333333333333333 * Z(2) + 0.25 * Z(3) + 0.25 * Z(5) + 0.25 * Z(6) + 0.3333333333333333 * Z(8) + 0.0 * Z(7)
1
9
1
{"smallest_eigenvalues": [-2.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1999999999999997, "smallest_bitstrings": ["000111010"], "largest_eigenvalue": 4.999999999999999}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; h q[0]; ry(1.5891458344522875) q[0]; h q[1]; h q[2]; h q[3]; ry(-0.06034977521682322) q[3]; h q[4]; ry(-0.3388112416957219) q[4]; cx q[1], q[4]; ry(0.3388112416957219) q[4]; cx q[1], q[4]; ry(1.3099294543825362) q[1]; cx q[0], q[1]; ry(-0.36884614911575636) q[1]; cx q[0], q[1]; ry(-0.7504385443992706) q[4]; h q[5]; ry(-0.15788791755583684) q[5]; h q[6]; h q[7]; ry(-0.4455032779304954) q[7]; cx q[6], q[7]; ry(0.4455032779304954) q[7]; cx q[6], q[7]; ry(0.9275935712111281) q[6]; cx q[0], q[6]; ry(-0.29544540771628347) q[6]; cx q[0], q[6]; cx q[0], q[4]; ry(0.1140916228544734) q[4]; cx q[0], q[4]; ry(0.1814088380739464) q[6]; cx q[1], q[6]; ry(-0.1814088380739464) q[6]; cx q[1], q[6]; ry(-0.05341715566041638) q[1]; cx q[6], q[1]; ry(0.05341715566041638) q[1]; cx q[6], q[1]; ry(-0.0982271090885942) q[4]; cx q[6], q[4]; ry(0.0982271090885942) q[4]; cx q[6], q[4]; ry(0.00877808758307055) q[4]; ry(-0.5293423717119886) q[7]; cx q[0], q[7]; ry(0.12979291791943892) q[7]; cx q[0], q[7]; ry(-0.17771654930486724) q[7]; cx q[1], q[7]; ry(0.17771654930486724) q[7]; cx q[1], q[7]; ry(-0.03515449818691924) q[7]; h q[8]; cx q[8], q[5]; ry(0.15788791755583684) q[5]; cx q[8], q[5]; cx q[8], q[3]; ry(0.06034977521682322) q[3]; cx q[8], q[3]; ry(0.5873834665895756) q[8]; cx q[5], q[8]; ry(-0.013559870287745949) q[8]; cx q[5], q[8]; ry(-0.0005190835488355396) q[8]; cx q[3], q[8]; ry(0.0005190835488355396) q[8]; cx q[3], q[8]; ry(0.3214395683388975) q[8]; cx q[0], q[8]; ry(-0.3214395683388975) q[8]; cx q[0], q[8]; ry(-0.11779795448571626) q[3]; cx q[1], q[3]; ry(0.11779795448571626) q[3]; cx q[1], q[3]; ry(0.07033366075096306) q[8]; cx q[1], q[8]; ry(-0.07033366075096306) q[8]; cx q[1], q[8]; ry(-0.20355513527369443) q[5]; cx q[1], q[5]; ry(0.20355513527369443) q[5]; cx q[1], q[5]; ry(0.18036637582087606) q[8]; cx q[6], q[8]; ry(-0.18036637582087606) q[8]; cx q[6], q[8]; ry(-0.003176980993894199) q[8]; cx q[2], q[8]; ry(0.003176980993894199) q[8]; cx q[2], q[8]; ry(-0.2057541167704083) q[3]; cx q[6], q[3]; ry(0.2057541167704083) q[3]; cx q[6], q[3]; ry(-0.15600625844119712) q[3]; cx q[0], q[3]; ry(0.15600625844119712) q[3]; cx q[0], q[3]; ry(-0.02336737423347647) q[5]; cx q[6], q[5]; ry(0.02336737423347647) q[5]; cx q[6], q[5]; ry(-0.20914128228912707) q[5]; cx q[0], q[5]; ry(0.20914128228912707) q[5]; cx q[0], q[5]; ry(-0.17537597757769255) q[3]; ry(-0.17830867047815419) q[5]; ry(0.9257479495834027) q[2]; cx q[0], q[2]; ry(0.003176980993894199) q[2]; cx q[0], q[2]; cx q[2], q[3]; ry(-0.014691810624457135) q[0]; cx q[1], q[0]; ry(0.014691810624457135) q[0]; cx q[1], q[0]; ry(0.17537597757769255) q[3]; cx q[2], q[3]; ry(0.09540728552395455) q[2]; cx q[8], q[2]; ry(-0.09540728552395455) q[2]; cx q[8], q[2]; cx q[2], q[5]; ry(0.17830867047815419) q[5]; cx q[2], q[5]; ry(0.12564923592369326) q[2]; cx q[6], q[2]; ry(-0.12564923592369326) q[2]; cx q[6], q[2]; ry(-0.10727220085760884) q[2]; cx q[1], q[2]; ry(0.10727220085760884) q[2]; cx q[1], q[2]; ry(-0.06184908526289683) q[1]; cx q[2], q[1]; ry(0.06184908526289683) q[1]; cx q[2], q[1]; ry(-0.12180488343487861) q[6]; cx q[2], q[6]; ry(0.12180488343487861) q[6]; cx q[2], q[6]; cx q[2], q[7]; ry(0.03515449818691924) q[7]; cx q[2], q[7]; cx q[2], q[4]; ry(-0.00877808758307055) q[4]; cx q[2], q[4]; ry(0.03772559909897634) q[8]; cx q[4], q[8]; ry(-0.03772559909897634) q[8]; cx q[4], q[8]; ry(0.1973878681996712) q[2]; cx q[4], q[2]; ry(-0.1973878681996712) q[2]; cx q[4], q[2]; ry(0.08361542065302045) q[8]; cx q[7], q[8]; ry(-0.08361542065302045) q[8]; cx q[7], q[8]; ry(0.04124567195549794) q[1]; cx q[8], q[1]; ry(-0.04124567195549794) q[1]; cx q[8], q[1]; ry(0.04589857962999504) q[1]; cx q[7], q[1]; ry(-0.04589857962999504) q[1]; cx q[7], q[1]; ry(0.09263615625836763) q[2]; cx q[7], q[2]; ry(-0.09263615625836763) q[2]; cx q[7], q[2]; ry(0.1316594613893349) q[6]; cx q[8], q[6]; ry(-0.1316594613893349) q[6]; cx q[8], q[6]; ry(-0.10441628077426601) q[4]; cx q[8], q[4]; ry(0.10441628077426601) q[4]; cx q[8], q[4]; ry(0.1573544987032071) q[6]; cx q[4], q[6]; ry(-0.1573544987032071) q[6]; cx q[4], q[6]; ry(-0.037846926500026565) q[7]; cx q[8], q[7]; ry(0.037846926500026565) q[7]; cx q[8], q[7]; ry(-0.012760526997965949) q[3]; ry(-0.31279359102759347) q[5]; cx q[5], q[3]; ry(-0.05133446763676178) q[3]; cx q[5], q[3]; ry(-0.12038953997141325) q[5]; cx q[3], q[5]; ry(0.12038953997141325) q[5]; cx q[3], q[5];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\ncry(0.0168) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\ncry(0.0168) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\ncry(0.0168) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\ncry(0.0168) q[3], q[5];\ncry(0.0145) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[0];\ncry(-1.0336) q[1], q[4];\nry(0.7936) q[1];\ncry(-1.0342) q[6], q[7];\nry(0.8786) q[6];\nry(-0.6432) q[4];\ncry(0.5398) q[0], q[1];\nry(-0.5966) q[7];\ncry(0.4916) q[0], q[6];\ncry(-0.3074) q[0], q[4];\ncry(-0.3353) q[0], q[7];\ncry(0.1513) q[1], q[6];\ncry(-0.4218) q[8], q[5];\ncry(0.1761) q[6], q[1];\ncry(-0.3917) q[8], q[3];\nry(0.2848) q[8];\ncry(-0.2673) q[5], q[8];\ncry(-0.2363) q[3], q[8];\ncry(0.2234) q[0], q[8];\ncry(-0.0775) q[6], q[4];\ncry(-0.0903) q[1], q[7];\ncry(-0.1752) q[1], q[3];\ncry(0.2106) q[1], q[8];\ncry(-0.2722) q[1], q[5];\ncry(0.2291) q[6], q[8];\ncry(-0.3292) q[6], q[3];\ncry(-0.2694) q[6], q[5];\ncry(0.1992) q[2], q[8];\ncry(-0.2336) q[0], q[3];\ncry(-0.1956) q[0], q[5];\nry(0.2082) q[2];\ncry(0.1992) q[0], q[2];\ncry(-0.1651) q[2], q[3];\ncry(0.1798) q[8], q[2];\ncry(-0.1674) q[2], q[5];\ncry(0.0658) q[1], q[0];\ncry(0.1502) q[6], q[2];\ncry(0.1325) q[1], q[2];\nry(-0.1118) q[3];\ncry(0.0519) q[2], q[1];\nry(-0.0859) q[5];\ncry(0.0387) q[2], q[6];\ncry(-0.024) q[2], q[7];\ncry(-0.0191) q[2], q[4];\ncry(0.0518) q[4], q[8];\ncry(0.0483) q[7], q[8];\ncry(0.0161) q[8], q[1];\ncry(0.0126) q[8], q[6];\ncry(0.026) q[7], q[1];\ncry(0.0253) q[4], q[2];\ncry(0.025) q[7], q[2];\ncry(-0.0069) q[8], q[4];\ncry(-0.008) q[8], q[7];\ncry(0.0185) q[5], q[3];\ncry(0.0168) q[3], q[5];\ncry(0.0145) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n"], "gradients": [0.5782, 0.2516, 0.2868, 0.2514, 0.3309, 0.3124, 0.2643, 0.2599, 0.2841, 0.1932, 0.1745, 0.0912, 0.0873, 0.0882, 0.0808, 0.0648, 0.0563, 0.0513, 0.0551, 0.0503, 0.0471, 0.0405, 0.053, 0.0635, 0.061, 0.0782, 0.0651, 0.0493, 0.0581, 0.049, 0.0418, 0.0407, 0.0407, 0.0375, 0.0422, 0.0378, 0.0317, 0.0282, 0.0294, 0.0245, 0.0227, 0.0214, 0.0125, 0.0122, 0.0106, 0.0099, 0.0072, 0.0065, 0.0056, 0.0051, 0.005, 0.0049, 0.0046, 0.0045, 0.0043, 0.0042, 0.0039, 0.0037, 0.0036, 0.0035, 0.0034, 0.0033, 0.0031, 0.003, 0.0029]}
[ "IIIIZIIZI", "IIIIZIIIZ", "IIIIIIIZZ", "IIIIIIZZI", "IIIIIIZIZ", "IIIIIZIZI", "IIIIIZIIZ", "IIIIIZZII", "IIIZIIIZI", "IIIZIIIIZ", "IIIZIIZII", "IIIZIZIII", "IIZIZIIII", "IIZIIIIZI", "IIZIIIIIZ", "IIZIIIZII", "IIZIIZIII", "IIZZIIIII", "ZIIIIIIIZ", "ZIIIIZIII", "ZIIZIIIII", "...
[ 0.5, 0.16666666666666666, 0.03333333333333333, 0.03333333333333333, 0.03333333333333333, 0.03333333333333333, 0.19999999999999998, 0.03333333333333333, 0.03333333333333333, 0.19999999999999998, 0.03333333333333333, 0.03333333333333333, 0.16666666666666666, 0.03333333333333333, 0.19999999...
0.975078
[ 1.5891458344522875, -0.6776224833914438, 0.9410833052667799, -0.8910065558609908, 0.6321481634948447, -0.6363469215447972, 0.7376922982315127, -0.3995494537925497, 0.5908908154325669, -0.2281832457089468, -0.25958583583887784, 0.3628176761478928, -0.3157758351116737, -0.10683431132083276, ...
{ "n_parameters": 55, "n_qubits": 9, "optimal_eigenvalue": -2.2, "target_ratio": 0.97, "target_value": -2.134 }
20
7dd0a85ae083861a7e6473750beb50c4
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}]}
{"states": [1010, 754], "expectation_value": -2.807203052241903, "params": [3.0874, 0.0064, 1.4998, 0.0058000000000000005, 3.0887000000000002, 0.0007, 1.6693, 0.0053, 3.0599000000000003, 0.0005, 3.0954, 0.0026000000000000003, -0.0024000000000000002, 0.0079, 0.0022, 0.0044, 2.9774000000000003, 0.009600000000000001, 0.0022, 0.0022, 0.0004, 0.0053, 0.0095, 0.0091, 0.0058000000000000005, 0.003, 0.0033, 0.009000000000000001, 0.0049, 0.0013000000000000002, 0.0025, 0.0028, 0.0012000000000000001, 0.0046, 0.0092, 0.0067, 0.0007, 0.0001, 0.0028, 0.0036000000000000003], "bitstrings": ["0000001101", "0100001101"], "total_optimization_steps": 310, "probabilities": [0.2524561637870438, 0.2910307278776246], "optimization_time": 13.732762336730957}
0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0625 * (Z(1) @ Z(3) @ Z(4)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(4) @ Z(1) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(1) @ Z(5) @ Z(7)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(2) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(2) @ Z(8) @ Z(9)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.1875 * Z(0) + 0.1875 * Z(1) + 0.1875 * Z(2) + -0.0625 * Z(3) + -0.0625 * Z(4) + 0.0 * Z(5) + -0.25 * Z(6) + -0.25 * Z(7) + -0.25 * Z(8) + -0.25 * Z(9)
16
10
1
{"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0001011010", "0000101101", "0011001100", "1000100101", "1000001101", "0010001101", "0001001110", "0001001101", "0001110010", "0101001010", "0100001101", "0100001011", "0000110101", "0000110011"], "largest_eigenvalue": 6.6875}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; rx(-3.113092417247212) q[0]; rz(0.4880866999982407) q[0]; rx(0.38465931902777295) q[1]; rz(0.20065546137673845) q[1]; cx q[1], q[0]; rz(-0.055866517219434) q[0]; cx q[1], q[0]; rz(-0.007223024598085756) q[1]; rx(-3.0800478140916203) q[2]; rz(-0.1321662875450258) q[2]; rx(2.9439076566432285) q[3]; rz(0.4119475223097899) q[3]; cx q[3], q[2]; rz(-0.10032773068836923) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(0.007223024598085756) q[1]; cx q[2], q[1]; rz(0.07665805749455545) q[3]; rx(3.0429737068572065) q[4]; rz(0.5226664602409854) q[4]; rx(3.2364125851665366) q[5]; rz(-0.6315713390951732) q[5]; cx q[5], q[4]; rz(0.009090641144772692) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(-0.07665805749455545) q[3]; cx q[4], q[3]; rz(-0.14229590785337848) q[5]; rx(0.17576180250613307) q[6]; rz(0.07729639801186128) q[6]; rx(-0.0447793731721987) q[7]; rz(0.09518611491331448) q[7]; cx q[7], q[6]; rz(-0.16744726974069274) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(0.14229590785337848) q[5]; cx q[6], q[5]; rz(-0.14128360471118617) q[7]; rx(-3.118811857046278) q[8]; rz(0.049768094740263) q[8]; rx(-0.0447793731721987) q[9]; rz(-0.0447793731721987) q[9]; cx q[9], q[8]; rz(0.11624700911669789) q[8]; cx q[9], q[8]; cx q[8], q[7]; rz(0.14128360471118617) q[7]; cx q[8], q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x14) q[9]; rz(x14) q[9]; crz(x18) q[1], q[0]; crz(x3) q[3], q[2]; crz(x19) q[5], q[4]; crz(x20) q[7], q[6]; crz(x5) q[9], q[8]; crz(x21) q[2], q[1]; crz(x22) q[4], q[3]; crz(x23) q[6], q[5]; crz(x24) q[8], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIIZZ", "IIIIIIIZIZ", "IIIIIIZIIZ", "IIIIIZIIIZ", "IIIIIIIZZI", "IIIIIIZIZI", "IIIIIZIIZI", "IIIIIIZZII", "IIIIIZIZII", "IIIIIZZIII", "IIIIIIIZZZ", "IIIIIIZIZZ", "IIIIIZIIZZ", "IIIIIIZZIZ", "IIIIIZIZIZ", "IIIIIZZIIZ", "IIIIIIZZZI", "IIIIIZIZZI", "IIIIIZZIZI", "IIIIIZZZII"...
[ 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, -0.0625, 0.25, 0.25, 0.25, -0.25, 0.25, 0.25...
0.976959
[ 3.170092889932375, 0.4322201827788072, 0.38465931902777295, 0.20065546137673845, 3.2031374930879664, -0.23249401823339577, 2.9439076566432285, 0.4119475223097899, 3.0429737068572065, 0.5317571013857584, 3.2364125851665366, -0.6315713390951732, 0.1757618025061331, -0.09015087172883156, -0...
{ "n_parameters": 25, "n_qubits": 10, "optimal_eigenvalue": -3.3125, "target_ratio": 0.97, "target_value": -3.213125 }
14
2cd930b90c9acbaa9464962c3608d11c
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 6, "target": 7}]}
{"states": [224, 240], "expectation_value": -4.5095163957159885, "params": [0.7794000000000001, -0.0038, 0.8016000000000001, 0.0029000000000000002, 0.7808, -0.0032, -0.40040000000000003, -0.0007, 0.0024000000000000002, 0.5513, -0.0148, -0.34750000000000003, 0.0063, 0.5337000000000001, 0.0004, 0.5879, 0.7786000000000001, -0.0045000000000000005, 0.8057000000000001, 0.0021000000000000003, 0.7814, -0.0026000000000000003, -0.4001, 0.0002, 0.0023, 0.5519000000000001, -0.0244, -0.3302, -0.0005, 0.5779000000000001, -0.0073, 0.6256, 0.7864, -0.0039000000000000003, 0.8074, 0.0078000000000000005, 0.7857000000000001, -0.0105, -0.40040000000000003, -0.0097, 0.0038, 0.5438000000000001, -0.0188, -0.3173, 0.0021000000000000003, 0.5555, -0.0049, 0.6303000000000001, 0.7872, 0.0026000000000000003, 0.8046000000000001, 0.0026000000000000003, 0.7845000000000001, 0.004, -0.39630000000000004, 0.003, 0.0022, 0.0081, -0.0195, 0.0026000000000000003, 0.0046, 0.0016, -0.0004, 0.006, -0.007200000000000001, -0.012700000000000001, 0.012100000000000001, -0.5459, 0.5546, -0.5246000000000001, -0.15460000000000002, -0.0047, 0.0081, -0.02, -0.5482, 0.5867, -0.5706, -0.0698, -0.0034000000000000002, -0.0076, 0.0181, -0.539, 0.5993, -0.5576, 0.0007, 0.0002, 0.0092, 0.0055000000000000005, 0.0073, 0.0094, 0.004200000000000001, 0.001], "bitstrings": ["00011111", "00001111"], "total_optimization_steps": 90, "probabilities": [0.4854462609641571, 0.5118915583852635], "optimization_time": 9.880802869796753}
0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(7) + -1.0 * Z(3)
3
8
4
{"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["00001111"], "largest_eigenvalue": 11.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; rx(0.6570218550985795) q[0]; rz(0.09753029749869135) q[0]; rx(0.876080257272196) q[1]; rz(-0.10937596978641118) q[1]; rx(0.7827996007745819) q[2]; rz(0.026558334849124954) q[2]; rx(-0.6753573781563615) q[3]; rz(-0.480105129964711) q[3]; rx(0.042011334881116476) q[4]; rz(0.6241789015763919) q[4]; rx(-0.06317666465944205) q[5]; rz(-0.2903392362535513) q[5]; rx(-0.27169954820773184) q[6]; rz(0.3539456323626453) q[6]; rx(-0.05239322387783014) q[7]; rz(0.5570831747114756) q[7]; cx q[7], q[6]; rz(0.1404909378770661) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(0.05519743178409872) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(-0.27016403786810805) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(0.41912644652376435) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(0.012902848229791698) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(0.0010655558574620763) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(0.03716119854759557) q[0]; cx q[1], q[0]; rx(0.9887373690911658) q[0]; rz(0.27141542328960266) q[0]; rx(0.8498658743254996) q[1]; rz(0.08009130657660668) q[1]; rx(0.6496932165440525) q[2]; rz(0.0925536565665146) q[2]; rx(-0.6254604786955432) q[3]; rz(-0.18909815601874058) q[3]; rx(-0.22182545548778973) q[4]; rz(0.6793690711920775) q[4]; rx(-0.05872772792487452) q[5]; rz(-0.7818979812529427) q[5]; rx(0.09185197248415582) q[6]; rz(0.6382398449275573) q[6]; rx(0.042087495542138365) q[7]; rz(0.8126971334667044) q[7]; cx q[7], q[6]; rz(0.05138361617993427) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(0.42095543931876833) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(-0.17553055197446088) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(0.29712923922193935) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(-0.02959707848912277) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(0.04607296810797113) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(-0.12862926115490614) q[0]; cx q[1], q[0]; rx(0.7676253225627948) q[0]; rz(-0.290761687300102) q[0]; rx(0.7960923422822342) q[1]; rz(-0.08485380720394797) q[1]; rx(0.7710996041672034) q[2]; rz(0.057796742054500694) q[2]; rx(-0.6753573781563615) q[3]; rz(-0.42648752266209833) q[3]; rx(0.2778408587788052) q[4]; rz(0.7701012373690626) q[4]; rx(-0.008000130043100394) q[5]; rz(-0.36811864749499357) q[5]; rx(0.12616427468457794) q[6]; rz(0.4063527121637831) q[6]; rx(-0.10436377089478459) q[7]; rz(0.5644396431594485) q[7]; cx q[7], q[6]; rz(0.0033338193301717875) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(0.1847380636872649) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(-0.25294131968010697) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(0.2724003598034462) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(0.024790511137598246) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(0.04041020941646599) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(0.08782454227956712) q[0]; cx q[1], q[0]; rx(0.7744338760328024) q[0]; rz(0.2143081978058463) q[0]; rx(0.6445475839575779) q[1]; rz(0.18977045203495946) q[1]; rx(0.7109509681860426) q[2]; rz(-0.024314882000681326) q[2]; rx(-0.8260322684094522) q[3]; rz(-0.19662824249196298) q[3]; rx(-0.16647085897921715) q[4]; rz(-0.13445765110297359) q[4]; rx(0.10175028194132368) q[5]; rz(0.23702275772652204) q[5]; rx(-0.11699245466717004) q[6]; rz(-0.060712608121262335) q[6]; rx(0.0993595172650182) q[7]; rz(0.10905720339023146) q[7]; cx q[7], q[6]; rz(0.13743380296921276) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(-0.07673010152227516) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(0.04231171488703239) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(0.06043009644278594) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(-0.07327481405749012) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(-0.029477795830712725) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(-0.054015541601599784) q[0]; cx q[1], q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crz(x16) q[7], q[6]; crz(x17) q[6], q[5]; crz(x18) q[5], q[4]; crz(x19) q[4], q[3]; crz(x20) q[3], q[2]; crz(x21) q[2], q[1]; crz(x22) q[1], q[0]; rx(x23) q[0]; rz(x24) q[0]; rx(x25) q[1]; rz(x26) q[1]; rx(x27) q[2]; rz(x28) q[2]; rx(x29) q[3]; rz(x30) q[3]; rx(x31) q[4]; rz(x32) q[4]; rx(x33) q[5]; rz(x34) q[5]; rx(x35) q[6]; rz(x36) q[6]; rx(x37) q[7]; rz(x38) q[7]; crz(x39) q[7], q[6]; crz(x40) q[6], q[5]; crz(x41) q[5], q[4]; crz(x42) q[4], q[3]; crz(x43) q[3], q[2]; crz(x44) q[2], q[1]; crz(x45) q[1], q[0]; rx(x46) q[0]; rz(x47) q[0]; rx(x48) q[1]; rz(x49) q[1]; rx(x50) q[2]; rz(x51) q[2]; rx(x6) q[3]; rz(x52) q[3]; rx(x53) q[4]; rz(x54) q[4]; rx(x55) q[5]; rz(x56) q[5]; rx(x26) q[6]; rz(x57) q[6]; rx(x58) q[7]; rz(x59) q[7]; crz(x60) q[7], q[6]; crz(x61) q[6], q[5]; crz(x62) q[5], q[4]; crz(x63) q[4], q[3]; crz(x64) q[3], q[2]; crz(x65) q[2], q[1]; crz(x66) q[1], q[0]; rx(x67) q[0]; rz(x68) q[0]; rx(x69) q[1]; rz(x68) q[1]; rx(x70) q[2]; rz(x71) q[2]; rx(x72) q[3]; rz(x73) q[3]; rx(x74) q[4]; rz(x44) q[4]; rx(x75) q[5]; rz(x68) q[5]; rx(x76) q[6]; rz(x77) q[6]; rx(x78) q[7]; rz(x79) q[7]; crz(x80) q[7], q[6]; crz(x81) q[6], q[5]; crz(x82) q[5], q[4]; crz(x83) q[4], q[3]; crz(x84) q[3], q[2]; crz(x85) q[2], q[1]; crz(x30) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
[ "IIIZIIIZ", "IZIIIIIZ", "IIIZIIZI", "IIZIIIZI", "IIIZIZII", "ZZIIIIII", "ZIIIIZII", "IZIIZIII", "IIZIZIII", "ZIIIZIII", "IIIZIIII", "IIIIIIIZ", "IZIIIIII", "IIIIIIZI", "IIZIIIII", "IIIIIZII", "ZIIIIIII", "IIIIZIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1, -0.5, -1, -0.5, -0.5, -0.5, -1, -1 ]
0.981246
[ 0.6570218550985794, 0.13469149604628683, 0.876080257272196, -0.1083104139289489, 0.782799600774582, 0.03946118307891652, -0.6753573781563617, -0.06097868344094612, 0.04201133488111647, 0.3540148637082837, -0.06317666465944206, -0.23514180446945204, -0.2716995482077318, 0.494436570239712, ...
{ "n_parameters": 86, "n_qubits": 8, "optimal_eigenvalue": -5, "target_ratio": 0.97, "target_value": -4.85 }
10
-540466935978038807
hypermaxcut
qaoa
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6], [1, 2, 3], [0, 5, 6], [3, 7], [4, 5, 7], [1, 2, 6], [3, 5], [1, 6, 7], [0, 4], [1, 4, 7], [0, 1, 2], [4, 6], [2, 4]]}
{"states": [90, 167], "expectation_value": -0.17176342554180488, "params": [[0.07830000000000001], [-0.08320000000000001]], "bitstrings": ["10100101", "01011000"], "total_optimization_steps": 10, "probabilities": [0.004537086058714577, 0.004684329220786361], "optimization_time": 2.981811761856079}
0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.33333333333333326 * Z(3) + 0.5000000000000001 * Z(0) + 0.6666666666666667 * Z(6) + 0.8333333333333333 * Z(1) + 0.5 * Z(2) + 0.33333333333333326 * Z(5) + 0.5000000000000001 * Z(7) + 0.3333333333333337 * Z(4)
1
8
1
{"smallest_eigenvalues": [-4.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333332, "smallest_bitstrings": ["01011000"], "largest_eigenvalue": 10.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; cx q[3], q[0]; rz(-0.020698519694385534) q[0]; cx q[3], q[0]; h q[4]; h q[5]; h q[6]; cx q[3], q[6]; rz(-0.020698519694385534) q[6]; cx q[3], q[6]; cx q[0], q[6]; cx q[3], q[1]; rz(-0.020698519694385534) q[1]; cx q[3], q[1]; cx q[3], q[2]; rz(-0.020698519694385534) q[2]; cx q[3], q[2]; cx q[3], q[5]; rz(0.6902062317664986) q[5]; cx q[3], q[5]; rz(0.04882932874959342) q[6]; cx q[0], q[6]; cx q[0], q[1]; rz(-0.020698519694385534) q[1]; cx q[0], q[1]; cx q[0], q[2]; rz(-0.020698519694385534) q[2]; cx q[0], q[2]; cx q[0], q[5]; rz(-0.020698519694385534) q[5]; cx q[0], q[5]; cx q[0], q[4]; rz(0.6902062317664986) q[4]; cx q[0], q[4]; rz(0.6902062317664983) q[0]; rx(-0.8256815963120815) q[0]; cx q[6], q[1]; rz(0.04882932874959342) q[1]; cx q[6], q[1]; cx q[6], q[2]; rz(-0.020698519694385534) q[2]; cx q[6], q[2]; cx q[1], q[2]; rz(0.6902062317664986) q[2]; cx q[1], q[2]; cx q[6], q[5]; rz(-0.020698519694385534) q[5]; cx q[6], q[5]; h q[7]; cx q[3], q[7]; rz(0.6902062317664986) q[7]; cx q[3], q[7]; rz(0.04882932874959334) q[3]; rx(-0.8256815963120815) q[3]; cx q[6], q[7]; rz(-0.020698519694385534) q[7]; cx q[6], q[7]; cx q[1], q[7]; cx q[6], q[4]; rz(0.6902062317664986) q[4]; cx q[6], q[4]; rz(1.076345047985912) q[6]; rx(-0.8256815963120814) q[6]; rz(0.04882932874959342) q[7]; cx q[1], q[7]; cx q[1], q[4]; rz(-0.020698519694385534) q[4]; cx q[1], q[4]; rz(0.7459925692091716) q[1]; rx(-0.8256815963120814) q[1]; cx q[2], q[4]; rz(0.6902062317664986) q[4]; cx q[2], q[4]; rz(0.6902062317664983) q[2]; rx(-0.8256815963120815) q[2]; cx q[5], q[7]; rz(-0.020698519694385534) q[7]; cx q[5], q[7]; cx q[5], q[4]; rz(-0.020698519694385534) q[4]; cx q[5], q[4]; rz(0.04882932874959334) q[5]; rx(-0.8256815963120815) q[5]; cx q[7], q[4]; rz(0.04882932874959342) q[4]; cx q[7], q[4]; rz(0.04882932874959334) q[4]; rx(-0.8256815963120815) q[4]; rz(0.6902062317664983) q[7]; rx(-0.8256815963120815) q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[3], q[0]; rz(x0) q[0]; cx q[3], q[0]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[0], q[6]; rz(x1) q[6]; cx q[0], q[6]; cx q[3], q[1]; rz(x0) q[1]; cx q[3], q[1]; cx q[0], q[1]; rz(x0) q[1]; cx q[0], q[1]; cx q[6], q[1]; rz(x1) q[1]; cx q[6], q[1]; cx q[3], q[2]; rz(x0) q[2]; cx q[3], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[6], q[2]; rz(x0) q[2]; cx q[6], q[2]; cx q[1], q[2]; rz(x2) q[2]; cx q[1], q[2]; cx q[3], q[5]; rz(x2) q[5]; cx q[3], q[5]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[6], q[5]; rz(x0) q[5]; cx q[6], q[5]; cx q[3], q[7]; rz(x2) q[7]; cx q[3], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; cx q[1], q[7]; rz(x1) q[7]; cx q[1], q[7]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; cx q[0], q[4]; rz(x2) q[4]; cx q[0], q[4]; cx q[6], q[4]; rz(x2) q[4]; cx q[6], q[4]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[2], q[4]; rz(x2) q[4]; cx q[2], q[4]; cx q[5], q[4]; rz(x0) q[4]; cx q[5], q[4]; cx q[7], q[4]; rz(x1) q[4]; cx q[7], q[4]; rz(x1) q[3]; rz(x2) q[0]; rz(x3) q[6]; rz(x4) q[1]; rz(x2) q[2]; rz(x1) q[5]; rz(x2) q[7]; rz(x1) q[4]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; h q[7]; rz(x5) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
[ "IIIIZIIZ", "IZIIZIII", "IZIIIIIZ", "IIIIZIZI", "IIIIIIZZ", "IZIIIIZI", "IIIIZZII", "IIIIIZIZ", "IZIIIZII", "IIIIIZZI", "IIZIZIII", "IIZIIIIZ", "IZZIIIII", "ZIIIZIII", "ZZIIIIII", "ZIIIIIZI", "ZIZIIIII", "IIIZIIIZ", "IZIZIIII", "IIIZIIZI", "IIIZIZII", "IIZZIIII", "ZIIZIII...
[ 0.16666666666666666, 0.16666666666666666, 0.3333333333333333, 0.16666666666666666, 0.16666666666666666, 0.3333333333333333, 0.16666666666666666, 0.16666666666666666, 0.16666666666666666, 0.5, 0.5, 0.16666666666666666, 0.16666666666666666, 0.5, 0.16666666666666666, 0.3333333333333333, ...
0.484379
[ -0.020698519694385534, 0.04882932874959342, 0.6902062317664986, 1.0763450479859118, 0.7459925692091719, -0.8256815963120815 ]
{ "n_parameters": 6, "n_qubits": 8, "optimal_eigenvalue": -4.166666666666666, "target_ratio": 0.97, "target_value": -4.041666666666666 }
179
3818ce8f8ec333f1e3cdd221545ea640
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"weight": 19, "source": 2, "target": 5}, {"weight": 12, "source": 3, "target": 4}, {"weight": 19, "source": 3, "target": 6}, {"weight": 3, "source": 4, "target": 5}]}
{"states": [174, 110], "expectation_value": -21.397429834290335, "params": [[-0.031, -0.012400000000000001, -0.0218, 0.014400000000000001], [0.0629, 0.0458, 0.0645, 0.044700000000000004]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01822125245882703, 0.025464381018916758], "optimization_time": 6.08306622505188}
4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 6.5 * Z(1) + 1.5 * Z(0) + 15.0 * Z(2) + 8.5 * Z(3) + 9.5 * Z(4) + 14.0 * Z(5) + 17.5 * Z(6) + 1.5 * Z(7)
1
8
4
{"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 122.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; h q[1]; cx q[1], q[0]; rz(0.2759233039205356) q[0]; cx q[1], q[0]; h q[2]; cx q[0], q[2]; rz(0.2759233039205356) q[2]; cx q[0], q[2]; rz(0.8844402004995073) q[0]; rx(-0.1341396366104166) q[0]; h q[3]; cx q[2], q[3]; rz(0.2759233039205356) q[3]; cx q[2], q[3]; h q[4]; cx q[3], q[4]; rz(0.2759233039205356) q[4]; cx q[3], q[4]; h q[5]; cx q[2], q[5]; rz(0.2759233039205356) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.2759233039205356) q[5]; cx q[3], q[5]; h q[6]; cx q[1], q[6]; rz(0.2759233039205356) q[6]; cx q[1], q[6]; rz(-0.42938787334870376) q[1]; rx(-0.1341396366104167) q[1]; cx q[1], q[0]; rz(-0.22536789211031555) q[0]; cx q[1], q[0]; cx q[2], q[6]; rz(0.2759233039205356) q[6]; cx q[2], q[6]; rz(-0.8144200522888201) q[2]; rx(-0.13413963661041664) q[2]; cx q[0], q[2]; rz(-0.22536789211031555) q[2]; cx q[0], q[2]; rz(0.5384084427806402) q[0]; rx(1.2443196017130982) q[0]; cx q[3], q[6]; rz(0.2759233039205356) q[6]; cx q[3], q[6]; rz(0.2801413587704382) q[3]; rx(-0.13413963661041664) q[3]; cx q[2], q[3]; rz(-0.22536789211031555) q[3]; cx q[2], q[3]; cx q[5], q[6]; rz(0.2759233039205356) q[6]; cx q[5], q[6]; rz(-1.140593939550885) q[6]; rx(-0.13413963661041672) q[6]; cx q[1], q[6]; rz(-0.22536789211031555) q[6]; cx q[1], q[6]; rz(-1.1314300218673008) q[1]; rx(1.2443196017130982) q[1]; cx q[1], q[0]; rz(-0.18637713368654088) q[0]; cx q[1], q[0]; h q[7]; cx q[4], q[7]; rz(0.2759233039205356) q[7]; cx q[4], q[7]; rz(-0.8114055882673799) q[4]; rx(-0.1341396366104166) q[4]; cx q[3], q[4]; rz(-0.22536789211031555) q[4]; cx q[3], q[4]; cx q[5], q[7]; rz(0.2759233039205356) q[7]; cx q[5], q[7]; rz(-0.6665407615679286) q[5]; rx(-0.13413963661041658) q[5]; cx q[2], q[5]; rz(-0.22536789211031555) q[5]; cx q[2], q[5]; cx q[2], q[6]; cx q[3], q[5]; rz(-0.22536789211031555) q[5]; cx q[3], q[5]; rz(-0.22536789211031555) q[6]; cx q[2], q[6]; rz(-0.5755834086541327) q[2]; rx(1.2443196017130982) q[2]; cx q[0], q[2]; rz(-0.18637713368654088) q[2]; cx q[0], q[2]; rz(0.1965367041645738) q[0]; rx(0.5644684160123565) q[0]; cx q[3], q[6]; rz(-0.22536789211031555) q[6]; cx q[3], q[6]; rz(0.4727379585036262) q[3]; rx(1.2443196017130982) q[3]; cx q[2], q[3]; rz(-0.18637713368654088) q[3]; cx q[2], q[3]; cx q[5], q[6]; rz(-0.22536789211031555) q[6]; cx q[5], q[6]; rz(-0.02604552468296273) q[6]; rx(1.2443196017130984) q[6]; cx q[1], q[6]; rz(-0.18637713368654088) q[6]; cx q[1], q[6]; rz(-0.8219738488700514) q[1]; rx(0.5644684160123565) q[1]; cx q[1], q[0]; rz(-0.8423368723357373) q[0]; cx q[1], q[0]; rz(0.8844402004995073) q[7]; rx(-0.1341396366104166) q[7]; cx q[4], q[7]; rz(-0.22536789211031555) q[7]; cx q[4], q[7]; rz(-0.5298163972987071) q[4]; rx(1.2443196017130984) q[4]; cx q[3], q[4]; rz(-0.18637713368654088) q[4]; cx q[3], q[4]; cx q[5], q[7]; rz(-0.22536789211031555) q[7]; cx q[5], q[7]; rz(-0.38334103665520924) q[5]; rx(1.2443196017130986) q[5]; cx q[2], q[5]; rz(-0.18637713368654088) q[5]; cx q[2], q[5]; cx q[2], q[6]; cx q[3], q[5]; rz(-0.18637713368654088) q[5]; cx q[3], q[5]; rz(-0.18637713368654088) q[6]; cx q[2], q[6]; rz(-0.5117418852889615) q[2]; rx(0.5644684160123565) q[2]; cx q[0], q[2]; rz(-0.8423368723357373) q[2]; cx q[0], q[2]; rz(0.789804315391633) q[0]; rx(-0.10531437823469258) q[0]; cx q[3], q[6]; rz(-0.18637713368654088) q[6]; cx q[3], q[6]; rz(0.4090104549107827) q[3]; rx(0.5644684160123565) q[3]; cx q[2], q[3]; rz(-0.8423368723357373) q[3]; cx q[2], q[3]; cx q[5], q[6]; rz(-0.18637713368654088) q[6]; cx q[5], q[6]; rz(-0.6245581817151091) q[6]; rx(0.5644684160123565) q[6]; cx q[1], q[6]; rz(-0.8423368723357373) q[6]; cx q[1], q[6]; rz(0.7169998203894821) q[1]; rx(-0.10531437823469265) q[1]; rz(0.5384084427806402) q[7]; rx(1.2443196017130982) q[7]; cx q[4], q[7]; rz(-0.18637713368654088) q[7]; cx q[4], q[7]; rz(-0.5237192854479074) q[4]; rx(0.5644684160123564) q[4]; cx q[3], q[4]; rz(-0.8423368723357373) q[4]; cx q[3], q[4]; cx q[5], q[7]; rz(-0.18637713368654088) q[7]; cx q[5], q[7]; rz(-0.9971909275482953) q[5]; rx(0.5644684160123565) q[5]; cx q[2], q[5]; rz(-0.8423368723357373) q[5]; cx q[2], q[5]; cx q[2], q[6]; cx q[3], q[5]; rz(-0.8423368723357373) q[5]; cx q[3], q[5]; rz(-0.8423368723357373) q[6]; cx q[2], q[6]; rz(0.12644468760616423) q[2]; rx(-0.10531437823469261) q[2]; cx q[3], q[6]; rz(-0.8423368723357373) q[6]; cx q[3], q[6]; rz(-0.4961399208250894) q[3]; rx(-0.10531437823469265) q[3]; cx q[5], q[6]; rz(-0.8423368723357373) q[6]; cx q[5], q[6]; rz(-0.10054078295115287) q[6]; rx(-0.10531437823469263) q[6]; rz(0.1965367041645738) q[7]; rx(0.5644684160123565) q[7]; cx q[4], q[7]; rz(-0.8423368723357373) q[7]; cx q[4], q[7]; rz(-0.39696492619059365) q[4]; rx(-0.10531437823469265) q[4]; cx q[5], q[7]; rz(-0.8423368723357373) q[7]; cx q[5], q[7]; rz(0.3443130680634221) q[5]; rx(-0.10531437823469267) q[5]; rz(0.789804315391633) q[7]; rx(-0.10531437823469258) q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(x0) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(x0) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(x0) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x4) q[3]; rz(x5) q[4]; rz(x6) q[5]; rz(x7) q[6]; rz(x2) q[7]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; h q[6]; rz(x8) q[6]; h q[6]; h q[7]; rz(x8) q[7]; h q[7]; cx q[1], q[0]; rz(x9) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x9) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(x9) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(x9) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x9) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x9) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(x9) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(x9) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x9) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x9) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(x9) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x9) q[7]; cx q[5], q[7]; rz(x10) q[1]; rz(x11) q[0]; rz(x12) q[2]; rz(x13) q[3]; rz(x14) q[4]; rz(x15) q[5]; rz(x16) q[6]; rz(x11) q[7]; h q[0]; rz(x17) q[0]; h q[0]; h q[1]; rz(x17) q[1]; h q[1]; h q[2]; rz(x17) q[2]; h q[2]; h q[3]; rz(x17) q[3]; h q[3]; h q[4]; rz(x17) q[4]; h q[4]; h q[5]; rz(x17) q[5]; h q[5]; h q[6]; rz(x17) q[6]; h q[6]; h q[7]; rz(x17) q[7]; h q[7]; cx q[1], q[0]; rz(x18) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x18) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(x18) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(x18) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x18) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x18) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(x18) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(x18) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x18) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x18) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(x18) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x18) q[7]; cx q[5], q[7]; rz(x19) q[1]; rz(x20) q[0]; rz(x21) q[2]; rz(x22) q[3]; rz(x23) q[4]; rz(x24) q[5]; rz(x25) q[6]; rz(x20) q[7]; h q[0]; rz(x26) q[0]; h q[0]; h q[1]; rz(x26) q[1]; h q[1]; h q[2]; rz(x26) q[2]; h q[2]; h q[3]; rz(x26) q[3]; h q[3]; h q[4]; rz(x26) q[4]; h q[4]; h q[5]; rz(x26) q[5]; h q[5]; h q[6]; rz(x26) q[6]; h q[6]; h q[7]; rz(x26) q[7]; h q[7]; cx q[1], q[0]; rz(x27) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x27) q[2]; cx q[0], q[2]; cx q[2], q[3]; rz(x27) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(x27) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x27) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x27) q[5]; cx q[3], q[5]; cx q[1], q[6]; rz(x27) q[6]; cx q[1], q[6]; cx q[2], q[6]; rz(x27) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x27) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x27) q[6]; cx q[5], q[6]; cx q[4], q[7]; rz(x27) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x27) q[7]; cx q[5], q[7]; rz(x28) q[1]; rz(x29) q[0]; rz(x30) q[2]; rz(x31) q[3]; rz(x32) q[4]; rz(x33) q[5]; rz(x34) q[6]; rz(x29) q[7]; h q[0]; rz(x35) q[0]; h q[0]; h q[1]; rz(x35) q[1]; h q[1]; h q[2]; rz(x35) q[2]; h q[2]; h q[3]; rz(x35) q[3]; h q[3]; h q[4]; rz(x35) q[4]; h q[4]; h q[5]; rz(x35) q[5]; h q[5]; h q[6]; rz(x35) q[6]; h q[6]; h q[7]; rz(x35) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"matching": "near_perfect", "extra": "{\"n\": 7}"}
{"circuits": [], "gradients": []}
[ "IIIIIIZZ", "IIIIIZIZ", "IIIIZZII", "IIIZZIII", "IIZIIZII", "IIZIZIII", "IZIIIIZI", "IZIIIZII", "IZIIZIII", "IZZIIIII", "ZIIZIIII", "ZIZIIIII", "IIIIIIZI", "IIIIIIIZ", "IIIIIZII", "IIIIZIII", "IIIZIIII", "IIZIIIII", "IZIIIIII", "ZIIIIIII" ]
[ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6.5, 1.5, 15, 8.5, 9.5, 14, 17.5, 1.5 ]
0.970097
[ 0.2759233039205356, -0.42938787334870315, 0.8844402004995082, -0.8144200522888211, 0.2801413587704371, -0.8114055882673806, -0.6665407615679289, -1.1405939395508837, -0.13413963661041667, -0.22536789211031555, -1.1314300218673012, 0.5384084427806397, -0.5755834086541328, 0.4727379585036260...
{ "n_parameters": 36, "n_qubits": 8, "optimal_eigenvalue": -67, "target_ratio": 0.97, "target_value": -64.99 }
49
-8267579693471636242
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 10, 12], [8, 4], [3, 4, 6, 7, 9], [11, 5, 7], [2, 6], [2, 3, 5, 7, 9], [0, 10, 6, 7], [0, 3, 5, 8, 12], [0, 2], [8, 1], [0, 7, 8, 9, 12], [3, 6, 7, 10, 11]]}
{"states": [6991, 7119], "expectation_value": -3.2089477884126127, "params": [1.518, 0.0019, 1.5144, 0.0043, 1.3638000000000001, -0.0018000000000000002, 1.3014000000000001, 0.0063, 0.014, 0.7889, 0.0219, 0.003, 1.3717000000000001, 0.010700000000000001, 1.2278, -0.009300000000000001, 1.5790000000000002, -0.003, 1.5792000000000002, 0.0005, 0.4345, -0.3583, 0.4661, -0.2461, 1.1587, -0.004, 1.1587, 0.007200000000000001, 0.8255, 0.0461, 0.7781, -0.6813, 0.0013000000000000002, -0.8313, 0.0092, 0.003, 0.9883000000000001, -0.007500000000000001, 1.3462, -0.0001, 1.5394, -0.0033, 1.5434, 0.0049, 0.9008, 0.0461, 1.1059, -0.031, 1.5746, -0.0027, 1.5783, 0.007500000000000001, 0.25620000000000004, 0.8386, -0.12150000000000001, 0.5449, 0.4032, 0.7745000000000001, -1.0169000000000001, 0.1809, -0.1096, 0.8035, 0.25270000000000004, 1.1319000000000001, 0.0061], "bitstrings": ["0010010110000", "0010000110000"], "total_optimization_steps": 170, "probabilities": [0.21247782473942434, 0.225497627713343], "optimization_time": 15.952486753463745}
0.16666666666666666 * (Z(2) @ Z(10)) + 0.16666666666666666 * (Z(12) @ Z(10)) + 0.16666666666666666 * (Z(12) @ Z(2)) + 0.1 * (Z(8) @ Z(12)) + 0.5 * (Z(4) @ Z(8)) + 0.05 * (Z(3) @ Z(10)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(12)) + 0.05 * (Z(3) @ Z(8)) + 0.05 * (Z(3) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(10)) + 0.5 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(10)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(12)) + 0.05 * (Z(7) @ Z(8)) + 0.05 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(7) @ Z(3)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.05 * (Z(9) @ Z(2)) + 0.05 * (Z(9) @ Z(12)) + 0.05 * (Z(9) @ Z(8)) + 0.05 * (Z(9) @ Z(4)) + 0.1 * (Z(9) @ Z(3)) + 0.05 * (Z(9) @ Z(6)) + 0.15000000000000002 * (Z(9) @ Z(7)) + 0.05 * (Z(11) @ Z(10)) + 0.05 * (Z(11) @ Z(3)) + 0.05 * (Z(11) @ Z(6)) + 0.21666666666666667 * (Z(11) @ Z(7)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(12)) + 0.05 * (Z(5) @ Z(8)) + 0.1 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(7)) + 0.05 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(11)) + 0.08333333333333333 * (Z(0) @ Z(10)) + 0.5 * (Z(0) @ Z(2)) + 0.1 * (Z(0) @ Z(12)) + 0.1 * (Z(0) @ Z(8)) + 0.05 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.13333333333333333 * (Z(0) @ Z(7)) + 0.05 * (Z(0) @ Z(9)) + 0.05 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.3916666666666667 * Z(10) + 0.26666666666666683 * Z(2) + 0.3666666666666667 * Z(12) + 0.19999999999999996 * Z(8) + 0.1000000000000002 * Z(4) + 0.4 * Z(3) + 0.32499999999999996 * Z(6) + 0.6916666666666667 * Z(7) + 0.30000000000000004 * Z(9) + 0.26666666666666666 * Z(11) + 0.3666666666666667 * Z(5) + 0.3250000000000002 * Z(0) + 0.0 * Z(1)
8
13
1
{"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7166666666666672, "smallest_bitstrings": ["0010000110000"], "largest_eigenvalue": 10.000000000000004}
OPENQASM 3.0; include "stdgates.inc"; qubit[13] q; rx(1.3183484338695968) q[0]; rz(1.4509458171337837) q[0]; rx(1.6849261849233979) q[1]; rz(-0.06230111510999069) q[1]; cx q[1], q[0]; ry(-0.1387358086704511) q[0]; cx q[1], q[0]; ry(1.8508714220761777) q[0]; rz(-1.5594681664138035) q[0]; rx(1.474800703618895) q[1]; rz(1.1119087606016311) q[1]; rx(0.14126436992389127) q[2]; rz(2.5416324771351793) q[2]; rx(1.1278985412780123) q[3]; rz(-0.4053817450642663) q[3]; cx q[3], q[2]; ry(-0.017664626429262364) q[2]; cx q[3], q[2]; ry(-0.03602269805726048) q[2]; rz(-1.5928097206207497) q[2]; cx q[2], q[1]; ry(-0.37092275760904814) q[1]; cx q[2], q[1]; ry(0.37092275760904814) q[1]; rz(-pi/2) q[1]; rx(1.2460131659832374) q[3]; rz(1.4141630230687516) q[3]; rx(1.5355486955055546) q[4]; rz(1.6077543726935861) q[4]; rx(1.0248974722120814) q[5]; rz(-0.3265730298067536) q[5]; cx q[5], q[4]; ry(-0.1925347092736671) q[4]; cx q[5], q[4]; ry(1.7749329148994337) q[4]; rz(-1.4385923231967452) q[4]; cx q[4], q[3]; ry(-0.2525546560541481) q[3]; cx q[4], q[3]; ry(0.2525546560541481) q[3]; rz(-pi/2) q[3]; rx(0.5899016661089982) q[5]; rz(1.6724198013209817) q[5]; rx(1.5455365441551523) q[6]; rz(1.5985232906386129) q[6]; rx(0.05350706196555521) q[7]; rz(0.523147200918351) q[7]; cx q[7], q[6]; ry(0.5860082323335779) q[6]; cx q[7], q[6]; ry(0.9595283118215743) q[6]; rz(-1.3404167381671501) q[6]; cx q[6], q[5]; ry(-0.5981576312732213) q[5]; cx q[6], q[5]; ry(0.5981576312732213) q[5]; rz(-pi/2) q[5]; rx(0.22859080913505858) q[7]; rz(0.7340782127300765) q[7]; rx(0.011406040601249366) q[8]; rz(0.7050198774554541) q[8]; rx(0.9395072790481541) q[9]; rz(-0.11830993485016442) q[9]; cx q[9], q[8]; ry(-0.012153902431166784) q[8]; cx q[9], q[8]; ry(-0.10999630518074688) q[8]; rz(-1.5928097206207497) q[8]; cx q[8], q[7]; ry(0.1556769112516722) q[7]; cx q[8], q[7]; ry(-0.1556769112516722) q[7]; rz(-pi/2) q[7]; rx(1.3578582347900165) q[9]; rz(1.7251117843626913) q[9]; rx(1.4749045764730215) q[10]; rz(1.4583735522450256) q[10]; rx(0.6377818935373605) q[11]; rz(0.523147200918351) q[11]; cx q[11], q[10]; ry(-0.24381849686030055) q[10]; cx q[11], q[10]; ry(1.7630540966279227) q[10]; rz(-1.8079579203925356) q[10]; cx q[10], q[9]; ry(-0.41875144034473066) q[9]; cx q[10], q[9]; ry(0.41875144034473066) q[9]; rz(-pi/2) q[9]; rx(1.2761529089118726) q[11]; rz(1.451256101726166) q[11]; rz(-1.093566634110359) q[12]; ry(2.9770421101815616) q[12]; rz(2.042787319479994) q[12]; cx q[12], q[11]; ry(-0.6024531146583011) q[11]; cx q[12], q[11]; ry(0.6024531146583011) q[11]; rz(-pi/2) q[11];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x7; input float[64] x8; input float[64] x9; bit[13] c; qubit[13] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; rx(x20) q[10]; rz(x21) q[10]; rx(x22) q[11]; rz(x15) q[11]; rx(x23) q[12]; rz(x24) q[12]; crx(x25) q[1], q[0]; crx(x26) q[3], q[2]; crx(x27) q[5], q[4]; crx(x28) q[7], q[6]; crx(x29) q[9], q[8]; crx(x30) q[11], q[10]; rx(x31) q[0]; rz(x32) q[0]; rx(x33) q[1]; rz(x34) q[1]; rx(x35) q[2]; rz(x36) q[2]; rx(x37) q[3]; rz(x38) q[3]; rx(x39) q[4]; rz(x40) q[4]; rx(x41) q[5]; rz(x42) q[5]; rx(x12) q[6]; rz(x43) q[6]; rx(x44) q[7]; rz(x45) q[7]; rx(x46) q[8]; rz(x36) q[8]; rx(x47) q[9]; rz(x48) q[9]; rx(x49) q[10]; rz(x50) q[10]; rx(x51) q[11]; rz(x52) q[11]; rx(x53) q[12]; rz(x54) q[12]; crx(x55) q[2], q[1]; crx(x56) q[4], q[3]; crx(x57) q[6], q[5]; crx(x58) q[8], q[7]; crx(x59) q[10], q[9]; crx(x60) q[12], q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
null
{"circuits": [], "gradients": []}
[ "IIZIIIIIIIZII", "ZIZIIIIIIIIII", "ZIIIIIIIIIZII", "ZIIIZIIIIIIII", "IIIIZIIIZIIII", "IIZIIIIIIZIII", "IIIIIIIIIZZII", "ZIIIIIIIIZIII", "IIIIZIIIIZIII", "IIIIIIIIZZIII", "IIZIIIZIIIIII", "IIIIIIZIIIZII", "IIIIIIZIZIIII", "IIIIIIZIIZIII", "IIZIIZIIIIIII", "IIIIIZIIIIZII", "ZIIIIZIIIII...
[ 0.16666666666666666, 0.16666666666666666, 0.16666666666666666, 0.1, 0.5, 0.05, 0.05, 0.05, 0.05, 0.05, 0.13333333333333333, 0.5, 0.05, 0.1, 0.13333333333333333, 0.05, 0.05, 0.05, 0.05, 0.15000000000000002, 0.18333333333333335, 0.05, 0.05, 0.05, 0.05, 0.1, 0.05, ...
0.970356
[ 1.3183484338695968, -0.11985050966111248, 1.6849261849233979, -0.06230111510999069, 0.14126436992389124, 0.9708361503402831, 1.1278985412780123, -0.4053817450642663, 1.5355486955055548, 0.03695804589868992, 1.0248974722120814, -0.3265730298067536, 1.5455365441551523, 0.0277269638437165, ...
{ "n_parameters": 61, "n_qubits": 13, "optimal_eigenvalue": -3.9166666666666665, "target_ratio": 0.97, "target_value": -3.7991666666666664 }
17
5144181ac27497fdfa9bdb5b8b799630
graph_isomorphism
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]}
{"states": [235, 427], "expectation_value": -6.516720859775182, "params": null, "bitstrings": ["100010100", "001010100"], "total_optimization_steps": 71, "probabilities": [0.10732474291520576, 0.8012628927503078], "optimization_time": 162.85951900482178}
0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 1.25 * Z(1) + 1.25 * Z(2) + 1.25 * Z(0) + 1.25 * Z(5) + 1.0 * Z(4) + 1.25 * Z(3) + 1.25 * Z(8) + 1.25 * Z(7) + 1.25 * Z(6)
1
9
2
{"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"], "largest_eigenvalue": 21.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[2] q; h q[0]; ry(-1.5486225528998339) q[0]; h q[1]; ry(-1.5451929801415893) q[1];
null
{"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\ncry(-0.001) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\ncry(-0.001) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\ncry(-0.001) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\ncry(-0.001) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\n"], "gradients": [1.2436, 1.2407, 0.9895, 0.2535, 0.4584, 0.4558, 0.7008, 0.4696, 0.443, 0.6521, 0.531, 0.4266, 0.2526, 0.1924, 0.1154, 0.1056, 0.0798, 0.0408, 0.0394, 0.0245, 0.0114, 0.01, 0.009, 0.0087, 0.0083, 0.0079, 0.0077, 0.0075, 0.0075, 0.0075, 0.0074, 0.0072, 0.0068, 0.0064, 0.0063, 0.0062, 0.0061, 0.006, 0.006, 0.0056, 0.0055, 0.0055, 0.0053, 0.0053, 0.0053, 0.0051, 0.005, 0.005, 0.0048, 0.0046, 0.0046, 0.0046, 0.0045, 0.0045, 0.0045, 0.0042, 0.0042, 0.0041, 0.0041, 0.0063, 0.004, 0.0039, 0.0037, 0.0037, 0.0037, 0.0037, 0.0035, 0.0038, 0.0035, 0.0034, 0.003]}
[ "IIIIIIZZI", "IIIIIIIZZ", "IIIIIIZIZ", "IIIZIIZII", "IIIZIIIIZ", "IIIIZIIZI", "IIIZZIIII", "IIIIIZIIZ", "IIIZIZIII", "IIIIZZIII", "ZIIIIIZII", "ZIIZIIIII", "ZIIIIZIII", "IZIIIIIZI", "IZIIIIZII", "IZIIZIIII", "ZZIIIIIII", "IIZIIIIZI", "IIZIIIIIZ", "IIZIIZIII", "ZIZIIIIII", "...
[ 0.5, 0.5, 0.5, 0.5, 0.25, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.25, 0.5, 0.25, 0.5, 0.5, 0.25, 0.5, 0.5, 0.5, 0.5, 1.25, 1.25, 1.25, 1.25, 1, 1.25, 1.25, 1.25, 1.25 ]
0.999809
[ -1.5486225528998339, -1.5451929801415893 ]
{ "n_parameters": 2, "n_qubits": 2, "optimal_eigenvalue": -1.5, "target_ratio": 0.97, "target_value": -1.455 }
1
cf63e2458a0741acd2ef8c128602eb3a
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 4, "target": 6}]}
{"states": [1786, 1722], "expectation_value": -3.0326230685247433, "params": [1.75, 0.0019, 2.7086, 0.0047, 0.48510000000000003, 0.0032, 2.7004, 0.0083, 1.5164, 0.0082, 2.697, 0.006500000000000001, 2.7004, 0.0079, 2.7085000000000004, 0.0058000000000000005, -0.0027, 0.0073, 2.7059, 0.0056, 0.1691, 0.009600000000000001, 0.0022, 0.0044, 0.004200000000000001, 0.0059, 0.0068000000000000005, 0.0022, 0.0056, 0.0092, 0.0023, 0.0011, 0.0028, 0.0055000000000000005, 0.0045000000000000005, 0.0044, 0.006500000000000001, 0.0092, 0.0019, 0.0035, 0.0039000000000000003, 0.0015, 0.0089, 0.009300000000000001], "bitstrings": ["00100000101", "00101000101"], "total_optimization_steps": 270, "probabilities": [0.19494783916363564, 0.21734703921169038], "optimization_time": 11.373018026351929}
0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(5)) + -0.0625 * (Z(0) @ Z(6) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(6) @ Z(4)) + -0.0625 * (Z(0) @ Z(6) @ Z(5)) + -0.0625 * (Z(3) @ Z(4) @ Z(5)) + -0.0625 * (Z(6) @ Z(3) @ Z(4)) + -0.0625 * (Z(6) @ Z(3) @ Z(5)) + -0.0625 * (Z(6) @ Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(3) @ Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(6) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(6) @ Z(3) @ Z(5)) + 0.0625 * (Z(0) @ Z(6) @ Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(3) @ Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(3) @ Z(5) @ Z(6) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(3) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(1) @ Z(3) @ Z(7)) + -0.125 * (Z(1) @ Z(3) @ Z(8)) + -0.125 * (Z(1) @ Z(8) @ Z(7)) + -0.125 * (Z(7) @ Z(3) @ Z(8)) + 0.125 * (Z(1) @ Z(3) @ Z(8) @ Z(7)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(9)) + 0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(2) @ Z(4) @ Z(9)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(10) @ Z(5)) + 0.125 * (Z(7) @ Z(9)) + 0.125 * (Z(7) @ Z(10)) + 0.125 * (Z(10) @ Z(9)) + -0.125 * (Z(7) @ Z(9) @ Z(5)) + -0.125 * (Z(7) @ Z(10) @ Z(5)) + -0.125 * (Z(10) @ Z(9) @ Z(5)) + -0.125 * (Z(7) @ Z(10) @ Z(9)) + 0.125 * (Z(7) @ Z(10) @ Z(9) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 0.1875 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + 0.3125 * Z(3) + 0.1875 * Z(4) + 0.3125 * Z(5) + -0.0625 * Z(6) + 0.25 * Z(7) + -0.625 * Z(8) + 0.125 * Z(9) + -0.125 * Z(10)
16
11
1
{"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00101000101", "00100011100", "00100010110", "00100010101", "01000010110", "01001000101", "00110000101", "10000010110", "10000000111", "10100000101", "10001000101", "00100110100", "00100100101"], "largest_eigenvalue": 6.1875}
OPENQASM 3.0; include "stdgates.inc"; qubit[11] q; rx(0.3269969770889281) q[0]; rz(-0.5504036056506698) q[0]; rx(0.35954196878096667) q[1]; rz(-0.012404751640308812) q[1]; cx q[1], q[0]; rz(0.228453187285069) q[0]; cx q[1], q[0]; rz(1.5964531905415136) q[0]; ry(0.9908209005626359) q[0]; rz(-1.7445090548379003) q[0]; rx(0.3301604016713491) q[1]; rz(-0.20597512551755592) q[1]; rx(0.23307960273110617) q[2]; rz(-0.03543768154285143) q[2]; rx(0.42336248146771394) q[3]; rz(0.3708386300171518) q[3]; cx q[3], q[2]; rz(-0.0509254441251112) q[2]; cx q[3], q[2]; rx(-0.2868802498142729) q[2]; rz(-0.008944736984342144) q[2]; cx q[2], q[1]; rz(-0.04133153468815266) q[1]; cx q[2], q[1]; rx(0.4362274021015544) q[1]; rz(0.024927455634094445) q[1]; cx q[1], q[0]; rz(0.04801921106621409) q[0]; cx q[1], q[0]; rz(1.5921015527583053) q[0]; ry(0.6557649349240511) q[0]; rz(-1.2451832410140378) q[0]; rx(0.5401598420692427) q[1]; rz(-0.1887991216366518) q[1]; rx(0.17068971838885877) q[2]; rz(-0.0669995698025061) q[2]; rx(0.11257168991592269) q[3]; rz(-0.15965740086585756) q[3]; rx(0.16222528504940442) q[4]; rz(-0.1574029038225575) q[4]; rx(0.219072816073935) q[5]; rz(0.017256355300506152) q[5]; cx q[5], q[4]; rz(-0.060241046810430916) q[4]; cx q[5], q[4]; rx(0.23104956257990014) q[4]; rz(0.10317252733836485) q[4]; cx q[4], q[3]; rz(-0.06257549376657859) q[3]; cx q[4], q[3]; rx(0.35954196878096667) q[3]; rz(-0.2913561200189643) q[3]; cx q[3], q[2]; rz(-0.04210751206839489) q[2]; cx q[3], q[2]; rx(0.14226223630412635) q[2]; rz(0.3781575074834384) q[2]; cx q[2], q[1]; rz(-0.08403904533122852) q[1]; cx q[2], q[1]; rx(0.5954239986561706) q[1]; rz(0.13330363002691106) q[1]; cx q[1], q[0]; rz(0.16590131785116746) q[0]; cx q[1], q[0]; rz(1.3857936532803832) q[0]; ry(0.5359918236374667) q[0]; rz(-1.7126127798763175) q[0]; rx(0.32902129853407586) q[1]; rz(0.2292540932706535) q[1]; rx(-0.2555729214896228) q[2]; rz(0.6769197930093966) q[2]; rx(0.3634800012498047) q[3]; rz(0.023490036929625813) q[3]; rx(0.7921713357152808) q[4]; rz(-0.022524603938748555) q[4]; rx(0.40223533875809486) q[5]; rz(0.3074327956141967) q[5]; rx(0.018422323753940453) q[6]; rz(0.049273053623805296) q[6]; rx(0.25978932521438475) q[7]; rz(0.3716572006342719) q[7]; cx q[7], q[6]; rz(0.07307342480031973) q[6]; cx q[7], q[6]; rx(0.26689416332716304) q[6]; rz(0.008220190099422625) q[6]; cx q[6], q[5]; rz(-0.08018944897008067) q[5]; cx q[6], q[5]; rx(0.4582490957136804) q[5]; rz(-0.09056783472177717) q[5]; cx q[5], q[4]; rz(-0.07518836332512258) q[4]; cx q[5], q[4]; rx(0.5996236140195332) q[4]; rz(-0.02428246907413885) q[4]; cx q[4], q[3]; rz(0.07830887688872962) q[3]; cx q[4], q[3]; rx(0.4227711212129371) q[3]; rz(0.10738015205623723) q[3]; cx q[3], q[2]; rz(-0.11563899886793214) q[2]; cx q[3], q[2]; rx(-0.04942609396293681) q[2]; rz(0.17068971838885877) q[2]; cx q[2], q[1]; rz(-0.1112379488727711) q[1]; cx q[2], q[1]; rx(0.33931827085204525) q[1]; rz(0.15902608399909451) q[1]; cx q[1], q[0]; rz(0.008935496995701168) q[0]; cx q[1], q[0]; rx(0.7172314796378046) q[0]; rz(-0.040526960371284775) q[0]; rx(0.3393182708520453) q[1]; rz(-0.07145078830152451) q[1]; rx(0.06763597042564232) q[2]; rz(-0.03815419625339356) q[2]; rx(0.31065332973529713) q[3]; rz(-0.06082385341482599) q[3]; rx(0.28703979290694215) q[4]; rz(0.07365754734908903) q[4]; rx(0.219072816073935) q[5]; rz(0.11266861115453075) q[5]; rx(-0.17864764581707554) q[6]; rz(0.17438038220675978) q[6]; rx(0.5752713375001292) q[7]; rz(-0.40159990250337163) q[7]; rx(0.15902608399909451) q[8]; rz(0.0001985273303719559) q[8]; rx(0.5411431022375541) q[9]; rz(0.31739116660107597) q[9]; cx q[9], q[8]; rz(0.06465894290157721) q[8]; cx q[9], q[8]; rx(-0.116270034084506) q[8]; rz(0.00651157612257142) q[8]; cx q[8], q[7]; rz(0.020486852580914518) q[7]; cx q[8], q[7]; rx(0.3602020156948455) q[7]; rz(-0.16850490349304667) q[7]; cx q[7], q[6]; rz(0.09716706529114988) q[6]; cx q[7], q[6]; rx(0.016523868121350857) q[6]; rz(0.27154744749791065) q[6]; cx q[6], q[5]; rz(-0.10369555506308886) q[5]; cx q[6], q[5]; rx(0.43577060398722417) q[5]; rz(-0.09056783472177717) q[5]; cx q[5], q[4]; rz(0.03314714717088816) q[4]; cx q[5], q[4]; rx(0.5996236140195332) q[4]; rz(-0.0977129672638713) q[4]; cx q[4], q[3]; rz(-0.026071343557222206) q[3]; cx q[4], q[3]; rx(0.7172314796378046) q[3]; rz(0.09566449174247281) q[3]; cx q[3], q[2]; rz(0.0841410075820737) q[2]; cx q[3], q[2]; rx(0.1031949164828719) q[2]; rz(0.30855625744458115) q[2]; cx q[2], q[1]; rz(-0.0030865367017963025) q[1]; cx q[2], q[1]; rx(0.5954239986561706) q[3]; rz(-0.07570053114984665) q[3]; rx(0.5010991225353907) q[4]; rz(0.21683884163731815) q[4]; rx(0.3387915602433645) q[5]; rz(0.4121153358242582) q[5]; rx(0.09834125344737296) q[6]; rz(0.09062077959738524) q[6]; rx(0.31065332973529713) q[7]; rz(-0.24256368257799465) q[7]; rx(0.10317252733836484) q[8]; rz(-0.02670996298785777) q[8]; rx(0.5752713375001293) q[9]; rz(-0.09452259629966964) q[9]; rz(1.3405356974263176) q[10]; ry(0.06058887900366061) q[10]; rz(-1.5097050167404256) q[10]; cx q[10], q[9]; rz(-0.07377907343412099) q[9]; cx q[10], q[9]; rz(1.5503183611652522) q[10]; ry(0.011930981094211188) q[10]; rz(-1.6663991399912625) q[10]; rx(0.6135609793627579) q[9]; rz(0.2668612341144666) q[9]; cx q[9], q[8]; rz(-0.07368456928093103) q[8]; cx q[9], q[8]; rx(-0.3720142225863878) q[8]; rz(0.057911376749912286) q[8]; cx q[8], q[7]; rz(0.20064543529200662) q[7]; cx q[8], q[7]; rx(0.3447273325181433) q[7]; rz(-0.10437534204850192) q[7]; cx q[7], q[6]; rz(0.038101150691118454) q[6]; cx q[7], q[6]; rx(-0.01104773437867837) q[6]; rz(0.2595676965412061) q[6]; cx q[6], q[5]; rz(-0.21643278662122456) q[5]; cx q[6], q[5]; rx(0.6124128316693854) q[5]; rz(-0.040882085745612154) q[5]; cx q[5], q[4]; rz(-0.059840895809480085) q[4]; cx q[5], q[4]; rx(0.13081985520693593) q[4]; rz(-0.03526829196153991) q[4]; cx q[4], q[3]; rz(-0.06459690045459067) q[3]; cx q[4], q[3]; rx(0.4582490957136804) q[5]; rz(-0.03860736080126159) q[5]; rx(0.15460480033043073) q[6]; rz(0.017370930634663218) q[6]; rx(0.7172314796378048) q[7]; rz(0.19555832833837794) q[7]; rx(-0.053880463654936324) q[8]; rz(0.4718633552997282) q[8]; rx(0.3595419687809666) q[9]; rz(-0.07707224966543169) q[9]; cx q[10], q[9]; rz(0.05278978059129272) q[9]; cx q[10], q[9]; rz(1.4156628530310522) q[10]; ry(0.08240890865191894) q[10]; rz(-1.8078576674842435) q[10]; rx(0.23345280275203292) q[9]; rz(-0.09056783472177717) q[9]; cx q[9], q[8]; rz(0.052331419346793126) q[8]; cx q[9], q[8]; rx(-0.016835539775160398) q[8]; rz(0.09127143951194053) q[8]; cx q[8], q[7]; rz(0.10756116907478967) q[7]; cx q[8], q[7]; rx(0.4690761335916963) q[7]; rz(0.04998976025638652) q[7]; cx q[7], q[6]; rz(0.11135099965384054) q[6]; cx q[7], q[6]; rx(-0.3625624001799374) q[6]; rz(0.4433322392803257) q[6]; cx q[6], q[5]; rz(0.020985471706094827) q[5]; cx q[6], q[5]; rx(0.11257168991592269) q[7]; rz(0.019899275512100356) q[7]; rx(0.10317252733836485) q[8]; rz(-0.022398655659205957) q[8]; rx(0.5855485647259894) q[9]; rz(-0.3715971736310073) q[9]; cx q[10], q[9]; rz(-0.028041020034926936) q[9]; cx q[10], q[9]; rz(1.801188825688329) q[10]; ry(0.07600750911012455) q[10]; rz(-1.395771042666767) q[10]; rx(0.3106533297352971) q[9]; rz(-0.23833869945469927) q[9]; cx q[9], q[8]; rz(0.0981824474823957) q[8]; cx q[9], q[8]; rx(0.19349465547962258) q[8]; rz(-0.21644610075297788) q[8]; cx q[8], q[7]; rz(-0.060426235883385346) q[7]; cx q[8], q[7]; rx(0.0312786759696316) q[9]; rz(-0.27898703511052947) q[9]; cx q[10], q[9]; rz(0.12236928133307014) q[9]; cx q[10], q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x6) q[6]; rz(x12) q[6]; rx(x13) q[7]; rz(x14) q[7]; rx(x15) q[8]; rz(x16) q[8]; rx(x17) q[9]; rz(x18) q[9]; rx(x19) q[10]; rz(x20) q[10]; crz(x21) q[1], q[0]; crz(x22) q[3], q[2]; crz(x23) q[5], q[4]; crz(x24) q[7], q[6]; crz(x1) q[9], q[8]; crz(x25) q[2], q[1]; crz(x26) q[4], q[3]; crz(x27) q[6], q[5]; crz(x26) q[8], q[7]; crz(x28) q[10], q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIIIZZ", "IIIIIIIIZIZ", "IIIIIIIIZZI", "IIIIIIIIZZZ", "IIIIIIIZIIZ", "IIIIIIZIIIZ", "IIIIIZIIIIZ", "IIIIZIIIIIZ", "IIIIIIZZIII", "IIIIIZIZIII", "IIIIZIIZIII", "IIIIIZZIIII", "IIIIZIZIIII", "IIIIZZIIIII", "IIIIIIZZIIZ", "IIIIIZIZIIZ", "IIIIZIIZIIZ", "IIIIIZZIIIZ", "IIIIZIZII...
[ 0.25, 0.25, 0.25, -0.25, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, -0.0625, 0.125, 0.1...
0.972321
[ 0.3269969770889281, -0.3219504183656007, 0.35954196878096667, -0.012404751640308812, 0.23307960273110617, -0.08636312566796234, 0.42336248146771394, 0.3708386300171518, 0.1622252850494044, -0.21764395063298858, 0.219072816073935, 0.017256355300506152, 0.01842232375394045, 0.122346478424125...
{ "n_parameters": 187, "n_qubits": 11, "optimal_eigenvalue": -3.8125, "target_ratio": 0.97, "target_value": -3.698125 }
33
0f435eed505f807fb8dc44643dfd43ce
vertex_cover
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]}
{"states": [5, 20], "expectation_value": -2.973039785722057, "params": null, "bitstrings": ["11010", "01011"], "total_optimization_steps": 15, "probabilities": [0.07436433115379543, 0.8991266787991344], "optimization_time": 14.7382652759552}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2)
1
5
1
{"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"], "largest_eigenvalue": 8.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; h q[0]; h q[1]; cx q[1], q[0]; rz(0.366669122515066) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(0.366669122515066) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.366669122515066) q[2]; cx q[0], q[2]; h q[3]; cx q[0], q[3]; rz(0.366669122515066) q[3]; cx q[0], q[3]; h q[4]; cx q[1], q[4]; rz(0.366669122515066) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(0.366669122515066) q[4]; cx q[3], q[4]; h q[5]; cx q[2], q[5]; rz(0.366669122515066) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.366669122515066) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.366669122515066) q[5]; cx q[4], q[5]; h q[6]; cx q[0], q[6]; rz(0.366669122515066) q[6]; cx q[0], q[6]; rz(0.6186240853904676) q[0]; rx(-0.8045916182441788) q[0]; cx q[3], q[6]; rz(0.366669122515066) q[6]; cx q[3], q[6]; rz(0.6186240853904676) q[3]; rx(-0.8045916182441788) q[3]; h q[7]; cx q[1], q[7]; rz(0.366669122515066) q[7]; cx q[1], q[7]; rz(0.6186240853904676) q[1]; rx(-0.8045916182441788) q[1]; cx q[4], q[7]; rz(0.366669122515066) q[7]; cx q[4], q[7]; rz(0.6186240853904676) q[4]; rx(-0.8045916182441788) q[4]; cx q[6], q[7]; rz(0.366669122515066) q[7]; cx q[6], q[7]; h q[8]; cx q[2], q[8]; rz(0.366669122515066) q[8]; cx q[2], q[8]; rz(0.6186240853904676) q[2]; rx(-0.8045916182441788) q[2]; cx q[5], q[8]; rz(0.366669122515066) q[8]; cx q[5], q[8]; rz(0.6186240853904676) q[5]; rx(-0.8045916182441788) q[5]; cx q[6], q[8]; rz(0.366669122515066) q[8]; cx q[6], q[8]; rz(0.6186240853904676) q[6]; rx(-0.8045916182441788) q[6]; cx q[7], q[8]; rz(0.366669122515066) q[8]; cx q[7], q[8]; rz(0.6186240853904676) q[7]; rx(-0.8045916182441788) q[7]; rz(0.6186240853904676) q[8]; rx(-0.8045916182441788) q[8];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\ncry(-0.0722) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\ncry(-0.0722) q[4], q[0];\ncry(0.0286) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\ncry(-0.0722) q[4], q[0];\ncry(0.0286) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\ncry(-0.0722) q[4], q[0];\ncry(0.0286) q[4], q[2];\ncry(-0.008) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nry(-1.4449) q[1];\nry(1.4449) q[2];\ncry(-1.0398) q[0], q[4];\nry(0.6944) q[0];\nry(-0.451) q[4];\ncry(0.4963) q[2], q[0];\ncry(-0.3778) q[2], q[4];\ncry(-0.1177) q[2], q[1];\ncry(0.1069) q[0], q[2];\ncry(-0.0722) q[4], q[0];\ncry(0.0286) q[4], q[2];\ncry(-0.008) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n"], "gradients": [1.5075, 0.5028, 0.5, 0.2527, 0.2435, 0.1872, 0.223, 0.188, 0.061, 0.0517, 0.0157, 0.0062, 0.0044, 0.0044, 0.003]}
[ "IIIZZ", "IZIZI", "IZIIZ", "ZIIZI", "ZIIIZ", "ZZIII", "IZZII", "IIIZI", "IIIIZ", "IZIII", "ZIIII", "IIZII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1, -1, -1.5, -1, 0 ]
0.608376
[ 0.366669122515066, 0.6186240853904678, -0.8045916182441789 ]
{ "n_parameters": 3, "n_qubits": 9, "optimal_eigenvalue": -6, "target_ratio": 0.97, "target_value": -5.82 }
106
e4f5057259aaeddd1dd7f4f1ea49da8b
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 6, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6}, {"capacity": 3, "source": 3, "target": 7}, {"capacity": 1, "source": 4, "target": 5}, {"capacity": 4, "source": 6, "target": 4}]}
{"states": [65, 1], "expectation_value": -1.8410192210227627, "params": [[0.0756], [-0.0834]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006933476326426773, 0.007157859159294722], "optimization_time": 1.9655706882476807}
-1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25 * Z(6) + 0.75 * Z(1) + -0.5 * Z(2) + 3.5 * Z(7)
1
8
1
{"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["11111110", "10111110"], "largest_eigenvalue": 18.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; cx q[3], q[0]; rz(0.022546435908237288) q[0]; cx q[3], q[0]; h q[4]; cx q[0], q[4]; rz(0.14518918596484848) q[4]; cx q[0], q[4]; h q[5]; cx q[0], q[5]; rz(0.022546435908237288) q[5]; cx q[0], q[5]; cx q[4], q[5]; rz(0.7517255380687702) q[5]; cx q[4], q[5]; rz(0.14518918596484864) q[5]; rx(1.651415223878122) q[5]; h q[6]; cx q[3], q[6]; rz(0.6453322187153919) q[6]; cx q[3], q[6]; cx q[3], q[2]; rz(0.14518918596484848) q[2]; cx q[3], q[2]; cx q[4], q[6]; rz(0.0005547510135491637) q[6]; cx q[4], q[6]; cx q[4], q[2]; rz(0.0005547510135491637) q[2]; cx q[4], q[2]; rz(0.6453322187153918) q[2]; rx(1.6514152238781217) q[2]; rz(1.2276522599760762) q[4]; rx(1.6514152238781217) q[4]; cx q[6], q[1]; rz(0.01648942695497035) q[1]; cx q[6], q[1]; rz(-0.7579580526703533) q[1]; rx(1.6514152238781215) q[1]; rz(0.7517255380687704) q[6]; rx(1.651415223878122) q[6]; h q[7]; cx q[3], q[7]; rz(0.01648942695497035) q[7]; cx q[3], q[7]; cx q[0], q[7]; rz(0.7103534844820354) q[3]; rx(1.6514152238781217) q[3]; rz(-0.24567836598873122) q[7]; cx q[0], q[7]; rz(0.7517255380687704) q[0]; rx(1.651415223878122) q[0]; cx q[3], q[0]; rz(0.05475463053088248) q[0]; cx q[3], q[0]; cx q[0], q[4]; cx q[3], q[6]; rz(0.2385240506869008) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(0.05475463053088248) q[5]; cx q[0], q[5]; cx q[4], q[5]; rz(1.2247875516711657) q[5]; cx q[4], q[5]; rz(0.23852405068690086) q[5]; rx(0.9303939118085653) q[5]; rz(1.3366860636653757) q[6]; cx q[3], q[6]; cx q[3], q[2]; rz(0.2385240506869008) q[2]; cx q[3], q[2]; cx q[4], q[6]; rz(0.011511210945832634) q[6]; cx q[4], q[6]; cx q[4], q[2]; rz(0.011511210945832634) q[2]; cx q[4], q[2]; rz(1.3366860636653755) q[2]; rx(0.9303939118085653) q[2]; rz(1.3008851239697377) q[4]; rx(0.9303939118085653) q[4]; cx q[6], q[1]; rz(0.04124235507975827) q[1]; cx q[6], q[1]; rz(-1.6736456719396204) q[1]; rx(0.9303939118085653) q[1]; rz(1.2247875516711657) q[6]; rx(0.9303939118085653) q[6]; rz(-0.6595794244215516) q[7]; rx(1.6514152238781217) q[7]; cx q[3], q[7]; rz(0.04124235507975827) q[7]; cx q[3], q[7]; cx q[0], q[7]; rz(0.6553817742012735) q[3]; rx(0.9303939118085653) q[3]; rz(-0.39426016088620314) q[7]; cx q[0], q[7]; rz(1.2247875516711657) q[0]; rx(0.9303939118085653) q[0]; rz(-1.3826985329269141) q[7]; rx(0.9303939118085653) q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[3], q[0]; rz(x0) q[0]; cx q[3], q[0]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[4], q[5]; rz(x2) q[5]; cx q[4], q[5]; cx q[3], q[6]; rz(x3) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x4) q[6]; cx q[4], q[6]; cx q[6], q[1]; rz(x5) q[1]; cx q[6], q[1]; cx q[3], q[2]; rz(x1) q[2]; cx q[3], q[2]; cx q[4], q[2]; rz(x4) q[2]; cx q[4], q[2]; cx q[3], q[7]; rz(x5) q[7]; cx q[3], q[7]; cx q[0], q[7]; rz(x6) q[7]; cx q[0], q[7]; rz(x7) q[3]; rz(x2) q[0]; rz(x8) q[4]; rz(x1) q[5]; rz(x2) q[6]; rz(x9) q[1]; rz(x3) q[2]; rz(x10) q[7]; h q[0]; rz(x11) q[0]; h q[0]; h q[1]; rz(x11) q[1]; h q[1]; h q[2]; rz(x11) q[2]; h q[2]; h q[3]; rz(x11) q[3]; h q[3]; h q[4]; rz(x11) q[4]; h q[4]; h q[5]; rz(x11) q[5]; h q[5]; h q[6]; rz(x11) q[6]; h q[6]; h q[7]; rz(x11) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"source": 0, "sink": 7}
{"circuits": [], "gradients": []}
[ "IIIIZIIZ", "IIIZIIIZ", "IIZIIIIZ", "IIZZIIII", "IZIIZIII", "IZIZIIII", "IZIIIIZI", "IIIIZZII", "IIIZIZII", "ZIIIZIII", "ZIIIIIIZ", "IIIIZIII", "IIIIIIIZ", "IIIZIIII", "IIZIIIII", "IZIIIIII", "IIIIIIZI", "IIIIIZII", "ZIIIIIII" ]
[ -1.25, -1.5, -1.25, -0.25, -0.5, -1, -0.75, -1.5, -1, -0.75, 4.25, 1.5, -0.25, -3.25, -1.5, -0.25, 0.75, -0.5, 3.5 ]
0.957735
[ 0.022546435908237288, 0.14518918596484848, 0.7517255380687702, 0.6453322187153919, 0.0005547510135491637, 0.01648942695497035, -0.24567836598873122, 0.7103534844820352, 1.2276522599760762, -0.7579580526703535, -0.6595794244215516, 1.6514152238781217, 0.05475463053088248, 0.2385240506869008...
{ "n_parameters": 24, "n_qubits": 8, "optimal_eigenvalue": -19.5, "target_ratio": 0.97, "target_value": -18.915 }
500
d7a525ce4c2e3aa682dbfbc5ee640032
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 5, "target": 4}]}
{"states": [70, 7], "expectation_value": -3.7565627774083437, "params": [[-0.0641], [0.0737]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.011231961193491779, 0.0116390387911577], "optimization_time": 2.994119644165039}
2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(4) @ Z(5)) + 2.25 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + 2.5 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(5)) + 2.5 * (Z(6) @ Z(4)) + -3.5 * Z(1) + -3.5 * Z(0) + -3.25 * Z(2) + -3.25 * Z(3) + -3.0 * Z(5) + -2.75 * Z(4) + -2.75 * Z(6)
18
7
1
{"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; cx q[1], q[0]; rz(0.027051847789835787) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(0.027051847789835787) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.027051847789835787) q[2]; cx q[0], q[2]; h q[3]; cx q[1], q[3]; rz(0.027051847789835787) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.027051847789835787) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.027051847789835787) q[3]; cx q[2], q[3]; h q[4]; h q[5]; cx q[1], q[5]; rz(-0.03206344691167204) q[5]; cx q[1], q[5]; cx q[0], q[5]; cx q[1], q[4]; rz(-0.03206344691167204) q[4]; cx q[1], q[4]; rz(0.027051847789835787) q[5]; cx q[0], q[5]; cx q[0], q[4]; cx q[2], q[5]; rz(-0.03206344691167204) q[4]; cx q[0], q[4]; rz(-0.03206344691167204) q[5]; cx q[2], q[5]; cx q[2], q[4]; cx q[3], q[5]; rz(-0.03206344691167204) q[4]; cx q[2], q[4]; rz(-0.03206344691167204) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(-0.03206344691167204) q[4]; cx q[3], q[4]; cx q[5], q[4]; rz(0.027051847789835787) q[4]; cx q[5], q[4]; h q[6]; cx q[1], q[6]; rz(0.027051847789835787) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(1.6851099918626096) q[1]; rx(1.4767707881526164) q[1]; rz(-0.03206344691167204) q[6]; cx q[0], q[6]; rz(1.6851099918626096) q[0]; rx(1.4767707881526164) q[0]; cx q[2], q[6]; rz(-0.03206344691167204) q[6]; cx q[2], q[6]; rz(1.7238436867176876) q[2]; rx(1.4767707881526164) q[2]; cx q[3], q[6]; rz(-0.03206344691167204) q[6]; cx q[3], q[6]; rz(1.7238436867176876) q[3]; rx(1.4767707881526164) q[3]; cx q[5], q[6]; rz(-0.03206344691167204) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(-1.4190839315479136) q[5]; rx(1.4767707881526164) q[5]; rz(-0.03206344691167204) q[6]; cx q[4], q[6]; rz(-1.622634253215252) q[4]; rx(1.4767707881526164) q[4]; rz(-1.622634253215252) q[6]; rx(1.4767707881526164) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[5]; rz(x1) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x1) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[1], q[4]; rz(x1) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x1) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x1) q[4]; cx q[3], q[4]; cx q[5], q[4]; rz(x0) q[4]; cx q[5], q[4]; cx q[1], q[6]; rz(x0) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x1) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x1) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x1) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x1) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x1) q[6]; cx q[4], q[6]; rz(x2) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x3) q[3]; rz(x4) q[5]; rz(x5) q[4]; rz(x5) q[6]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"k": 4}
{"circuits": [], "gradients": []}
[ "IIIIIZZ", "IIIIZZI", "IIIIZIZ", "IIIZIZI", "IIIZIIZ", "IIIZZII", "IZIIIZI", "IZIIIIZ", "IZIIZII", "IZIZIII", "IIZIIZI", "IIZIIIZ", "IIZIZII", "IIZZIII", "IZZIIII", "ZIIIIZI", "ZIIIIIZ", "ZIIIZII", "ZIIZIII", "ZZIIIII", "ZIZIIII", "IIIIIZI", "IIIIIIZ", "IIIIZII", "III...
[ 2.25, 2.25, 2.25, 2.25, 2.25, 2.25, 2.5, 2.25, 2.5, 2.5, 2.5, 2.5, 2.5, 2.5, 2.25, 2.25, 2.5, 2.5, 2.5, 2.5, 2.5, -3.5, -3.5, -3.25, -3.25, -3, -2.75, -2.75 ]
0.976706
[ 0.027051847789835787, -0.03206344691167204, 1.6851099918626093, 1.7238436867176876, -1.4190839315479138, -1.6226342532152522, 1.4767707881526164 ]
{ "n_parameters": 7, "n_qubits": 7, "optimal_eigenvalue": -13.75, "target_ratio": 0.97, "target_value": -13.3375 }
75
edc3bac605c0e8fb4f027513dd92e8fb
kclique
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}]}
{"states": [0, 1], "expectation_value": -20.057732902513585, "params": [[[0.0022, 0.0078000000000000005], [-0.0028, 0.0098], [-0.0015, 0.0046], [0.0028, 0.0012000000000000001], [1.6093000000000002, 0.0014]]], "bitstrings": ["11111", "11110"], "total_optimization_steps": 160, "probabilities": [0.48074635455785764, 0.5192478661371699], "optimization_time": 1.7782788276672363}
2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4)
1
5
1
{"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[5] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.16175234084033957) q[0]; cx q[1], q[0]; h q[2]; h q[3]; cx q[1], q[3]; rz(-0.16175234084033957) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.16175234084033957) q[3]; cx q[0], q[3]; h q[4]; cx q[1], q[4]; rz(-0.16175234084033957) q[4]; cx q[1], q[4]; cx q[0], q[4]; cx q[1], q[2]; rz(-0.16175234084033957) q[2]; cx q[1], q[2]; rz(-1.8753280110734103) q[1]; rx(-1.1416650171566816) q[1]; rz(-0.16175234084033957) q[4]; cx q[0], q[4]; rz(-0.05801357308838595) q[0]; rx(-1.1416650171566816) q[0]; cx q[1], q[0]; rz(0.4399114001229122) q[0]; cx q[1], q[0]; cx q[3], q[4]; rz(-0.16175234084033957) q[4]; cx q[3], q[4]; rz(-0.05801357308838595) q[3]; rx(-1.1416650171566816) q[3]; cx q[1], q[3]; rz(0.4399114001229122) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.4399114001229122) q[3]; cx q[0], q[3]; cx q[4], q[2]; rz(-0.16175234084033957) q[2]; cx q[4], q[2]; rz(0.10605362145925223) q[2]; rx(-1.1416650171566816) q[2]; rz(-1.8753280110734103) q[4]; rx(-1.1416650171566816) q[4]; cx q[1], q[4]; rz(0.4399114001229122) q[4]; cx q[1], q[4]; cx q[0], q[4]; cx q[1], q[2]; rz(0.4399114001229122) q[2]; cx q[1], q[2]; rz(1.036066267452588) q[1]; rx(-0.5658460915133535) q[1]; rz(0.4399114001229122) q[4]; cx q[0], q[4]; rz(-1.0095203443177647) q[0]; rx(-0.5658460915133537) q[0]; cx q[1], q[0]; rz(0.2880179831430165) q[0]; cx q[1], q[0]; cx q[3], q[4]; rz(0.4399114001229122) q[4]; cx q[3], q[4]; rz(-1.0095203443177647) q[3]; rx(-0.5658460915133537) q[3]; cx q[1], q[3]; rz(0.2880179831430165) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.2880179831430165) q[3]; cx q[0], q[3]; cx q[4], q[2]; rz(0.4399114001229122) q[2]; cx q[4], q[2]; rz(0.7718866700779632) q[2]; rx(-0.5658460915133536) q[2]; rz(1.036066267452588) q[4]; rx(-0.5658460915133535) q[4]; cx q[1], q[4]; rz(0.2880179831430165) q[4]; cx q[1], q[4]; cx q[0], q[4]; cx q[1], q[2]; rz(0.2880179831430165) q[2]; cx q[1], q[2]; rz(-2.7932233839467813) q[1]; rx(-0.5223667476735936) q[1]; rz(0.2880179831430165) q[4]; cx q[0], q[4]; rz(-0.244483204894681) q[0]; rx(-0.5223667476735935) q[0]; cx q[1], q[0]; rz(-1.0885422513002039) q[0]; cx q[1], q[0]; cx q[3], q[4]; rz(0.2880179831430165) q[4]; cx q[3], q[4]; rz(-0.244483204894681) q[3]; rx(-0.5223667476735935) q[3]; cx q[1], q[3]; rz(-1.0885422513002039) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-1.0885422513002039) q[3]; cx q[0], q[3]; cx q[4], q[2]; rz(0.2880179831430165) q[2]; cx q[4], q[2]; rz(-0.7290022026259511) q[2]; rx(-0.5223667476735936) q[2]; rz(-2.7932233839467813) q[4]; rx(-0.5223667476735936) q[4]; cx q[1], q[4]; rz(-1.0885422513002039) q[4]; cx q[1], q[4]; cx q[0], q[4]; cx q[1], q[2]; rz(-1.0885422513002039) q[2]; cx q[1], q[2]; rz(-0.36153288622860646) q[1]; rx(0.3923282586257911) q[1]; rz(-1.0885422513002039) q[4]; cx q[0], q[4]; rz(1.5418950885290634) q[0]; rx(0.3923282586257912) q[0]; cx q[3], q[4]; rz(-1.0885422513002039) q[4]; cx q[3], q[4]; rz(1.5418950885290634) q[3]; rx(0.3923282586257912) q[3]; cx q[4], q[2]; rz(-1.0885422513002039) q[2]; cx q[4], q[2]; rz(-0.3923757406623629) q[2]; rx(0.3923282586257912) q[2]; rz(-0.36153288622860646) q[4]; rx(0.3923282586257911) q[4];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[5] c; qubit[5] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
{"k": 4}
{"circuits": [], "gradients": []}
[ "IIIZZ", "IIZZI", "IIZIZ", "IZIZI", "IZIIZ", "IZZII", "ZIIZI", "ZIIIZ", "ZIZII", "ZZIII", "IIIZI", "IIIIZ", "IIZII", "IZIII", "ZIIII" ]
[ 2.25, 2.25, 2.25, 2.25, 2.25, 2.25, 2.25, 2.5, 2.25, 2.5, -8.5, -8.25, -8.5, -8.25, -8 ]
0.972373
[ -0.16175234084033957, -1.87532801107341, -0.05801357308838576, 0.10605362145925226, -1.1416650171566816, 0.4399114001229122, 1.0360662674525876, -1.009520344317765, 0.7718866700779633, -0.5658460915133537, 0.2880179831430165, -2.7932233839467817, -0.24448320489468112, -0.7290022026259505, ...
{ "n_parameters": 20, "n_qubits": 5, "optimal_eigenvalue": -3.5, "target_ratio": 0.97, "target_value": -3.395 }
239
589a81c8fd04d28f25b3e8e25563f55c
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 2, "source": 4, "target": 6}, {"capacity": 3, "source": 5, "target": 2}, {"capacity": 2, "source": 5, "target": 6}, {"capacity": 2, "source": 6, "target": 7}]}
{"states": [124, 127], "expectation_value": -5.241560433872697, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 65, "probabilities": [0.0020220243148332756, 0.9938053867040454], "optimization_time": 71.76290464401245}
0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5)
1
8
2
{"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.75}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; ry(-0.5130369850171268) q[0]; h q[1]; ry(0.6921837006580918) q[1]; ry(-2.9297706304665203) q[2]; rz(-pi) q[2]; h q[3]; ry(1.4827454569868557) q[3]; h q[4]; ry(0.7494136005938985) q[4]; h q[5]; ry(0.7413727284934278) q[5]; cx q[3], q[5]; ry(-0.7413727284934278) q[5]; cx q[3], q[5]; cx q[3], q[1]; ry(-0.6921837006580918) q[1]; cx q[3], q[1]; cx q[1], q[4]; cx q[3], q[0]; ry(-0.7494136005938985) q[4]; cx q[1], q[4]; ry(0.17021348520364954) q[1]; ry(0.5130369850171268) q[0]; cx q[3], q[0]; cx q[3], q[2]; ry(0.02539309764455986) q[2]; cx q[3], q[2]; ry(-0.22574170795363394) q[0]; ry(0.0010571469040583678) q[3]; h q[6]; ry(0.7166294916480791) q[6]; cx q[4], q[6]; ry(-0.7166294916480791) q[6]; cx q[4], q[6]; ry(0.03571598507532223) q[4]; h q[7]; ry(0.7325032239167987) q[7]; cx q[6], q[7]; ry(-0.7325032239167987) q[7]; cx q[6], q[7]; cx q[7], q[0]; ry(0.22574170795363394) q[0]; cx q[7], q[0]; ry(0.01779247938149277) q[0]; cx q[5], q[0]; ry(-0.01779247938149277) q[0]; cx q[5], q[0]; cx q[5], q[3]; ry(-0.0010571469040583678) q[3]; cx q[5], q[3]; ry(0.0727314894697919) q[6]; cx q[7], q[6]; ry(-0.0727314894697919) q[6]; cx q[7], q[6]; ry(-0.04756446065306172) q[6]; cx q[1], q[6]; ry(0.04756446065306172) q[6]; cx q[1], q[6]; ry(0.04722376162045552) q[7]; cx q[4], q[7]; ry(-0.04722376162045552) q[7]; cx q[4], q[7]; ry(0.0010571469040583678) q[1]; cx q[4], q[1]; ry(-0.0010571469040583678) q[1]; cx q[4], q[1]; ry(0.006320099860124739) q[5]; cx q[7], q[5]; ry(-0.006320099860124739) q[5]; cx q[7], q[5]; ry(-0.057203934362307994) q[6]; cx q[5], q[6]; ry(0.057203934362307994) q[6]; cx q[5], q[6]; ry(-0.011008771882854304) q[0]; cx q[6], q[0]; ry(0.011008771882854304) q[0]; cx q[6], q[0]; ry(-0.057203934362307994) q[1]; cx q[7], q[1]; ry(0.057203934362307994) q[1]; cx q[7], q[1];
null
{"source": 0, "sink": 7}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\ncry(1.5706) q[3], q[5];\ncry(1.4449) q[3], q[1];\ncry(1.4433) q[1], q[4];\ncry(1.4424) q[4], q[6];\nry(1.4449) q[2];\ncry(-1.0342) q[3], q[0];\ncry(1.4106) q[6], q[7];\ncry(-0.5042) q[7], q[0];\ncry(0.091) q[7], q[6];\nry(0.0929) q[4];\nry(0.0921) q[1];\ncry(0.145) q[4], q[7];\ncry(0.1188) q[3], q[2];\ncry(-0.0333) q[5], q[0];\ncry(0.0001) q[5], q[3];\ncry(0.0002) q[7], q[5];\ncry(0.0095) q[1], q[6];\ncry(0.0001) q[4], q[1];\ncry(-0.0001) q[7], q[1];\ncry(-0.0001) q[5], q[6];\ncry(-0.0019) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n"], "gradients": [1.2572, 1.2558, 0.5027, 0.5011, 0.5004, 0.5, 0.2518, 0.4609, 0.2561, 0.0842, 0.0866, 0.086, 0.0735, 0.0598, 0.0211, 0.0206, 0.018, 0.0177, 0.0175, 0.015, 0.015, 0.0149, 0.0145, 0.0125, 0.0125, 0.0119, 0.0119, 0.0099, 0.0099, 0.009, 0.0089, 0.0075, 0.0074, 0.0074, 0.0074, 0.0072, 0.0065, 0.0063, 0.0061, 0.006, 0.0059, 0.0055, 0.0053, 0.0051, 0.0049, 0.005, 0.0049, 0.0048, 0.0044, 0.0042, 0.0041, 0.004, 0.0039, 0.0037, 0.0037, 0.0036, 0.0036, 0.0035, 0.0033, 0.0032, 0.0031, 0.003, 0.003, 0.003, 0.003]}
[ "ZIIIIIIZ", "IIIZIIZI", "IIIIZIZI", "IIIIZZII", "ZZIIIIII", "IZIZIIII", "IIZIIZII", "IZZIIIII", "ZIIIIIII", "IIIIIIIZ", "IIIZIIII", "IIIIIIZI", "IIIIZIII", "IIIIIZII", "IZIIIIII", "IIZIIIII" ]
[ 0.25, -0.5, -0.75, -1, -0.5, -0.5, -0.75, -0.5, -0.25, -0.25, 0, -0.25, 1.25, -1.25, -0.5, 1.25 ]
0.987277
[ 1.4827454569868557, 1.3843674013161835, 1.498827201187797, 1.4332589832961582, -1.0260739700342536, 1.4650064478335973, -0.45148341590726787, 0.1454629789395838, 0.03571598507532223, 0.17021348520364954, 0.09444752324091105, -0.05078619528911972, 0.03558495876298554, 0.0021142938081167356,...
{ "n_parameters": 18, "n_qubits": 8, "optimal_eigenvalue": -5.25, "target_ratio": 0.97, "target_value": -5.0925 }
1
8909333385727859306
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 5, 6, 7, 8, 9], [0, 1, 2, 4, 5, 7, 8, 9], [8, 9, 3]]}
{"states": [435, 443], "expectation_value": -0.6380233537358214, "params": [1.5846, 0.1048, 1.4983, 0.0094, 1.5923, 0.0816, 1.2414, 0.0035, 1.5810000000000002, -0.3302, 0.8194, 0.0044, 0.457, 0.0036000000000000003, 0.2504, 0.0032, 1.5916000000000001, 0.07680000000000001, 1.2378, 0.0059, 1.582, 0.0772, 1.231, 0.0067, 1.5871000000000002, -0.41900000000000004, 0.8555, 0.009600000000000001, 1.3477000000000001, 0.25880000000000003, 0.9679000000000001, 0.0095, 1.2412, 0.041800000000000004, 1.381, 0.002, 1.038, 0.0351, 1.1935, 0.006200000000000001, 0.8137000000000001, 0.0077, -0.1315, -0.18030000000000002, 0.015000000000000001, 0.012100000000000001, -0.1563, -0.447, 0.1433, 0.24760000000000001], "bitstrings": ["1001001100", "1001000100"], "total_optimization_steps": 160, "probabilities": [0.13983849334659154, 0.25195739551489366], "optimization_time": 219.31784510612488}
0.03571428571428571 * (Z(0) @ Z(1)) + 0.03571428571428571 * (Z(4) @ Z(1)) + 0.03571428571428571 * (Z(4) @ Z(0)) + 0.03571428571428571 * (Z(5) @ Z(1)) + 0.03571428571428571 * (Z(5) @ Z(0)) + 0.03571428571428571 * (Z(5) @ Z(4)) + 0.017857142857142856 * (Z(6) @ Z(1)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.017857142857142856 * (Z(6) @ Z(4)) + 0.017857142857142856 * (Z(6) @ Z(5)) + 0.03571428571428571 * (Z(7) @ Z(1)) + 0.03571428571428571 * (Z(7) @ Z(0)) + 0.03571428571428571 * (Z(7) @ Z(4)) + 0.03571428571428571 * (Z(7) @ Z(5)) + 0.017857142857142856 * (Z(7) @ Z(6)) + 0.03571428571428571 * (Z(8) @ Z(1)) + 0.03571428571428571 * (Z(8) @ Z(0)) + 0.03571428571428571 * (Z(8) @ Z(4)) + 0.03571428571428571 * (Z(8) @ Z(5)) + 0.017857142857142856 * (Z(8) @ Z(6)) + 0.03571428571428571 * (Z(8) @ Z(7)) + 0.03571428571428571 * (Z(9) @ Z(1)) + 0.03571428571428571 * (Z(9) @ Z(0)) + 0.03571428571428571 * (Z(9) @ Z(4)) + 0.03571428571428571 * (Z(9) @ Z(5)) + 0.017857142857142856 * (Z(9) @ Z(6)) + 0.03571428571428571 * (Z(9) @ Z(7)) + 0.20238095238095238 * (Z(9) @ Z(8)) + 0.017857142857142856 * (Z(2) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(0)) + 0.017857142857142856 * (Z(2) @ Z(4)) + 0.017857142857142856 * (Z(2) @ Z(5)) + 0.017857142857142856 * (Z(2) @ Z(7)) + 0.017857142857142856 * (Z(2) @ Z(8)) + 0.017857142857142856 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.12499999999999994 * Z(1) + 0.12499999999999994 * Z(0) + 0.12499999999999994 * Z(4) + 0.12499999999999994 * Z(5) + 0.06249999999999997 * Z(6) + 0.12499999999999994 * Z(7) + 0.29166666666666663 * Z(8) + 0.29166666666666663 * Z(9) + 0.06249999999999997 * Z(2) + 0.16666666666666666 * Z(3)
6
10
1
{"smallest_eigenvalues": [-0.6904761904761905, -0.6904761904761905, -0.6904761904761905, -0.6904761904761905], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6904761904761904, "smallest_bitstrings": ["0001100100", "0001010100", "1001000100", "0101000100"], "largest_eigenvalue": 2.9999999999999996}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; rx(1.8226683304937787) q[0]; rz(1.4774261538143705) q[0]; rx(2.1251375343784047) q[1]; rz(1.633428837621011) q[1]; rx(1.8989750925412783) q[2]; rz(1.3421602930141816) q[2]; rx(0.2446451761250972) q[3]; rz(1.7273837690238336) q[3]; rx(1.2905234994744685) q[4]; rz(1.7845874004758402) q[4]; rx(2.2513528208274964) q[5]; rz(1.6992657800498483) q[5]; rx(2.1970076610234974) q[6]; rz(1.2146165880854598) q[6]; rx(0.1679792766032192) q[7]; rz(2.3771574432687643) q[7]; rx(0.4447288893880438) q[8]; rz(1.3559399412719948) q[8]; rx(1.841482309733945) q[9]; rz(-0.03270838958986151) q[9]; cx q[9], q[8]; ry(-0.05016134787757502) q[8]; cx q[9], q[8]; cx q[9], q[7]; ry(0.05016134787757502) q[8]; rz(-pi/2) q[8]; ry(0.12119663436688961) q[7]; cx q[9], q[7]; cx q[9], q[6]; ry(-0.0009774154453425611) q[6]; cx q[9], q[6]; cx q[9], q[5]; ry(0.003733166022252572) q[5]; cx q[9], q[5]; cx q[9], q[4]; ry(-0.028587138178223514) q[4]; cx q[9], q[4]; cx q[9], q[3]; ry(0.06516877847395641) q[3]; cx q[9], q[3]; cx q[9], q[2]; ry(-0.01877070129728692) q[2]; cx q[9], q[2]; cx q[9], q[1]; ry(0.0005441320044811109) q[1]; cx q[9], q[1]; cx q[9], q[0]; ry(-0.0005441320044811109) q[1]; ry(-0.3285578467888859) q[0]; cx q[9], q[0]; ry(0.3285578467888859) q[0]; rz(pi/2) q[9]; cx q[8], q[9]; ry(-0.032729954389054926) q[9]; cx q[8], q[9]; ry(0.01877070129728692) q[2]; ry(-0.06516877847395641) q[3]; ry(0.028587138178223514) q[4]; ry(-0.003733166022252572) q[5]; ry(0.0009774154453425611) q[6]; ry(-0.1211966343668896) q[7]; cx q[8], q[7]; ry(0.12119663436688961) q[7]; cx q[8], q[7]; cx q[8], q[6]; ry(-0.12119663436688961) q[7]; rz(-pi/2) q[7]; ry(-0.0009774154453425611) q[6]; cx q[8], q[6]; cx q[8], q[5]; ry(0.003733166022252572) q[5]; cx q[8], q[5]; cx q[8], q[4]; ry(-0.028587138178223514) q[4]; cx q[8], q[4]; cx q[8], q[3]; ry(0.06516877847395641) q[3]; cx q[8], q[3]; cx q[8], q[2]; ry(-0.01877070129728692) q[2]; cx q[8], q[2]; cx q[8], q[1]; ry(0.0005441320044811109) q[1]; cx q[8], q[1]; cx q[8], q[0]; ry(-0.0005441320044811109) q[1]; ry(-0.3285578467888859) q[0]; cx q[8], q[0]; ry(0.3285578467888859) q[0]; rz(pi/2) q[8]; ry(0.01877070129728692) q[2]; ry(-0.06516877847395641) q[3]; ry(0.028587138178223514) q[4]; ry(-0.003733166022252572) q[5]; ry(0.0009774154453425611) q[6]; ry(0.032729954389054926) q[9]; cx q[7], q[9]; ry(-0.032729954389054926) q[9]; cx q[7], q[9]; cx q[7], q[8]; ry(-0.05016134787757502) q[8]; cx q[7], q[8]; cx q[7], q[6]; ry(-0.0009774154453425611) q[6]; cx q[7], q[6]; cx q[7], q[5]; ry(0.0009774154453425611) q[6]; rz(-pi/2) q[6]; ry(0.003733166022252572) q[5]; cx q[7], q[5]; cx q[7], q[4]; ry(-0.028587138178223514) q[4]; cx q[7], q[4]; cx q[7], q[3]; ry(0.06516877847395641) q[3]; cx q[7], q[3]; cx q[7], q[2]; ry(-0.01877070129728692) q[2]; cx q[7], q[2]; cx q[7], q[1]; ry(0.0005441320044811109) q[1]; cx q[7], q[1]; cx q[7], q[0]; ry(-0.0005441320044811109) q[1]; ry(-0.3285578467888859) q[0]; cx q[7], q[0]; ry(0.3285578467888859) q[0]; rz(pi/2) q[7]; ry(0.01877070129728692) q[2]; ry(-0.06516877847395641) q[3]; ry(0.028587138178223514) q[4]; ry(-0.003733166022252572) q[5]; ry(0.05016134787757503) q[8]; ry(0.032729954389054926) q[9]; cx q[6], q[9]; ry(-0.032729954389054926) q[9]; cx q[6], q[9]; cx q[6], q[8]; ry(-0.05016134787757502) q[8]; cx q[6], q[8]; cx q[6], q[7]; ry(0.12119663436688961) q[7]; cx q[6], q[7]; cx q[6], q[5]; ry(0.003733166022252572) q[5]; cx q[6], q[5]; cx q[6], q[4]; ry(-0.003733166022252572) q[5]; rz(-pi/2) q[5]; ry(-0.028587138178223514) q[4]; cx q[6], q[4]; cx q[6], q[3]; ry(0.06516877847395641) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(-0.01877070129728692) q[2]; cx q[6], q[2]; cx q[6], q[1]; ry(0.0005441320044811109) q[1]; cx q[6], q[1]; cx q[6], q[0]; ry(-0.0005441320044811109) q[1]; ry(-0.3285578467888859) q[0]; cx q[6], q[0]; ry(0.3285578467888859) q[0]; rz(pi/2) q[6]; ry(0.01877070129728692) q[2]; ry(-0.06516877847395641) q[3]; ry(0.028587138178223514) q[4]; ry(-0.1211966343668896) q[7]; ry(0.05016134787757503) q[8]; ry(0.032729954389054926) q[9]; cx q[5], q[9]; ry(-0.032729954389054926) q[9]; cx q[5], q[9]; cx q[5], q[8]; ry(-0.05016134787757502) q[8]; cx q[5], q[8]; cx q[5], q[7]; ry(0.12119663436688961) q[7]; cx q[5], q[7]; cx q[5], q[6]; ry(-0.0009774154453425611) q[6]; cx q[5], q[6]; cx q[5], q[4]; ry(-0.028587138178223514) q[4]; cx q[5], q[4]; cx q[5], q[3]; ry(0.028587138178223514) q[4]; rz(-pi/2) q[4]; ry(0.06516877847395641) q[3]; cx q[5], q[3]; cx q[5], q[2]; ry(-0.01877070129728692) q[2]; cx q[5], q[2]; cx q[5], q[1]; ry(0.0005441320044811109) q[1]; cx q[5], q[1]; cx q[5], q[0]; ry(-0.0005441320044811109) q[1]; ry(-0.3285578467888859) q[0]; cx q[5], q[0]; ry(0.3285578467888859) q[0]; rz(pi/2) q[5]; ry(0.01877070129728692) q[2]; ry(-0.06516877847395641) q[3]; ry(0.0009774154453425611) q[6]; ry(-0.1211966343668896) q[7]; ry(0.05016134787757503) q[8]; ry(0.032729954389054926) q[9]; cx q[4], q[9]; ry(-0.032729954389054926) q[9]; cx q[4], q[9]; cx q[4], q[8]; ry(-0.05016134787757502) q[8]; cx q[4], q[8]; cx q[4], q[7]; ry(0.12119663436688961) q[7]; cx q[4], q[7]; cx q[4], q[6]; ry(-0.0009774154453425611) q[6]; cx q[4], q[6]; cx q[4], q[5]; ry(0.003733166022252572) q[5]; cx q[4], q[5]; cx q[4], q[3]; ry(0.06516877847395641) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(-0.06516877847395641) q[3]; rz(-pi/2) q[3]; ry(-0.01877070129728692) q[2]; cx q[4], q[2]; cx q[4], q[1]; ry(0.0005441320044811109) q[1]; cx q[4], q[1]; cx q[4], q[0]; ry(-0.0005441320044811109) q[1]; ry(-0.3285578467888859) q[0]; cx q[4], q[0]; ry(0.3285578467888859) q[0]; rz(pi/2) q[4]; ry(0.01877070129728692) q[2]; ry(-0.003733166022252572) q[5]; ry(0.0009774154453425611) q[6]; ry(-0.1211966343668896) q[7]; ry(0.05016134787757503) q[8]; ry(0.032729954389054926) q[9]; cx q[3], q[9]; ry(-0.032729954389054926) q[9]; cx q[3], q[9]; cx q[3], q[8]; ry(-0.05016134787757502) q[8]; cx q[3], q[8]; cx q[3], q[7]; ry(0.12119663436688961) q[7]; cx q[3], q[7]; cx q[3], q[6]; ry(-0.0009774154453425611) q[6]; cx q[3], q[6]; cx q[3], q[5]; ry(0.003733166022252572) q[5]; cx q[3], q[5]; cx q[3], q[4]; ry(-0.028587138178223514) q[4]; cx q[3], q[4]; cx q[3], q[2]; ry(-0.01877070129728692) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(0.01877070129728692) q[2]; rz(-pi/2) q[2]; ry(0.0005441320044811109) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(-0.0005441320044811109) q[1]; ry(-0.3285578467888859) q[0]; cx q[3], q[0]; ry(0.3285578467888859) q[0]; rz(pi/2) q[3]; ry(0.028587138178223514) q[4]; ry(-0.003733166022252572) q[5]; ry(0.0009774154453425611) q[6]; ry(-0.1211966343668896) q[7]; ry(0.05016134787757503) q[8]; ry(0.032729954389054926) q[9]; cx q[2], q[9]; ry(-0.032729954389054926) q[9]; cx q[2], q[9]; cx q[2], q[8]; ry(-0.05016134787757502) q[8]; cx q[2], q[8]; cx q[2], q[7]; ry(0.12119663436688961) q[7]; cx q[2], q[7]; cx q[2], q[6]; ry(-0.0009774154453425611) q[6]; cx q[2], q[6]; cx q[2], q[5]; ry(0.003733166022252572) q[5]; cx q[2], q[5]; cx q[2], q[4]; ry(-0.028587138178223514) q[4]; cx q[2], q[4]; cx q[2], q[3]; ry(0.06516877847395641) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(0.0005441320044811109) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(-0.0005441320044811109) q[1]; rz(-pi/2) q[1]; ry(-0.3285578467888859) q[0]; cx q[2], q[0]; ry(0.3285578467888859) q[0]; rz(pi/2) q[2]; ry(-0.06516877847395641) q[3]; ry(0.028587138178223514) q[4]; ry(-0.003733166022252572) q[5]; ry(0.0009774154453425611) q[6]; ry(-0.1211966343668896) q[7]; ry(0.05016134787757503) q[8]; ry(0.032729954389054926) q[9]; cx q[1], q[9]; ry(-0.032729954389054926) q[9]; cx q[1], q[9]; cx q[1], q[8]; ry(-0.05016134787757502) q[8]; cx q[1], q[8]; cx q[1], q[7]; ry(0.12119663436688961) q[7]; cx q[1], q[7]; cx q[1], q[6]; ry(-0.0009774154453425611) q[6]; cx q[1], q[6]; cx q[1], q[5]; ry(0.003733166022252572) q[5]; cx q[1], q[5]; cx q[1], q[4]; ry(-0.028587138178223514) q[4]; cx q[1], q[4]; cx q[1], q[3]; ry(0.06516877847395641) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(-0.01877070129728692) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(-0.3285578467888859) q[0]; cx q[1], q[0]; ry(0.3285578467888859) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(0.01877070129728692) q[2]; ry(-0.06516877847395641) q[3]; ry(0.028587138178223514) q[4]; ry(-0.003733166022252572) q[5]; ry(0.0009774154453425611) q[6]; ry(-0.1211966343668896) q[7]; ry(0.05016134787757503) q[8]; ry(0.032729954389054926) q[9]; cx q[0], q[9]; ry(-0.032729954389054926) q[9]; cx q[0], q[9]; cx q[0], q[8]; ry(-0.05016134787757502) q[8]; cx q[0], q[8]; cx q[0], q[7]; ry(0.12119663436688961) q[7]; cx q[0], q[7]; cx q[0], q[6]; ry(-0.0009774154453425611) q[6]; cx q[0], q[6]; cx q[0], q[5]; ry(0.003733166022252572) q[5]; cx q[0], q[5]; cx q[0], q[4]; ry(-0.028587138178223514) q[4]; cx q[0], q[4]; cx q[0], q[3]; ry(0.06516877847395641) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(-0.01877070129728692) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(0.0005441320044811109) q[1]; cx q[0], q[1]; rx(1.5637378663655581) q[0]; rz(0.39257599434272616) q[0]; ry(0.9702311603953007) q[1]; rz(-1.8561971413208052) q[1]; ry(1.3142126836660506) q[2]; rz(-0.8804047706636471) q[2]; ry(0.14106818730270435) q[3]; rz(-1.85740989066062) q[3]; ry(1.52036733095815) q[4]; rz(-1.4214261951200158) q[4]; ry(0.9336327594182616) q[5]; rz(-1.3399779790078057) q[5]; ry(0.6901410220683294) q[6]; rz(-1.0172021665673965) q[6]; ry(0.8572008503094861) q[7]; rz(-1.8941383483219436) q[7]; ry(2.362739539534341) q[8]; rz(-2.13629283682306) q[8]; ry(1.0339522072598781) q[9]; rz(-1.7397428777584538) q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; crx(x20) q[9], q[8]; crx(x21) q[9], q[7]; crx(x22) q[9], q[6]; crx(x23) q[9], q[5]; crx(x24) q[9], q[4]; crx(x25) q[9], q[3]; crx(x26) q[9], q[2]; crx(x27) q[9], q[1]; crx(x28) q[9], q[0]; crx(x29) q[8], q[9]; crx(x21) q[8], q[7]; crx(x22) q[8], q[6]; crx(x23) q[8], q[5]; crx(x24) q[8], q[4]; crx(x25) q[8], q[3]; crx(x26) q[8], q[2]; crx(x27) q[8], q[1]; crx(x28) q[8], q[0]; crx(x29) q[7], q[9]; crx(x20) q[7], q[8]; crx(x22) q[7], q[6]; crx(x23) q[7], q[5]; crx(x24) q[7], q[4]; crx(x25) q[7], q[3]; crx(x26) q[7], q[2]; crx(x27) q[7], q[1]; crx(x28) q[7], q[0]; crx(x29) q[6], q[9]; crx(x20) q[6], q[8]; crx(x21) q[6], q[7]; crx(x23) q[6], q[5]; crx(x24) q[6], q[4]; crx(x25) q[6], q[3]; crx(x26) q[6], q[2]; crx(x27) q[6], q[1]; crx(x28) q[6], q[0]; crx(x29) q[5], q[9]; crx(x20) q[5], q[8]; crx(x21) q[5], q[7]; crx(x22) q[5], q[6]; crx(x24) q[5], q[4]; crx(x25) q[5], q[3]; crx(x26) q[5], q[2]; crx(x27) q[5], q[1]; crx(x28) q[5], q[0]; crx(x29) q[4], q[9]; crx(x20) q[4], q[8]; crx(x21) q[4], q[7]; crx(x22) q[4], q[6]; crx(x23) q[4], q[5]; crx(x25) q[4], q[3]; crx(x26) q[4], q[2]; crx(x27) q[4], q[1]; crx(x28) q[4], q[0]; crx(x29) q[3], q[9]; crx(x20) q[3], q[8]; crx(x21) q[3], q[7]; crx(x22) q[3], q[6]; crx(x23) q[3], q[5]; crx(x24) q[3], q[4]; crx(x26) q[3], q[2]; crx(x27) q[3], q[1]; crx(x28) q[3], q[0]; crx(x29) q[2], q[9]; crx(x20) q[2], q[8]; crx(x21) q[2], q[7]; crx(x22) q[2], q[6]; crx(x23) q[2], q[5]; crx(x24) q[2], q[4]; crx(x25) q[2], q[3]; crx(x27) q[2], q[1]; crx(x28) q[2], q[0]; crx(x29) q[1], q[9]; crx(x20) q[1], q[8]; crx(x21) q[1], q[7]; crx(x22) q[1], q[6]; crx(x23) q[1], q[5]; crx(x24) q[1], q[4]; crx(x25) q[1], q[3]; crx(x26) q[1], q[2]; crx(x28) q[1], q[0]; crx(x29) q[0], q[9]; crx(x20) q[0], q[8]; crx(x21) q[0], q[7]; crx(x22) q[0], q[6]; crx(x23) q[0], q[5]; crx(x24) q[0], q[4]; crx(x25) q[0], q[3]; crx(x26) q[0], q[2]; crx(x27) q[0], q[1]; rx(x30) q[0]; rz(x31) q[0]; rx(x32) q[1]; rz(x33) q[1]; rx(x34) q[2]; rz(x35) q[2]; rx(x36) q[3]; rz(x37) q[3]; rx(x38) q[4]; rz(x39) q[4]; rx(x40) q[5]; rz(x41) q[5]; rx(x42) q[6]; rz(x43) q[6]; rx(x44) q[7]; rz(x45) q[7]; rx(x46) q[8]; rz(x47) q[8]; rx(x48) q[9]; rz(x49) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIIZZ", "IIIIIZIIZI", "IIIIIZIIIZ", "IIIIZIIIZI", "IIIIZIIIIZ", "IIIIZZIIII", "IIIZIIIIZI", "IIIZIIIIIZ", "IIIZIZIIII", "IIIZZIIIII", "IIZIIIIIZI", "IIZIIIIIIZ", "IIZIIZIIII", "IIZIZIIIII", "IIZZIIIIII", "IZIIIIIIZI", "IZIIIIIIIZ", "IZIIIZIIII", "IZIIZIIIII", "IZIZIIIIII"...
[ 0.03571428571428571, 0.03571428571428571, 0.03571428571428571, 0.03571428571428571, 0.03571428571428571, 0.03571428571428571, 0.017857142857142856, 0.017857142857142856, 0.017857142857142856, 0.017857142857142856, 0.03571428571428571, 0.03571428571428571, 0.03571428571428571, 0.03571428571...
0.971102
[ 1.8226683304937787, -0.09337017298052548, 2.1251375343784047, 0.0626325108261142, 1.8989750925412783, -0.22863603378071454, 0.24464517612509726, 0.15658744222893678, 1.2905234994744685, 0.21379107368094385, 2.2513528208274964, 0.12846945325495188, 2.1970076610234974, -0.3561797387094371, ...
{ "n_parameters": 50, "n_qubits": 10, "optimal_eigenvalue": -0.6904761904761905, "target_ratio": 0.97, "target_value": -0.6697619047619048 }
131
2cf6224a7b786ab8607e7cc5dbc62158
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 4, "source": 5, "target": 6}]}
{"states": [3, 43], "expectation_value": -1.2779050371189813, "params": [[0.0669, 0.0517, 0.0251, -0.0683], [-0.0775, -0.053500000000000006, -0.047400000000000005, -0.0002]], "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 10, "probabilities": [0.01777559705491717, 0.018935565994404126], "optimization_time": 4.100560665130615}
-1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5)
1
7
4
{"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 8.25}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; h q[2]; cx q[2], q[0]; rz(-0.06830128417282086) q[0]; cx q[2], q[0]; h q[3]; cx q[2], q[3]; rz(0.011585934974251182) q[3]; cx q[2], q[3]; rz(-0.6633598662099609) q[2]; rx(-1.3300415243216537) q[2]; cx q[3], q[1]; rz(-0.30274825969433) q[1]; cx q[3], q[1]; rz(0.8613712349684954) q[3]; rx(-1.330041524321654) q[3]; h q[4]; cx q[0], q[4]; rz(-0.6633598662099606) q[4]; cx q[0], q[4]; rz(-0.6633598662099609) q[4]; rx(-1.3300415243216537) q[4]; h q[5]; h q[6]; cx q[0], q[6]; rz(0.03219304338927346) q[6]; cx q[0], q[6]; rz(0.011585934974251089) q[0]; rx(-1.3300415243216537) q[0]; cx q[1], q[6]; cx q[2], q[0]; rz(-0.2214808877154617) q[0]; cx q[2], q[0]; cx q[0], q[4]; cx q[2], q[3]; rz(0.18392254142999373) q[3]; cx q[2], q[3]; rz(-0.9937225624777524) q[2]; rx(-1.0222277077675876) q[2]; rz(-0.993722562477752) q[4]; cx q[0], q[4]; rz(-0.9937225624777524) q[4]; rx(-1.0222277077675876) q[4]; rz(-0.1354849027968686) q[6]; cx q[1], q[6]; rz(0.011585934974251089) q[1]; rx(-1.3300415243216537) q[1]; cx q[3], q[1]; rz(-0.9256007528868808) q[1]; cx q[3], q[1]; rz(0.5415626918951633) q[3]; rx(-1.0222277077675876) q[3]; cx q[6], q[5]; rz(-0.06830128417282086) q[5]; cx q[6], q[5]; rz(0.42174121241001794) q[5]; rx(-1.3300415243216541) q[5]; rz(0.8613712349684954) q[6]; rx(-1.330041524321654) q[6]; cx q[0], q[6]; rz(0.1552563526822461) q[6]; cx q[0], q[6]; rz(0.1839225414299932) q[0]; rx(-1.0222277077675876) q[0]; cx q[1], q[6]; cx q[2], q[0]; rz(-0.4646365054001712) q[0]; cx q[2], q[0]; cx q[0], q[4]; cx q[2], q[3]; rz(0.21252331911989863) q[3]; cx q[2], q[3]; rz(-0.7340996680024419) q[2]; rx(-0.8477605877878398) q[2]; rz(-0.7340996680024419) q[4]; cx q[0], q[4]; rz(-0.7340996680024419) q[4]; rx(-0.8477605877878398) q[4]; rz(-0.23756597035883315) q[6]; cx q[1], q[6]; rz(0.1839225414299932) q[1]; rx(-1.0222277077675876) q[1]; cx q[3], q[1]; rz(-1.3785629507264372) q[1]; cx q[3], q[1]; rz(1.1304517249319979) q[3]; rx(-0.8477605877878397) q[3]; cx q[6], q[5]; rz(-0.2214808877154617) q[5]; cx q[6], q[5]; rz(0.8360769861966082) q[5]; rx(-1.0222277077675876) q[5]; rz(0.5415626918951633) q[6]; rx(-1.0222277077675876) q[6]; cx q[0], q[6]; rz(-0.04535392034310334) q[6]; cx q[0], q[6]; rz(0.21252331911989852) q[0]; rx(-0.8477605877878396) q[0]; cx q[1], q[6]; cx q[2], q[0]; rz(0.4135922303737405) q[0]; cx q[2], q[0]; cx q[0], q[4]; cx q[2], q[3]; rz(0.5623044180451611) q[3]; cx q[2], q[3]; rz(0.40565881607155596) q[2]; rx(0.4486266014094436) q[2]; rz(0.40565881607155585) q[4]; cx q[0], q[4]; rz(0.40565881607155596) q[4]; rx(0.4486266014094436) q[4]; rz(-0.13777312572932704) q[6]; cx q[1], q[6]; rz(0.21252331911989852) q[1]; rx(-0.8477605877878396) q[1]; cx q[3], q[1]; rz(0.42910624706326733) q[1]; cx q[3], q[1]; rz(-0.04476125793550967) q[3]; rx(0.44862660140944355) q[3]; cx q[6], q[5]; rz(-0.4646365054001712) q[5]; cx q[6], q[5]; rz(1.1776911247911546) q[5]; rx(-0.8477605877878396) q[5]; rz(1.1304517249319979) q[6]; rx(-0.8477605877878397) q[6]; cx q[0], q[6]; rz(-0.7295813415683433) q[6]; cx q[0], q[6]; rz(0.5623044180451608) q[0]; rx(0.44862660140944355) q[0]; cx q[1], q[6]; rz(-0.3388990706209255) q[6]; cx q[1], q[6]; rz(0.5623044180451608) q[1]; rx(0.44862660140944355) q[1]; cx q[6], q[5]; rz(0.4135922303737405) q[5]; cx q[6], q[5]; rz(0.6695986917485057) q[5]; rx(0.44862660140944355) q[5]; rz(-0.04476125793550967) q[6]; rx(0.44862660140944355) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(x2) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(x3) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(x4) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x5) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(x0) q[5]; cx q[6], q[5]; rz(x1) q[2]; rz(x2) q[0]; rz(x1) q[4]; rz(x6) q[3]; rz(x2) q[1]; rz(x6) q[6]; rz(x7) q[5]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; h q[6]; rz(x8) q[6]; h q[6]; cx q[2], q[0]; rz(x9) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(x10) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(x11) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(x12) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(x13) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x14) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(x9) q[5]; cx q[6], q[5]; rz(x10) q[2]; rz(x11) q[0]; rz(x10) q[4]; rz(x15) q[3]; rz(x11) q[1]; rz(x15) q[6]; rz(x16) q[5]; h q[0]; rz(x17) q[0]; h q[0]; h q[1]; rz(x17) q[1]; h q[1]; h q[2]; rz(x17) q[2]; h q[2]; h q[3]; rz(x17) q[3]; h q[3]; h q[4]; rz(x17) q[4]; h q[4]; h q[5]; rz(x17) q[5]; h q[5]; h q[6]; rz(x17) q[6]; h q[6]; cx q[2], q[0]; rz(x18) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(x19) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(x20) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(x21) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(x22) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x23) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(x18) q[5]; cx q[6], q[5]; rz(x19) q[2]; rz(x20) q[0]; rz(x19) q[4]; rz(x24) q[3]; rz(x20) q[1]; rz(x24) q[6]; rz(x25) q[5]; h q[0]; rz(x26) q[0]; h q[0]; h q[1]; rz(x26) q[1]; h q[1]; h q[2]; rz(x26) q[2]; h q[2]; h q[3]; rz(x26) q[3]; h q[3]; h q[4]; rz(x26) q[4]; h q[4]; h q[5]; rz(x26) q[5]; h q[5]; h q[6]; rz(x26) q[6]; h q[6]; cx q[2], q[0]; rz(x27) q[0]; cx q[2], q[0]; cx q[0], q[4]; rz(x28) q[4]; cx q[0], q[4]; cx q[2], q[3]; rz(x29) q[3]; cx q[2], q[3]; cx q[3], q[1]; rz(x30) q[1]; cx q[3], q[1]; cx q[0], q[6]; rz(x31) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x32) q[6]; cx q[1], q[6]; cx q[6], q[5]; rz(x27) q[5]; cx q[6], q[5]; rz(x28) q[2]; rz(x29) q[0]; rz(x28) q[4]; rz(x33) q[3]; rz(x29) q[1]; rz(x33) q[6]; rz(x34) q[5]; h q[0]; rz(x35) q[0]; h q[0]; h q[1]; rz(x35) q[1]; h q[1]; h q[2]; rz(x35) q[2]; h q[2]; h q[3]; rz(x35) q[3]; h q[3]; h q[4]; rz(x35) q[4]; h q[4]; h q[5]; rz(x35) q[5]; h q[5]; h q[6]; rz(x35) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"source": 0, "sink": 6}
{"circuits": [], "gradients": []}
[ "IIIIZIZ", "IIZIIIZ", "IIIZZII", "IIIZIZI", "ZIIIIIZ", "ZIIIIZI", "ZZIIIII", "IIIIZII", "IIIIIIZ", "IIZIIII", "IIIZIII", "IIIIIZI", "ZIIIIII", "IZIIIII" ]
[ -1, -0.75, -0.25, -1.25, 2, -0.5, -1, -0.75, -0.25, -0.75, 0.5, -0.25, 0.5, 1 ]
0.970349
[ -0.06830128417282086, -0.6633598662099606, 0.011585934974251182, -0.30274825969433, 0.03219304338927346, -0.1354849027968686, 0.8613712349684953, 0.42174121241001783, -1.330041524321654, -0.2214808877154617, -0.993722562477752, 0.18392254142999373, -0.9256007528868808, 0.1552563526822461, ...
{ "n_parameters": 36, "n_qubits": 7, "optimal_eigenvalue": -9.75, "target_ratio": 0.97, "target_value": -9.4575 }
210
b80d831cd9b07b1f2aaf1d64249cf046
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 4, "target": 6}]}
{"states": [74, 106], "expectation_value": -2.3768189729459364, "params": [[[-0.0165, 0.019200000000000002], [0.6082000000000001, 0.0024000000000000002], [0.6065, 0.015000000000000001], [0.09670000000000001, 0.036500000000000005], [0.6099, 0.1963], [0.3674, 0.2111], [-0.1537, 0.5798], [0.53, 0.6082000000000001]], [[0.5903, 0.060200000000000004], [0.6076, -0.0022], [0.6062000000000001, 0.0122], [0.2449, -0.035500000000000004], [0.6044, 0.27490000000000003], [0.19970000000000002, 0.43670000000000003], [-0.0244, 0.42610000000000003], [0.5315, -0.5269]], [[-0.5392, -0.0091], [0.6101, 0.014], [0.5997, -0.029400000000000003], [-0.30410000000000004, 0.1585], [0.6093000000000001, 0.5949], [0.3539, 0.317], [0.3655, 0.6064], [0.0425, -0.5782]]], "bitstrings": ["10110101", "10010101"], "total_optimization_steps": 60, "probabilities": [0.1268115711738014, 0.20843698718359369], "optimization_time": 10.459664106369019}
0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(1)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(2)) + -0.0625 * (Z(0) @ Z(4) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(4) @ Z(1) @ Z(2)) + -0.0625 * (Z(4) @ Z(1) @ Z(3)) + -0.0625 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(4) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(4) @ Z(1) @ Z(3)) + 0.0625 * (Z(0) @ Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + -0.5625 * Z(0) + 0.1875 * Z(1) + -0.0625 * Z(2) + -0.5625 * Z(3) + -0.0625 * Z(4) + -0.25 * Z(5) + -0.25 * Z(6) + -0.5 * Z(7)
15
8
3
{"smallest_eigenvalues": [-3.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10010101"], "largest_eigenvalue": 6.1875}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; rx(0.057187703765313375) q[0]; rz(0.7690216135978227) q[0]; rx(1.209906049124608) q[1]; rz(-0.07290860364248924) q[1]; cx q[1], q[0]; rz(-0.028593851882656687) q[0]; cx q[1], q[0]; rx(0.05718770376531337) q[0]; rz(-0.6005090386584673) q[0]; rz(0.11078862637344898) q[1]; rx(1.2903415687138335) q[2]; rz(-0.23890544662035218) q[2]; rx(0.10497633905354888) q[3]; rz(-0.06733609960099873) q[3]; cx q[3], q[2]; rz(0.1621462557012216) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(-0.11078862637344898) q[1]; cx q[2], q[1]; rx(1.821628262677862) q[1]; rz(-0.03189157474137158) q[1]; cx q[1], q[0]; rz(-0.006861809006524527) q[0]; cx q[1], q[0]; rz(0.3772651691765591) q[3]; rz(-0.03639378382703033) q[1]; rx(1.6098073292472552) q[2]; rz(0.24288537502921637) q[2]; rx(1.3402996070483728) q[4]; rz(-0.07216043083283585) q[4]; rx(0.03206647432155457) q[5]; rz(0.5921790357738657) q[5]; cx q[5], q[4]; rz(0.03799199122565406) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(-0.3772651691765591) q[3]; cx q[4], q[3]; rz(0.07516347057003545) q[5]; rx(0.10497633905354888) q[3]; rz(0.5731229697517193) q[3]; cx q[3], q[2]; rz(-0.0013529248432194163) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(0.03639378382703033) q[1]; cx q[2], q[1]; rz(-0.2391777481959686) q[3]; rx(1.6177540882720023) q[4]; rz(0.5019809533159174) q[4]; rx(1.7937093908584707) q[6]; rz(0.14254464310940662) q[6]; rx(-0.43007601913133187) q[7]; rz(0.034738444968347215) q[7]; cx q[7], q[6]; rz(0.033050759761234935) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(-0.07516347057003545) q[5]; cx q[6], q[5]; rx(-0.14013005907737536) q[5]; rz(0.3007821158734343) q[5]; cx q[5], q[4]; rz(-0.028593851882656687) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(0.2391777481959686) q[3]; cx q[4], q[3]; rz(0.10000377667639343) q[5]; rx(1.4879202655320454) q[6]; rz(0.09277824034690152) q[6]; rx(0.3986530478574357) q[7]; rz(-0.10633620648154646) q[7]; cx q[7], q[6]; rz(0.15321877892296087) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(-0.10000377667639343) q[5]; cx q[6], q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; cx q[7], q[0]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x8) q[0]; ry(x9) q[1]; ry(x10) q[2]; ry(x11) q[3]; ry(x12) q[4]; ry(x13) q[5]; ry(x14) q[6]; ry(x1) q[7]; cx q[7], q[6]; cx q[0], q[7]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; ry(x15) q[0]; ry(x16) q[1]; ry(x17) q[2]; ry(x18) q[3]; ry(x19) q[4]; ry(x20) q[5]; ry(x21) q[6]; ry(x22) q[7]; cx q[7], q[0]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x23) q[0]; ry(x24) q[1]; ry(x25) q[2]; ry(x26) q[3]; ry(x27) q[4]; ry(x28) q[5]; ry(x29) q[6]; ry(x30) q[7]; cx q[7], q[6]; cx q[0], q[7]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; ry(x31) q[0]; ry(x32) q[1]; ry(x33) q[2]; ry(x34) q[3]; ry(x35) q[4]; ry(x36) q[5]; ry(x37) q[6]; ry(x38) q[7]; cx q[7], q[0]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x39) q[0]; ry(x40) q[1]; ry(x41) q[2]; ry(x42) q[3]; ry(x43) q[4]; ry(x44) q[5]; ry(x45) q[6]; ry(x46) q[7]; cx q[7], q[6]; cx q[0], q[7]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
[ "IIIIIIZZ", "IIIIIZIZ", "IIIIZIIZ", "IIIZIIIZ", "IIIIIZZI", "IIIIZIZI", "IIIZIIZI", "IIIIZZII", "IIIZIZII", "IIIZZIII", "IIIIIZZZ", "IIIIZIZZ", "IIIZIIZZ", "IIIIZZIZ", "IIIZIZIZ", "IIIZZIIZ", "IIIIZZZI", "IIIZIZZI", "IIIZZIZI", "IIIZZZII", "IIIIZZZZ", "IIIZIZZZ", "IIIZZIZ...
[ 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, -0.0625, 0.25, 0.25, 0.25, -0.25, 0.5, 0.5, ...
0.97207
[ 0.057187703765313375, 0.7404277617151661, 1.209906049124608, -0.07290860364248924, 1.2903415687138335, -0.07675919091913075, 0.10497633905354888, -0.06733609960099873, 1.3402996070483726, -0.03416843960718164, 0.03206647432155457, 0.5921790357738657, 1.793709390858471, 0.1755954028706419, ...
{ "n_parameters": 42, "n_qubits": 8, "optimal_eigenvalue": -3.8125, "target_ratio": 0.97, "target_value": -3.698125 }
21
5469aa9cf7b0e564781bf3502161421e
connected_components
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 7}, {"source": 5, "target": 8}, {"source": 6, "target": 9}, {"source": 7, "target": 8}, {"source": 7, "target": 9}]}
{"states": [511, 255], "expectation_value": -0.7787330123260148, "params": [[-0.0616], [0.0661]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002782311670772738, 0.0028278287410664943], "optimization_time": 2.2647321224212646}
-1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(8) + -0.5 * Z(0)
1
9
1
{"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 13.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; rz(3.141592437712256) q[0]; ry(0.5979062205559135) q[0]; rz(1.5707965879846695) q[0]; h q[1]; h q[2]; cx q[2], q[1]; rz(1.1228046896756043) q[1]; cx q[2], q[1]; h q[3]; cx q[2], q[3]; rz(1.1228046896756043) q[3]; cx q[2], q[3]; cx q[1], q[3]; rz(0.08027592993150989) q[2]; rx(0.972890106238999) q[2]; rz(0.08027592993151006) q[3]; cx q[1], q[3]; rz(0.08027592993150989) q[1]; rx(0.972890106238999) q[1]; rz(0.08027592993150989) q[3]; rx(0.972890106238999) q[3]; h q[4]; h q[5]; h q[6]; cx q[6], q[4]; rz(1.077115981954942) q[4]; cx q[6], q[4]; h q[7]; cx q[6], q[7]; rz(1.077115981954942) q[7]; cx q[6], q[7]; cx q[4], q[7]; cx q[6], q[5]; rz(0.08027592993151006) q[5]; cx q[6], q[5]; rz(1.1228046896756043) q[7]; cx q[4], q[7]; h q[8]; cx q[6], q[8]; rz(0.19906124750355397) q[8]; cx q[6], q[8]; cx q[4], q[8]; rz(0.08027592993150989) q[6]; rx(0.972890106238999) q[6]; rz(0.08027592993151006) q[8]; cx q[4], q[8]; rz(0.08027592993150989) q[4]; rx(0.972890106238999) q[4]; cx q[7], q[8]; rz(0.08027592993151006) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(0.08027592993150989) q[7]; rx(0.972890106238999) q[7]; rz(1.1228046896756043) q[8]; cx q[5], q[8]; rz(0.08027592993150989) q[5]; rx(0.972890106238999) q[5]; rz(0.08027592993150989) q[8]; rx(0.972890106238999) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[3]; rz(x1) q[3]; cx q[1], q[3]; cx q[6], q[4]; rz(x2) q[4]; cx q[6], q[4]; cx q[6], q[7]; rz(x2) q[7]; cx q[6], q[7]; cx q[4], q[7]; rz(x0) q[7]; cx q[4], q[7]; cx q[6], q[5]; rz(x1) q[5]; cx q[6], q[5]; cx q[6], q[8]; rz(x3) q[8]; cx q[6], q[8]; cx q[4], q[8]; rz(x1) q[8]; cx q[4], q[8]; cx q[7], q[8]; rz(x1) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(x0) q[8]; cx q[5], q[8]; rz(x1) q[2]; rz(x1) q[1]; rz(x1) q[3]; rz(x1) q[6]; rz(x1) q[4]; rz(x1) q[7]; rz(x1) q[5]; rz(x1) q[8]; rz(x4) q[0]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; h q[7]; rz(x5) q[7]; h q[7]; h q[8]; rz(x5) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"node": 0}
{"circuits": [], "gradients": []}
[ "IIIIIIZZI", "IIIIIZZII", "IIIIIZIZI", "IIZIZIIII", "IZZIIIIII", "IZIIZIIII", "IIZZIIIII", "ZIZIIIIII", "ZIIIZIIII", "ZZIIIIIII", "ZIIZIIIII", "IIIIIIZII", "IIIIIIIZI", "IIIIIZIII", "IIZIIIIII", "IIIIZIIII", "IZIIIIIII", "IIIZIIIII", "ZIIIIIIII", "IIIIIIIIZ" ]
[ -1.5, -1.5, 0.5, -2, -2, -1.5, 0.5, -2.5, 0.5, 0.5, -1.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -0.5 ]
0.556
[ 1.1228046896756043, 0.08027592993151006, 1.077115981954942, 0.19906124750355397, 1.5707964738220588, 0.972890106238999 ]
{ "n_parameters": 6, "n_qubits": 9, "optimal_eigenvalue": -15, "target_ratio": 0.97, "target_value": -14.549999999999999 }
162
c451d9585216e3f1c5bc89acfa5b77d8
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}], "edges": [{"weight": 10, "source": 0, "target": 8}, {"weight": 18, "source": 0, "target": 10}, {"weight": 5, "source": 1, "target": 9}, {"weight": 13, "source": 1, "target": 11}, {"weight": 2, "source": 2, "target": 10}, {"weight": 8, "source": 3, "target": 11}, {"weight": 14, "source": 5, "target": 11}, {"weight": 18, "source": 6, "target": 9}, {"weight": 14, "source": 6, "target": 8}]}
{"states": [325, 327], "expectation_value": -60.4325017338025, "params": [[[0.012100000000000001, 0.0151], [0.1437, 0.07880000000000001], [0.7911, 0.34940000000000004], [-0.058800000000000005, 0.40140000000000003], [0.1178, -0.0373], [0.0974, 0.016300000000000002], [0.33240000000000003, 0.3628], [0.5801000000000001, 0.7867000000000001], [0.5231, 0.3924]], [[0.795, 0.2378], [-0.027100000000000003, 0.2142], [0.7514000000000001, 0.3259], [0.0086, 0.3635], [-0.017, 0.0078000000000000005], [-0.031400000000000004, 0.0427], [0.0721, 0.45790000000000003], [-0.11080000000000001, 0.34690000000000004], [0.3614, -0.4086]], [[0.3189, -0.0013000000000000002], [-0.0128, -0.1213], [0.7219, 0.19140000000000001], [0.0001, 0.2697], [0.0236, 0.0446], [-0.0855, 0.033600000000000005], [0.3049, 0.6515000000000001], [0.4273, 0.35900000000000004], [0.7941, 0.7977000000000001]], [[-0.09380000000000001, -0.0017000000000000001], [0.1825, 0.039], [0.773, 0.0016], [0.0999, 0.049100000000000005], [-0.1301, -0.0086], [-0.050100000000000006, 0.0115], [0.786, 0.5109], [0.38070000000000004, 0.5472], [0.7894, -0.21000000000000002]]], "bitstrings": ["010111010", "010111000"], "total_optimization_steps": 80, "probabilities": [0.2168744749605907, 0.4793689862293332], "optimization_time": 63.07617807388306}
6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 9.0 * Z(0) + 5.0 * Z(1) + 2.5 * Z(3) + 13.0 * Z(2) + -5.5 * Z(4) + 4.0 * Z(5) + 7.0 * Z(6) + 7.0 * Z(7) + 9.0 * Z(8)
15
9
4
{"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 109.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; ry(0.0786364078723707) q[0]; ry(0.297096745685546) q[1]; ry(0.6293510276208054) q[2]; ry(0.018589178197565743) q[3]; ry(0.3765824953094186) q[4]; ry(0.29218552655486985) q[5]; ry(0.04116465117864082) q[6]; ry(0.17790892617792425) q[7]; ry(0.6657017174768285) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.11970356944447005) q[0]; ry(0.05847675704917792) q[1]; ry(0.012115499154957722) q[2]; ry(0.07779464627960145) q[3]; ry(0.09576757820059022) q[4]; ry(0.10477370332108367) q[5]; ry(0.3333519590025794) q[6]; ry(0.6821795282998566) q[7]; ry(0.3811522337902053) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; ry(1.2532694154970012) q[0]; cx q[1], q[2]; ry(-0.2715303877488421) q[1]; cx q[2], q[3]; ry(0.9405854171020267) q[2]; cx q[3], q[4]; ry(0.14495134165509377) q[3]; cx q[4], q[5]; ry(-0.23512321008325357) q[4]; cx q[5], q[6]; ry(-0.01764894728582999) q[5]; cx q[6], q[7]; ry(0.13707880883250292) q[6]; ry(-0.1078171919895883) q[7]; ry(0.2636301619746985) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.14426124111181454) q[0]; ry(0.054270893991789866) q[1]; ry(0.22802381060292107) q[2]; ry(0.3633071577824378) q[3]; ry(-0.013634456671962426) q[4]; ry(0.05750424553653379) q[5]; ry(0.35615274656807844) q[6]; ry(0.22120319375118486) q[7]; ry(-0.5950237937290047) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; ry(0.3540972763882618) q[0]; cx q[1], q[2]; ry(-0.2156783860785194) q[1]; cx q[2], q[3]; ry(0.8166746062543156) q[2]; cx q[3], q[4]; ry(-0.1737590521970932) q[3]; cx q[4], q[5]; ry(-0.15577602975579452) q[4]; cx q[5], q[6]; ry(-0.20002321653007174) q[5]; cx q[6], q[7]; ry(0.5263218436197115) q[6]; ry(0.25665989548184753) q[7]; ry(0.8787061558705626) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.040692663732504415) q[0]; ry(-0.06986988321238584) q[1]; ry(0.13907550223289372) q[2]; ry(0.061522032865845455) q[3]; ry(-0.04885781325517886) q[4]; ry(0.061704870787317775) q[5]; ry(0.7324482723502824) q[6]; ry(0.6502006533641309) q[7]; ry(1.0215470078764326) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; ry(-0.23102205909453324) q[0]; cx q[1], q[2]; ry(0.29346815387470926) q[1]; cx q[2], q[3]; ry(0.7421913059844863) q[2]; cx q[3], q[4]; ry(-0.06626488829747648) q[3]; cx q[4], q[5]; ry(-0.052540148686023996) q[4]; cx q[5], q[6]; ry(-0.129080189167271) q[5]; cx q[6], q[7]; ry(1.3666827194321467) q[6]; ry(1.0091706602082278) q[7]; ry(0.4422292212673555) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.008603547738312461) q[0]; ry(0.04705333284900322) q[1]; ry(-0.008489914703612272) q[2]; ry(0.04410830578815555) q[3]; ry(-0.12785551380041849) q[4]; ry(-0.11534493815906606) q[5]; ry(-0.020386381637482597) q[6]; ry(-0.06161836683366637) q[7]; ry(-0.25865777723457434) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x9) q[0]; ry(x10) q[1]; ry(x11) q[2]; ry(x12) q[3]; ry(x13) q[4]; ry(x14) q[5]; ry(x15) q[6]; ry(x16) q[7]; ry(x17) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; ry(x18) q[0]; ry(x19) q[1]; ry(x20) q[2]; ry(x21) q[3]; ry(x22) q[4]; ry(x23) q[5]; ry(x24) q[6]; ry(x25) q[7]; ry(x26) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x27) q[0]; ry(x28) q[1]; ry(x29) q[2]; ry(x30) q[3]; ry(x31) q[4]; ry(x32) q[5]; ry(x33) q[6]; ry(x34) q[7]; ry(x35) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; ry(x36) q[0]; ry(x37) q[1]; ry(x38) q[2]; ry(x39) q[3]; ry(x40) q[4]; ry(x41) q[5]; ry(x42) q[6]; ry(x43) q[7]; ry(x44) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x45) q[0]; ry(x46) q[1]; ry(x47) q[2]; ry(x48) q[3]; ry(x49) q[4]; ry(x50) q[5]; ry(x51) q[6]; ry(x52) q[7]; ry(x53) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; ry(x54) q[0]; ry(x55) q[1]; ry(x56) q[2]; ry(x57) q[3]; ry(x58) q[4]; ry(x59) q[5]; ry(x60) q[6]; ry(x61) q[7]; ry(x62) q[8]; cx q[8], q[0]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x63) q[0]; ry(x64) q[1]; ry(x65) q[2]; ry(x66) q[3]; ry(x67) q[4]; ry(x68) q[5]; ry(x69) q[6]; ry(x70) q[7]; ry(x71) q[8]; cx q[8], q[7]; cx q[0], q[8]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIZZII", "IIIIZIIIZ", "IIIZIIZII", "IIZIIIZII", "IIZZIIIII", "IZIIIIIZI", "ZIIIIZIII", "ZZIIIIIII", "IIIIIIIIZ", "IIIIIIIZI", "IIIIIZIII", "IIIIIIZII", "IIIIZIIII", "IIIZIIIII", "IIZIIIIII", "IZIIIIIII", "ZIIIIIIII" ]
[ 6.5, 6.5, 6.5, 6.5, 6.5, 6.5, 6.5, 6.5, 6.5, 9, 5, 2.5, 13, -5.5, 4, 7, 7, 9 ]
0.974332
[ 0.0786364078723707, 0.297096745685546, 0.6293510276208054, 0.018589178197565743, 0.3765824953094186, 0.29218552655486985, 0.04116465117864082, 0.17790892617792425, 0.6657017174768285, 0.11970356944447005, 0.05847675704917792, 0.012115499154957722, 0.07779464627960145, 0.09576757820059022, ...
{ "n_parameters": 72, "n_qubits": 9, "optimal_eigenvalue": -71.5, "target_ratio": 0.97, "target_value": -69.355 }
62
c483323d9047b8cd40645dba921c7cdf
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 4, "target": 7}, {"source": 5, "target": 8}, {"source": 6, "target": 8}, {"source": 7, "target": 8}]}
{"states": [0, 31], "expectation_value": -12.910103032986711, "params": [0.0033, 2.309, 0.0032, 0.0009000000000000001, 0.39830000000000004, 0.8457, -0.7911, 0.0068000000000000005, 0.0017000000000000001, 2.0901, -0.0016, 0.0089, -1.0959, 0.8844000000000001, 0.11320000000000001, 0.0071, -1.0768, 0.3007, 0.5733, 0.0049, -0.9141, 0.2599, 0.0927, 0.0078000000000000005, -0.7603000000000001, 0.15960000000000002, -0.1638, 0.006500000000000001, 0.5196000000000001, 3.2767, -0.0862, 0.0016, -0.0033, -3.33, -0.0017000000000000001, 1.9421000000000002, 1.2105000000000001, 1.4631, 1.6202, 1.5897000000000001], "bitstrings": ["11111111", "11100000"], "total_optimization_steps": 460, "probabilities": [0.2957368327966733, 0.3121763214877301], "optimization_time": 63.984785079956055}
-2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + 1.0 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(7)
6
8
1
{"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 20.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; rx(-0.1059010368079266) q[0]; rz(-2.3597545357953624) q[0]; rx(-0.0632934843634757) q[1]; rz(2.1197800075554234) q[1]; rx(-0.17328799578675164) q[2]; rz(-2.4752008907911005) q[2]; rx(-2.2679618014587044) q[3]; rz(1.4121803402940643) q[3]; rx(-1.9265539690657678) q[4]; rz(1.6038498702903432) q[4]; rx(-2.7026427791131744) q[5]; rz(1.5467873374145888) q[5]; rx(-0.6501447378045581) q[6]; rz(1.5002208125704986) q[6]; rx(0.19525925417394008) q[7]; rz(3.1233340271995242) q[7]; cx q[7], q[6]; ry(-1.0884290847557716) q[6]; cx q[7], q[6]; cx q[7], q[5]; ry(1.0884290847557716) q[6]; rz(-pi/2) q[6]; ry(-1.157180737048118) q[5]; cx q[7], q[5]; cx q[7], q[4]; ry(-0.9652277659604337) q[4]; cx q[7], q[4]; cx q[7], q[3]; ry(-1.2722980630990648) q[3]; cx q[7], q[3]; cx q[7], q[2]; ry(0.05893335104171549) q[2]; cx q[7], q[2]; cx q[7], q[1]; ry(1.5691377955341241) q[1]; cx q[7], q[1]; cx q[7], q[0]; ry(-1.5691377955341241) q[1]; ry(0.0010685149445917872) q[0]; cx q[7], q[0]; ry(-0.001068514944591787) q[0]; rz(pi/2) q[7]; cx q[6], q[7]; ry(-0.9938301168095821) q[7]; cx q[6], q[7]; ry(-0.05893335104171549) q[2]; ry(1.2722980630990648) q[3]; ry(0.9652277659604337) q[4]; ry(1.1571807370481182) q[5]; cx q[6], q[5]; ry(-1.157180737048118) q[5]; cx q[6], q[5]; cx q[6], q[4]; ry(1.157180737048118) q[5]; rz(-pi/2) q[5]; ry(-0.9652277659604337) q[4]; cx q[6], q[4]; cx q[6], q[3]; ry(-1.2722980630990648) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(0.05893335104171549) q[2]; cx q[6], q[2]; cx q[6], q[1]; ry(1.5691377955341241) q[1]; cx q[6], q[1]; cx q[6], q[0]; ry(-1.5691377955341241) q[1]; ry(0.0010685149445917872) q[0]; cx q[6], q[0]; ry(-0.001068514944591787) q[0]; rz(pi/2) q[6]; ry(-0.05893335104171549) q[2]; ry(1.2722980630990648) q[3]; ry(0.9652277659604337) q[4]; ry(0.993830116809582) q[7]; cx q[5], q[7]; ry(-0.9938301168095821) q[7]; cx q[5], q[7]; cx q[5], q[6]; ry(-1.0884290847557716) q[6]; cx q[5], q[6]; cx q[5], q[4]; ry(-0.9652277659604337) q[4]; cx q[5], q[4]; cx q[5], q[3]; ry(0.9652277659604337) q[4]; rz(-pi/2) q[4]; ry(-1.2722980630990648) q[3]; cx q[5], q[3]; cx q[5], q[2]; ry(0.05893335104171549) q[2]; cx q[5], q[2]; cx q[5], q[1]; ry(1.5691377955341241) q[1]; cx q[5], q[1]; cx q[5], q[0]; ry(-1.5691377955341241) q[1]; ry(0.0010685149445917872) q[0]; cx q[5], q[0]; ry(-0.001068514944591787) q[0]; rz(pi/2) q[5]; ry(-0.05893335104171549) q[2]; ry(1.2722980630990648) q[3]; ry(1.0884290847557716) q[6]; ry(0.993830116809582) q[7]; cx q[4], q[7]; ry(-0.9938301168095821) q[7]; cx q[4], q[7]; cx q[4], q[6]; ry(-1.0884290847557716) q[6]; cx q[4], q[6]; cx q[4], q[5]; ry(-1.157180737048118) q[5]; cx q[4], q[5]; cx q[4], q[3]; ry(-1.2722980630990648) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(1.2722980630990648) q[3]; rz(-pi/2) q[3]; ry(0.05893335104171549) q[2]; cx q[4], q[2]; cx q[4], q[1]; ry(1.5691377955341241) q[1]; cx q[4], q[1]; cx q[4], q[0]; ry(-1.5691377955341241) q[1]; ry(0.0010685149445917872) q[0]; cx q[4], q[0]; ry(-0.001068514944591787) q[0]; rz(pi/2) q[4]; ry(-0.05893335104171549) q[2]; ry(1.1571807370481182) q[5]; ry(1.0884290847557716) q[6]; ry(0.993830116809582) q[7]; cx q[3], q[7]; ry(-0.9938301168095821) q[7]; cx q[3], q[7]; cx q[3], q[6]; ry(-1.0884290847557716) q[6]; cx q[3], q[6]; cx q[3], q[5]; ry(-1.157180737048118) q[5]; cx q[3], q[5]; cx q[3], q[4]; ry(-0.9652277659604337) q[4]; cx q[3], q[4]; cx q[3], q[2]; ry(0.05893335104171549) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(-0.05893335104171549) q[2]; rz(-pi/2) q[2]; ry(1.5691377955341241) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(-1.5691377955341241) q[1]; ry(0.0010685149445917872) q[0]; cx q[3], q[0]; ry(-0.001068514944591787) q[0]; rz(pi/2) q[3]; ry(0.9652277659604337) q[4]; ry(1.1571807370481182) q[5]; ry(1.0884290847557716) q[6]; ry(0.993830116809582) q[7]; cx q[2], q[7]; ry(-0.9938301168095821) q[7]; cx q[2], q[7]; cx q[2], q[6]; ry(-1.0884290847557716) q[6]; cx q[2], q[6]; cx q[2], q[5]; ry(-1.157180737048118) q[5]; cx q[2], q[5]; cx q[2], q[4]; ry(-0.9652277659604337) q[4]; cx q[2], q[4]; cx q[2], q[3]; ry(-1.2722980630990648) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(1.5691377955341241) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(-1.5691377955341241) q[1]; rz(-pi/2) q[1]; ry(0.0010685149445917872) q[0]; cx q[2], q[0]; ry(-0.001068514944591787) q[0]; rz(pi/2) q[2]; ry(1.2722980630990648) q[3]; ry(0.9652277659604337) q[4]; ry(1.1571807370481182) q[5]; ry(1.0884290847557716) q[6]; ry(0.993830116809582) q[7]; cx q[1], q[7]; ry(-0.9938301168095821) q[7]; cx q[1], q[7]; cx q[1], q[6]; ry(-1.0884290847557716) q[6]; cx q[1], q[6]; cx q[1], q[5]; ry(-1.157180737048118) q[5]; cx q[1], q[5]; cx q[1], q[4]; ry(-0.9652277659604337) q[4]; cx q[1], q[4]; cx q[1], q[3]; ry(-1.2722980630990648) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(0.05893335104171549) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(0.0010685149445917872) q[0]; cx q[1], q[0]; ry(-0.0010685149445917872) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(-0.05893335104171549) q[2]; ry(1.2722980630990648) q[3]; ry(0.9652277659604337) q[4]; ry(1.1571807370481182) q[5]; ry(1.0884290847557716) q[6]; ry(0.993830116809582) q[7]; cx q[0], q[7]; ry(-0.9938301168095821) q[7]; cx q[0], q[7]; cx q[0], q[6]; ry(-1.0884290847557716) q[6]; cx q[0], q[6]; cx q[0], q[5]; ry(-1.157180737048118) q[5]; cx q[0], q[5]; cx q[0], q[4]; ry(-0.9652277659604337) q[4]; cx q[0], q[4]; cx q[0], q[3]; ry(-1.2722980630990648) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(0.05893335104171549) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(1.5691377955341241) q[1]; cx q[0], q[1]; rx(0.03839888710291238) q[0]; rz(-1.4577337520193756) q[0]; ry(1.729720353735504) q[1]; rz(-2.960839864693085) q[1]; ry(0.017247778271529225) q[2]; rz(-2.578320748726946) q[2]; ry(1.6606775041220612) q[3]; rz(-1.6805550327180776) q[3]; ry(1.7694343550257934) q[4]; rz(-0.307175290689218) q[4]; ry(-0.5346547943235923) q[5]; rz(-0.04361072967073021) q[5]; ry(-0.16980163527105438) q[6]; rz(-0.7248882099553153) q[6]; ry(0.11397231435864708) q[7]; rz(-0.8894726075439343) q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crx(x16) q[7], q[6]; crx(x17) q[7], q[5]; crx(x18) q[7], q[4]; crx(x19) q[7], q[3]; crx(x20) q[7], q[2]; crx(x21) q[7], q[1]; crx(x22) q[7], q[0]; crx(x23) q[6], q[7]; crx(x17) q[6], q[5]; crx(x18) q[6], q[4]; crx(x19) q[6], q[3]; crx(x20) q[6], q[2]; crx(x21) q[6], q[1]; crx(x22) q[6], q[0]; crx(x23) q[5], q[7]; crx(x16) q[5], q[6]; crx(x18) q[5], q[4]; crx(x19) q[5], q[3]; crx(x20) q[5], q[2]; crx(x21) q[5], q[1]; crx(x22) q[5], q[0]; crx(x23) q[4], q[7]; crx(x16) q[4], q[6]; crx(x17) q[4], q[5]; crx(x19) q[4], q[3]; crx(x20) q[4], q[2]; crx(x21) q[4], q[1]; crx(x22) q[4], q[0]; crx(x23) q[3], q[7]; crx(x16) q[3], q[6]; crx(x17) q[3], q[5]; crx(x18) q[3], q[4]; crx(x20) q[3], q[2]; crx(x21) q[3], q[1]; crx(x22) q[3], q[0]; crx(x23) q[2], q[7]; crx(x16) q[2], q[6]; crx(x17) q[2], q[5]; crx(x18) q[2], q[4]; crx(x19) q[2], q[3]; crx(x21) q[2], q[1]; crx(x22) q[2], q[0]; crx(x23) q[1], q[7]; crx(x16) q[1], q[6]; crx(x17) q[1], q[5]; crx(x18) q[1], q[4]; crx(x19) q[1], q[3]; crx(x20) q[1], q[2]; crx(x22) q[1], q[0]; crx(x23) q[0], q[7]; crx(x16) q[0], q[6]; crx(x17) q[0], q[5]; crx(x18) q[0], q[4]; crx(x19) q[0], q[3]; crx(x20) q[0], q[2]; crx(x21) q[0], q[1]; rx(x24) q[0]; rz(x25) q[0]; rx(x26) q[1]; rz(x27) q[1]; rx(x28) q[2]; rz(x29) q[2]; rx(x30) q[3]; rz(x31) q[3]; rx(x32) q[4]; rz(x33) q[4]; rx(x34) q[5]; rz(x35) q[5]; rx(x36) q[6]; rz(x37) q[6]; rx(x38) q[7]; rz(x39) q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"node": 3}
{"circuits": [], "gradients": []}
[ "IIIIIZIZ", "IIIIIZZI", "IIIIIIZZ", "IIZIZIII", "IZZIIIII", "IZIIZIII", "IIZZIIII", "IZIZIIII", "ZIZIIIII", "ZIIIZIII", "ZZIIIIII", "ZIIZIIII", "IIIIIZII", "IIIIIIIZ", "IIIIIIZI", "IIZIIIII", "IIIIZIII", "IZIIIIII", "IIIZIIII", "ZIIIIIII" ]
[ -2, -2, 0.5, -2, 1, -2, 0.5, 0.5, -2.5, 1, -2.5, -2, -1.5, -1, 1, 0.5, 0.5, 0.5, 0.5, 0.5 ]
0.970356
[ -0.10590103680792662, 2.3526344445893272, -0.0632934843634757, 0.5489836807605277, -0.17328799578675164, 2.2371880895935896, -2.2679618014587044, -0.1586159865008332, -1.9265539690657678, 0.03305354349544659, -2.7026427791131744, -0.024008989380308342, -0.6501447378045581, -0.0705755142243...
{ "n_parameters": 40, "n_qubits": 8, "optimal_eigenvalue": -15.5, "target_ratio": 0.97, "target_value": -15.035 }
162
bf001351f2bf5e55c043b36bf1cfc0ff
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 18, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 6, "source": 4, "target": 5}, {"weight": 13, "source": 4, "target": 6}, {"weight": 12, "source": 5, "target": 6}]}
{"states": [243, 115], "expectation_value": -54.42491950919529, "params": [[0.0184, 0.0224, 0.060000000000000005, 0.09620000000000001], [-0.441, -0.40490000000000004, -0.3413, -0.2199]], "bitstrings": ["00001100", "10001100"], "total_optimization_steps": 50, "probabilities": [0.1742876222208188, 0.23459532335040523], "optimization_time": 10.533221960067749}
4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 8.5 * Z(0) + 21.0 * Z(2) + 17.5 * Z(3) + -3.5 * Z(4) + 7.0 * Z(5) + 14.5 * Z(6) + 10.0 * Z(7)
1
8
4
{"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 144.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.014501327735563205) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(-0.014501327735563205) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.014501327735563205) q[2]; cx q[0], q[2]; h q[3]; cx q[1], q[3]; rz(-0.014501327735563205) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.014501327735563205) q[3]; cx q[0], q[3]; rz(-0.5692598202979595) q[0]; rx(-0.9166130684491123) q[0]; cx q[2], q[3]; rz(-0.014501327735563205) q[3]; cx q[2], q[3]; h q[4]; cx q[1], q[4]; rz(-0.014501327735563205) q[4]; cx q[1], q[4]; rz(1.0347150784178716) q[1]; rx(-0.9166130684491124) q[1]; cx q[1], q[0]; rz(0.10267877018475241) q[0]; cx q[1], q[0]; rz(-0.5166005433180798) q[4]; rx(-0.9166130684491122) q[4]; h q[5]; cx q[2], q[5]; rz(-0.014501327735563205) q[5]; cx q[2], q[5]; h q[6]; cx q[2], q[6]; rz(-0.014501327735563205) q[6]; cx q[2], q[6]; rz(0.853884051091947) q[2]; rx(-0.9166130684491124) q[2]; cx q[1], q[2]; rz(0.10267877018475241) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.10267877018475241) q[2]; cx q[0], q[2]; cx q[3], q[6]; rz(-0.014501327735563205) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(-0.014501327735563205) q[6]; cx q[5], q[6]; h q[7]; cx q[3], q[7]; rz(-0.014501327735563205) q[7]; cx q[3], q[7]; rz(0.4496391288426991) q[3]; rx(-0.9166130684491124) q[3]; cx q[1], q[3]; rz(0.10267877018475241) q[3]; cx q[1], q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(0.10267877018475241) q[3]; cx q[0], q[3]; rz(-0.04544482157122953) q[0]; rx(-0.9263169322278846) q[0]; cx q[2], q[3]; rz(0.10267877018475241) q[3]; cx q[2], q[3]; rz(0.10267877018475241) q[4]; cx q[1], q[4]; rz(0.6408994459537509) q[1]; rx(-0.9263169322278847) q[1]; cx q[1], q[0]; rz(0.4748261701676027) q[0]; cx q[1], q[0]; rz(-0.6280015157910781) q[4]; rx(-0.9263169322278847) q[4]; cx q[5], q[7]; rz(-0.014501327735563205) q[7]; cx q[5], q[7]; rz(-0.5904170101921311) q[5]; rx(-0.9166130684491124) q[5]; cx q[2], q[5]; rz(0.10267877018475241) q[5]; cx q[2], q[5]; cx q[6], q[7]; rz(-0.014501327735563205) q[7]; cx q[6], q[7]; rz(0.7104836149796325) q[6]; rx(-0.9166130684491122) q[6]; cx q[2], q[6]; rz(0.10267877018475241) q[6]; cx q[2], q[6]; rz(1.0068858003288543) q[2]; rx(-0.9263169322278847) q[2]; cx q[1], q[2]; rz(0.4748261701676027) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.4748261701676027) q[2]; cx q[0], q[2]; cx q[3], q[6]; rz(0.10267877018475241) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.10267877018475241) q[6]; cx q[5], q[6]; rz(1.0334025197694245) q[7]; rx(-0.9166130684491124) q[7]; cx q[3], q[7]; rz(0.10267877018475241) q[7]; cx q[3], q[7]; rz(1.058986593795872) q[3]; rx(-0.9263169322278848) q[3]; cx q[1], q[3]; rz(0.4748261701676027) q[3]; cx q[1], q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(0.4748261701676027) q[3]; cx q[0], q[3]; rz(-0.009624855305750302) q[0]; rx(-0.3700093780638625) q[0]; cx q[2], q[3]; rz(0.4748261701676027) q[3]; cx q[2], q[3]; rz(0.4748261701676027) q[4]; cx q[1], q[4]; rz(1.632236789387349) q[1]; rx(-0.3700093780638625) q[1]; cx q[1], q[0]; rz(0.41359050639470346) q[0]; cx q[1], q[0]; rz(-0.20687999092140252) q[4]; rx(-0.3700093780638625) q[4]; cx q[5], q[7]; rz(0.10267877018475241) q[7]; cx q[5], q[7]; rz(-0.06347013561191917) q[5]; rx(-0.9263169322278847) q[5]; cx q[2], q[5]; rz(0.4748261701676027) q[5]; cx q[2], q[5]; cx q[6], q[7]; rz(0.10267877018475241) q[7]; cx q[6], q[7]; rz(0.6829851141833738) q[6]; rx(-0.9263169322278848) q[6]; cx q[2], q[6]; rz(0.4748261701676027) q[6]; cx q[2], q[6]; rz(2.0478351811478817) q[2]; rx(-0.3700093780638625) q[2]; cx q[1], q[2]; rz(0.41359050639470346) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.41359050639470346) q[2]; cx q[0], q[2]; cx q[3], q[6]; rz(0.4748261701676027) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.4748261701676027) q[6]; cx q[5], q[6]; rz(0.36154946425113543) q[7]; rx(-0.9263169322278847) q[7]; cx q[3], q[7]; rz(0.4748261701676027) q[7]; cx q[3], q[7]; rz(1.7269681958380865) q[3]; rx(-0.3700093780638625) q[3]; cx q[1], q[3]; rz(0.41359050639470346) q[3]; cx q[1], q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(0.41359050639470346) q[3]; cx q[0], q[3]; rz(1.2123961394587779) q[0]; rx(-0.2518032797639417) q[0]; cx q[2], q[3]; rz(0.41359050639470346) q[3]; cx q[2], q[3]; rz(0.41359050639470346) q[4]; cx q[1], q[4]; rz(2.7497471810315917) q[1]; rx(-0.2518032797639416) q[1]; rz(-0.7827520466796409) q[4]; rx(-0.25180327976394157) q[4]; cx q[5], q[7]; rz(0.4748261701676027) q[7]; cx q[5], q[7]; rz(0.40438343948031497) q[5]; rx(-0.37000937806386264) q[5]; cx q[2], q[5]; rz(0.41359050639470346) q[5]; cx q[2], q[5]; cx q[6], q[7]; rz(0.4748261701676027) q[7]; cx q[6], q[7]; rz(1.9726870780868477) q[6]; rx(-0.3700093780638625) q[6]; cx q[2], q[6]; rz(0.41359050639470346) q[6]; cx q[2], q[6]; rz(-3.0599158072281414) q[2]; rx(-0.2518032797639416) q[2]; cx q[3], q[6]; rz(0.41359050639470346) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(0.41359050639470346) q[6]; cx q[5], q[6]; rz(0.9969696674877184) q[7]; rx(-0.3700093780638626) q[7]; cx q[3], q[7]; rz(0.41359050639470346) q[7]; cx q[3], q[7]; rz(3.0826412265692866) q[3]; rx(-0.2518032797639417) q[3]; cx q[5], q[7]; rz(0.41359050639470346) q[7]; cx q[5], q[7]; rz(0.7977323062788186) q[5]; rx(-0.25180327976394157) q[5]; cx q[6], q[7]; rz(0.41359050639470346) q[7]; cx q[6], q[7]; rz(2.7112161691060574) q[6]; rx(-0.2518032797639417) q[6]; rz(2.204192905808985) q[7]; rx(-0.2518032797639417) q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(x0) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(x0) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x4) q[3]; rz(x5) q[4]; rz(x6) q[5]; rz(x7) q[6]; rz(x8) q[7]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; h q[6]; rz(x9) q[6]; h q[6]; h q[7]; rz(x9) q[7]; h q[7]; cx q[1], q[0]; rz(x10) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x10) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x10) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x10) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x10) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x10) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x10) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(x10) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(x10) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x10) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x10) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(x10) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(x10) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x10) q[7]; cx q[6], q[7]; rz(x11) q[1]; rz(x12) q[0]; rz(x13) q[2]; rz(x14) q[3]; rz(x15) q[4]; rz(x16) q[5]; rz(x17) q[6]; rz(x18) q[7]; h q[0]; rz(x19) q[0]; h q[0]; h q[1]; rz(x19) q[1]; h q[1]; h q[2]; rz(x19) q[2]; h q[2]; h q[3]; rz(x19) q[3]; h q[3]; h q[4]; rz(x19) q[4]; h q[4]; h q[5]; rz(x19) q[5]; h q[5]; h q[6]; rz(x19) q[6]; h q[6]; h q[7]; rz(x19) q[7]; h q[7]; cx q[1], q[0]; rz(x20) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x20) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x20) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x20) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x20) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x20) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x20) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(x20) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(x20) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x20) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x20) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(x20) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(x20) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x20) q[7]; cx q[6], q[7]; rz(x21) q[1]; rz(x22) q[0]; rz(x23) q[2]; rz(x24) q[3]; rz(x25) q[4]; rz(x26) q[5]; rz(x27) q[6]; rz(x28) q[7]; h q[0]; rz(x29) q[0]; h q[0]; h q[1]; rz(x29) q[1]; h q[1]; h q[2]; rz(x29) q[2]; h q[2]; h q[3]; rz(x29) q[3]; h q[3]; h q[4]; rz(x29) q[4]; h q[4]; h q[5]; rz(x29) q[5]; h q[5]; h q[6]; rz(x29) q[6]; h q[6]; h q[7]; rz(x29) q[7]; h q[7]; cx q[1], q[0]; rz(x30) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x30) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x30) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x30) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x30) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x30) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x30) q[4]; cx q[1], q[4]; cx q[2], q[5]; rz(x30) q[5]; cx q[2], q[5]; cx q[2], q[6]; rz(x30) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x30) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x30) q[6]; cx q[5], q[6]; cx q[3], q[7]; rz(x30) q[7]; cx q[3], q[7]; cx q[5], q[7]; rz(x30) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x30) q[7]; cx q[6], q[7]; rz(x31) q[1]; rz(x32) q[0]; rz(x33) q[2]; rz(x34) q[3]; rz(x35) q[4]; rz(x36) q[5]; rz(x37) q[6]; rz(x38) q[7]; h q[0]; rz(x39) q[0]; h q[0]; h q[1]; rz(x39) q[1]; h q[1]; h q[2]; rz(x39) q[2]; h q[2]; h q[3]; rz(x39) q[3]; h q[3]; h q[4]; rz(x39) q[4]; h q[4]; h q[5]; rz(x39) q[5]; h q[5]; h q[6]; rz(x39) q[6]; h q[6]; h q[7]; rz(x39) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"matching": "maximum", "extra": "{\"n\": 7}"}
{"circuits": [], "gradients": []}
[ "IIIIIIZZ", "IIIIIZZI", "IIIIIZIZ", "IIIIZIZI", "IIIIZIIZ", "IIIIZZII", "IIIZIIZI", "IIZIIZII", "IZIIIZII", "IZIIZIII", "IZZIIIII", "ZIIIZIII", "ZIZIIIII", "ZZIIIIII", "IIIIIIZI", "IIIIIIIZ", "IIIIIZII", "IIIIZIII", "IIIZIIII", "IIZIIIII", "IZIIIIII", "ZIIIIIII" ]
[ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 13.5, 8.5, 21, 17.5, -3.5, 7, 14.5, 10 ]
0.979318
[ -0.014501327735563205, 1.0347150784178718, -0.5692598202979595, 0.8538840510919471, 0.449639128842699, -0.5166005433180799, -0.5904170101921311, 0.7104836149796329, 1.0334025197694245, -0.9166130684491123, 0.10267877018475241, 0.640899445953751, -0.04544482157122929, 1.0068858003288548, ...
{ "n_parameters": 40, "n_qubits": 8, "optimal_eigenvalue": -64.5, "target_ratio": 0.97, "target_value": -62.565 }
48
b810369a1086fa9cdadf9cd9911dedf5
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 4, "target": 8}, {"source": 4, "target": 9}, {"source": 6, "target": 9}, {"source": 7, "target": 8}, {"source": 8, "target": 9}]}
{"states": [792, 794], "expectation_value": -7.518376903941457, "params": [1.5705, 1.5671000000000002, 1.5649000000000002, 1.5722, -0.002, -0.002, -0.002, -0.002, -0.003, -0.003, 1.5681, 1.5673000000000001, 1.5766, 1.5733000000000001, -0.0015, -0.0015, -0.8068000000000001, -0.8023, 0.0031000000000000003, 0.0031000000000000003, 0.6247, 0.0082, -0.0031000000000000003, 0.0088, 0.003, 0.0041, 1.0504, 0.005200000000000001, -1.0901, 0.0074, -1.0452000000000001, 0.006900000000000001, -0.0019, 0.0071, 0.002, 0.0048000000000000004, 1.2544, 0.0036000000000000003, -0.1398, 0.0092], "bitstrings": ["0011100111", "0011100101"], "total_optimization_steps": 180, "probabilities": [0.481459053856262, 0.5184738981623556], "optimization_time": 25.536574125289917}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + -0.5 * Z(7) + 0.0 * Z(1) + -1.5 * Z(6) + -1.5 * Z(8) + 0.0 * Z(5) + -1.0 * Z(9)
13
10
1
{"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["0011100101"], "largest_eigenvalue": 19.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; ry(1.5409341786890534) q[0]; rz(0.38099844665030186) q[0]; ry(1.5845829494335075) q[1]; ry(0.00623542550926464) q[2]; ry(0.00623542550926464) q[3]; ry(0.03701897564897737) q[4]; ry(1.5195018201248003) q[5]; ry(1.5579165476881187) q[6]; ry(-0.008356659635935113) q[7]; ry(-0.928085853824604) q[8]; ry(-0.023812267500974586) q[9]; cx q[9], q[0]; rz(-0.38099844665030186) q[0]; cx q[9], q[0]; rz(-0.012839892053257862) q[9]; cx q[8], q[9]; rz(0.012839892053257862) q[9]; cx q[8], q[9]; rz(0.6225285223691667) q[8]; cx q[7], q[8]; rz(-0.6225285223691667) q[8]; cx q[7], q[8]; rz(-0.12605887475937252) q[7]; cx q[6], q[7]; rz(0.12605887475937252) q[7]; cx q[6], q[7]; rz(-0.06186843269727515) q[6]; cx q[5], q[6]; rz(0.06186843269727515) q[6]; cx q[5], q[6]; rz(-0.35481566065381215) q[5]; cx q[4], q[5]; rz(0.35481566065381215) q[5]; cx q[4], q[5]; rz(-0.5326273342791542) q[4]; cx q[3], q[4]; rz(0.5326273342791542) q[4]; cx q[3], q[4]; rz(0.4231247537011379) q[3]; cx q[2], q[3]; rz(-0.4231247537011379) q[3]; cx q[2], q[3]; rz(0.026411109865030348) q[2]; cx q[1], q[2]; rz(-0.026411109865030348) q[2]; cx q[1], q[2]; rz(0.0887106754101329) q[1]; cx q[0], q[1]; rz(-0.0887106754101329) q[1]; cx q[0], q[1]; ry(1.7166188240205398) q[0]; ry(1.6109456764689307) q[1]; rz(-0.028957994889110283) q[1]; ry(0.00623542550926464) q[2]; rz(-0.0777666598375796) q[2]; ry(0.00623542550926464) q[3]; rz(0.13717428974552742) q[3]; ry(0.03701897564897737) q[4]; rz(0.0794428406305194) q[4]; ry(1.8309472244567182) q[5]; rz(-0.015363244718943812) q[5]; ry(1.6277804621338392) q[6]; rz(-0.02265399967615315) q[6]; ry(-0.008356659635935113) q[7]; rz(-0.03357388847833312) q[7]; ry(-1.3629944876224647) q[8]; rz(0.15430175517955402) q[8]; ry(-0.023812267500974586) q[9]; cx q[9], q[8]; rz(-0.15430175517955402) q[8]; cx q[9], q[8]; rz(-0.0683534774029757) q[9]; cx q[0], q[9]; rz(0.0683534774029757) q[9]; cx q[0], q[9]; cx q[0], q[1]; rz(0.028957994889110283) q[1]; cx q[0], q[1]; cx q[1], q[2]; rz(0.0777666598375796) q[2]; cx q[1], q[2]; cx q[2], q[3]; rz(-0.13717428974552742) q[3]; cx q[2], q[3]; cx q[3], q[4]; rz(-0.0794428406305194) q[4]; cx q[3], q[4]; cx q[4], q[5]; rz(0.015363244718943812) q[5]; cx q[4], q[5]; cx q[5], q[6]; rz(0.02265399967615315) q[6]; cx q[5], q[6]; cx q[6], q[7]; rz(0.03357388847833312) q[7]; cx q[6], q[7]; rz(0.010368311880731285) q[8]; cx q[7], q[8]; rz(-0.010368311880731285) q[8]; cx q[7], q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x2) q[3]; ry(x3) q[4]; ry(x4) q[5]; ry(x5) q[6]; ry(x6) q[7]; ry(x7) q[8]; ry(x8) q[9]; crz(x9) q[9], q[0]; crz(x10) q[8], q[9]; crz(x11) q[7], q[8]; crz(x12) q[6], q[7]; crz(x13) q[5], q[6]; crz(x14) q[4], q[5]; crz(x15) q[3], q[4]; crz(x16) q[2], q[3]; crz(x17) q[1], q[2]; crz(x18) q[0], q[1]; ry(x19) q[0]; ry(x20) q[1]; ry(x2) q[2]; ry(x2) q[3]; ry(x3) q[4]; ry(x21) q[5]; ry(x22) q[6]; ry(x6) q[7]; ry(x23) q[8]; ry(x8) q[9]; crz(x24) q[9], q[8]; crz(x25) q[0], q[9]; crz(x26) q[0], q[1]; crz(x27) q[1], q[2]; crz(x28) q[2], q[3]; crz(x29) q[3], q[4]; crz(x30) q[4], q[5]; crz(x31) q[5], q[6]; crz(x32) q[6], q[7]; crz(x33) q[7], q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIZIZ", "IIIIIIZZII", "IIIIIIZIIZ", "IIIIIZIZII", "IIIIIZIIIZ", "IIZIIIIIZI", "IIIZIIIZII", "IIIZIIZIII", "IIIZIZIIII", "IZIIIIIZII", "IZIIIZIIII", "IZZIIIIIII", "IIIIZIZIII", "ZIIIIZIIII", "ZIIZIIIIII", "ZZIIIIIIII", "IIIIIIIZII", "IIIIIIIIIZ", "IIIIIIZIII", "IIIIIZIIII"...
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -2, -1, -1.5, -2, -0.5, 0, -1.5, -1.5, 0, -1 ]
0.974793
[ 1.5409341786890534, 1.5845829494335075, 0.00623542550926464, 0.03701897564897737, 1.5195018201248003, 1.5579165476881187, -0.008356659635935113, -0.928085853824604, -0.023812267500974586, 0.7619968933006037, -0.025679784106515724, 1.2450570447383333, -0.25211774951874505, -0.12373686539455...
{ "n_parameters": 34, "n_qubits": 10, "optimal_eigenvalue": -8, "target_ratio": 0.97, "target_value": -7.76 }
6
159cd19d829ee4ab847c9545b38e61cb
vertex_cover
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 4, "target": 6}]}
{"states": [88, 74], "expectation_value": -4.496515537764841, "params": null, "bitstrings": ["0100111", "0110101"], "total_optimization_steps": 23, "probabilities": [0.0670089808716783, 0.9297460398026791], "optimization_time": 16.803730249404907}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(6) + -1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3)
1
7
1
{"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110101", "1010101", "0100111", "1110100"], "largest_eigenvalue": 11.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; ry(1.5023422340445511) q[0]; ry(-0.1078429799343566) q[1]; rz(-pi) q[1]; h q[2]; ry(-0.4881456839634753) q[2]; h q[3]; ry(1.5290680296283448) q[3]; rz(-pi) q[4]; ry(-0.020911826634736206) q[4]; h q[5]; cx q[5], q[2]; ry(0.4881456839634753) q[2]; cx q[5], q[2]; ry(-0.6073437323378374) q[2]; ry(0.99870895675236) q[5]; cx q[3], q[5]; ry(-0.3418671423502384) q[5]; cx q[3], q[5]; cx q[3], q[2]; ry(0.1401162782003292) q[5]; cx q[0], q[5]; ry(-0.1401162782003292) q[5]; cx q[0], q[5]; ry(0.15098181476166964) q[2]; cx q[3], q[2]; ry(-0.03349784147977904) q[2]; cx q[0], q[2]; ry(0.03349784147977904) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(0.07852057271005222) q[1]; cx q[0], q[1]; ry(-0.08016909622815829) q[5]; cx q[2], q[5]; ry(0.08016909622815829) q[5]; cx q[2], q[5]; ry(0.07512159859688892) q[0]; cx q[3], q[0]; ry(-0.07512159859688892) q[0]; cx q[3], q[0]; ry(-0.04066569786613218) q[3]; cx q[0], q[3]; ry(0.04066569786613218) q[3]; cx q[0], q[3]; cx q[3], q[4]; ry(-0.03209759243817132) q[4]; cx q[3], q[4]; ry(-0.006742542060563858) q[1]; cx q[3], q[1]; ry(0.006742542060563858) q[1]; cx q[3], q[1]; h q[6]; ry(-1.60784788215442) q[6];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\ncry(-0.0223) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\ncry(-0.0223) q[2], q[5];\ncry(-0.0048) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[3];\nry(1.4417) q[0];\ncry(-1.0398) q[5], q[2];\nry(0.7022) q[5];\nry(-0.4578) q[2];\ncry(0.497) q[3], q[5];\ncry(-0.3761) q[3], q[2];\ncry(0.2474) q[0], q[5];\ncry(-0.1469) q[0], q[2];\ncry(-0.1214) q[0], q[1];\ncry(0.1208) q[3], q[0];\ncry(0.1157) q[0], q[3];\ncry(-0.0027) q[3], q[4];\ncry(-0.0223) q[2], q[5];\ncry(-0.0048) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n"], "gradients": [1.5105, 1.0062, 0.503, 0.5002, 0.4958, 0.253, 0.2463, 0.1912, 0.2244, 0.1882, 0.1266, 0.078, 0.0726, 0.0626, 0.0601, 0.0138, 0.0097, 0.0073, 0.0049, 0.0049, 0.0048, 0.004, 0.0028]}
[ "IIIIIZZ", "IIZIIIZ", "ZIIIIZI", "ZIIIIIZ", "ZIZIIII", "IIIIZZI", "ZIIIZII", "IZZIIII", "IZIIZII", "IIZZIII", "IIIIIZI", "IIIIIIZ", "IIZIIII", "ZIIIIII", "IIIIZII", "IZIIIII", "IIIZIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1, -1, -1.5, -1.5, -1, -0.5, 0 ]
0.995232
[ -1.60784788215442, -1.6238057458678041, -1.3844327741504878, 1.5290680296283448, 1.5023422340445511, -0.9762913679269506, 0.6568418144021216, -0.4563619175761679, 0.6837342847004768, -0.30196362952333927, 0.2802325564006584, -0.06699568295955809, -0.15704114542010444, 0.15024319719377785, ...
{ "n_parameters": 18, "n_qubits": 7, "optimal_eigenvalue": -4.5, "target_ratio": 0.97, "target_value": -4.365 }
1
6d7e5c7b3f86be8f7eca13c50e6c3de8
kclique
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 5, "target": 4}]}
{"states": [14, 7], "expectation_value": -12.718128961070258, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10584323864462455, 0.6130206780999486], "optimization_time": 85.17464828491211}
2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(4) @ Z(5)) + 2.5 * (Z(6) @ Z(1)) + 2.25 * (Z(6) @ Z(0)) + 2.5 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(5)) + 2.5 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -3.75 * Z(0) + -3.25 * Z(2) + -3.25 * Z(3) + -3.0 * Z(5) + -2.75 * Z(4) + -2.75 * Z(6)
12
7
3
{"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; rz(-1.5707963530338787) q[0]; rx(1.5707962896601955) q[0]; h q[1]; rz(2.6179939068628233) q[1]; rx(1.5707962896601952) q[1]; h q[2]; rz(1.570796224356533) q[2]; rx(1.5707962896601952) q[2]; h q[3]; rz(2.6179939068628233) q[3]; rx(1.5707962896601952) q[3]; h q[4]; rz(1.570796358080628) q[4]; rx(1.5707962896601955) q[4]; h q[5]; rz(2.6179939068628233) q[5]; rx(1.5707962896601952) q[5]; h q[6]; rz(-1.5707963530338787) q[6]; rx(1.5707962896601955) q[6];
null
{"k": 4}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\ncry(0.0075) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\ncry(-1.5708) q[6], q[3];\nry(0.8451) q[6];\ncry(-1.5708) q[5], q[2];\ncry(-1.5707) q[4], q[1];\nry(1.0936) q[4];\nry(-0.443) q[1];\nry(0.8272) q[5];\nry(-0.3828) q[3];\nry(-0.3394) q[2];\ncry(0.4115) q[4], q[6];\ncry(-0.2328) q[4], q[3];\ncry(0.366) q[4], q[5];\ncry(-0.2515) q[4], q[2];\ncry(0.2369) q[5], q[4];\ncry(-0.2073) q[5], q[1];\ncry(0.2339) q[6], q[5];\ncry(0.2174) q[5], q[6];\ncry(-0.1203) q[6], q[2];\ncry(-0.1176) q[5], q[3];\ncry(0.1469) q[6], q[4];\ncry(-0.0797) q[4], q[0];\ncry(-0.0871) q[6], q[1];\ncry(0.2741) q[1], q[6];\ncry(0.1913) q[3], q[5];\ncry(-0.1235) q[1], q[3];\ncry(0.17) q[2], q[6];\ncry(0.139) q[3], q[4];\ncry(-0.1066) q[2], q[5];\ncry(0.1659) q[1], q[5];\ncry(-0.0119) q[6], q[0];\ncry(-0.0822) q[2], q[3];\ncry(-0.0829) q[1], q[2];\ncry(0.1004) q[2], q[4];\ncry(-0.1161) q[2], q[1];\ncry(-0.0673) q[1], q[0];\ncry(-0.067) q[3], q[1];\ncry(-0.0527) q[3], q[6];\ncry(-0.0492) q[3], q[2];\ncry(0.0068) q[5], q[0];\ncry(-0.031) q[1], q[4];\ncry(-0.0092) q[3], q[0];\ncry(0.0075) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n"], "gradients": [3.8141, 1.7816, 1.3797, 1.8732, 1.303, 2.4027, 1.0562, 1.3445, 1.1403, 0.9407, 0.7218, 0.6167, 0.5951, 0.6921, 0.4583, 0.5933, 0.3888, 0.3742, 0.3561, 0.3453, 0.2918, 0.2831, 0.2613, 0.1042, 0.0712, 0.0607, 0.0655, 0.0567, 0.0538, 0.0576, 0.047, 0.0419, 0.0411, 0.038, 0.0586, 0.0373, 0.034, 0.0257, 0.0249, 0.0197, 0.0196, 0.0196, 0.0191, 0.0156, 0.0152, 0.015, 0.0144, 0.0135, 0.0118, 0.0117, 0.0116, 0.0102, 0.0095, 0.0091, 0.009, 0.0076, 0.0072, 0.0071, 0.0071, 0.0061, 0.0048, 0.0046, 0.0045, 0.0042, 0.0039, 0.0029]}
[ "IIIIIZZ", "IIIIZZI", "IIIIZIZ", "IIIZIZI", "IIIZIIZ", "IIIZZII", "IZIIIZI", "IZIIIIZ", "IZIIZII", "IZIZIII", "IIZIIZI", "IIZIIIZ", "IIZIZII", "IIZZIII", "IZZIIII", "ZIIIIZI", "ZIIIIIZ", "ZIIIZII", "ZIIZIII", "ZZIIIII", "ZIZIIII", "IIIIIZI", "IIIIIIZ", "IIIIZII", "III...
[ 2.25, 2.25, 2.25, 2.25, 2.25, 2.25, 2.5, 2.25, 2.5, 2.5, 2.5, 2.5, 2.5, 2.5, 2.25, 2.5, 2.25, 2.5, 2.5, 2.5, 2.5, -3.25, -3.75, -3.25, -3.25, -3, -2.75, -2.75 ]
0.84375
[ 9.350486944272168e-10, 1.570796358080628, -1.5707963530338784, 2.6179939068628233, 1.5707962243565334, 1.5707962896601955 ]
{ "n_parameters": 6, "n_qubits": 7, "optimal_eigenvalue": -4, "target_ratio": 0.97, "target_value": -3.88 }
161
df62b430c122c4297c9377287854fb07
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 3, "target": 4}]}
{"states": [13, 15], "expectation_value": -2.143931976438027, "params": null, "bitstrings": ["10010", "10000"], "total_optimization_steps": 18, "probabilities": [0.4479563463367854, 0.4479989981580356], "optimization_time": 7.937665700912476}
-0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2)
1
5
3
{"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"], "largest_eigenvalue": 1.75}
OPENQASM 3.0; include "stdgates.inc"; qubit[5] q; h q[0]; ry(-0.4192363165159487) q[0]; h q[1]; ry(0.8083877277033201) q[1]; h q[2]; ry(1.5715365335575289) q[2]; cx q[2], q[1]; ry(-0.8083877277033201) q[1]; cx q[2], q[1]; ry(0.0015275764421637146) q[2]; h q[3]; h q[4]; cx q[4], q[0]; ry(0.4192363165159487) q[0]; cx q[4], q[0]; ry(-1.1624487426084489) q[0]; ry(1.3192810872816187) q[4]; cx q[1], q[4]; ry(-0.2737862000398513) q[4]; cx q[1], q[4]; cx q[1], q[0]; ry(0.1462457658502841) q[0]; cx q[1], q[0]; cx q[1], q[2]; ry(-0.0015275764421637146) q[2]; cx q[1], q[2]; ry(-0.1293458458327996) q[1]; ry(0.06960010473787967) q[4]; cx q[2], q[4]; ry(-0.06960010473787967) q[4]; cx q[2], q[4]; ry(0.07236870113565522) q[0]; cx q[2], q[0]; ry(-0.07236870113565522) q[0]; cx q[2], q[0]; ry(-0.017119358431325962) q[4]; cx q[3], q[4]; ry(0.017119358431325962) q[4]; cx q[3], q[4];
null
{"source": 0, "sink": 4}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n"], "gradients": [0.5012, 0.7497, 0.3759, 0.4994, 0.4212, 0.2629, 0.1337, 0.0864, 0.0598, 0.0295, 0.0187, 0.0083, 0.0043, 0.0037, 0.0036, 0.0036, 0.0033, 0.0026]}
[ "IZIIZ", "IZIZI", "ZZIII", "ZIIIZ", "ZIIZI", "IIZZI", "IZIII", "IIIIZ", "IIIZI", "ZIIII", "IIZII" ]
[ -0.25, -0.5, -0.25, 0.5, -0.25, -0.5, -0.5, -0.25, 0.25, 0, 0.5 ]
0.976145
[ 1.5715365335575289, 1.6167754554066402, -0.8384726330318975, 1.0454948872417675, -1.0162029767581646, 0.5475724000797026, -0.2924915317005682, 0.003055152884327429, 0.13920020947575934, 0.14473740227131043, -0.1293458458327996, -0.034238716862651924 ]
{ "n_parameters": 12, "n_qubits": 5, "optimal_eigenvalue": -2.25, "target_ratio": 0.97, "target_value": -2.1825 }
8
9006e1cda586e64ac804d82481649caf
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}, {"bipartite": 1, "id": 15}], "edges": [{"weight": 1, "source": 0, "target": 8}, {"weight": 19, "source": 0, "target": 15}, {"weight": 3, "source": 1, "target": 9}, {"weight": 5, "source": 2, "target": 10}, {"weight": 1, "source": 3, "target": 11}, {"weight": 1, "source": 4, "target": 12}, {"weight": 4, "source": 5, "target": 13}, {"weight": 19, "source": 5, "target": 12}, {"weight": 13, "source": 5, "target": 11}, {"weight": 2, "source": 6, "target": 14}, {"weight": 10, "source": 7, "target": 15}, {"weight": 20, "source": 7, "target": 10}, {"weight": 11, "source": 7, "target": 13}]}
{"states": [4197, 4198], "expectation_value": -160.613053766267, "params": [[1.2783, -0.0022, 0.0012000000000000001, 0.0006000000000000001, -0.004, -0.0013000000000000002, 1.252, 0.020800000000000003, 1.6417000000000002, -0.0027, 0.8682000000000001, -0.0335, 0.5934], [0.64, 0.0017000000000000001, -0.0059, -0.0001, -0.0027, -0.0039000000000000003, 0.7026, 0.2048, 1.0126, -0.0026000000000000003, 0.8322, -0.2411, -0.3159], [1.0607, -0.0057, -0.0043, -0.0032, -0.006, -0.007500000000000001, 1.0539, 1.4128, 1.6563, -0.0025, 0.7864, 0.2311, 0.5854], [0.0419, 0.0048000000000000004, -0.001, -0.0058000000000000005, -0.0016, 0.0034000000000000002, 0.19890000000000002, 0.5740000000000001, -0.4929, -0.0025, 0.6880000000000001, -1.4587, -0.24600000000000002], [0.25570000000000004, 0.0025, -0.0021000000000000003, -0.0035, 0.0024000000000000002, 0.0018000000000000002, 0.149, 1.4368, 0.8292, -0.0026000000000000003, -0.09860000000000001, 0.1317, 1.32]], "bitstrings": ["0111110011010", "0111110011001"], "total_optimization_steps": 450, "probabilities": [0.3150068835709363, 0.39558657796541147], "optimization_time": 33.61682486534119}
8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(4) @ Z(6)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(5) @ Z(7)) + 8.5 * (Z(8) @ Z(6)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(12) @ Z(0)) + 8.5 * (Z(10) @ Z(12)) + 8.5 * (Z(3) @ Z(10)) + 8.5 * (Z(11) @ Z(8)) + 8.5 * (Z(11) @ Z(12)) + 8.5 * (Z(11) @ Z(10)) + 9.5 * Z(0) + -8.0 * Z(1) + 15.0 * Z(6) + -8.0 * Z(4) + 18.0 * Z(7) + -8.0 * Z(5) + 10.5 * Z(8) + 13.5 * Z(12) + 18.5 * Z(10) + -6.0 * Z(3) + 14.0 * Z(11) + -15.5 * Z(2) + -16.0 * Z(9)
10
13
4
{"smallest_eigenvalues": [-180.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -156.5, "smallest_bitstrings": ["0111110011001"], "largest_eigenvalue": 202.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[13] q; ry(1.2025949251878774) q[0]; ry(0.1050783695468234) q[1]; ry(-0.21778265530646382) q[2]; ry(0.04105243552603912) q[3]; ry(0.020115854014340052) q[4]; ry(-0.06853478215628747) q[5]; ry(1.3153072581093268) q[6]; ry(0.22010471896734607) q[7]; ry(2.022141860344838) q[8]; ry(-0.04684223200377585) q[9]; ry(0.9824129459457014) q[10]; ry(-0.24119992102533935) q[11]; ry(0.48020597021582523) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; ry(0.8706989346314391) q[10]; ry(-0.3452109607420628) q[11]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(0.6638134225980374) q[0]; ry(0.08895582363261552) q[1]; ry(-0.38827087894263057) q[12]; cz q[12], q[11]; cz q[11], q[10]; ry(0.357499509231863) q[11]; ry(-0.07764313741809563) q[2]; ry(-0.11284827066377594) q[3]; ry(-0.04684223200377585) q[4]; ry(0.026286033886142528) q[5]; ry(0.6498193642595744) q[6]; ry(0.12859186526619057) q[7]; ry(1.1364351953384473) q[8]; ry(-0.012687259790159978) q[9]; cz q[10], q[9]; ry(0.46190557288081413) q[10]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(1.0867141784262682) q[0]; ry(-0.12018272151193357) q[1]; ry(0.13160607095710453) q[12]; cz q[12], q[11]; cz q[11], q[10]; ry(-2.43871281323416) q[11]; ry(-0.017192800619110944) q[2]; ry(0.0022662651097864854) q[3]; ry(-0.11728562455255821) q[4]; ry(-0.09063882617511948) q[5]; ry(1.122520769015072) q[6]; ry(1.5042073372329583) q[7]; ry(2.109788795324194) q[8]; ry(-0.02506466251293893) q[9]; cz q[10], q[9]; ry(0.9027468166606408) q[10]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(-0.009528867469882366) q[0]; ry(0.18466302668826048) q[1]; ry(-0.15753180644018533) q[12]; cz q[12], q[11]; cz q[11], q[10]; ry(0.1898585043311975) q[11]; ry(0.20615413412046985) q[2]; ry(0.22532877303172194) q[3]; ry(0.042501565000796174) q[4]; ry(0.04424854143226299) q[5]; ry(0.05941933475873591) q[6]; ry(0.3602744470663783) q[7]; ry(-0.43482002491002286) q[8]; ry(-0.02506466251293893) q[9]; cz q[10], q[9]; ry(-0.17547383035511407) q[10]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(-0.1250622435419545) q[0]; ry(0.21060983415219245) q[1]; ry(0.8049934516249979) q[12]; ry(0.162468681440748) q[2]; ry(-0.19498907534426813) q[3]; ry(0.25670608469452033) q[4]; ry(0.1877807148869567) q[5]; ry(0.2288094650927301) q[6]; ry(1.5873536044779628) q[7]; ry(0.8631900330617107) q[8]; ry(-0.012687259790159978) q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x7; input float[64] x8; input float[64] x9; bit[13] c; qubit[13] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; ry(x11) q[11]; ry(x12) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(x13) q[0]; ry(x14) q[1]; ry(x15) q[2]; ry(x16) q[3]; ry(x9) q[4]; ry(x17) q[5]; ry(x18) q[6]; ry(x19) q[7]; ry(x20) q[8]; ry(x21) q[9]; ry(x22) q[10]; ry(x23) q[11]; ry(x24) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(x25) q[0]; ry(x26) q[1]; ry(x27) q[2]; ry(x28) q[3]; ry(x29) q[4]; ry(x30) q[5]; ry(x31) q[6]; ry(x32) q[7]; ry(x33) q[8]; ry(x34) q[9]; ry(x35) q[10]; ry(x36) q[11]; ry(x37) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(x38) q[0]; ry(x39) q[1]; ry(x40) q[2]; ry(x41) q[3]; ry(x42) q[4]; ry(x43) q[5]; ry(x44) q[6]; ry(x45) q[7]; ry(x46) q[8]; ry(x34) q[9]; ry(x47) q[10]; ry(x48) q[11]; ry(x49) q[12]; cz q[12], q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[12]; ry(x50) q[0]; ry(x51) q[1]; ry(x52) q[2]; ry(x53) q[3]; ry(x54) q[4]; ry(x55) q[5]; ry(x56) q[6]; ry(x57) q[7]; ry(x58) q[8]; ry(x21) q[9]; ry(x59) q[10]; ry(x60) q[11]; ry(x61) q[12]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIIIIIZZ", "IIIIIIZIZIIII", "IIIIIZZIIIIII", "IIIIIZIZIIIII", "IIIIZIZIIIIII", "IIIIZZIIIIIII", "ZIIIIIIIIIIIZ", "ZIZIIIIIIIIII", "IIZIIIIIIZIII", "IZIIZIIIIIIII", "ZZIIIIIIIIIII", "IZZIIIIIIIIII", "IIIIIIIIIIIIZ", "IIIIIIIIIIIZI", "IIIIIIZIIIIII", "IIIIIIIIZIIII", "IIIIIZIIIII...
[ 8.5, 8.5, 8.5, 8.5, 8.5, 8.5, 8.5, 8.5, 8.5, 8.5, 8.5, 8.5, 9.5, -8, 15, -8, 18, -8, 10.5, 13.5, 18.5, -6, 14, -15.5, -16 ]
0.97184
[ 1.2025949251878774, 0.1050783695468234, -0.21778265530646382, 0.04105243552603912, 0.020115854014340052, -0.06853478215628747, 1.3153072581093268, 0.22010471896734607, 2.022141860344838, -0.04684223200377585, 0.9824129459457014, -0.24119992102533935, 0.48020597021582523, 0.6638134225980374...
{ "n_parameters": 62, "n_qubits": 13, "optimal_eigenvalue": -180.5, "target_ratio": 0.97, "target_value": -175.085 }
23
9585bd9da3a23c867b07a66c1ae06e3f
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}], "edges": [{"weight": 10, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 12}, {"weight": 1, "source": 1, "target": 7}, {"weight": 14, "source": 1, "target": 14}, {"weight": 3, "source": 2, "target": 8}, {"weight": 20, "source": 2, "target": 12}, {"weight": 8, "source": 3, "target": 9}, {"weight": 15, "source": 3, "target": 11}, {"weight": 6, "source": 4, "target": 10}, {"weight": 15, "source": 4, "target": 12}, {"weight": 6, "source": 5, "target": 11}]}
{"states": [1874, 1362], "expectation_value": -88.62641967437706, "params": [0.8044, -0.0222, 0.2891, -0.34240000000000004, 0.8063, 0.0066, 0.0054, 0.0521, 0.8037000000000001, -0.0043, 0.0703, 0.21580000000000002, 0.8042, 0.0021000000000000003, 0.0058000000000000005, -0.31420000000000003, 0.1784, 0.0066, 0.7985, -0.0112, 0.3788, 0.2431, 0.8038000000000001, 0.0356, 0.2902, -0.3803, 0.8028000000000001, -0.0471, -0.0064, 0.22940000000000002, 0.8048000000000001, -0.0009000000000000001, 0.0506, 0.2275, 0.799, 0.0045000000000000005, -0.0016, -0.3724, 0.29610000000000003, 0.0201, 0.8043, 0.0143, 0.3733, 0.2599, 0.7976000000000001, 0.021, 0.1705, -0.3709, 0.799, 0.0396, 0.001, 0.3804, 0.7971, -0.1106, -0.125, 0.2679, 0.7998000000000001, -0.11570000000000001, -0.0083, -0.4037, 0.46830000000000005, -0.0206, 0.8029000000000001, -0.0922, 0.1809, 0.0047, -0.21330000000000002, -0.0328, -0.4117, 0.001, -0.167, -0.12710000000000002, -0.7468, -0.0403, 0.0519, 0.18050000000000002, 0.1845, 0.248, -0.4495, 0.0026000000000000003, 0.4011, 0.09190000000000001, -0.2361, -0.023100000000000002, -0.2536, 0.3784, 0.7189, 0.1888, -0.6295000000000001, 0.0041, 0.5697, -0.0636, 0.7463000000000001, -0.0068000000000000005, -0.7657, 0.5541], "bitstrings": ["00010101101", "01010101101"], "total_optimization_steps": 80, "probabilities": [0.1076937015760831, 0.3035474474603211], "optimization_time": 17.117289304733276}
8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(6)) + -3.0 * Z(1) + 18.0 * Z(0) + -1.0 * Z(2) + -7.5 * Z(3) + 18.0 * Z(4) + -6.5 * Z(5) + 7.5 * Z(6) + -4.0 * Z(7) + 15.5 * Z(9) + -5.0 * Z(8) + -5.0 * Z(10)
4
11
3
{"smallest_eigenvalues": [-113.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["01010101101"], "largest_eigenvalue": 119.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[11] q; rx(0.8956820695490713) q[0]; rz(1.5824853180585068) q[0]; rx(-0.0998878113651914) q[1]; rz(1.3231023646636775) q[1]; rx(0.7483852316762473) q[2]; rz(1.4194594008251578) q[2]; rx(-0.0971630113265931) q[3]; rz(1.7445317653883414) q[3]; rx(0.8793860617939879) q[4]; rz(1.52241760061961) q[4]; rx(0.05659078006316633) q[5]; rz(1.7372498324692724) q[5]; rx(0.7879223738332216) q[6]; rz(1.601086860234461) q[6]; rx(0.0826104073398073) q[7]; rz(1.1672193448338266) q[7]; rx(0.18729774129703067) q[8]; rz(1.4194594008251578) q[8]; rx(1.0657392544572148) q[9]; rz(1.69801841283157) q[9]; rx(-0.023864925981535997) q[10]; rz(0.034284692533248215) q[10]; cx q[10], q[9]; ry(-0.11936418976722751) q[9]; cx q[10], q[9]; ry(0.11936418976722751) q[9]; rz(-pi/2) q[9]; cx q[9], q[8]; ry(0.016370689170839624) q[8]; cx q[9], q[8]; ry(-0.016370689170839624) q[8]; rz(-pi/2) q[8]; cx q[8], q[7]; ry(0.03848652063303494) q[7]; cx q[8], q[7]; ry(-0.03848652063303494) q[7]; rz(-pi/2) q[7]; cx q[7], q[6]; ry(0.49670753687366814) q[6]; cx q[7], q[6]; ry(-0.49670753687366814) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(0.09624764552936911) q[5]; cx q[6], q[5]; ry(-0.09624764552936911) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(0.10006815756628747) q[4]; cx q[5], q[4]; ry(-0.10006815756628747) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(0.07483759093979876) q[3]; cx q[4], q[3]; ry(-0.07483759093979876) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(0.1820998051972298) q[2]; cx q[3], q[2]; ry(-0.1820998051972298) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(0.11626566631952137) q[1]; cx q[2], q[1]; ry(-0.11626566631952137) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(0.2167338344573482) q[0]; cx q[1], q[0]; ry(0.666440768494061) q[0]; rz(-0.17854874672305998) q[0]; rx(-0.023098722555852554) q[1]; rz(1.3586059844118026) q[1]; rx(0.18802476627534234) q[10]; rz(0.08812868463163978) q[10]; rx(0.7064724901865342) q[2]; rz(1.650762787811856) q[2]; rx(-0.017663725168706235) q[3]; rz(1.4750865541274027) q[3]; rx(1.181024408432507) q[4]; rz(1.6964694398395546) q[4]; rx(0.04216764084308357) q[5]; rz(1.9742795720301558) q[5]; rx(1.247348188879072) q[6]; rz(1.5027020002856446) q[6]; rx(-0.004924474150211441) q[7]; rz(1.4032148395463562) q[7]; rx(0.316912809662249) q[8]; rz(1.5099663384864552) q[8]; rx(0.8957239060070157) q[9]; rz(1.3277969275066663) q[9]; cx q[10], q[9]; ry(-0.14858730179957885) q[9]; cx q[10], q[9]; ry(0.14858730179957885) q[9]; rz(-pi/2) q[9]; cx q[9], q[8]; ry(0.22820828925100817) q[8]; cx q[9], q[8]; ry(-0.22820828925100817) q[8]; rz(-pi/2) q[8]; cx q[8], q[7]; ry(-0.0246943114081806) q[7]; cx q[8], q[7]; ry(0.0246943114081806) q[7]; rz(-pi/2) q[7]; cx q[7], q[6]; ry(0.09797757774382446) q[6]; cx q[7], q[6]; ry(-0.09797757774382446) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(-0.14261046351574164) q[5]; cx q[6], q[5]; ry(0.14261046351574164) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(-0.2507390602578248) q[4]; cx q[5], q[4]; ry(0.2507390602578248) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(-0.0022840982882393647) q[3]; cx q[4], q[3]; ry(0.0022840982882393647) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(0.1462456393350504) q[2]; cx q[3], q[2]; ry(-0.1462456393350504) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(-0.013963851726192859) q[1]; cx q[2], q[1]; ry(0.013963851726192859) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(0.01900166220825511) q[0]; cx q[1], q[0]; ry(1.3016397137966742) q[0]; rz(0.17735425294331808) q[0]; rx(-0.029003540523816415) q[1]; rz(1.220120263076108) q[1]; rx(-0.02043697124717997) q[10]; rz(-0.006857254286349958) q[10]; rx(1.2473481888790723) q[2]; rz(1.541503199985197) q[2]; rx(-0.14967518187959752) q[3]; rz(1.9686689068256946) q[3]; rx(1.0484699573598415) q[4]; rz(1.2002206110923703) q[4]; rx(-0.2007404240412972) q[5]; rz(1.6769101581677486) q[5]; rx(1.0785138632100424) q[6]; rz(1.072892033700235) q[6]; rx(-0.1285305841148857) q[7]; rz(1.2353887720549626) q[7]; rx(0.48769794782405507) q[8]; rz(1.9022718742341116) q[8]; rx(1.049986163385301) q[9]; rz(1.5353631099056404) q[9]; cx q[10], q[9]; ry(-0.24586071991651282) q[9]; cx q[10], q[9]; ry(0.24586071991651282) q[9]; rz(-pi/2) q[9]; cx q[9], q[8]; ry(0.37766253728227744) q[8]; cx q[9], q[8]; ry(-0.37766253728227744) q[8]; rz(-pi/2) q[8]; cx q[8], q[7]; ry(0.02906171825394154) q[7]; cx q[8], q[7]; ry(-0.02906171825394154) q[7]; rz(-pi/2) q[7]; cx q[7], q[6]; ry(-0.30495711086823374) q[6]; cx q[7], q[6]; ry(0.30495711086823374) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(0.08912595790704816) q[5]; cx q[6], q[5]; ry(-0.08912595790704816) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(-0.29478139486353766) q[4]; cx q[5], q[4]; ry(0.29478139486353766) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(-0.04587748929439796) q[3]; cx q[4], q[3]; ry(0.04587748929439796) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(0.30216976977701954) q[2]; cx q[3], q[2]; ry(-0.30216976977701954) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(0.0024627617514775615) q[1]; cx q[2], q[1]; ry(-0.0024627617514775615) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(-0.49711926236101733) q[0]; cx q[1], q[0]; ry(0.49711926236101733) q[0]; rz(-pi/2) q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; bit[11] c; qubit[11] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x5) q[8]; rx(x17) q[9]; rz(x18) q[9]; rx(x19) q[10]; rz(x20) q[10]; crx(x21) q[10], q[9]; crx(x22) q[9], q[8]; crx(x23) q[8], q[7]; crx(x24) q[7], q[6]; crx(x25) q[6], q[5]; crx(x26) q[5], q[4]; crx(x27) q[4], q[3]; crx(x28) q[3], q[2]; crx(x29) q[2], q[1]; crx(x30) q[1], q[0]; rx(x31) q[0]; rz(x32) q[0]; rx(x33) q[1]; rz(x34) q[1]; rx(x35) q[2]; rz(x36) q[2]; rx(x37) q[3]; rz(x38) q[3]; rx(x39) q[4]; rz(x40) q[4]; rx(x41) q[5]; rz(x42) q[5]; rx(x43) q[6]; rz(x44) q[6]; rx(x45) q[7]; rz(x46) q[7]; rx(x47) q[8]; rz(x48) q[8]; rx(x49) q[9]; rz(x50) q[9]; rx(x51) q[10]; rz(x52) q[10]; crx(x53) q[10], q[9]; crx(x54) q[9], q[8]; crx(x55) q[8], q[7]; crx(x56) q[7], q[6]; crx(x57) q[6], q[5]; crx(x58) q[5], q[4]; crx(x59) q[4], q[3]; crx(x60) q[3], q[2]; crx(x61) q[2], q[1]; crx(x62) q[1], q[0]; rx(x63) q[0]; rz(x64) q[0]; rx(x65) q[1]; rz(x66) q[1]; rx(x43) q[2]; rz(x67) q[2]; rx(x27) q[3]; rz(x68) q[3]; rx(x69) q[4]; rz(x70) q[4]; rx(x71) q[5]; rz(x72) q[5]; rx(x73) q[6]; rz(x74) q[6]; rx(x75) q[7]; rz(x76) q[7]; rx(x77) q[8]; rz(x78) q[8]; rx(x79) q[9]; rz(x80) q[9]; rx(x81) q[10]; rz(x82) q[10]; crx(x83) q[10], q[9]; crx(x84) q[9], q[8]; crx(x85) q[8], q[7]; crx(x86) q[7], q[6]; crx(x87) q[6], q[5]; crx(x88) q[5], q[4]; crx(x89) q[4], q[3]; crx(x90) q[3], q[2]; crx(x91) q[2], q[1]; crx(x92) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIIIZZ", "IIIIIIIZZII", "IIIIIIZIIIZ", "IIIIIZZIIII", "IIIZZIIIIII", "IZIIIIIIIIZ", "IZIIIIZIIII", "IZZIIIIIIII", "ZIIIZIIIIII", "IIIIIIIIIZI", "IIIIIIIIIIZ", "IIIIIIIIZII", "IIIIIIIZIII", "IIIIIIZIIII", "IIIIIZIIIII", "IIIIZIIIIII", "IIIZIIIIIII", "IZIIIIIIIII", "IIZIIIIII...
[ 8, 8, 8, 8, 8, 8, 8, 8, 8, -3, 18, -1, -7.5, 18, -6.5, 7.5, -4, 15.5, -5, -5 ]
0.980086
[ 0.8956820695490713, 0.011688991263610365, -0.09988781136519141, -0.24769396213121925, 0.7483852316762473, -0.15133692596973927, -0.09716301132659308, 0.1737354385934452, 0.8793860617939879, -0.048378726175286754, 0.05659078006316633, 0.16645350567437595, 0.7879223738332217, 0.0302905334395...
{ "n_parameters": 93, "n_qubits": 11, "optimal_eigenvalue": -113, "target_ratio": 0.97, "target_value": -109.61 }
12
abc01bbbec8df6018b1ccc06153a1aa6
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]}
{"states": [116, 84], "expectation_value": -3.6392464190117084, "params": [[[1.7069, 0.0085], [1.5388000000000002, 0.003], [1.6052000000000002, 0.004], [-0.0019, 0.0058000000000000005], [1.713, 0.006900000000000001], [-0.0017000000000000001, 0.005], [-0.0036000000000000003, 0.0064]]], "bitstrings": ["0001011", "0101011"], "total_optimization_steps": 170, "probabilities": [0.08114510402775542, 0.08651452173164505], "optimization_time": 3.2912707328796387}
0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -1.0 * Z(2) + -1.5 * Z(6) + -0.5 * Z(4)
1
7
1
{"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101011", "0011011"], "largest_eigenvalue": 13.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; rx(3.598901742831302) q[0]; rz(-0.19263656034004958) q[0]; rx(2.950115267943038) q[1]; rz(0.0170986077338334) q[1]; rx(-0.046405501093949586) q[2]; rz(-0.955121490693832) q[2]; rx(-0.32068271452814484) q[3]; rz(0.4677788598621341) q[3]; rx(3.1183563014158926) q[4]; rz(-0.8253293038746815) q[4]; rx(0.0715799366508601) q[5]; rz(1.0425074626093955) q[5]; rx(0.08335242011839639) q[6]; rz(-0.5831628395383125) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
[ "IIIZIIZ", "IZIZIII", "IZIIIIZ", "IIIZIZI", "IIIZZII", "IIIIZZI", "ZZIIIII", "ZIIIIZI", "ZIIIZII", "IZZIIII", "ZIZIIII", "IIIZIII", "IIIIIIZ", "IZIIIII", "IIIIIZI", "IIIIZII", "ZIIIIII", "IIZIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1.5, -0.5, -1.5, -1, -1, -1.5, -0.5 ]
0.971291
[ 3.598901742831302, -0.19263656034004958, 2.950115267943038, 0.0170986077338334, -0.046405501093949586, -0.955121490693832, -0.32068271452814484, 0.4677788598621341, 3.1183563014158926, -0.8253293038746815, 0.0715799366508601, 1.0425074626093955, 0.08335242011839639, -0.5831628395383125 ]
{ "n_parameters": 14, "n_qubits": 7, "optimal_eigenvalue": -5, "target_ratio": 0.97, "target_value": -4.85 }
20
3bcfe4648282d1b3b76d6f42e87e5c5d
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]}
{"states": [28, 44], "expectation_value": -0.578227559187767, "params": [[0.0584, 0.0606, 0.0551], [-0.042, -0.0477, -0.049]], "bitstrings": ["100011", "010011"], "total_optimization_steps": 10, "probabilities": [0.022125168232069264, 0.02212516823206927], "optimization_time": 3.383725643157959}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3)
1
6
3
{"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"], "largest_eigenvalue": 9.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[6] q; h q[0]; h q[1]; ry(-0.4983893330425997) q[1]; cx q[0], q[1]; ry(0.4983893330425997) q[1]; cx q[0], q[1]; ry(1.066076181721017) q[0]; ry(-0.5938713995022797) q[1]; h q[2]; ry(1.5402154026626123) q[2]; h q[3]; ry(1.5402154026626123) q[3]; ry(-0.17623757719026006) q[4]; rz(-pi) q[4]; cx q[3], q[4]; ry(0.06580493460648182) q[4]; cx q[3], q[4]; cx q[3], q[0]; ry(-0.27720227517317614) q[0]; cx q[3], q[0]; cx q[3], q[1]; ry(0.09904381191349791) q[0]; cx q[2], q[0]; ry(-0.09904381191349791) q[0]; cx q[2], q[0]; ry(0.16457129240157412) q[1]; cx q[3], q[1]; ry(-0.07119980364264647) q[1]; cx q[2], q[1]; ry(0.07119980364264647) q[1]; cx q[2], q[1]; ry(-0.012578100655478422) q[0]; cx q[1], q[0]; ry(0.012578100655478422) q[0]; cx q[1], q[0]; ry(0.013579587450863684) q[2]; cx q[3], q[2]; ry(-0.013579587450863684) q[2]; cx q[3], q[2]; ry(0.08734490162354488) q[3]; cx q[2], q[3]; ry(-0.08734490162354488) q[3]; cx q[2], q[3]; ry(-0.045645598824569984) q[4]; cx q[2], q[4]; ry(0.045645598824569984) q[4]; cx q[2], q[4]; h q[5]; ry(-1.5938656292948508) q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[5], q[2]; rz(x0) q[2]; cx q[5], q[2]; cx q[5], q[4]; rz(x0) q[4]; cx q[5], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[5], q[3]; rz(x0) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; rz(x1) q[1]; rz(x1) q[0]; rz(x2) q[5]; rz(x1) q[2]; rz(x3) q[4]; rz(x1) q[3]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; h q[3]; rz(x4) q[3]; h q[3]; h q[4]; rz(x4) q[4]; h q[4]; h q[5]; rz(x4) q[5]; h q[5]; cx q[1], q[0]; rz(x5) q[0]; cx q[1], q[0]; cx q[1], q[5]; rz(x5) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x5) q[5]; cx q[0], q[5]; cx q[5], q[2]; rz(x5) q[2]; cx q[5], q[2]; cx q[5], q[4]; rz(x5) q[4]; cx q[5], q[4]; cx q[2], q[4]; rz(x5) q[4]; cx q[2], q[4]; cx q[5], q[3]; rz(x5) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(x5) q[3]; cx q[4], q[3]; rz(x6) q[1]; rz(x6) q[0]; rz(x7) q[5]; rz(x6) q[2]; rz(x8) q[4]; rz(x6) q[3]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; cx q[1], q[0]; rz(x10) q[0]; cx q[1], q[0]; cx q[1], q[5]; rz(x10) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x10) q[5]; cx q[0], q[5]; cx q[5], q[2]; rz(x10) q[2]; cx q[5], q[2]; cx q[5], q[4]; rz(x10) q[4]; cx q[5], q[4]; cx q[2], q[4]; rz(x10) q[4]; cx q[2], q[4]; cx q[5], q[3]; rz(x10) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(x10) q[3]; cx q[4], q[3]; rz(x11) q[1]; rz(x11) q[0]; rz(x12) q[5]; rz(x11) q[2]; rz(x13) q[4]; rz(x11) q[3]; h q[0]; rz(x14) q[0]; h q[0]; h q[1]; rz(x14) q[1]; h q[1]; h q[2]; rz(x14) q[2]; h q[2]; h q[3]; rz(x14) q[3]; h q[3]; h q[4]; rz(x14) q[4]; h q[4]; h q[5]; rz(x14) q[5]; h q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
null
{"circuits": [], "gradients": []}
[ "IIIIZZ", "ZIIIZI", "ZIIIIZ", "ZIIZII", "ZZIIII", "IZIZII", "ZIZIII", "IZZIII", "IIIIZI", "IIIIIZ", "ZIIIII", "IIIZII", "IZIIII", "IIZIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -0.5, -0.5, -2, -0.5, -1, -0.5 ]
0.996974
[ -1.5938656292948508, -1.3287538149981546, 1.5402154026626123, -0.9967786660851994, 0.7888739065478406, -0.13160986921296364, -0.42930010710070565, 0.5544045503463523, -0.32914258480314823, 0.19808762382699582, -0.14239960728529294, 0.027159174901727368, 0.17468980324708977, -0.025156201310...
{ "n_parameters": 15, "n_qubits": 6, "optimal_eigenvalue": -4, "target_ratio": 0.97, "target_value": -3.88 }
1
db7bdfb6ee94a36848a9fd983ceba634
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 7}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 5, "source": 3, "target": 5}, {"capacity": 4, "source": 4, "target": 2}, {"capacity": 1, "source": 4, "target": 6}, {"capacity": 2, "source": 5, "target": 4}]}
{"states": [1, 65], "expectation_value": -10.942900576329208, "params": [0.0036000000000000003, 0.46480000000000005, 0.7931, 0.0086, 0.0023, 0.49760000000000004, 0.0024000000000000002, 0.5788, 0.003, -0.2806, 0.0024000000000000002, 0.5204, 0.0028, 0.6014, 0.8036000000000001, 0.0056, 0.0035, 0.0032, 0.794, 0.0043, 0.0023, 0.0091, 0.0024000000000000002, 0.0073, 0.0014, 0.0058000000000000005, 0.0024000000000000002, 0.008, 0.0028, 0.0077, 0.8091, 0.0014, 0.0083, -0.4878, -0.5669000000000001, 0.28350000000000003, -0.5049, -0.5805, 0.004, 0.008700000000000001, 0.0063, 0.004, 0.004200000000000001, 0.0081, 0.0035, 0.0021000000000000003], "bitstrings": ["11111110", "10111110"], "total_optimization_steps": 80, "probabilities": [0.25620472889786833, 0.2647220305473781], "optimization_time": 15.56736445426941}
-1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.5 * Z(5) + -0.25 * Z(6)
3
8
2
{"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 10.25}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; rx(0.14039623119325925) q[0]; rz(0.5275495493461682) q[0]; rx(1.320633293684479) q[1]; rz(-0.37084208291648135) q[1]; rx(0.10075084016578803) q[2]; rz(0.0887312811211598) q[2]; rx(0.07445349494960915) q[3]; rz(0.4716776547025745) q[3]; rx(0.0012203990205976458) q[4]; rz(-0.5741890385259412) q[4]; rx(0.07445349494960915) q[5]; rz(0.4714602486661388) q[5]; rx(0.17955934874231297) q[6]; rz(0.4914047188292532) q[6]; rx(1.5230369812904816) q[7]; rz(-0.1923154429867277) q[7]; cx q[7], q[6]; rz(0.13391167179246544) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(0.3649590161391627) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(0.2784298433910282) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(-0.2603978891071118) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(0.1858037332195575) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(0.3734987236390062) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(0.042157355145665966) q[0]; cx q[1], q[0]; rx(0.06291018341140667) q[0]; rz(0.3839950277943185) q[0]; rx(1.5540300139863101) q[1]; rz(-0.032169942376973015) q[1]; rx(0.10075084016578803) q[2]; rz(0.33529115001943044) q[2]; rx(0.07445349494960915) q[3]; rz(-0.09193844284337693) q[3]; rx(0.03545713377364393) q[4]; rz(0.04369195107402257) q[4]; rx(0.07445349494960914) q[5]; rz(-0.14361846398377498) q[5]; rx(0.179559348742313) q[6]; rz(0.08165272092124987) q[6]; rx(1.440991913176591) q[7]; rz(0.03545713377364393) q[7]; cx q[7], q[6]; rz(0.12447843346461682) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(-0.031455091705703334) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(-0.16684417340036847) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(0.02062317623800992) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(0.13391167179246544) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(0.03312512948929975) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(-0.02944473470400833) q[0]; cx q[1], q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x6) q[5]; rz(x10) q[5]; rx(x11) q[6]; rz(x12) q[6]; rx(x13) q[7]; rz(x14) q[7]; crz(x15) q[7], q[6]; crz(x16) q[6], q[5]; crz(x17) q[5], q[4]; crz(x18) q[4], q[3]; crz(x19) q[3], q[2]; crz(x20) q[2], q[1]; crz(x21) q[1], q[0]; rx(x22) q[0]; rz(x23) q[0]; rx(x24) q[1]; rz(x25) q[1]; rx(x4) q[2]; rz(x26) q[2]; rx(x6) q[3]; rz(x27) q[3]; rx(x28) q[4]; rz(x29) q[4]; rx(x6) q[5]; rz(x30) q[5]; rx(x11) q[6]; rz(x31) q[6]; rx(x32) q[7]; rz(x28) q[7]; crz(x33) q[7], q[6]; crz(x22) q[6], q[5]; crz(x34) q[5], q[4]; crz(x35) q[4], q[3]; crz(x15) q[3], q[2]; crz(x36) q[2], q[1]; crz(x37) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"source": 0, "sink": 7}
{"circuits": [], "gradients": []}
[ "IIIIIZIZ", "IIIIZZII", "IIIIZIIZ", "ZIIIIIIZ", "ZIIIIIZI", "IIIZIZII", "IIZIIZII", "IIZIZIII", "IIZZIIII", "IZIZIIII", "IIIIIZII", "IIIIIIIZ", "IIIIZIII", "ZIIIIIII", "IIIIIIZI", "IIIZIIII", "IIZIIIII", "IZIIIIII" ]
[ -1.5, -1, -1, 2.75, -1.5, -1.75, -0.75, -1.25, -0.5, -0.25, 0, -0.25, -0.75, 1.25, 1.5, 0, -1.5, -0.25 ]
0.971311
[ 0.14039623119325925, 0.5697069044918339, 1.320633293684479, 0.002656640722524764, 0.10075084016578803, 0.2745350143407175, 0.07445349494960915, 0.21127976559546266, 0.0012203990205976456, -0.2957591951349129, 0.8364192648053017, 0.179559348742313, 0.6253163906217188, 1.5230369812904816, ...
{ "n_parameters": 38, "n_qubits": 8, "optimal_eigenvalue": -17.75, "target_ratio": 0.97, "target_value": -17.2175 }
14
81433db079a35f69a6b9f63c7352b11b
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": 7, "target": 10}, {"source": 7, "target": 11}, {"source": 8, "target": 9}, {"source": 8, "target": 11}, {"source": 9, "target": 10}, {"source": 9, "target": 11}, {"source": 10, "target": 11}]}
{"states": [2047, 1023], "expectation_value": -33.02496270039904, "params": [[[-1.6232, 0.001], [0.0024000000000000002, 0.0058000000000000005], [0.0024000000000000002, 0.0017000000000000001], [0.0025, 0.0006000000000000001], [0.0025, 0.0012000000000000001], [0.0025, 0.0098], [0.0026000000000000003, 0.0086], [0.0023, 0.0027], [0.0028, 0.004], [0.0022, 0.0034000000000000002], [3.1596, 0.0064]]], "bitstrings": ["00000000000", "10000000000"], "total_optimization_steps": 320, "probabilities": [0.47377921230773845, 0.5261259504935004], "optimization_time": 8.3877432346344}
-2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(8)) + 1.0 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(2)) + -2.5 * (Z(10) @ Z(1)) + 1.0 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(2)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(2) + 0.5 * Z(9) + 0.5 * Z(10) + -0.5 * Z(0)
2
11
1
{"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 17.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[11] q; rx(-1.5562516094458922) q[0]; rz(0.08427608686424763) q[0]; rx(-0.004723141046601025) q[1]; rz(-0.12274342804009647) q[1]; rx(-0.004723141046601025) q[2]; rz(-0.009957095196228284) q[2]; rx(-0.0059132944804929435) q[3]; rz(0.019219660409246334) q[3]; rx(-0.0059132944804929435) q[4]; rz(-0.1467831867185615) q[4]; rx(-0.0059132944804929435) q[5]; rz(0.030243864929158926) q[5]; rx(-0.08586570501582007) q[6]; rz(-0.0036467720931410014) q[6]; rx(-0.08749505660350218) q[7]; rz(0.019335463371870632) q[7]; rx(-0.07067857263658116) q[8]; rz(-0.057542277149389406) q[8]; rx(-0.05789263191292054) q[9]; rz(-0.12874675551326709) q[9]; rx(3.14214695088677) q[10]; rz(-0.11335213772983271) q[10]; cx q[10], q[9]; cx q[9], q[8]; cx q[8], q[7]; cx q[7], q[6]; cx q[6], q[5]; cx q[5], q[4]; cx q[4], q[3]; cx q[3], q[2]; cx q[2], q[1]; cx q[1], q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x2) q[2]; rz(x4) q[2]; rx(x5) q[3]; rz(x6) q[3]; rx(x5) q[4]; rz(x7) q[4]; rx(x5) q[5]; rz(x8) q[5]; rx(x9) q[6]; rz(x10) q[6]; rx(x11) q[7]; rz(x12) q[7]; rx(x13) q[8]; rz(x14) q[8]; rx(x15) q[9]; rz(x16) q[9]; rx(x17) q[10]; rz(x18) q[10]; cx q[10], q[9]; cx q[9], q[8]; cx q[8], q[7]; cx q[7], q[6]; cx q[6], q[5]; cx q[5], q[4]; cx q[4], q[3]; cx q[3], q[2]; cx q[2], q[1]; cx q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
{"node": 1}
{"circuits": [], "gradients": []}
[ "IIIIIIZZIII", "IIIIZIZIIII", "IIIIZIIZIII", "IIIIIZZIIII", "IIIIIZIZIII", "IIIIZZIIIII", "IIIZIIZIIII", "IIIZIIIZIII", "IIIZZIIIIII", "IIIZIZIIIII", "IIZIIIIIIZI", "IIIIIIIIZZI", "IIZIIIIIZII", "IZIIIIIIIZI", "IZZIIIIIIII", "IZIIIIIIZII", "ZIIIIIIIIZI", "ZIZIIIIIIII", "ZIIIIIIIZ...
[ -2.5, -2.5, -2, -2.5, 0.5, 1, -2.5, 1, -2.5, -2, -2, -2.5, -2.5, 1, 0.5, -2.5, -2.5, 1, -2.5, -2, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -0.5 ]
0.979789
[ -1.5562516094458922, 0.08427608686424763, -0.004723141046601025, -0.12274342804009647, -0.009957095196228284, -0.0059132944804929435, 0.019219660409246334, -0.1467831867185615, 0.030243864929158926, -0.08586570501582007, -0.0036467720931410014, -0.08749505660350218, 0.019335463371870632, -...
{ "n_parameters": 19, "n_qubits": 11, "optimal_eigenvalue": -33.5, "target_ratio": 0.97, "target_value": -32.495 }
1
253d3995de007ce15800f0023018551d
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 1, "source": 3, "target": 4}, {"capacity": 2, "source": 3, "target": 5}, {"capacity": 3, "source": 4, "target": 1}, {"capacity": 2, "source": 4, "target": 3}]}
{"states": [3, 1], "expectation_value": -0.8357284991832656, "params": [[-0.051800000000000006, -0.0345], [0.06520000000000001, 0.0507]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.011365268052520507, 0.012419419042559878], "optimization_time": 2.4611124992370605}
-0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5)
1
7
2
{"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.02121917373057882) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(0.7085683064572578) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.06024138352319858) q[2]; cx q[0], q[2]; h q[3]; cx q[1], q[3]; rz(-0.06024138352319858) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(-0.02121917373057882) q[3]; cx q[2], q[3]; rz(0.6816969068773844) q[2]; rx(1.7659512478861448) q[2]; h q[4]; cx q[1], q[4]; rz(-0.027419781330413187) q[4]; cx q[1], q[4]; rz(0.9534655477484595) q[1]; rx(1.7659512478861448) q[1]; cx q[3], q[4]; rz(-0.027419781330413187) q[4]; cx q[3], q[4]; rz(-0.7086536622318329) q[4]; rx(1.765951247886145) q[4]; h q[5]; cx q[3], q[5]; rz(-0.02121917373057882) q[5]; cx q[3], q[5]; rz(-0.717158803780761) q[3]; rx(1.765951247886145) q[3]; rz(-0.02121917373057869) q[5]; rx(1.765951247886145) q[5]; h q[6]; cx q[0], q[6]; rz(-0.717158803780761) q[6]; cx q[0], q[6]; rz(0.7085683064572579) q[0]; rx(1.7659512478861445) q[0]; cx q[1], q[0]; rz(0.02937759427138251) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(1.1009043106829477) q[2]; cx q[1], q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(-0.25747217679567397) q[2]; cx q[0], q[2]; rz(-0.25747217679567397) q[3]; cx q[1], q[3]; cx q[1], q[4]; cx q[2], q[3]; rz(0.02937759427138251) q[3]; cx q[2], q[3]; rz(0.846619625066682) q[2]; rx(0.9774378573918805) q[2]; rz(-0.02121917373057882) q[4]; cx q[1], q[4]; rz(0.6485468629559561) q[1]; rx(0.9774378573918807) q[1]; cx q[3], q[4]; rz(-0.02121917373057882) q[4]; cx q[3], q[4]; cx q[3], q[5]; rz(-1.81267562569033) q[4]; rx(0.9774378573918805) q[4]; rz(0.02937759427138251) q[5]; cx q[3], q[5]; rz(-1.1142663072171297) q[3]; rx(0.9774378573918803) q[3]; rz(0.029377594271382534) q[5]; rx(0.9774378573918805) q[5]; rz(-0.717158803780761) q[6]; rx(1.765951247886145) q[6]; cx q[0], q[6]; rz(-1.11426630721713) q[6]; cx q[0], q[6]; rz(1.1009043106829477) q[0]; rx(0.9774378573918803) q[0]; rz(-1.1142663072171297) q[6]; rx(0.9774378573918803) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x1) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x2) q[2]; cx q[0], q[2]; cx q[0], q[6]; rz(x3) q[6]; cx q[0], q[6]; cx q[1], q[3]; rz(x2) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x4) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x4) q[4]; cx q[3], q[4]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; rz(x5) q[1]; rz(x1) q[0]; rz(x6) q[2]; rz(x3) q[6]; rz(x3) q[3]; rz(x7) q[4]; rz(x0) q[5]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; h q[6]; rz(x8) q[6]; h q[6]; cx q[1], q[0]; rz(x9) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x10) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x11) q[2]; cx q[0], q[2]; cx q[0], q[6]; rz(x12) q[6]; cx q[0], q[6]; cx q[1], q[3]; rz(x11) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(x9) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[3], q[5]; rz(x9) q[5]; cx q[3], q[5]; rz(x13) q[1]; rz(x10) q[0]; rz(x14) q[2]; rz(x12) q[6]; rz(x12) q[3]; rz(x15) q[4]; rz(x9) q[5]; h q[0]; rz(x16) q[0]; h q[0]; h q[1]; rz(x16) q[1]; h q[1]; h q[2]; rz(x16) q[2]; h q[2]; h q[3]; rz(x16) q[3]; h q[3]; h q[4]; rz(x16) q[4]; h q[4]; h q[5]; rz(x16) q[5]; h q[5]; h q[6]; rz(x16) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"source": 0, "sink": 6}
{"circuits": [], "gradients": []}
[ "IIIIIZZ", "IIIIZZI", "IIIIZIZ", "ZIIIIIZ", "IIIZIZI", "IIIZZII", "IIZIIZI", "IIZZIII", "IZIZIII", "IIIIIZI", "IIIIIIZ", "IIIIZII", "ZIIIIII", "IIIZIII", "IIZIIII", "IZIIIII" ]
[ -0.5, -0.25, -1, 1.75, -1, -0.5, -0.75, -0.75, -0.5, -2, -0.25, -1.75, 1.75, 1.75, 1, -0.5 ]
0.970798
[ -0.02121917373057882, 0.7085683064572578, -0.06024138352319858, -0.717158803780761, -0.027419781330413187, 0.9534655477484596, 0.681696906877384, -0.7086536622318328, 1.7659512478861448, 0.02937759427138251, 1.1009043106829477, -0.25747217679567397, -1.11426630721713, 0.6485468629559561, ...
{ "n_parameters": 17, "n_qubits": 7, "optimal_eigenvalue": -10.5, "target_ratio": 0.97, "target_value": -10.185 }
73
024eb4eb919bdf65c57ab94cec1f06e3
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, {"source": 5, "target": 6}]}
{"states": [29, 21], "expectation_value": -0.04243322095067281, "params": [[0.0325], [-0.021500000000000002]], "bitstrings": ["1100010", "1101010"], "total_optimization_steps": 10, "probabilities": [0.007976386144194122, 0.007977270889166634], "optimization_time": 1.4342751502990723}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6)
1
7
1
{"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1110010"], "largest_eigenvalue": 13.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; ry(-0.026826525433737123) q[0]; rz(-pi) q[0]; h q[1]; ry(-1.6308976674274145) q[1]; h q[2]; ry(-0.4852982136203111) q[2]; h q[3]; cx q[3], q[2]; ry(0.4852982136203111) q[2]; cx q[3], q[2]; ry(-0.5282449194677151) q[2]; ry(0.9544954883708758) q[3]; h q[4]; ry(1.541237106075381) q[4]; ry(-0.026826525433737123) q[5]; rz(-pi) q[5]; h q[6]; ry(1.541237106075381) q[6]; cx q[6], q[3]; ry(-0.1572478438149278) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(0.14030975547997715) q[3]; cx q[4], q[3]; ry(-0.14030975547997715) q[3]; cx q[4], q[3]; ry(0.1780336585138946) q[2]; cx q[6], q[2]; ry(-0.06381182200433821) q[2]; cx q[4], q[2]; ry(0.06381182200433821) q[2]; cx q[4], q[2]; ry(-0.08076804496227581) q[3]; cx q[2], q[3]; ry(0.08076804496227581) q[3]; cx q[2], q[3]; ry(0.002527148320856154) q[4]; cx q[6], q[4]; ry(-0.002527148320856154) q[4]; cx q[6], q[4]; ry(0.00355661069938331) q[6]; cx q[4], q[6]; ry(-0.00355661069938331) q[6]; cx q[4], q[6]; cx q[6], q[5]; ry(-0.08326236848379687) q[5]; cx q[6], q[5]; cx q[6], q[0]; ry(-0.08326236848379687) q[0]; cx q[6], q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; rz(x1) q[1]; rz(x1) q[0]; rz(x1) q[2]; rz(x2) q[3]; rz(x2) q[4]; rz(x2) q[5]; rz(x3) q[6]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; h q[3]; rz(x4) q[3]; h q[3]; h q[4]; rz(x4) q[4]; h q[4]; h q[5]; rz(x4) q[5]; h q[5]; h q[6]; rz(x4) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
[ "IIIIIZZ", "IIIIZZI", "IIIIZIZ", "IIIZIZI", "IIIZIIZ", "IIIZZII", "IIZIIZI", "IIZIIIZ", "IZIIZII", "IZZIIII", "ZZIIIII", "IIIIIZI", "IIIIIIZ", "IIIIZII", "IIIZIII", "IIZIIII", "IZIIIII", "ZIIIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1.5, -1.5, -1.5, -1, -1, -1, 0 ]
0.993782
[ -1.6308976674274145, -1.6272321698449563, 1.541237106075381, -0.9705964272406222, 0.797247644555948, -0.3502112609538205, 0.3144956876298556, -0.3560673170277892, 0.2806195109599543, -0.12762364400867643, 0.005054296641712308, 0.00711322139876662, 0.16652473696759373, -0.16153608992455162 ...
{ "n_parameters": 14, "n_qubits": 7, "optimal_eigenvalue": -5, "target_ratio": 0.97, "target_value": -4.85 }
1
a4c9222a5b9b1eb79ad1a9b8af6d1a47
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": 5, "target": 6}]}
{"states": [54, 214], "expectation_value": -1.1583019712912672, "params": [[[0.3789, 0.7147, 0.0081, 0.0076], [0.028800000000000003, 0.7146, 0.6886, 0.0007], [0.7913, -0.0038, 0.7956000000000001, 0.0076], [0.8096, -0.0027, 0.801, 0.0046], [0.7953, 0.0037, 0.7932, 0.0046], [0.8112, 0.00030000000000000003, 0.8016000000000001, 0.0028], [0.8069000000000001, -0.0038, 0.8064, 0.0025], [0.802, 0.0002, 0.8061, 0.003], [-0.0034000000000000002, 0.0091, 0.009000000000000001, 0.0026000000000000003]]], "bitstrings": ["111001001", "100101001"], "total_optimization_steps": 80, "probabilities": [0.04436572010231507, 0.048033463414755326], "optimization_time": 3.9168522357940674}
0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3) @ Z(7)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(0) @ Z(4)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(7) @ Z(1)) + -0.25 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) + -0.75 * Z(8)
11
9
1
{"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011001", "101000011", "010011001", "101100001", "010100101", "100101001", "100100101", "101001001"], "largest_eigenvalue": 6.75}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; ry(0.13387575191618376) q[0]; rz(1.1268784712756936) q[0]; ry(-0.061935718834311704) q[1]; rz(-0.1256254565339984) q[1]; cx q[1], q[0]; ry(0.17863550986638815) q[1]; rz(-0.3160573702508178) q[1]; ry(1.4040934845537838) q[2]; rz(-0.04167296684653175) q[2]; ry(2.7078084688485244) q[3]; rz(-0.10488526508814922) q[3]; cx q[3], q[2]; ry(1.323074838428408) q[2]; rz(0.919848459626967) q[2]; cx q[2], q[1]; ry(0.4811834380130689) q[3]; rz(0.22590786009557878) q[3]; ry(1.3362806829468774) q[4]; rz(-0.0064888997952568545) q[4]; ry(1.0065816399454337) q[5]; rz(0.0076161104372490795) q[5]; cx q[5], q[4]; ry(1.599553171814918) q[4]; rz(0.22590786009557878) q[4]; cx q[4], q[3]; ry(2.2099415768313153) q[5]; rz(-0.1031481439837744) q[5]; ry(1.4428275119501128) q[6]; rz(-0.04167296684653175) q[6]; ry(1.3591971119713682) q[7]; rz(-0.07149155412324357) q[7]; cx q[7], q[6]; ry(0.14835271509572318) q[6]; rz(0.0785271322445131) q[6]; cx q[6], q[5]; ry(1.7995627156896963) q[7]; rz(0.10151879261265223) q[7]; ry(-0.21057808599765365) q[8]; rz(0.5375813926106913) q[8]; cx q[8], q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; ry(x0) q[0]; rz(x1) q[0]; ry(x2) q[1]; rz(x3) q[1]; ry(x4) q[2]; rz(x5) q[2]; ry(x6) q[3]; rz(x7) q[3]; ry(x8) q[4]; rz(x9) q[4]; ry(x10) q[5]; rz(x11) q[5]; ry(x12) q[6]; rz(x5) q[6]; ry(x13) q[7]; rz(x14) q[7]; ry(x15) q[8]; rz(x16) q[8]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; ry(x17) q[1]; rz(x18) q[1]; ry(x19) q[2]; rz(x20) q[2]; cx q[2], q[1]; ry(x21) q[3]; rz(x22) q[3]; ry(x23) q[4]; rz(x22) q[4]; cx q[4], q[3]; ry(x24) q[5]; rz(x25) q[5]; ry(x26) q[6]; rz(x27) q[6]; cx q[6], q[5]; ry(x28) q[7]; rz(x29) q[7]; cx q[8], q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIZZII", "IIIIZIZII", "IIIIZZIII", "IIIIZZZII", "IIIZIIZII", "IIZIIIZII", "IIZZIIIII", "IIZZIIZII", "IIIZIZIII", "IZIIIZIII", "IZIZIIIII", "IZIZIZIII", "IIIIZIIIZ", "IIZIIIIIZ", "IIZIZIIII", "IIZIZIIIZ", "IZIIIIIZI", "ZIIIIIIZI", "ZZIIIIIII", "ZZIIIIIZI", "...
[ 0.5, 0.25, 0.25, 0.25, -0.25, 0.25, 0.25, 0.25, -0.25, 0.25, 0.25, 0.25, -0.25, 0.25, 0.25, 0.25, -0.25, 0.25, 0.25, 0.25, -0.25, -0.25, -0.25, 0, 0, 0, 0, 0, 0, -0.75 ]
0.975619
[ 0.13387575191618376, 1.1268784712756936, -0.061935718834311704, -0.1256254565339984, 1.4040934845537838, -0.04167296684653175, 2.7078084688485244, -0.10488526508814922, 1.3362806829468774, -0.0064888997952568545, 1.0065816399454337, 0.0076161104372490795, 1.4428275119501128, 1.359197111971...
{ "n_parameters": 30, "n_qubits": 9, "optimal_eigenvalue": -3.25, "target_ratio": 0.97, "target_value": -3.1525 }
37
b4abb288c03261a7332dab8c58ac7f10
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 4, "source": 0, "target": 9}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 8}, {"capacity": 4, "source": 2, "target": 9}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 8}, {"capacity": 1, "source": 4, "target": 6}, {"capacity": 2, "source": 4, "target": 8}, {"capacity": 2, "source": 5, "target": 3}, {"capacity": 1, "source": 5, "target": 4}, {"capacity": 2, "source": 6, "target": 8}, {"capacity": 4, "source": 7, "target": 1}, {"capacity": 2, "source": 7, "target": 3}, {"capacity": 2, "source": 7, "target": 6}, {"capacity": 2, "source": 8, "target": 1}, {"capacity": 4, "source": 8, "target": 4}, {"capacity": 1, "source": 8, "target": 9}]}
{"states": [213, 209], "expectation_value": -11.133163674684397, "params": null, "bitstrings": ["1100101010", "1100101110"], "total_optimization_steps": 71, "probabilities": [0.19524069973312266, 0.62146617523988], "optimization_time": 146.6081211566925}
-0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(9) @ Z(2)) + 1.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(7) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(8)) + -0.5 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.25 * Z(2) + -0.25 * Z(0) + -1.5 * Z(8) + 0.25 * Z(9) + -1.75 * Z(1) + 1.5 * Z(7) + 0.5 * Z(3) + -0.5 * Z(4) + -0.25 * Z(6) + 0.75 * Z(5)
1
10
1
{"smallest_eigenvalues": [-11.75, -11.75, -11.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000101010", "1100101010", "1100101110"], "largest_eigenvalue": 15.25}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; h q[0]; ry(-0.7621450505269253) q[0]; h q[1]; ry(-1.5242901010538505) q[1]; h q[2]; ry(0.8000075058272839) q[2]; h q[3]; ry(0.8416923455489136) q[3]; h q[4]; ry(-1.5242901010538505) q[4]; ry(-3.132482565010216) q[5]; rz(-pi) q[5]; ry(-0.019593439157990215) q[6]; rz(-pi) q[6]; ry(-0.9071385318837114) q[7]; rz(-pi) q[7]; h q[8]; ry(-1.5242901010538505) q[8]; h q[9]; cx q[9], q[0]; ry(0.7621450505269253) q[0]; cx q[9], q[0]; ry(-0.40721228342162236) q[0]; ry(1.5078198020188534) q[9]; cx q[9], q[2]; ry(-0.8000075058272839) q[2]; cx q[9], q[2]; ry(0.11190111756405337) q[9]; cx q[2], q[9]; ry(-0.11190111756405337) q[9]; cx q[2], q[9]; cx q[2], q[3]; ry(-0.8416923455489136) q[3]; cx q[2], q[3]; cx q[3], q[0]; ry(0.013374747128088782) q[0]; cx q[3], q[0]; cx q[3], q[5]; ry(-0.029417193397736487) q[5]; cx q[3], q[5]; ry(0.045502948675962565) q[2]; cx q[3], q[2]; ry(-0.045502948675962565) q[2]; cx q[3], q[2]; ry(-0.08363922400417242) q[9]; cx q[5], q[9]; ry(0.08363922400417242) q[9]; cx q[5], q[9]; ry(-0.11211272636810261) q[2]; ry(0.27290051827653095) q[3]; cx q[9], q[3]; ry(-0.3344397427192794) q[3]; cx q[9], q[3]; ry(-0.33315942488543104) q[3]; cx q[5], q[3]; ry(0.33315942488543104) q[3]; cx q[5], q[3]; cx q[5], q[7]; ry(-0.10337896620691224) q[3]; cx q[0], q[3]; ry(0.10337896620691224) q[3]; cx q[0], q[3]; ry(0.16333852391231476) q[7]; cx q[5], q[7]; ry(-0.2158129132122949) q[7]; cx q[0], q[7]; ry(0.2158129132122949) q[7]; cx q[0], q[7]; ry(0.18003418095999119) q[0]; cx q[5], q[0]; ry(-0.18003418095999119) q[0]; cx q[5], q[0]; cx q[0], q[2]; ry(0.12052678462176802) q[2]; cx q[0], q[2]; ry(-0.05293485581487824) q[2]; cx q[5], q[2]; ry(0.05293485581487824) q[2]; cx q[5], q[2]; cx q[5], q[6]; ry(0.0313990617643818) q[6]; cx q[5], q[6]; ry(0.029117181255431106) q[3]; cx q[7], q[3]; ry(-0.029117181255431106) q[3]; cx q[7], q[3]; ry(-0.06144824377576815) q[9]; cx q[3], q[9]; ry(0.06144824377576815) q[9]; cx q[3], q[9]; ry(0.2978018035731831) q[9]; cx q[0], q[9]; ry(-0.2978018035731831) q[9]; cx q[0], q[9]; ry(-0.3563537441471509) q[0]; cx q[2], q[0]; ry(0.3563537441471509) q[0]; cx q[2], q[0];
null
{"source": 0, "sink": 9}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\n"], "gradients": [1.7339, 1.9769, 1.9984, 1.3798, 1.056, 1.0678, 0.9974, 0.594, 0.6994, 0.5016, 0.892, 0.2708, 0.1157, 0.0936, 0.0625, 0.0532, 0.0611, 0.0562, 0.0585, 0.06, 0.0459, 0.0468, 0.0394, 0.039, 0.0316, 0.0249, 0.0178, 0.0173, 0.0146, 0.0138, 0.0138, 0.0133, 0.0123, 0.0117, 0.0116, 0.0103, 0.0101, 0.01, 0.01, 0.0097, 0.0091, 0.0091, 0.0089, 0.0084, 0.008, 0.008, 0.0072, 0.007, 0.0067, 0.0067, 0.0064, 0.0064, 0.0063, 0.0062, 0.0059, 0.0059, 0.0059, 0.0049, 0.0048, 0.0041, 0.0041, 0.004, 0.004, 0.0039, 0.0036, 0.0036, 0.0036, 0.0036, 0.0036, 0.0033, 0.003]}
[ "IIIIIIIZIZ", "IZIIIIIZII", "IZIIIIIIIZ", "ZIIIIIIZII", "ZIIIIIIIIZ", "ZZIIIIIIII", "IIIIIIIZZI", "IZIIIIIIZI", "IIZIIIIIZI", "IIIIIIZZII", "IZIIIIZIII", "IIZIIIZIII", "IZIIIZIIII", "IZIZIIIIII", "IIZZIIIIII", "IIIZIZIIII", "IIIIZIZIII", "IIIIZZIIII", "IIIIIIIZII", "IIIIIIIIIZ"...
[ -0.25, -0.5, -1, -1, 1.5, -0.25, -0.75, -0.5, -1.5, -0.75, -0.75, -0.5, -1.5, -0.5, -0.5, -0.25, -0.5, -0.25, 1.25, -0.25, -1.5, 0.25, -1.75, 1.5, 0.5, -0.5, -0.25, 0.75 ]
0.970272
[ -1.5242901010538505, 1.5078198020188534, -0.39383753629353363, -1.5198038258725246, 1.6000150116545677, 0.22380223512810674, 1.5322690448175829, 1.6833846910978272, -0.026749494256177564, 0.058834386795472975, -0.16727844800834485, 0.09100589735192513, -0.5003192709988706, -0.0615392244427...
{ "n_parameters": 28, "n_qubits": 10, "optimal_eigenvalue": -11.75, "target_ratio": 0.97, "target_value": -11.397499999999999 }
47
f06cfa431b1d21951bd72bdc4807e338
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}]}
{"states": [19, 27], "expectation_value": -0.5472741347921269, "params": [[0.0577, 0.0582, 0.0636], [-0.0497, -0.0531, -0.0522]], "bitstrings": ["101100", "100100"], "total_optimization_steps": 10, "probabilities": [0.02125922170378464, 0.023799569104103382], "optimization_time": 4.024612903594971}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1)
1
6
3
{"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 7.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[6] q; h q[0]; h q[1]; h q[2]; cx q[2], q[0]; rz(-0.04358228463512977) q[0]; cx q[2], q[0]; rz(0.629790216378117) q[2]; rx(-0.6836283096730165) q[2]; h q[3]; cx q[0], q[3]; rz(-0.04358228463512977) q[3]; cx q[0], q[3]; h q[4]; cx q[0], q[4]; rz(-0.04358228463512977) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(-0.04358228463512977) q[4]; cx q[3], q[4]; rz(0.8898531274270676) q[4]; rx(-0.6836283096730165) q[4]; h q[5]; cx q[0], q[5]; rz(-0.04358228463512977) q[5]; cx q[0], q[5]; rz(-1.0388960458386052) q[0]; rx(-0.6836283096730164) q[0]; cx q[2], q[0]; rz(0.08270608385341727) q[0]; cx q[2], q[0]; rz(0.629790216378117) q[2]; rx(-1.2087704809257385) q[2]; cx q[3], q[5]; rz(-0.04358228463512977) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(-0.04358228463512977) q[1]; cx q[3], q[1]; rz(0.629790216378117) q[1]; rx(-0.6836283096730165) q[1]; rz(-1.0388960458386052) q[3]; rx(-0.6836283096730164) q[3]; cx q[0], q[3]; rz(0.08270608385341727) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(0.08270608385341727) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(0.08270608385341727) q[4]; cx q[3], q[4]; rz(0.33804559816673674) q[4]; rx(-1.2087704809257387) q[4]; rz(0.8898531274270676) q[5]; rx(-0.6836283096730165) q[5]; cx q[0], q[5]; rz(0.08270608385341727) q[5]; cx q[0], q[5]; rz(-0.4891641665369493) q[0]; rx(-1.208770480925739) q[0]; cx q[2], q[0]; rz(1.2365945368731672) q[0]; cx q[2], q[0]; rz(0.6297902163781175) q[2]; rx(-0.27340324024526813) q[2]; cx q[3], q[5]; rz(0.08270608385341727) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(0.08270608385341727) q[1]; cx q[3], q[1]; rz(0.629790216378117) q[1]; rx(-1.2087704809257385) q[1]; rz(-0.4891641665369493) q[3]; rx(-1.208770480925739) q[3]; cx q[0], q[3]; rz(1.2365945368731672) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(1.2365945368731672) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(1.2365945368731672) q[4]; cx q[3], q[4]; rz(-0.4498841416867658) q[4]; rx(-0.273403240245268) q[4]; rz(0.33804559816673674) q[5]; rx(-1.2087704809257387) q[5]; cx q[0], q[5]; rz(1.2365945368731672) q[5]; cx q[0], q[5]; rz(-0.5651441507024035) q[0]; rx(-0.27340324024526796) q[0]; cx q[3], q[5]; rz(1.2365945368731672) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(1.2365945368731672) q[1]; cx q[3], q[1]; rz(0.6297902163781175) q[1]; rx(-0.27340324024526813) q[1]; rz(-0.5651441507024035) q[3]; rx(-0.27340324024526796) q[3]; rz(-0.4498841416867658) q[5]; rx(-0.273403240245268) q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(x0) q[1]; cx q[3], q[1]; rz(x1) q[2]; rz(x2) q[0]; rz(x2) q[3]; rz(x3) q[4]; rz(x3) q[5]; rz(x1) q[1]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; h q[3]; rz(x4) q[3]; h q[3]; h q[4]; rz(x4) q[4]; h q[4]; h q[5]; rz(x4) q[5]; h q[5]; cx q[2], q[0]; rz(x5) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x5) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(x5) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(x5) q[4]; cx q[3], q[4]; cx q[0], q[5]; rz(x5) q[5]; cx q[0], q[5]; cx q[3], q[5]; rz(x5) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(x5) q[1]; cx q[3], q[1]; rz(x1) q[2]; rz(x6) q[0]; rz(x6) q[3]; rz(x7) q[4]; rz(x7) q[5]; rz(x1) q[1]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; cx q[2], q[0]; rz(x9) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x9) q[3]; cx q[0], q[3]; cx q[0], q[4]; rz(x9) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(x9) q[4]; cx q[3], q[4]; cx q[0], q[5]; rz(x9) q[5]; cx q[0], q[5]; cx q[3], q[5]; rz(x9) q[5]; cx q[3], q[5]; cx q[3], q[1]; rz(x9) q[1]; cx q[3], q[1]; rz(x1) q[2]; rz(x10) q[0]; rz(x10) q[3]; rz(x11) q[4]; rz(x11) q[5]; rz(x1) q[1]; h q[0]; rz(x12) q[0]; h q[0]; h q[1]; rz(x12) q[1]; h q[1]; h q[2]; rz(x12) q[2]; h q[2]; h q[3]; rz(x12) q[3]; h q[3]; h q[4]; rz(x12) q[4]; h q[4]; h q[5]; rz(x12) q[5]; h q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
null
{"circuits": [], "gradients": []}
[ "IIIZIZ", "IIZIIZ", "IZIIIZ", "IZZIII", "ZIIIIZ", "ZIZIII", "IIZIZI", "IIIZII", "IIIIIZ", "IIZIII", "IZIIII", "ZIIIII", "IIIIZI" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0, -1.5, -1.5, -0.5, -0.5, 0 ]
0.987514
[ -0.04358228463512977, 0.6297902163781169, -1.038896045838605, 0.8898531274270675, -0.6836283096730164, 0.08270608385341727, -0.4891641665369492, 0.3380455981667369, -1.2087704809257387, 1.2365945368731672, -0.5651441507024032, -0.44988414168676605, -0.273403240245268 ]
{ "n_parameters": 13, "n_qubits": 6, "optimal_eigenvalue": -4.5, "target_ratio": 0.97, "target_value": -4.365 }
23
a580428593ca2a54e0f078f27f8703fa
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 7}, {"capacity": 4, "source": 3, "target": 4}, {"capacity": 5, "source": 3, "target": 6}, {"capacity": 5, "source": 4, "target": 6}, {"capacity": 5, "source": 5, "target": 3}, {"capacity": 2, "source": 5, "target": 6}, {"capacity": 1, "source": 5, "target": 7}]}
{"states": [117, 125], "expectation_value": -8.24819846273081, "params": null, "bitstrings": ["10001010", "10000010"], "total_optimization_steps": 45, "probabilities": [0.49910390523101167, 0.49910390523101167], "optimization_time": 45.35703802108765}
-0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 1.25 * Z(1) + 0.0 * Z(3) + 1.5 * Z(5) + 0.25 * Z(4) + -3.0 * Z(6)
1
8
3
{"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10011010", "10001010", "10000010"], "largest_eigenvalue": 10.75}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; ry(-0.7323893184553074) q[0]; h q[1]; ry(1.6021768552422677) q[1]; h q[2]; ry(0.8045778722749679) q[2]; h q[3]; ry(0.8154121842764465) q[3]; h q[4]; h q[5]; ry(0.8024040181420935) q[5]; cx q[1], q[5]; ry(-0.8024040181420935) q[5]; cx q[1], q[5]; cx q[5], q[3]; ry(-0.8154121842764465) q[3]; cx q[5], q[3]; cx q[3], q[2]; ry(-0.8045778722749679) q[2]; cx q[3], q[2]; ry(-0.04197416482757555) q[1]; ry(0.22777370581489204) q[2]; rz(-pi) q[6]; ry(-0.11263933733250579) q[6]; h q[7]; ry(0.7098286016123188) q[7]; cx q[5], q[7]; ry(-0.7098286016123188) q[7]; cx q[5], q[7]; cx q[7], q[0]; ry(0.7323893184553074) q[0]; cx q[7], q[0]; ry(-0.10505093410735644) q[0]; cx q[5], q[0]; ry(0.10505093410735644) q[0]; cx q[5], q[0]; cx q[5], q[1]; ry(0.12257874151653207) q[0]; cx q[3], q[0]; ry(-0.12257874151653207) q[0]; cx q[3], q[0]; ry(-0.03850260980918598) q[3]; cx q[2], q[3]; ry(0.03850260980918598) q[3]; cx q[2], q[3]; ry(0.04197416482757555) q[1]; cx q[5], q[1]; ry(0.09519838854373029) q[7]; cx q[7], q[6]; ry(0.04197416482757555) q[6]; cx q[7], q[6];
null
{"source": 0, "sink": 7}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\ncry(0.002) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n"], "gradients": [2.985, 1.2564, 1.5062, 1.005, 0.5027, 0.4951, 0.4999, 0.0849, 0.0677, 0.0606, 0.0166, 0.0165, 0.0135, 0.0135, 0.0135, 0.0131, 0.0105, 0.0105, 0.0105, 0.0105, 0.0075, 0.0075, 0.0075, 0.0075, 0.0075, 0.0062, 0.006, 0.006, 0.006, 0.0058, 0.005, 0.005, 0.005, 0.0048, 0.0045, 0.0045, 0.0045, 0.0045, 0.004, 0.0038, 0.0037, 0.0037, 0.0034, 0.003, 0.003]}
[ "IIIIIZIZ", "ZIIIIZII", "ZIIIIIIZ", "IIIIIZZI", "IIIIZIZI", "ZIZIIIII", "IIZIIIZI", "IIZIZIII", "IIIZZIII", "IZIIZIII", "IZZIIIII", "IZIZIIII", "IIIIIZII", "IIIIIIIZ", "ZIIIIIII", "IIIIIIZI", "IIIIZIII", "IIZIIIII", "IIIZIIII", "IZIIIIII" ]
[ -0.25, -0.25, 0.5, -0.25, -1, -0.25, -0.5, -1.25, -1, -1.25, -0.5, -1.25, 0.25, -0.25, 0, 1.25, 0, 1.5, 0.25, -3 ]
0.993954
[ -1.6414614992998269, 1.6021768552422677, 1.604808036284187, 1.630824368552893, 1.6091557445499358, 1.4196572032246375, -1.4647786369106148, 0.09519838854373029, -0.21010186821471288, 0.22777370581489204, -0.0839483296551511, 0.24515748303306414, -0.07700521961837196 ]
{ "n_parameters": 13, "n_qubits": 8, "optimal_eigenvalue": -8.25, "target_ratio": 0.97, "target_value": -8.0025 }
1
52a084c3837e8103860964e17ff664ad
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 17, "source": 2, "target": 6}, {"weight": 5, "source": 4, "target": 5}, {"weight": 17, "source": 5, "target": 8}, {"weight": 16, "source": 5, "target": 6}, {"weight": 9, "source": 6, "target": 7}, {"weight": 13, "source": 6, "target": 8}]}
{"states": [171, 169], "expectation_value": -45.57186339411074, "params": [[[0.0063, 0.0037], [1.1724, 0.0009000000000000001], [0.0031000000000000003, 0.887], [1.1993, -0.0035], [0.1756, -0.5195000000000001], [1.1953, -0.0029000000000000002], [0.17600000000000002, -0.5057], [0.6914, 0.24730000000000002], [1.1999, -0.003]], [[-0.0025, 0.005], [1.1733, 0.0027], [0.0031000000000000003, 0.0077], [1.1974, 0.007500000000000001], [0.1738, 0.0009000000000000001], [1.2046000000000001, 0.006900000000000001], [0.1809, 0.0079], [0.6984, 0.0038], [1.2021000000000002, 0.0047]]], "bitstrings": ["101010100", "101010110"], "total_optimization_steps": 120, "probabilities": [0.21205151312422818, 0.31308552974325365], "optimization_time": 4.306939125061035}
5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * Z(1) + -9.5 * Z(0) + 6.5 * Z(3) + -8.0 * Z(2) + 12.0 * Z(5) + -2.5 * Z(4) + -3.5 * Z(6) + 8.5 * Z(8) + 5.5 * Z(7)
1
9
2
{"smallest_eigenvalues": [-60.0, -60.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -57.0, "smallest_bitstrings": ["111010110", "101010110"], "largest_eigenvalue": 109.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; rz(0.35803721432353264) q[0]; ry(0.1002304885800431) q[0]; rz(0.2423264119665247) q[0]; rz(1.9778185239615054) q[1]; ry(2.1825325331843146) q[1]; rz(-1.2716640295777515) q[1]; rz(-1.265005123067631) q[2]; ry(0.1321836081140818) q[2]; rz(1.7252076563442564) q[2]; rz(1.3041455046713128) q[3]; ry(2.670470228198388) q[3]; rz(-1.9598299042818326) q[3]; rz(1.348709101065003) q[4]; ry(0.16009151428122745) q[4]; rz(-1.496400428164411) q[4]; rz(1.924437813893337) q[5]; ry(3.005511882631321) q[5]; rz(-1.4130813762583585) q[5]; rz(0.6388478723721835) q[6]; ry(0.18908755113534045) q[6]; rz(-1.2661708279151092) q[6]; rz(1.5915046962148693) q[7]; ry(0.16410226535640984) q[7]; rz(-1.4549888415552603) q[7]; rz(1.644741969634234) q[8]; ry(2.8617482843677577) q[8]; rz(-1.514797648648413) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[0]; rz(x19) q[0]; rx(x20) q[1]; rz(x21) q[1]; rx(x4) q[2]; rz(x22) q[2]; rx(x23) q[3]; rz(x24) q[3]; rx(x25) q[4]; rz(x3) q[4]; rx(x26) q[5]; rz(x27) q[5]; rx(x28) q[6]; rz(x29) q[6]; rx(x30) q[7]; rz(x31) q[7]; rx(x32) q[8]; rz(x33) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "maximum", "extra": "{\"n\": 9}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIZIZI", "IIIIIZZII", "IIIZIIIZI", "IIIZIZIII", "IIIZZIIII", "IIZZIIIII", "IIZIZIIII", "ZIIIIIIZI", "ZIIIIZIII", "ZIIZIIIII", "ZIZIIIIII", "IZIIIIIZI", "IZIIIZIII", "IZIZIIIII", "ZZIIIIIII", "IIIIIIIZI", "IIIIIIIIZ", "IIIIIZIII", "IIIIIIZII", "IIIZIIIII", "...
[ 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -9.5, 6.5, -8, 12, -2.5, -3.5, 8.5, 5.5 ]
0.978683
[ 0.27142324413184704, 0.3824558914111357, 1.0660142889678628, 0.3580090426854323, -0.06929697599071229, 0.6102040719090158, 1.3488706353529616, -0.12323579796916302, 0.09248632844231083, -0.5040709525970754, 1.633722390878367, 0.04786520849940054, -0.041692619273492666, -0.7787375206912922,...
{ "n_parameters": 34, "n_qubits": 9, "optimal_eigenvalue": -60, "target_ratio": 0.97, "target_value": -58.199999999999996 }
11
74f3db266dbfc29b2e3165b97e91cad0
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 6}, {"capacity": 3, "source": 3, "target": 6}, {"capacity": 5, "source": 4, "target": 1}, {"capacity": 5, "source": 4, "target": 2}, {"capacity": 6, "source": 5, "target": 2}, {"capacity": 3, "source": 5, "target": 3}]}
{"states": [74, 11], "expectation_value": -11.653586946764156, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 45, "probabilities": [0.11460216893613875, 0.7884167124824446], "optimization_time": 39.79528498649597}
-1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0.75 * Z(6) + 0.0 * Z(3) + 2.25 * Z(5)
1
7
3
{"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 19.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.04184615944811212) q[0]; cx q[1], q[0]; h q[2]; cx q[0], q[2]; rz(0.45664904095762016) q[2]; cx q[0], q[2]; h q[3]; h q[4]; cx q[1], q[4]; rz(0.12895850687487254) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.12895850687487254) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.12895850687487254) q[4]; cx q[2], q[4]; rz(0.9287483803293082) q[4]; rx(1.4433797659572527) q[4]; h q[5]; h q[6]; cx q[1], q[6]; rz(-0.03723472961299448) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.6374450655047217) q[1]; rx(1.4433797659572527) q[1]; rz(-0.21737936292996754) q[6]; cx q[0], q[6]; rz(0.45664904095762004) q[0]; rx(1.443379765957253) q[0]; cx q[1], q[0]; rz(-0.16463148373233857) q[0]; cx q[1], q[0]; cx q[1], q[4]; cx q[2], q[6]; rz(0.3994192587736849) q[4]; cx q[1], q[4]; rz(0.12895850687487254) q[6]; cx q[2], q[6]; cx q[2], q[5]; rz(-0.04184615944811212) q[5]; cx q[2], q[5]; rz(0.5801198435909707) q[2]; rx(1.4433797659572527) q[2]; cx q[0], q[2]; rz(0.44502206586272475) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(0.3994192587736849) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.3994192587736849) q[4]; cx q[2], q[4]; rz(0.274655823318418) q[4]; rx(0.8779180848402809) q[4]; cx q[6], q[3]; rz(0.029373184406209597) q[3]; cx q[6], q[3]; cx q[3], q[5]; rz(0.029373184406209597) q[5]; cx q[3], q[5]; rz(-0.8274406081529806) q[3]; rx(1.4433797659572527) q[3]; rz(-1.107220371659988) q[5]; rx(1.4433797659572527) q[5]; rz(-1.0246339813489906) q[6]; rx(1.443379765957253) q[6]; cx q[1], q[6]; rz(-0.16283104820970046) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.7816681892585362) q[1]; rx(0.877918084840281) q[1]; rz(-0.40145410898603895) q[6]; cx q[0], q[6]; rz(0.44502206586272486) q[0]; rx(0.8779180848402809) q[0]; cx q[1], q[0]; rz(-0.43883816671527076) q[0]; cx q[1], q[0]; cx q[1], q[4]; cx q[2], q[6]; rz(0.8383138917745125) q[4]; cx q[1], q[4]; rz(0.3994192587736849) q[6]; cx q[2], q[6]; cx q[2], q[5]; rz(-0.16463148373233857) q[5]; cx q[2], q[5]; rz(0.9994901176066895) q[2]; rx(0.8779180848402809) q[2]; cx q[0], q[2]; rz(0.2833155123176998) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(0.8383138917745125) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.8383138917745125) q[4]; cx q[2], q[4]; rz(-0.07779076900824311) q[4]; rx(0.3458549356796486) q[4]; cx q[6], q[3]; rz(0.3876557882121117) q[3]; cx q[6], q[3]; cx q[3], q[5]; rz(0.3876557882121117) q[5]; cx q[3], q[5]; rz(-0.8274406081529806) q[3]; rx(0.877918084840281) q[3]; rz(-0.5341252228126216) q[5]; rx(0.8779180848402809) q[5]; rz(-0.5147363862114567) q[6]; rx(0.8779180848402811) q[6]; cx q[1], q[6]; rz(-0.6234984103852184) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.37975985189541284) q[1]; rx(0.34585493567964865) q[1]; rz(-0.2616234215940091) q[6]; cx q[0], q[6]; rz(0.28331551231770025) q[0]; rx(0.3458549356796487) q[0]; cx q[2], q[6]; rz(0.8383138917745125) q[6]; cx q[2], q[6]; cx q[2], q[5]; rz(-0.43883816671527076) q[5]; cx q[2], q[5]; rz(0.1574091318750801) q[2]; rx(0.34585493567964865) q[2]; cx q[6], q[3]; rz(1.087948990245519) q[3]; cx q[6], q[3]; cx q[3], q[5]; rz(1.087948990245519) q[5]; cx q[3], q[5]; rz(-0.8274406081529806) q[3]; rx(0.34585493567964876) q[3]; rz(-0.8678886440450699) q[5]; rx(0.3458549356796488) q[5]; rz(-0.9369666522318418) q[6]; rx(0.34585493567964865) q[6];
null
{"source": 0, "sink": 6}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n"], "gradients": [2.2579, 2.2354, 2.5062, 2.4649, 1.921, 1.8923, 1.1941, 1.8879, 0.8824, 0.972, 0.9035, 0.6067, 0.37, 0.1845, 0.1609, 0.1281, 0.0682, 0.058, 0.0563, 0.0348, 0.0276, 0.0212, 0.02, 0.0162, 0.0155, 0.015, 0.012, 0.0116, 0.0116, 0.0089, 0.0079, 0.0077, 0.0077, 0.0077, 0.0059, 0.0059, 0.0047, 0.0038, 0.0036, 0.0036, 0.0036, 0.0032, 0.0032, 0.0031, 0.0028]}
[ "IIIIIZZ", "IIIIZIZ", "IIZIIZI", "IIZIIIZ", "IIZIZII", "ZIIIIZI", "ZIIIIIZ", "ZIIIZII", "ZIIZIII", "IZIIZII", "IZIZIII", "IIIIIZI", "IIIIIIZ", "IIIIZII", "IIZIIII", "ZIIIIII", "IIIZIII", "IZIIIII" ]
[ -1.5, -0.25, -1.25, -1.25, -1.25, -0.5, 3.25, -1.25, -0.75, -1.5, -0.75, -2.25, -0.25, -1.75, 1.25, 0.75, 0, 2.25 ]
0.970066
[ -0.04184615944811212, 0.45664904095762016, 0.12895850687487254, -0.03723472961299448, -0.21737936292996754, 0.029373184406209597, 0.6374450655047218, 0.5801198435909705, 0.9287483803293076, -1.0246339813489909, -0.8274406081529805, -1.1072203716599882, 1.4433797659572527, -0.16463148373233...
{ "n_parameters": 37, "n_qubits": 7, "optimal_eigenvalue": -13, "target_ratio": 0.97, "target_value": -12.61 }
114
4700601e722e5f0a0c40acc2968ffc97
edge_cover
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]}
{"states": [49, 21], "expectation_value": -2.23595991014814, "params": null, "bitstrings": ["001110", "101010"], "total_optimization_steps": 25, "probabilities": [0.10409742217291358, 0.8722896787888064], "optimization_time": 24.810773849487305}
0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) + -0.25 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.75 * Z(4) + 0.0 * Z(5)
1
6
1
{"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"], "largest_eigenvalue": 4.75}
OPENQASM 3.0; include "stdgates.inc"; qubit[6] q; h q[0]; ry(-0.6706529503752435) q[0]; h q[1]; ry(1.4146339409758935) q[1]; h q[2]; ry(-0.5581047246583587) q[2]; h q[3]; cx q[3], q[0]; ry(0.6706529503752435) q[0]; cx q[3], q[0]; ry(-0.44205081723318096) q[0]; ry(0.9054299760275487) q[3]; rz(-pi) q[4]; ry(-0.07258777177735061) q[4]; h q[5]; ry(0.973194262912994) q[5]; cx q[5], q[2]; ry(0.5581047246583587) q[2]; cx q[5], q[2]; ry(0.2870381851126282) q[5]; cx q[1], q[5]; ry(-0.2870381851126282) q[5]; cx q[1], q[5]; ry(0.13749436888134173) q[1]; cx q[5], q[1]; ry(-0.13749436888134173) q[1]; cx q[5], q[1]; cx q[1], q[3]; ry(-0.22093881401973917) q[3]; cx q[1], q[3]; cx q[1], q[0]; ry(0.2058279821335844) q[0]; cx q[1], q[0]; ry(0.2534635559894661) q[3]; cx q[5], q[3]; ry(-0.2534635559894661) q[3]; cx q[5], q[3]; ry(-0.09077669237813678) q[0]; cx q[5], q[0]; ry(0.09077669237813678) q[0]; cx q[5], q[0]; ry(0.01991622565660201) q[5]; cx q[3], q[5]; ry(-0.01991622565660201) q[5]; cx q[3], q[5]; ry(-0.03513238035721632) q[3]; cx q[0], q[3]; ry(0.03513238035721632) q[3]; cx q[0], q[3]; ry(-0.025933740156631142) q[0]; ry(-0.49545941497785667) q[2]; cx q[1], q[2]; ry(0.01013817292270678) q[2]; cx q[1], q[2]; cx q[1], q[4]; ry(-0.0270707376694925) q[4]; cx q[1], q[4]; ry(-0.05335422866666073) q[1]; cx q[3], q[1]; ry(0.05335422866666073) q[1]; cx q[3], q[1]; ry(-0.10992308324440639) q[2]; cx q[3], q[2]; ry(0.10992308324440639) q[2]; cx q[3], q[2]; cx q[2], q[0]; ry(0.025933740156631142) q[0]; cx q[2], q[0];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\ncry(-0.0171) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\ncry(-0.0171) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\ncry(-1.3016) q[3], q[0];\nry(1.2944) q[1];\nry(1.0339) q[5];\ncry(-0.9947) q[5], q[2];\nry(0.6605) q[3];\nry(-0.5012) q[2];\ncry(0.4275) q[1], q[5];\ncry(0.2526) q[5], q[1];\nry(-0.2509) q[0];\ncry(0.4187) q[1], q[3];\ncry(-0.341) q[1], q[0];\ncry(0.2672) q[5], q[3];\ncry(-0.1798) q[5], q[0];\ncry(-0.1159) q[1], q[2];\ncry(-0.0222) q[1], q[4];\ncry(0.0448) q[3], q[5];\ncry(-0.0505) q[0], q[3];\ncry(0.0192) q[3], q[1];\ncry(-0.0145) q[3], q[2];\ncry(-0.0171) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n"], "gradients": [0.7522, 0.3772, 0.3698, 0.2483, 0.2388, 0.2406, 0.2379, 0.2122, 0.1293, 0.1137, 0.1899, 0.172, 0.1327, 0.0934, 0.0616, 0.0374, 0.021, 0.0114, 0.0088, 0.0075, 0.0059, 0.0044, 0.0036, 0.003, 0.0029]}
[ "IIIIZZ", "IIIZIZ", "IIIZZI", "IIIZZZ", "IIZIIZ", "IZIIZI", "ZIIIZI", "ZZIIII", "ZZIIZI", "IIZZII", "ZIIZII", "ZIZIII", "ZIZZII", "IIIIIZ", "IIIIZI", "IIIZII", "IIZIII", "IZIIII", "ZIIIII" ]
[ 0.25, 0.25, 0.25, -0.25, 0.5, 0.25, 0.25, 0.25, -0.25, 0.25, 0.25, 0.25, -0.25, -0.25, 0, 0, -0.25, -0.75, 0 ]
0.991225
[ -1.6704548362417395, -1.341305900750487, 1.4146339409758935, 0.973194262912994, -1.1162094493167174, 0.6844911620078096, -0.48532124205514987, 0.5740763702252564, 0.27498873776268346, -0.23622283509959657, 0.44187762803947833, -0.4116559642671688, 0.5069271119789323, -0.18155338475627356, ...
{ "n_parameters": 21, "n_qubits": 6, "optimal_eigenvalue": -2.25, "target_ratio": 0.97, "target_value": -2.1825 }
1
bd0739923e95a9ca3accc4a9b16c8fc7
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7}, {"source": 5, "target": 6}, {"source": 6, "target": 7}, {"source": 8, "target": 9}]}
{"states": [0, 483], "expectation_value": -10.729617628361082, "params": [-0.2828, 0.7995, 0.8319000000000001, 0.0061, 1.0111, 0.4748, -0.4172, 0.0081, 1.0133, 0.6778000000000001, -0.3274, 0.0029000000000000002, 1.0206, 1.0449, -0.1305, 0.0011, 0.0018000000000000002, 0.6494, 0.0014, 0.0073, -0.0049, 2.1873, -0.0046, 0.0089, 0.0025, 1.6135000000000002, 0.0023, 0.0092, 1.1273, 1.1608, -0.1246, 0.0014, 0.4748, 1.3892, 0.2015, 0.0028, -1.5735000000000001, 0.9880000000000001, 0.8727, 0.7501, 0.0012000000000000001, -0.0045000000000000005, 0.0024000000000000002, 0.6671, 0.7609], "bitstrings": ["111111111", "000011100"], "total_optimization_steps": 380, "probabilities": [0.26369837443776123, 0.3742664046122635], "optimization_time": 31.04642653465271}
-2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.5 * Z(5) + 1.5 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7)
6
9
1
{"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["000011100"], "largest_eigenvalue": 17.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; rx(-0.578958240271976) q[0]; rz(1.4091944533822023) q[0]; rx(2.958753543089515) q[1]; rz(1.5124251265531905) q[1]; rx(-3.1135628774201245) q[2]; rz(1.0207587939004377) q[2]; rx(-3.0451535180715688) q[3]; rz(2.3936165218233203) q[3]; rx(0.10103229368564845) q[4]; rz(0.9493395083639458) q[4]; rx(-0.14167865231256735) q[5]; rz(-2.2802909488708476) q[5]; rx(0.10349187637110221) q[6]; rz(2.2049895158772967) q[6]; rx(0.8757996661778884) q[7]; rz(1.817906460824819) q[7]; rx(-0.058371200241705896) q[8]; rz(1.6537057830938036) q[8]; cx q[8], q[7]; ry(-0.379259236943258) q[7]; cx q[8], q[7]; cx q[8], q[6]; ry(0.379259236943258) q[7]; rz(-pi/2) q[7]; ry(0.03765366386418062) q[6]; cx q[8], q[6]; cx q[8], q[5]; ry(-0.02947378556393144) q[5]; cx q[8], q[5]; cx q[8], q[4]; ry(0.02092188731213093) q[4]; cx q[8], q[4]; cx q[8], q[3]; ry(-0.0462045144080208) q[3]; cx q[8], q[3]; cx q[8], q[2]; ry(-0.09422510300153271) q[2]; cx q[8], q[2]; cx q[8], q[1]; ry(-0.023874801016635756) q[1]; cx q[8], q[1]; cx q[8], q[0]; ry(0.023874801016635756) q[1]; ry(0.5020751904331848) q[0]; cx q[8], q[0]; ry(-0.5020751904331847) q[0]; rz(pi/2) q[8]; cx q[7], q[8]; ry(-0.3183178687713387) q[8]; cx q[7], q[8]; ry(0.09422510300153271) q[2]; ry(0.046204514408020786) q[3]; ry(-0.02092188731213093) q[4]; ry(0.029473785563931442) q[5]; ry(-0.03765366386418062) q[6]; cx q[7], q[6]; ry(0.03765366386418062) q[6]; cx q[7], q[6]; cx q[7], q[5]; ry(-0.03765366386418062) q[6]; rz(-pi/2) q[6]; ry(-0.02947378556393144) q[5]; cx q[7], q[5]; cx q[7], q[4]; ry(0.02092188731213093) q[4]; cx q[7], q[4]; cx q[7], q[3]; ry(-0.0462045144080208) q[3]; cx q[7], q[3]; cx q[7], q[2]; ry(-0.09422510300153271) q[2]; cx q[7], q[2]; cx q[7], q[1]; ry(-0.023874801016635756) q[1]; cx q[7], q[1]; cx q[7], q[0]; ry(0.023874801016635756) q[1]; ry(0.5020751904331848) q[0]; cx q[7], q[0]; ry(-0.5020751904331847) q[0]; rz(pi/2) q[7]; ry(0.09422510300153271) q[2]; ry(0.046204514408020786) q[3]; ry(-0.02092188731213093) q[4]; ry(0.029473785563931442) q[5]; ry(0.3183178687713387) q[8]; cx q[6], q[8]; ry(-0.3183178687713387) q[8]; cx q[6], q[8]; cx q[6], q[7]; ry(-0.379259236943258) q[7]; cx q[6], q[7]; cx q[6], q[5]; ry(-0.02947378556393144) q[5]; cx q[6], q[5]; cx q[6], q[4]; ry(0.02947378556393144) q[5]; rz(-pi/2) q[5]; ry(0.02092188731213093) q[4]; cx q[6], q[4]; cx q[6], q[3]; ry(-0.0462045144080208) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(-0.09422510300153271) q[2]; cx q[6], q[2]; cx q[6], q[1]; ry(-0.023874801016635756) q[1]; cx q[6], q[1]; cx q[6], q[0]; ry(0.023874801016635756) q[1]; ry(0.5020751904331848) q[0]; cx q[6], q[0]; ry(-0.5020751904331847) q[0]; rz(pi/2) q[6]; ry(0.09422510300153271) q[2]; ry(0.046204514408020786) q[3]; ry(-0.02092188731213093) q[4]; ry(0.3792592369432581) q[7]; ry(0.3183178687713387) q[8]; cx q[5], q[8]; ry(-0.3183178687713387) q[8]; cx q[5], q[8]; cx q[5], q[7]; ry(-0.379259236943258) q[7]; cx q[5], q[7]; cx q[5], q[6]; ry(0.03765366386418062) q[6]; cx q[5], q[6]; cx q[5], q[4]; ry(0.02092188731213093) q[4]; cx q[5], q[4]; cx q[5], q[3]; ry(-0.02092188731213093) q[4]; rz(-pi/2) q[4]; ry(-0.0462045144080208) q[3]; cx q[5], q[3]; cx q[5], q[2]; ry(-0.09422510300153271) q[2]; cx q[5], q[2]; cx q[5], q[1]; ry(-0.023874801016635756) q[1]; cx q[5], q[1]; cx q[5], q[0]; ry(0.023874801016635756) q[1]; ry(0.5020751904331848) q[0]; cx q[5], q[0]; ry(-0.5020751904331847) q[0]; rz(pi/2) q[5]; ry(0.09422510300153271) q[2]; ry(0.046204514408020786) q[3]; ry(-0.03765366386418062) q[6]; ry(0.3792592369432581) q[7]; ry(0.3183178687713387) q[8]; cx q[4], q[8]; ry(-0.3183178687713387) q[8]; cx q[4], q[8]; cx q[4], q[7]; ry(-0.379259236943258) q[7]; cx q[4], q[7]; cx q[4], q[6]; ry(0.03765366386418062) q[6]; cx q[4], q[6]; cx q[4], q[5]; ry(-0.02947378556393144) q[5]; cx q[4], q[5]; cx q[4], q[3]; ry(-0.0462045144080208) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(0.0462045144080208) q[3]; rz(-pi/2) q[3]; ry(-0.09422510300153271) q[2]; cx q[4], q[2]; cx q[4], q[1]; ry(-0.023874801016635756) q[1]; cx q[4], q[1]; cx q[4], q[0]; ry(0.023874801016635756) q[1]; ry(0.5020751904331848) q[0]; cx q[4], q[0]; ry(-0.5020751904331847) q[0]; rz(pi/2) q[4]; ry(0.09422510300153271) q[2]; ry(0.029473785563931442) q[5]; ry(-0.03765366386418062) q[6]; ry(0.3792592369432581) q[7]; ry(0.3183178687713387) q[8]; cx q[3], q[8]; ry(-0.3183178687713387) q[8]; cx q[3], q[8]; cx q[3], q[7]; ry(-0.379259236943258) q[7]; cx q[3], q[7]; cx q[3], q[6]; ry(0.03765366386418062) q[6]; cx q[3], q[6]; cx q[3], q[5]; ry(-0.02947378556393144) q[5]; cx q[3], q[5]; cx q[3], q[4]; ry(0.02092188731213093) q[4]; cx q[3], q[4]; cx q[3], q[2]; ry(-0.09422510300153271) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(0.09422510300153271) q[2]; rz(-pi/2) q[2]; ry(-0.023874801016635756) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(0.023874801016635756) q[1]; ry(0.5020751904331848) q[0]; cx q[3], q[0]; ry(-0.5020751904331847) q[0]; rz(pi/2) q[3]; ry(-0.02092188731213093) q[4]; ry(0.029473785563931442) q[5]; ry(-0.03765366386418062) q[6]; ry(0.3792592369432581) q[7]; ry(0.3183178687713387) q[8]; cx q[2], q[8]; ry(-0.3183178687713387) q[8]; cx q[2], q[8]; cx q[2], q[7]; ry(-0.379259236943258) q[7]; cx q[2], q[7]; cx q[2], q[6]; ry(0.03765366386418062) q[6]; cx q[2], q[6]; cx q[2], q[5]; ry(-0.02947378556393144) q[5]; cx q[2], q[5]; cx q[2], q[4]; ry(0.02092188731213093) q[4]; cx q[2], q[4]; cx q[2], q[3]; ry(-0.0462045144080208) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(-0.023874801016635756) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(0.023874801016635756) q[1]; rz(-pi/2) q[1]; ry(0.5020751904331848) q[0]; cx q[2], q[0]; ry(-0.5020751904331847) q[0]; rz(pi/2) q[2]; ry(0.046204514408020786) q[3]; ry(-0.02092188731213093) q[4]; ry(0.029473785563931442) q[5]; ry(-0.03765366386418062) q[6]; ry(0.3792592369432581) q[7]; ry(0.3183178687713387) q[8]; cx q[1], q[8]; ry(-0.3183178687713387) q[8]; cx q[1], q[8]; cx q[1], q[7]; ry(-0.379259236943258) q[7]; cx q[1], q[7]; cx q[1], q[6]; ry(0.03765366386418062) q[6]; cx q[1], q[6]; cx q[1], q[5]; ry(-0.02947378556393144) q[5]; cx q[1], q[5]; cx q[1], q[4]; ry(0.02092188731213093) q[4]; cx q[1], q[4]; cx q[1], q[3]; ry(-0.0462045144080208) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(-0.09422510300153271) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(0.5020751904331848) q[0]; cx q[1], q[0]; ry(-0.5020751904331848) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(0.09422510300153271) q[2]; ry(0.046204514408020786) q[3]; ry(-0.02092188731213093) q[4]; ry(0.029473785563931442) q[5]; ry(-0.03765366386418062) q[6]; ry(0.3792592369432581) q[7]; ry(0.3183178687713387) q[8]; cx q[0], q[8]; ry(-0.3183178687713387) q[8]; cx q[0], q[8]; cx q[0], q[7]; ry(-0.379259236943258) q[7]; cx q[0], q[7]; cx q[0], q[6]; ry(0.03765366386418062) q[6]; cx q[0], q[6]; cx q[0], q[5]; ry(-0.02947378556393144) q[5]; cx q[0], q[5]; cx q[0], q[4]; ry(0.02092188731213093) q[4]; cx q[0], q[4]; cx q[0], q[3]; ry(-0.0462045144080208) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(-0.09422510300153271) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(-0.023874801016635756) q[1]; cx q[0], q[1]; rx(0.7782238012142185) q[0]; rz(-0.14723630637515434) q[0]; ry(-0.028744480080029295) q[1]; rz(-0.6174454761533674) q[1]; ry(-0.5786209817609939) q[2]; rz(-2.525252139273853) q[2]; ry(-0.3428878251768561) q[3]; rz(-1.1325875132708951) q[3]; ry(-0.071958467939216) q[4]; rz(-0.9576049989326183) q[4]; ry(-0.3884006530688823) q[5]; rz(-0.6395428488697377) q[5]; ry(0.07841812861431595) q[6]; rz(-2.0798281219885792) q[6]; ry(0.14930126180774422) q[7]; rz(-1.6218329074219815) q[7]; ry(0.9998695049406064) q[8]; rz(-0.9676152288699069) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x3) q[8]; rz(x16) q[8]; crx(x17) q[8], q[7]; crx(x18) q[8], q[6]; crx(x19) q[8], q[5]; crx(x20) q[8], q[4]; crx(x21) q[8], q[3]; crx(x22) q[8], q[2]; crx(x23) q[8], q[1]; crx(x24) q[8], q[0]; crx(x25) q[7], q[8]; crx(x18) q[7], q[6]; crx(x19) q[7], q[5]; crx(x20) q[7], q[4]; crx(x21) q[7], q[3]; crx(x22) q[7], q[2]; crx(x23) q[7], q[1]; crx(x24) q[7], q[0]; crx(x25) q[6], q[8]; crx(x17) q[6], q[7]; crx(x19) q[6], q[5]; crx(x20) q[6], q[4]; crx(x21) q[6], q[3]; crx(x22) q[6], q[2]; crx(x23) q[6], q[1]; crx(x24) q[6], q[0]; crx(x25) q[5], q[8]; crx(x17) q[5], q[7]; crx(x18) q[5], q[6]; crx(x20) q[5], q[4]; crx(x21) q[5], q[3]; crx(x22) q[5], q[2]; crx(x23) q[5], q[1]; crx(x24) q[5], q[0]; crx(x25) q[4], q[8]; crx(x17) q[4], q[7]; crx(x18) q[4], q[6]; crx(x19) q[4], q[5]; crx(x21) q[4], q[3]; crx(x22) q[4], q[2]; crx(x23) q[4], q[1]; crx(x24) q[4], q[0]; crx(x25) q[3], q[8]; crx(x17) q[3], q[7]; crx(x18) q[3], q[6]; crx(x19) q[3], q[5]; crx(x20) q[3], q[4]; crx(x22) q[3], q[2]; crx(x23) q[3], q[1]; crx(x24) q[3], q[0]; crx(x25) q[2], q[8]; crx(x17) q[2], q[7]; crx(x18) q[2], q[6]; crx(x19) q[2], q[5]; crx(x20) q[2], q[4]; crx(x21) q[2], q[3]; crx(x23) q[2], q[1]; crx(x24) q[2], q[0]; crx(x25) q[1], q[8]; crx(x17) q[1], q[7]; crx(x18) q[1], q[6]; crx(x19) q[1], q[5]; crx(x20) q[1], q[4]; crx(x21) q[1], q[3]; crx(x22) q[1], q[2]; crx(x24) q[1], q[0]; crx(x25) q[0], q[8]; crx(x17) q[0], q[7]; crx(x18) q[0], q[6]; crx(x19) q[0], q[5]; crx(x20) q[0], q[4]; crx(x21) q[0], q[3]; crx(x22) q[0], q[2]; crx(x23) q[0], q[1]; rx(x26) q[0]; rz(x27) q[0]; rx(x28) q[1]; rz(x29) q[1]; rx(x30) q[2]; rz(x31) q[2]; rx(x32) q[3]; rz(x33) q[3]; rx(x34) q[4]; rz(x35) q[4]; rx(x36) q[5]; rz(x37) q[5]; rx(x38) q[6]; rz(x39) q[6]; rx(x40) q[7]; rz(x34) q[7]; rx(x41) q[8]; rz(x42) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"node": 6}
{"circuits": [], "gradients": []}
[ "IIIIIIZIZ", "IIIIIIZZI", "IIIIIIIZZ", "IIIIIZZII", "IIIIIZIIZ", "IIIIIZIZI", "IIIZZIIII", "IIZZIIIII", "IIZIZIIII", "ZZIIIIIII", "IIIIIIZII", "IIIIIIIIZ", "IIIIIIIZI", "IIIIIZIII", "IIIZIIIII", "IIIIZIIII", "IIZIIIIII", "ZIIIIIIII", "IZIIIIIII" ]
[ -2, -2, 0.5, -2, 0.5, -1.5, -2, 1, -2, -1, 0.5, 0.5, 0.5, 0.5, -1.5, 1.5, -1.5, 0.5, 0.5 ]
0.970889
[ -0.578958240271976, -0.16160187341269555, 2.958753543089515, -0.058371200241705896, 3.169622429759462, -0.5500375328944582, 3.238031789108018, 0.8228201950284242, 0.10103229368564848, -0.6214568184309508, -0.14167865231256738, 2.4320980315138416, 0.1034918763711022, 0.6341931890824, 0.87...
{ "n_parameters": 43, "n_qubits": 9, "optimal_eigenvalue": -15, "target_ratio": 0.97, "target_value": -14.549999999999999 }
126
1d579e37a468bd880bcb1092848cc668
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1}, {"capacity": 4, "source": 4, "target": 2}, {"capacity": 4, "source": 5, "target": 3}]}
{"states": [53, 39], "expectation_value": -5.123520434733628, "params": null, "bitstrings": ["1001010", "1011000"], "total_optimization_steps": 28, "probabilities": [0.10938285524458996, 0.1093833937372856], "optimization_time": 18.330240726470947}
-0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5)
1
7
3
{"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1111110", "1011010", "1111100", "1011000", "1111010", "1001010", "1111000", "1101000", "1001000", "1101010", "1100000"], "largest_eigenvalue": 9.75}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; ry(-0.6941259116557518) q[0]; h q[1]; h q[2]; h q[3]; ry(-0.7530958440334765) q[3]; h q[4]; ry(1.6275648338062378) q[4]; cx q[4], q[3]; ry(0.7530958440334765) q[3]; cx q[4], q[3]; h q[5]; h q[6]; cx q[6], q[0]; ry(0.6941259116557518) q[0]; cx q[6], q[0]; ry(-0.3425011861485324) q[0]; cx q[4], q[0]; ry(0.3425011861485324) q[0]; cx q[4], q[0]; ry(-0.26110171650238834) q[0]; cx q[5], q[0]; ry(0.056519104188655196) q[0]; cx q[5], q[0]; ry(-0.018722982617003954) q[0]; ry(1.2592527713108892) q[6]; cx q[4], q[6]; ry(-0.215458709641742) q[6]; cx q[4], q[6]; ry(0.017788931745100045) q[6]; cx q[1], q[6]; ry(-0.017788931745100045) q[6]; cx q[1], q[6]; cx q[1], q[0]; ry(0.018722982617003954) q[0]; cx q[1], q[0]; ry(0.1121284332964415) q[6]; cx q[5], q[6]; ry(-0.1121284332964415) q[6]; cx q[5], q[6]; ry(-0.044117529830263166) q[6]; cx q[2], q[6]; ry(0.044117529830263166) q[6]; cx q[2], q[6]; ry(0.03680069236771508) q[0]; cx q[2], q[0]; ry(-0.03680069236771508) q[0]; cx q[2], q[0];
null
{"source": 0, "sink": 6}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\ncry(-1.5708) q[4], q[3];\ncry(-1.4449) q[6], q[0];\nry(1.0628) q[6];\ncry(-0.5677) q[4], q[0];\ncry(0.3571) q[4], q[6];\nry(-0.2002) q[0];\ncry(0.1182) q[1], q[6];\ncry(-0.0296) q[5], q[0];\ncry(0.0384) q[5], q[6];\ncry(-0.0419) q[1], q[0];\ncry(0.0235) q[2], q[6];\ncry(-0.0252) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n"], "gradients": [2.007, 1.991, 0.5007, 0.6812, 0.4758, 0.3186, 0.1882, 0.0771, 0.0162, 0.0184, 0.0157, 0.0111, 0.0133, 0.008, 0.008, 0.006, 0.006, 0.006, 0.0053, 0.0053, 0.0052, 0.0045, 0.0037, 0.0035, 0.0035, 0.0035, 0.0035, 0.0027]}
[ "IIIIIZZ", "ZIIIIZI", "ZIIIIIZ", "IIIZZII", "IIZIIZI", "IIZIZII", "IZIZIII", "IIIIIZI", "IIIIIIZ", "ZIIIIII", "IIIZIII", "IIIIZII", "IIZIIII", "IZIIIII" ]
[ -0.5, -0.5, 0.75, -1, -1, -1, -1, -1, -0.25, 0.25, -2, 0, 2, 1 ]
0.975008
[ 1.6275648338062378, -1.506191688066953, -1.3882518233115035, 1.0437940616691472, -0.6850023722970648, 0.430917419283484, -0.20458261231373315, 0.03557786349020009, -0.11303820837731039, 0.224256866592883, -0.03744596523400791, -0.08823505966052633, 0.07360138473543015 ]
{ "n_parameters": 13, "n_qubits": 7, "optimal_eigenvalue": -5.25, "target_ratio": 0.97, "target_value": -5.0925 }
1
9313084cc492e2aab2fbf1a94b6f25bf
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 3, "target": 5}, {"capacity": 2, "source": 3, "target": 7}, {"capacity": 2, "source": 4, "target": 1}, {"capacity": 2, "source": 4, "target": 2}, {"capacity": 1, "source": 4, "target": 6}, {"capacity": 1, "source": 5, "target": 6}, {"capacity": 1, "source": 6, "target": 2}]}
{"states": [127, 95], "expectation_value": -0.1557742943111478, "params": [[-0.0568, 0.0604], [0.0745, -0.0245]], "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 10, "probabilities": [0.0044598968752590645, 0.004466641061631437], "optimization_time": 3.2125816345214844}
-0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.75 * Z(6) + 0.5 * Z(1) + 0.0 * Z(7) + 0.0 * Z(5) + 1.25 * Z(4)
1
8
2
{"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10100000", "10100010", "10110110", "10100110"], "largest_eigenvalue": 6.75}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; ry(-0.5044872271921961) q[0]; h q[1]; ry(0.7817244421400541) q[1]; h q[2]; ry(-0.6384678543212984) q[2]; h q[3]; ry(0.38704973127573605) q[3]; h q[4]; ry(1.56196623503395) q[4]; cx q[4], q[1]; ry(-0.7817244421400541) q[1]; cx q[4], q[1]; cx q[1], q[2]; ry(0.6384678543212984) q[2]; cx q[1], q[2]; ry(-0.1411578342216521) q[2]; h q[5]; ry(-0.03593087035766558) q[6]; rz(-pi) q[6]; h q[7]; cx q[7], q[0]; ry(0.5044872271921961) q[0]; cx q[7], q[0]; ry(-0.3741758638967508) q[0]; cx q[4], q[0]; ry(0.3741758638967508) q[0]; cx q[4], q[0]; cx q[4], q[3]; ry(-0.38704973127573605) q[3]; cx q[4], q[3]; ry(0.12402806804798483) q[0]; ry(0.5107849771464563) q[3]; ry(1.5564245690403427) q[7]; cx q[1], q[7]; ry(-0.20366956648161008) q[7]; cx q[1], q[7]; cx q[1], q[0]; ry(-0.12402806804798483) q[0]; cx q[1], q[0]; ry(-0.43442533825255786) q[0]; cx q[1], q[6]; ry(0.39106320554795104) q[6]; cx q[1], q[6]; ry(-0.02025761633895882) q[7]; cx q[4], q[7]; ry(0.02025761633895882) q[7]; cx q[4], q[7]; cx q[4], q[2]; ry(-0.0363747491560759) q[7]; cx q[3], q[7]; ry(0.0363747491560759) q[7]; cx q[3], q[7]; ry(0.1411578342216521) q[2]; cx q[4], q[2]; ry(-0.016257691403025343) q[6]; cx q[4], q[6]; ry(0.016257691403025343) q[6]; cx q[4], q[6]; ry(0.07302416240272563) q[3]; cx q[5], q[3]; ry(-0.07302416240272563) q[3]; cx q[5], q[3]; cx q[3], q[0]; ry(0.15210966980925367) q[0]; cx q[3], q[0]; ry(0.12872005184925545) q[6]; cx q[3], q[6]; ry(-0.12872005184925545) q[6]; cx q[3], q[6]; ry(0.04168226328644315) q[3]; cx q[1], q[3]; ry(-0.04168226328644315) q[3]; cx q[1], q[3]; ry(0.001470929844014999) q[4]; cx q[3], q[4]; ry(-0.001470929844014999) q[4]; cx q[3], q[4]; ry(-0.04080976117546324) q[2]; cx q[3], q[2]; ry(0.04080976117546324) q[2]; cx q[3], q[2]; ry(-0.07393616070006) q[7]; cx q[5], q[7]; ry(0.07393616070006) q[7]; cx q[5], q[7]; ry(0.0390367090390732) q[0]; cx q[5], q[0]; ry(-0.0390367090390732) q[0]; cx q[5], q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x1) q[3]; cx q[0], q[3]; cx q[2], q[6]; rz(x0) q[6]; cx q[2], q[6]; cx q[6], q[1]; rz(x1) q[1]; cx q[6], q[1]; cx q[0], q[7]; rz(x2) q[7]; cx q[0], q[7]; cx q[3], q[7]; rz(x1) q[7]; cx q[3], q[7]; cx q[1], q[7]; rz(x1) q[7]; cx q[1], q[7]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[6], q[5]; rz(x0) q[5]; cx q[6], q[5]; cx q[2], q[4]; rz(x1) q[4]; cx q[2], q[4]; cx q[6], q[4]; rz(x0) q[4]; cx q[6], q[4]; cx q[1], q[4]; rz(x1) q[4]; cx q[1], q[4]; rz(x3) q[2]; rz(x0) q[0]; rz(x4) q[3]; rz(x5) q[6]; rz(x6) q[1]; rz(x7) q[7]; rz(x7) q[5]; rz(x8) q[4]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; h q[6]; rz(x9) q[6]; h q[6]; h q[7]; rz(x9) q[7]; h q[7]; cx q[2], q[0]; rz(x10) q[0]; cx q[2], q[0]; cx q[0], q[3]; rz(x11) q[3]; cx q[0], q[3]; cx q[2], q[6]; rz(x10) q[6]; cx q[2], q[6]; cx q[6], q[1]; rz(x11) q[1]; cx q[6], q[1]; cx q[0], q[7]; rz(x12) q[7]; cx q[0], q[7]; cx q[3], q[7]; rz(x11) q[7]; cx q[3], q[7]; cx q[1], q[7]; rz(x11) q[7]; cx q[1], q[7]; cx q[3], q[5]; rz(x10) q[5]; cx q[3], q[5]; cx q[6], q[5]; rz(x10) q[5]; cx q[6], q[5]; cx q[2], q[4]; rz(x11) q[4]; cx q[2], q[4]; cx q[6], q[4]; rz(x10) q[4]; cx q[6], q[4]; cx q[1], q[4]; rz(x11) q[4]; cx q[1], q[4]; rz(x13) q[2]; rz(x10) q[0]; rz(x14) q[3]; rz(x15) q[6]; rz(x16) q[1]; rz(x7) q[7]; rz(x7) q[5]; rz(x17) q[4]; h q[0]; rz(x18) q[0]; h q[0]; h q[1]; rz(x18) q[1]; h q[1]; h q[2]; rz(x18) q[2]; h q[2]; h q[3]; rz(x18) q[3]; h q[3]; h q[4]; rz(x18) q[4]; h q[4]; h q[5]; rz(x18) q[5]; h q[5]; h q[6]; rz(x18) q[6]; h q[6]; h q[7]; rz(x18) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"source": 0, "sink": 7}
{"circuits": [], "gradients": []}
[ "IIIIIZIZ", "IIIIZIIZ", "IZIIIZII", "IZIIIIZI", "ZIIIIIIZ", "ZIIIZIII", "ZIIIIIZI", "IIZIZIII", "IZZIIIII", "IIIZIZII", "IZIZIIII", "IIIZIIZI", "IIIIIZII", "IIIIIIIZ", "IIIIZIII", "IZIIIIII", "IIIIIIZI", "ZIIIIIII", "IIZIIIII", "IIIZIIII" ]
[ -0.25, -0.5, -0.25, -0.5, 1, -0.5, -0.5, -0.25, -0.25, -0.5, -0.25, -0.5, -1, -0.25, 0.25, -0.75, 0.5, 0, 0, 1.25 ]
0.974103
[ 1.56196623503395, 1.5634488842801082, -1.0089744543843921, 1.3527550025587325, -1.2769357086425968, -0.7483517277935016, 0.40733913296322016, 0.7740994625514721, -1.14380225088928, 0.24805613609596966, -0.04051523267791764, -0.7821264110959021, 0.5107849771464563, -0.2823156684433042, -0...
{ "n_parameters": 24, "n_qubits": 8, "optimal_eigenvalue": -5.25, "target_ratio": 0.97, "target_value": -5.0925 }
18
de837449b9b1ac221f958aa18f8b69de
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]}
{"states": [97, 103], "expectation_value": -6.0225274508961375, "params": [-0.08750000000000001, 0.9768, 0.41390000000000005, 0.9807, -0.036500000000000005, 0.9098, 0.5894, 0.9367000000000001, 0.0067, 0.4199, -0.0211, 0.7534000000000001, 0.002, 0.442, 0.0073, 0.5621, -0.7454000000000001, 0.8189000000000001, 0.2169, 1.1765, -0.9637, 0.7112, -0.7567, 0.39990000000000003, -0.0349, -0.23450000000000001, 0.0884, 0.7106, 0.5805, 0.8917, 0.9439000000000001, -0.45380000000000004, 0.5167, 0.809, 1.0217, -0.3914, 0.0103, 0.8706, 0.0123, 0.7787000000000001, -0.034300000000000004, 0.8184, 0.11850000000000001, 0.2504, -0.2099, 0.8462000000000001, 0.5439, 0.29050000000000004, -0.6428, 0.7338, 0.2661, 0.9367000000000001, 0.0555, 0.6273000000000001, 0.4405, 0.3395, 0.9293, -0.454, -0.1096, 0.0064, 0.9883000000000001, -0.7387, -0.5113, 0.0086, -0.0213, 0.4767, 0.0061, 0.0002, -0.0666, 0.3276, -0.0056, 0.0015, 0.5147, 0.2248, -0.6031000000000001, 0.0097, 0.7265, 0.7134, -0.1466, 0.0054, 0.1877, 0.5063, -0.768, 0.0045000000000000005, -0.26030000000000003, -0.1834, 0.0055000000000000005, 0.019200000000000002, 0.7824, 0.9336000000000001, 0.81, -0.14750000000000002, -0.041100000000000005, -0.0102, -0.002, -0.5253, -0.083, -0.6472, 0.5282, 0.7121000000000001, 0.0037, 0.0016, -0.8162, -0.2589, -0.3372], "bitstrings": ["0011110", "0011000"], "total_optimization_steps": 200, "probabilities": [0.09943614302773328, 0.6221396011327616], "optimization_time": 44.887317419052124}
-1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6)
6
7
3
{"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"], "largest_eigenvalue": 7.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; rx(-0.20454636169947982) q[0]; rz(2.8152219299414583) q[0]; rx(-0.44697682268564387) q[1]; rz(2.448194288614724) q[1]; rx(-0.06482965352697878) q[2]; rz(1.789633067939329) q[2]; rx(0.07456323353414633) q[3]; rz(2.240230974956189) q[3]; rx(0.08529955402258597) q[4]; rz(2.6572687592230864) q[4]; rx(-1.0194116337343637) q[5]; rz(2.481824366321346) q[5]; rx(-0.32884727213360154) q[6]; rz(-0.07699536738536353) q[6]; cx q[6], q[5]; ry(-0.5093872312982924) q[5]; cx q[6], q[5]; cx q[6], q[4]; ry(0.5093872312982924) q[5]; rz(-pi/2) q[5]; ry(0.15108016178564215) q[4]; cx q[6], q[4]; cx q[6], q[3]; ry(0.01883678893431852) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(0.03322612482277341) q[2]; cx q[6], q[2]; cx q[6], q[1]; ry(-0.011943495361110413) q[1]; cx q[6], q[1]; cx q[6], q[0]; ry(0.01194349536111041) q[1]; ry(0.1141945205852449) q[0]; cx q[6], q[0]; ry(-0.11419452058524492) q[0]; rz(pi/2) q[6]; cx q[5], q[6]; ry(0.1313505103635189) q[6]; cx q[5], q[6]; ry(-0.03322612482277341) q[2]; ry(-0.018836788934318522) q[3]; ry(-0.15108016178564215) q[4]; cx q[5], q[4]; ry(0.15108016178564215) q[4]; cx q[5], q[4]; cx q[5], q[3]; ry(-0.15108016178564215) q[4]; rz(-pi/2) q[4]; ry(0.01883678893431852) q[3]; cx q[5], q[3]; cx q[5], q[2]; ry(0.03322612482277341) q[2]; cx q[5], q[2]; cx q[5], q[1]; ry(-0.011943495361110413) q[1]; cx q[5], q[1]; cx q[5], q[0]; ry(0.01194349536111041) q[1]; ry(0.1141945205852449) q[0]; cx q[5], q[0]; ry(-0.11419452058524492) q[0]; rz(pi/2) q[5]; ry(-0.03322612482277341) q[2]; ry(-0.018836788934318522) q[3]; ry(-0.13135051036351889) q[6]; cx q[4], q[6]; ry(0.1313505103635189) q[6]; cx q[4], q[6]; cx q[4], q[5]; ry(-0.5093872312982924) q[5]; cx q[4], q[5]; cx q[4], q[3]; ry(0.01883678893431852) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(-0.01883678893431852) q[3]; rz(-pi/2) q[3]; ry(0.03322612482277341) q[2]; cx q[4], q[2]; cx q[4], q[1]; ry(-0.011943495361110413) q[1]; cx q[4], q[1]; cx q[4], q[0]; ry(0.01194349536111041) q[1]; ry(0.1141945205852449) q[0]; cx q[4], q[0]; ry(-0.11419452058524492) q[0]; rz(pi/2) q[4]; ry(-0.03322612482277341) q[2]; ry(0.5093872312982924) q[5]; ry(-0.13135051036351889) q[6]; cx q[3], q[6]; ry(0.1313505103635189) q[6]; cx q[3], q[6]; cx q[3], q[5]; ry(-0.5093872312982924) q[5]; cx q[3], q[5]; cx q[3], q[4]; ry(0.15108016178564215) q[4]; cx q[3], q[4]; cx q[3], q[2]; ry(0.03322612482277341) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(-0.03322612482277341) q[2]; rz(-pi/2) q[2]; ry(-0.011943495361110413) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(0.01194349536111041) q[1]; ry(0.1141945205852449) q[0]; cx q[3], q[0]; ry(-0.11419452058524492) q[0]; rz(pi/2) q[3]; ry(-0.15108016178564215) q[4]; ry(0.5093872312982924) q[5]; ry(-0.13135051036351889) q[6]; cx q[2], q[6]; ry(0.1313505103635189) q[6]; cx q[2], q[6]; cx q[2], q[5]; ry(-0.5093872312982924) q[5]; cx q[2], q[5]; cx q[2], q[4]; ry(0.15108016178564215) q[4]; cx q[2], q[4]; cx q[2], q[3]; ry(0.01883678893431852) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(-0.011943495361110413) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(0.011943495361110413) q[1]; rz(-pi/2) q[1]; ry(0.1141945205852449) q[0]; cx q[2], q[0]; ry(-0.11419452058524492) q[0]; rz(pi/2) q[2]; ry(-0.018836788934318522) q[3]; ry(-0.15108016178564215) q[4]; ry(0.5093872312982924) q[5]; ry(-0.13135051036351889) q[6]; cx q[1], q[6]; ry(0.1313505103635189) q[6]; cx q[1], q[6]; cx q[1], q[5]; ry(-0.5093872312982924) q[5]; cx q[1], q[5]; cx q[1], q[4]; ry(0.15108016178564215) q[4]; cx q[1], q[4]; cx q[1], q[3]; ry(0.01883678893431852) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(0.03322612482277341) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(0.1141945205852449) q[0]; cx q[1], q[0]; ry(-0.1141945205852449) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(-0.03322612482277341) q[2]; ry(-0.018836788934318522) q[3]; ry(-0.15108016178564215) q[4]; ry(0.5093872312982924) q[5]; ry(-0.13135051036351889) q[6]; cx q[0], q[6]; ry(0.1313505103635189) q[6]; cx q[0], q[6]; cx q[0], q[5]; ry(-0.5093872312982924) q[5]; cx q[0], q[5]; cx q[0], q[4]; ry(0.15108016178564215) q[4]; cx q[0], q[4]; cx q[0], q[3]; ry(0.01883678893431852) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(0.03322612482277341) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(-0.011943495361110413) q[1]; cx q[0], q[1]; rz(1.961443067956183) q[0]; ry(0.4526247966916324) q[0]; rz(2.0965357737142405) q[0]; rz(1.106321300316952) q[1]; ry(0.7103163862627376) q[1]; rz(1.7203413616472307) q[1]; rz(0.2238146145295854) q[2]; ry(0.22162239623657565) q[2]; rz(0.7028032751593187) q[2]; rz(0.6533533721828357) q[3]; ry(0.04484953101895348) q[3]; rz(0.7076589340431085) q[3]; rz(-2.1985047866268066) q[4]; ry(0.6497878388240702) q[4]; rz(-2.3903618250079113) q[4]; rz(-3.055066591477762) q[5]; ry(0.9781260395100985) q[5]; rz(-2.1474649628621503) q[5]; rz(-2.443953726180437) q[6]; ry(0.058461740045558354) q[6]; rz(1.533927985152837) q[6]; cx q[6], q[5]; ry(-0.21682976684486938) q[5]; cx q[6], q[5]; cx q[6], q[4]; ry(0.21682976684486938) q[5]; rz(-pi/2) q[5]; ry(0.03508506996354663) q[4]; cx q[6], q[4]; cx q[6], q[3]; ry(0.0003506298990673673) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(0.07479629906342214) q[2]; cx q[6], q[2]; cx q[6], q[1]; ry(0.0349045199227209) q[1]; cx q[6], q[1]; cx q[6], q[0]; ry(0.0023950158371659385) q[0]; cx q[6], q[0]; ry(-0.0023950158371659385) q[0]; rz(pi/2) q[6]; cx q[5], q[6]; ry(-0.06823042294820189) q[6]; cx q[5], q[6]; ry(-0.034904519922720895) q[1]; ry(-0.07479629906342215) q[2]; ry(-0.0003506298990673673) q[3]; ry(-0.03508506996354663) q[4]; cx q[5], q[4]; ry(0.03508506996354663) q[4]; cx q[5], q[4]; cx q[5], q[3]; ry(-0.03508506996354663) q[4]; rz(-pi/2) q[4]; ry(0.0003506298990673673) q[3]; cx q[5], q[3]; cx q[5], q[2]; ry(0.07479629906342214) q[2]; cx q[5], q[2]; cx q[5], q[1]; ry(0.0349045199227209) q[1]; cx q[5], q[1]; cx q[5], q[0]; ry(0.0023950158371659385) q[0]; cx q[5], q[0]; ry(-0.0023950158371659385) q[0]; rz(pi/2) q[5]; ry(-0.034904519922720895) q[1]; ry(-0.07479629906342215) q[2]; ry(-0.0003506298990673673) q[3]; ry(0.06823042294820189) q[6]; cx q[4], q[6]; ry(-0.06823042294820189) q[6]; cx q[4], q[6]; cx q[4], q[5]; ry(-0.21682976684486938) q[5]; cx q[4], q[5]; cx q[4], q[3]; ry(0.0003506298990673673) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(-0.0003506298990673673) q[3]; rz(-pi/2) q[3]; ry(0.07479629906342214) q[2]; cx q[4], q[2]; cx q[4], q[1]; ry(0.0349045199227209) q[1]; cx q[4], q[1]; cx q[4], q[0]; ry(0.0023950158371659385) q[0]; cx q[4], q[0]; ry(-0.0023950158371659385) q[0]; rz(pi/2) q[4]; ry(-0.034904519922720895) q[1]; ry(-0.07479629906342215) q[2]; ry(0.21682976684486938) q[5]; ry(0.06823042294820189) q[6]; cx q[3], q[6]; ry(-0.06823042294820189) q[6]; cx q[3], q[6]; cx q[3], q[5]; ry(-0.21682976684486938) q[5]; cx q[3], q[5]; cx q[3], q[4]; ry(0.03508506996354663) q[4]; cx q[3], q[4]; cx q[3], q[2]; ry(0.07479629906342214) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(-0.07479629906342214) q[2]; rz(-pi/2) q[2]; ry(0.0349045199227209) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(0.0023950158371659385) q[0]; cx q[3], q[0]; ry(-0.0023950158371659385) q[0]; rz(pi/2) q[3]; ry(-0.034904519922720895) q[1]; ry(-0.03508506996354663) q[4]; ry(0.21682976684486938) q[5]; ry(0.06823042294820189) q[6]; cx q[2], q[6]; ry(-0.06823042294820189) q[6]; cx q[2], q[6]; cx q[2], q[5]; ry(-0.21682976684486938) q[5]; cx q[2], q[5]; cx q[2], q[4]; ry(0.03508506996354663) q[4]; cx q[2], q[4]; cx q[2], q[3]; ry(0.0003506298990673673) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(0.0349045199227209) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(-0.0349045199227209) q[1]; rz(-pi/2) q[1]; ry(0.0023950158371659385) q[0]; cx q[2], q[0]; ry(-0.0023950158371659385) q[0]; rz(pi/2) q[2]; ry(-0.0003506298990673673) q[3]; ry(-0.03508506996354663) q[4]; ry(0.21682976684486938) q[5]; ry(0.06823042294820189) q[6]; cx q[1], q[6]; ry(-0.06823042294820189) q[6]; cx q[1], q[6]; cx q[1], q[5]; ry(-0.21682976684486938) q[5]; cx q[1], q[5]; cx q[1], q[4]; ry(0.03508506996354663) q[4]; cx q[1], q[4]; cx q[1], q[3]; ry(0.0003506298990673673) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(0.07479629906342214) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(0.0023950158371659385) q[0]; cx q[1], q[0]; ry(-0.0023950158371659385) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(-0.07479629906342215) q[2]; ry(-0.0003506298990673673) q[3]; ry(-0.03508506996354663) q[4]; ry(0.21682976684486938) q[5]; ry(0.06823042294820189) q[6]; cx q[0], q[6]; ry(-0.06823042294820189) q[6]; cx q[0], q[6]; cx q[0], q[5]; ry(-0.21682976684486938) q[5]; cx q[0], q[5]; cx q[0], q[4]; ry(0.03508506996354663) q[4]; cx q[0], q[4]; cx q[0], q[3]; ry(0.0003506298990673673) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(0.07479629906342214) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(0.0349045199227209) q[1]; cx q[0], q[1]; rz(1.0101913639776967) q[0]; ry(2.3862776212850614) q[0]; rz(-0.7407923536334491) q[0]; rz(-0.7537330793828918) q[1]; ry(2.280345013236907) q[1]; rz(-1.4647226167600935) q[1]; rz(-0.03647044448380887) q[2]; ry(0.12138502568765609) q[2]; rz(1.2490562149792943) q[2]; rz(3.0129464403515325) q[3]; ry(0.23733794629725258) q[3]; rz(-2.4334331641172304) q[3]; rz(0.09904490949449585) q[4]; ry(1.2695130310589053) q[4]; rz(0.7546905808185809) q[4]; rz(0.9497370638774516) q[5]; ry(1.205660324399974) q[5]; rz(1.54327443954379) q[5]; rz(-0.2751101356078052) q[6]; ry(0.19509333718280214) q[6]; rz(-0.1790528692502562) q[6]; cx q[6], q[5]; ry(0.08882785676409187) q[5]; cx q[6], q[5]; cx q[6], q[4]; ry(-0.08882785676409187) q[5]; rz(-pi/2) q[5]; ry(0.6402173536799335) q[4]; cx q[6], q[4]; cx q[6], q[3]; ry(-0.028676759856375876) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(0.024233417985893235) q[2]; cx q[6], q[2]; cx q[6], q[1]; ry(-0.26395129658167427) q[1]; cx q[6], q[1]; cx q[6], q[0]; ry(-0.17061221152981745) q[0]; cx q[6], q[0]; ry(0.17061221152981743) q[0]; rz(pi/2) q[6]; cx q[5], q[6]; ry(0.31487566773396636) q[6]; cx q[5], q[6]; ry(0.2639512965816742) q[1]; ry(-0.024233417985893232) q[2]; ry(0.028676759856375876) q[3]; ry(-0.6402173536799335) q[4]; cx q[5], q[4]; ry(0.6402173536799335) q[4]; cx q[5], q[4]; cx q[5], q[3]; ry(-0.6402173536799335) q[4]; rz(-pi/2) q[4]; ry(-0.028676759856375876) q[3]; cx q[5], q[3]; cx q[5], q[2]; ry(0.024233417985893235) q[2]; cx q[5], q[2]; cx q[5], q[1]; ry(-0.26395129658167427) q[1]; cx q[5], q[1]; cx q[5], q[0]; ry(-0.17061221152981745) q[0]; cx q[5], q[0]; ry(0.17061221152981743) q[0]; rz(pi/2) q[5]; ry(0.2639512965816742) q[1]; ry(-0.024233417985893232) q[2]; ry(0.028676759856375876) q[3]; ry(-0.3148756677339664) q[6]; cx q[4], q[6]; ry(0.31487566773396636) q[6]; cx q[4], q[6]; cx q[4], q[5]; ry(0.08882785676409187) q[5]; cx q[4], q[5]; cx q[4], q[3]; ry(-0.028676759856375876) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(0.028676759856375876) q[3]; rz(-pi/2) q[3]; ry(0.024233417985893235) q[2]; cx q[4], q[2]; cx q[4], q[1]; ry(-0.26395129658167427) q[1]; cx q[4], q[1]; cx q[4], q[0]; ry(-0.17061221152981745) q[0]; cx q[4], q[0]; ry(0.17061221152981743) q[0]; rz(pi/2) q[4]; ry(0.2639512965816742) q[1]; ry(-0.024233417985893232) q[2]; ry(-0.08882785676409187) q[5]; ry(-0.3148756677339664) q[6]; cx q[3], q[6]; ry(0.31487566773396636) q[6]; cx q[3], q[6]; cx q[3], q[5]; ry(0.08882785676409187) q[5]; cx q[3], q[5]; cx q[3], q[4]; ry(0.6402173536799335) q[4]; cx q[3], q[4]; cx q[3], q[2]; ry(0.024233417985893235) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(-0.024233417985893235) q[2]; rz(-pi/2) q[2]; ry(-0.26395129658167427) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(-0.17061221152981745) q[0]; cx q[3], q[0]; ry(0.17061221152981743) q[0]; rz(pi/2) q[3]; ry(0.2639512965816742) q[1]; ry(-0.6402173536799335) q[4]; ry(-0.08882785676409187) q[5]; ry(-0.3148756677339664) q[6]; cx q[2], q[6]; ry(0.31487566773396636) q[6]; cx q[2], q[6]; cx q[2], q[5]; ry(0.08882785676409187) q[5]; cx q[2], q[5]; cx q[2], q[4]; ry(0.6402173536799335) q[4]; cx q[2], q[4]; cx q[2], q[3]; ry(-0.028676759856375876) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(-0.26395129658167427) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(0.26395129658167427) q[1]; rz(-pi/2) q[1]; ry(-0.17061221152981745) q[0]; cx q[2], q[0]; ry(0.17061221152981743) q[0]; rz(pi/2) q[2]; ry(0.028676759856375876) q[3]; ry(-0.6402173536799335) q[4]; ry(-0.08882785676409187) q[5]; ry(-0.3148756677339664) q[6]; cx q[1], q[6]; ry(0.31487566773396636) q[6]; cx q[1], q[6]; cx q[1], q[5]; ry(0.08882785676409187) q[5]; cx q[1], q[5]; cx q[1], q[4]; ry(0.6402173536799335) q[4]; cx q[1], q[4]; cx q[1], q[3]; ry(-0.028676759856375876) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(0.024233417985893235) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(-0.17061221152981745) q[0]; cx q[1], q[0]; ry(0.17061221152981745) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(-0.024233417985893232) q[2]; ry(0.028676759856375876) q[3]; ry(-0.6402173536799335) q[4]; ry(-0.08882785676409187) q[5]; ry(-0.3148756677339664) q[6]; cx q[0], q[6]; ry(0.31487566773396636) q[6]; cx q[0], q[6]; cx q[0], q[5]; ry(0.08882785676409187) q[5]; cx q[0], q[5]; cx q[0], q[4]; ry(0.6402173536799335) q[4]; cx q[0], q[4]; cx q[0], q[3]; ry(-0.028676759856375876) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(0.024233417985893235) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(-0.26395129658167427) q[1]; cx q[0], q[1]; rx(0.0027399366885131893) q[0]; rz(0.08514394340044905) q[0]; ry(-0.12663939738890106) q[1]; rz(-1.4520111600019519) q[1]; ry(0.24111588138409246) q[2]; rz(-1.6535142171097719) q[2]; ry(0.06396152035322981) q[3]; rz(-1.6606320398251673) q[3]; ry(-0.8615677020136934) q[4]; rz(-1.5343718229204004) q[4]; ry(0.35146765325208185) q[5]; rz(-1.5387666382404404) q[5]; ry(-1.7266204329653987) q[6]; rz(-1.2805653128267043) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[7] c; qubit[7] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; crx(x14) q[6], q[5]; crx(x15) q[6], q[4]; crx(x16) q[6], q[3]; crx(x17) q[6], q[2]; crx(x18) q[6], q[1]; crx(x19) q[6], q[0]; crx(x20) q[5], q[6]; crx(x15) q[5], q[4]; crx(x16) q[5], q[3]; crx(x17) q[5], q[2]; crx(x18) q[5], q[1]; crx(x19) q[5], q[0]; crx(x20) q[4], q[6]; crx(x14) q[4], q[5]; crx(x16) q[4], q[3]; crx(x17) q[4], q[2]; crx(x18) q[4], q[1]; crx(x19) q[4], q[0]; crx(x20) q[3], q[6]; crx(x14) q[3], q[5]; crx(x15) q[3], q[4]; crx(x17) q[3], q[2]; crx(x18) q[3], q[1]; crx(x19) q[3], q[0]; crx(x20) q[2], q[6]; crx(x14) q[2], q[5]; crx(x15) q[2], q[4]; crx(x16) q[2], q[3]; crx(x18) q[2], q[1]; crx(x19) q[2], q[0]; crx(x20) q[1], q[6]; crx(x14) q[1], q[5]; crx(x15) q[1], q[4]; crx(x16) q[1], q[3]; crx(x17) q[1], q[2]; crx(x19) q[1], q[0]; crx(x20) q[0], q[6]; crx(x14) q[0], q[5]; crx(x15) q[0], q[4]; crx(x16) q[0], q[3]; crx(x17) q[0], q[2]; crx(x18) q[0], q[1]; rx(x21) q[0]; rz(x22) q[0]; rx(x23) q[1]; rz(x24) q[1]; rx(x25) q[2]; rz(x26) q[2]; rx(x27) q[3]; rz(x28) q[3]; rx(x29) q[4]; rz(x30) q[4]; rx(x31) q[5]; rz(x32) q[5]; rx(x33) q[6]; rz(x34) q[6]; rx(x35) q[0]; rz(x36) q[0]; rx(x37) q[1]; rz(x38) q[1]; rx(x39) q[2]; rz(x40) q[2]; rx(x41) q[3]; rz(x42) q[3]; rx(x43) q[4]; rz(x44) q[4]; rx(x45) q[5]; rz(x46) q[5]; rx(x47) q[6]; rz(x48) q[6]; crx(x49) q[6], q[5]; crx(x50) q[6], q[4]; crx(x51) q[6], q[3]; crx(x52) q[6], q[2]; crx(x53) q[6], q[1]; crx(x54) q[6], q[0]; crx(x55) q[5], q[6]; crx(x50) q[5], q[4]; crx(x51) q[5], q[3]; crx(x52) q[5], q[2]; crx(x53) q[5], q[1]; crx(x54) q[5], q[0]; crx(x55) q[4], q[6]; crx(x49) q[4], q[5]; crx(x51) q[4], q[3]; crx(x52) q[4], q[2]; crx(x53) q[4], q[1]; crx(x54) q[4], q[0]; crx(x55) q[3], q[6]; crx(x49) q[3], q[5]; crx(x50) q[3], q[4]; crx(x52) q[3], q[2]; crx(x53) q[3], q[1]; crx(x54) q[3], q[0]; crx(x55) q[2], q[6]; crx(x49) q[2], q[5]; crx(x50) q[2], q[4]; crx(x51) q[2], q[3]; crx(x53) q[2], q[1]; crx(x54) q[2], q[0]; crx(x55) q[1], q[6]; crx(x49) q[1], q[5]; crx(x50) q[1], q[4]; crx(x51) q[1], q[3]; crx(x52) q[1], q[2]; crx(x54) q[1], q[0]; crx(x55) q[0], q[6]; crx(x49) q[0], q[5]; crx(x50) q[0], q[4]; crx(x51) q[0], q[3]; crx(x52) q[0], q[2]; crx(x53) q[0], q[1]; rx(x56) q[0]; rz(x57) q[0]; rx(x58) q[1]; rz(x59) q[1]; rx(x60) q[2]; rz(x61) q[2]; rx(x62) q[3]; rz(x63) q[3]; rx(x64) q[4]; rz(x65) q[4]; rx(x66) q[5]; rz(x24) q[5]; rx(x67) q[6]; rz(x68) q[6]; rx(x69) q[0]; rz(x70) q[0]; rx(x71) q[1]; rz(x72) q[1]; rx(x73) q[2]; rz(x74) q[2]; rx(x75) q[3]; rz(x76) q[3]; rx(x77) q[4]; rz(x78) q[4]; rx(x79) q[5]; rz(x80) q[5]; rx(x81) q[6]; rz(x82) q[6]; crx(x83) q[6], q[5]; crx(x84) q[6], q[4]; crx(x85) q[6], q[3]; crx(x86) q[6], q[2]; crx(x87) q[6], q[1]; crx(x88) q[6], q[0]; crx(x89) q[5], q[6]; crx(x84) q[5], q[4]; crx(x85) q[5], q[3]; crx(x86) q[5], q[2]; crx(x87) q[5], q[1]; crx(x88) q[5], q[0]; crx(x89) q[4], q[6]; crx(x83) q[4], q[5]; crx(x85) q[4], q[3]; crx(x86) q[4], q[2]; crx(x87) q[4], q[1]; crx(x88) q[4], q[0]; crx(x89) q[3], q[6]; crx(x83) q[3], q[5]; crx(x84) q[3], q[4]; crx(x86) q[3], q[2]; crx(x87) q[3], q[1]; crx(x88) q[3], q[0]; crx(x89) q[2], q[6]; crx(x83) q[2], q[5]; crx(x84) q[2], q[4]; crx(x85) q[2], q[3]; crx(x87) q[2], q[1]; crx(x88) q[2], q[0]; crx(x89) q[1], q[6]; crx(x83) q[1], q[5]; crx(x84) q[1], q[4]; crx(x85) q[1], q[3]; crx(x86) q[1], q[2]; crx(x88) q[1], q[0]; crx(x89) q[0], q[6]; crx(x83) q[0], q[5]; crx(x84) q[0], q[4]; crx(x85) q[0], q[3]; crx(x86) q[0], q[2]; crx(x87) q[0], q[1]; rx(x90) q[0]; rz(x91) q[0]; rx(x92) q[1]; rz(x93) q[1]; rx(x94) q[2]; rz(x95) q[2]; rx(x96) q[3]; rz(x97) q[3]; rx(x98) q[4]; rz(x99) q[4]; rx(x100) q[5]; rz(x101) q[5]; rx(x102) q[6]; rz(x103) q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"node": 3}
{"circuits": [], "gradients": []}
[ "IIIIIZZ", "IIIZZII", "IZZIIII", "ZZIIIII", "ZIZIIII", "IIIIIZI", "IIIIIIZ", "IIIZIII", "IIIIZII", "IZIIIII", "IIZIIII", "ZIIIIII" ]
[ -1, 0.5, -1.5, -1.5, 0.5, 0.5, 0.5, -1, -1, 0.5, 0.5, 0.5 ]
0.975716
[ -0.20454636169947982, 1.2444256031465615, -0.4469768226856438, 0.8773979618198277, -0.06482965352697877, 0.21883674114443263, 0.07456323353414634, 0.6694346481612925, 0.08529955402258599, 1.0864724324281896, -1.0194116337343637, 0.9110280395264493, -0.32884727213360154, -0.0769953673853635...
{ "n_parameters": 104, "n_qubits": 7, "optimal_eigenvalue": -7.5, "target_ratio": 0.97, "target_value": -7.2749999999999995 }
107
afc1e6ae0489b407103909fb8184f531
vertex_cover
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}]}
{"states": [72, 55], "expectation_value": -1.0121474723361938, "params": [[-0.0781, -0.07100000000000001, -0.0724], [0.0796, 0.0723, 0.0682]], "bitstrings": ["0110111", "1001000"], "total_optimization_steps": 10, "probabilities": [0.014873257744845228, 0.016279554852844484], "optimization_time": 3.763197898864746}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + -1.0 * Z(3)
1
7
3
{"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 8.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.038206618307315275) q[0]; cx q[1], q[0]; rz(-0.7362373108468026) q[1]; rx(1.0232489118228707) q[1]; h q[2]; cx q[0], q[2]; rz(-0.038206618307315275) q[2]; cx q[0], q[2]; h q[3]; cx q[2], q[3]; rz(-0.038206618307315275) q[3]; cx q[2], q[3]; rz(-0.2047029809531078) q[2]; rx(1.0232489118228705) q[2]; h q[4]; cx q[0], q[4]; rz(-0.038206618307315275) q[4]; cx q[0], q[4]; cx q[4], q[3]; rz(-0.038206618307315275) q[3]; cx q[4], q[3]; rz(-0.2047029809531078) q[4]; rx(1.0232489118228705) q[4]; h q[5]; cx q[0], q[5]; rz(-0.038206618307315275) q[5]; cx q[0], q[5]; cx q[5], q[3]; rz(-0.038206618307315275) q[3]; cx q[5], q[3]; rz(0.745958834784167) q[3]; rx(1.0232489118228705) q[3]; rz(-0.2047029809531078) q[5]; rx(1.0232489118228705) q[5]; h q[6]; cx q[0], q[6]; rz(-0.038206618307315275) q[6]; cx q[0], q[6]; rz(1.3466984830280744) q[0]; rx(1.0232489118228707) q[0]; cx q[1], q[0]; rz(0.03314743356154229) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.736237310846803) q[1]; rx(0.6848316305444411) q[1]; rz(0.03314743356154229) q[2]; cx q[0], q[2]; cx q[0], q[4]; cx q[2], q[3]; rz(0.03314743356154229) q[3]; cx q[2], q[3]; rz(-1.315429486290217) q[2]; rx(0.6848316305444411) q[2]; rz(0.03314743356154229) q[4]; cx q[0], q[4]; cx q[0], q[5]; cx q[4], q[3]; rz(0.03314743356154229) q[3]; cx q[4], q[3]; rz(-1.315429486290217) q[4]; rx(0.6848316305444411) q[4]; rz(0.03314743356154229) q[5]; cx q[0], q[5]; cx q[5], q[3]; rz(0.03314743356154229) q[3]; cx q[5], q[3]; rz(0.5768805783022088) q[3]; rx(0.6848316305444411) q[3]; rz(-1.315429486290217) q[5]; rx(0.6848316305444411) q[5]; rz(-0.7362373108468026) q[6]; rx(1.0232489118228707) q[6]; cx q[0], q[6]; rz(0.03314743356154229) q[6]; cx q[0], q[6]; rz(-0.004753878321068328) q[0]; rx(0.6848316305444411) q[0]; cx q[1], q[0]; rz(-0.1613007339731846) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.7362373108468026) q[1]; rx(0.3979430602858592) q[1]; rz(-0.1613007339731846) q[2]; cx q[0], q[2]; cx q[0], q[4]; cx q[2], q[3]; rz(-0.1613007339731846) q[3]; cx q[2], q[3]; rz(-0.09426819990905777) q[2]; rx(0.3979430602858592) q[2]; rz(-0.1613007339731846) q[4]; cx q[0], q[4]; cx q[0], q[5]; cx q[4], q[3]; rz(-0.1613007339731846) q[3]; cx q[4], q[3]; rz(-0.09426819990905777) q[4]; rx(0.3979430602858592) q[4]; rz(-0.1613007339731846) q[5]; cx q[0], q[5]; cx q[5], q[3]; rz(-0.1613007339731846) q[3]; cx q[5], q[3]; rz(0.7685216744879715) q[3]; rx(0.3979430602858592) q[3]; rz(-0.09426819990905777) q[5]; rx(0.3979430602858592) q[5]; rz(-0.736237310846803) q[6]; rx(0.6848316305444411) q[6]; cx q[0], q[6]; rz(-0.1613007339731846) q[6]; cx q[0], q[6]; rz(1.2439326691661323) q[0]; rx(0.3979430602858592) q[0]; rz(-0.7362373108468026) q[6]; rx(0.3979430602858592) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[0], q[6]; rz(x0) q[6]; cx q[0], q[6]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(x0) q[3]; cx q[5], q[3]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x3) q[4]; rz(x3) q[5]; rz(x1) q[6]; rz(x4) q[3]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; cx q[1], q[0]; rz(x6) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x6) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(x6) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(x6) q[5]; cx q[0], q[5]; cx q[0], q[6]; rz(x6) q[6]; cx q[0], q[6]; cx q[2], q[3]; rz(x6) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x6) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(x6) q[3]; cx q[5], q[3]; rz(x1) q[1]; rz(x7) q[0]; rz(x8) q[2]; rz(x8) q[4]; rz(x8) q[5]; rz(x1) q[6]; rz(x9) q[3]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; cx q[1], q[0]; rz(x11) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x11) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(x11) q[4]; cx q[0], q[4]; cx q[0], q[5]; rz(x11) q[5]; cx q[0], q[5]; cx q[0], q[6]; rz(x11) q[6]; cx q[0], q[6]; cx q[2], q[3]; rz(x11) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x11) q[3]; cx q[4], q[3]; cx q[5], q[3]; rz(x11) q[3]; cx q[5], q[3]; rz(x1) q[1]; rz(x12) q[0]; rz(x13) q[2]; rz(x13) q[4]; rz(x13) q[5]; rz(x1) q[6]; rz(x14) q[3]; h q[0]; rz(x15) q[0]; h q[0]; h q[1]; rz(x15) q[1]; h q[1]; h q[2]; rz(x15) q[2]; h q[2]; h q[3]; rz(x15) q[3]; h q[3]; h q[4]; rz(x15) q[4]; h q[4]; h q[5]; rz(x15) q[5]; h q[5]; h q[6]; rz(x15) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
[ "IIIIIZZ", "IIIIZIZ", "IIZIIIZ", "IZIIIIZ", "ZIIIIIZ", "IIIZZII", "IIZZIII", "IZIZIII", "IIIIIZI", "IIIIIIZ", "IIIIZII", "IIZIIII", "IZIIIII", "ZIIIIII", "IIIZIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0, -2, -0.5, -0.5, -0.5, 0, -1 ]
0.976376
[ -0.038206618307315275, -0.7362373108468029, 1.3466984830280748, -0.20470298095310765, 0.745958834784167, 1.0232489118228707, 0.03314743356154229, -0.004753878321068591, -1.315429486290217, 0.5768805783022085, 0.684831630544441, -0.1613007339731846, 1.2439326691661319, -0.09426819990905794,...
{ "n_parameters": 16, "n_qubits": 7, "optimal_eigenvalue": -5.5, "target_ratio": 0.97, "target_value": -5.335 }
25
e1d3015ff7ffc7e0806533be361ff7b0
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}], "edges": [{"weight": 8, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 12}, {"weight": 10, "source": 1, "target": 6}, {"weight": 14, "source": 1, "target": 12}, {"weight": 6, "source": 2, "target": 7}, {"weight": 11, "source": 2, "target": 11}, {"weight": 5, "source": 3, "target": 8}, {"weight": 19, "source": 3, "target": 7}, {"weight": 10, "source": 4, "target": 9}, {"weight": 12, "source": 4, "target": 8}]}
{"states": [680, 682], "expectation_value": -28.556652786357137, "params": [[[0.3971, 0.19010000000000002], [0.0118, 0.2316], [0.402, 0.2215], [0.3251, 0.3301], [0.40230000000000005, 0.1237], [0.39690000000000003, 0.33], [0.3986, 0.37870000000000004], [0.2994, 0.40130000000000005], [0.39590000000000003, 0.40180000000000005], [0.39730000000000004, 0.3779]], [[0.40540000000000004, 0.33030000000000004], [0.0031000000000000003, 0.19640000000000002], [0.3987, 0.229], [0.3415, 0.35860000000000003], [0.4026, 0.1398], [0.39180000000000004, 0.38620000000000004], [0.4, 0.399], [0.3543, 0.39690000000000003], [0.3907, 0.3965], [0.3951, 0.1325]], [[0.2459, 0.35810000000000003], [-0.0021000000000000003, 0.2592], [0.4002, 0.4017], [0.3135, 0.4052], [0.4, 0.12100000000000001], [0.3739, 0.39880000000000004], [0.3905, 0.4066], [0.339, 0.39830000000000004], [0.4005, 0.3214], [0.4017, 0.40840000000000004]], [[0.28900000000000003, 0.3947], [0.2258, 0.3902], [0.3961, 0.39440000000000003], [0.1825, 0.40590000000000004], [0.1908, 0.2238], [0.3054, 0.3955], [0.38480000000000003, 0.3907], [0.3408, 0.3987], [0.2089, 0.19790000000000002], [0.3935, 0.2152]]], "bitstrings": ["0101010111", "0101010101"], "total_optimization_steps": 40, "probabilities": [0.04635256506482924, 0.055122066719527726], "optimization_time": 49.026071548461914}
7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + -3.0 * Z(1) + 7.5 * Z(0) + 7.0 * Z(2) + -2.0 * Z(3) + 3.0 * Z(5) + -1.5 * Z(4) + 9.5 * Z(6) + 2.5 * Z(7) + 6.0 * Z(8) + -2.0 * Z(9)
15
10
4
{"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["0101010101"], "largest_eigenvalue": 83.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; ry(0.37369789756816846) q[0]; ry(-0.4196299528242966) q[1]; ry(0.3195227115556309) q[2]; ry(0.06374016770266071) q[3]; ry(1.139910339330132) q[4]; ry(0.1900562598782933) q[5]; ry(0.9953851319103446) q[6]; ry(0.028461209343796735) q[7]; ry(0.5746508865260505) q[8]; ry(0.36369087194559635) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.03871941871361007) q[0]; ry(-0.04621707211951647) q[1]; ry(0.013224411973177454) q[2]; ry(0.08387304774788579) q[3]; ry(-0.3104385988823845) q[4]; ry(-0.12432883674582856) q[5]; ry(0.5038898171648449) q[6]; ry(0.6809327597315146) q[7]; ry(1.1669233662204788) q[8]; ry(0.27050580244908246) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; ry(1.121565607311895) q[0]; cx q[1], q[2]; ry(0.19356318566079828) q[1]; cx q[2], q[3]; ry(1.0831681018189823) q[2]; cx q[3], q[4]; ry(0.20219536335973187) q[3]; cx q[4], q[5]; ry(0.06552895132651806) q[4]; cx q[5], q[6]; ry(-0.07912988767246087) q[5]; cx q[6], q[7]; ry(1.0002283168650594) q[6]; cx q[7], q[8]; ry(0.4941066445395551) q[7]; ry(0.593067203006565) q[8]; ry(0.2939263507044243) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.21266250279334084) q[0]; ry(0.2638908522727895) q[1]; ry(0.11448782637166895) q[2]; ry(0.09962220146815629) q[3]; ry(-0.02082242526768789) q[4]; ry(-0.014852813777524475) q[5]; ry(0.15019079307958838) q[6]; ry(0.1900562598782933) q[7]; ry(0.3608134046897917) q[8]; ry(-0.3635934564906767) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; ry(0.04746878496806391) q[0]; cx q[1], q[2]; ry(0.021830053953960663) q[1]; cx q[2], q[3]; ry(1.1479404760594814) q[2]; cx q[3], q[4]; ry(-0.07008854418865983) q[3]; cx q[4], q[5]; ry(1.0002283168650594) q[4]; cx q[5], q[6]; ry(0.25563764750033013) q[5]; cx q[6], q[7]; ry(-0.04363193369398012) q[6]; cx q[7], q[8]; ry(0.5049949378114684) q[7]; ry(0.45978242730691776) q[8]; ry(0.01238519327753183) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.013193156888321761) q[0]; ry(0.002686233954344669) q[1]; ry(0.01238519327753183) q[2]; ry(0.033569715318635215) q[3]; ry(0.3358605716710416) q[4]; ry(-0.012949154922001101) q[5]; ry(0.08268635635679467) q[6]; ry(0.26898140635467555) q[7]; ry(0.5493682851840468) q[8]; ry(1.3630562325128062) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; ry(-0.35555565037106135) q[0]; cx q[1], q[2]; ry(0.16786336127906276) q[1]; cx q[2], q[3]; ry(0.4273482828852452) q[2]; cx q[3], q[4]; ry(-0.28170930832820057) q[3]; cx q[4], q[5]; ry(0.937844640298141) q[4]; cx q[5], q[6]; ry(-0.09261305826390111) q[5]; cx q[6], q[7]; ry(0.3216232299573556) q[6]; cx q[7], q[8]; ry(0.16607630819239838) q[7]; ry(-0.13213833064184285) q[8]; ry(0.20410660982447518) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(0.14028240952679144) q[0]; ry(-0.0301398622659576) q[1]; ry(-0.003869678702687746) q[2]; ry(0.00299916673236268) q[3]; ry(-0.2103794758850242) q[4]; ry(0.13990506194260222) q[5]; ry(0.593067203006565) q[6]; ry(1.0831681018189823) q[7]; ry(-1.029539336828733) q[8]; ry(1.2407228826035697) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x10) q[0]; ry(x11) q[1]; ry(x12) q[2]; ry(x13) q[3]; ry(x14) q[4]; ry(x15) q[5]; ry(x16) q[6]; ry(x17) q[7]; ry(x18) q[8]; ry(x19) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x20) q[0]; ry(x21) q[1]; ry(x22) q[2]; ry(x23) q[3]; ry(x24) q[4]; ry(x25) q[5]; ry(x26) q[6]; ry(x27) q[7]; ry(x28) q[8]; ry(x29) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x30) q[0]; ry(x31) q[1]; ry(x32) q[2]; ry(x33) q[3]; ry(x34) q[4]; ry(x35) q[5]; ry(x36) q[6]; ry(x5) q[7]; ry(x37) q[8]; ry(x38) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x39) q[0]; ry(x40) q[1]; ry(x41) q[2]; ry(x42) q[3]; ry(x26) q[4]; ry(x43) q[5]; ry(x44) q[6]; ry(x45) q[7]; ry(x46) q[8]; ry(x47) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x48) q[0]; ry(x49) q[1]; ry(x47) q[2]; ry(x50) q[3]; ry(x51) q[4]; ry(x52) q[5]; ry(x53) q[6]; ry(x54) q[7]; ry(x55) q[8]; ry(x56) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x57) q[0]; ry(x58) q[1]; ry(x59) q[2]; ry(x60) q[3]; ry(x61) q[4]; ry(x62) q[5]; ry(x63) q[6]; ry(x64) q[7]; ry(x65) q[8]; ry(x66) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x67) q[0]; ry(x68) q[1]; ry(x69) q[2]; ry(x70) q[3]; ry(x71) q[4]; ry(x72) q[5]; ry(x28) q[6]; ry(x22) q[7]; ry(x73) q[8]; ry(x74) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIIZZ", "IIIIIIIZIZ", "IIIIIIZZII", "IIIIZZIIII", "IIIZZIIIII", "IIZZIIIIII", "IZZIIIIIII", "ZZIIIIIIII", "IIIIIIIIZI", "IIIIIIIIIZ", "IIIIIIIZII", "IIIIIIZIII", "IIIIZIIIII", "IIIIIZIIII", "IIIZIIIIII", "IIZIIIIIII", "IZIIIIIIII", "ZIIIIIIIII" ]
[ 7, 7, 7, 7, 7, 7, 7, 7, -3, 7.5, 7, -2, 3, -1.5, 9.5, 2.5, 6, -2 ]
0.971558
[ 0.37369789756816846, -0.4196299528242966, 0.3195227115556309, 0.06374016770266071, 1.139910339330132, 0.1900562598782933, 0.9953851319103446, 0.028461209343796735, 0.5746508865260505, 0.36369087194559635, 0.03871941871361007, -0.04621707211951647, 0.013224411973177454, 0.08387304774788579,...
{ "n_parameters": 75, "n_qubits": 10, "optimal_eigenvalue": -72, "target_ratio": 0.97, "target_value": -69.84 }
105
e477f019bfd20e5c3ebfb6f9f834bdc7
connected_components
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 7}, {"source": 5, "target": 8}, {"source": 6, "target": 8}, {"source": 8, "target": 9}]}
{"states": [30, 31], "expectation_value": -0.6713934386103084, "params": [[-0.038400000000000004], [0.043500000000000004]], "bitstrings": ["111100001", "111100000"], "total_optimization_steps": 10, "probabilities": [0.002339143459707732, 0.0024118616348383685], "optimization_time": 2.782576322555542}
-2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + 1.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(8)
5
9
1
{"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 27.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; h q[0]; h q[1]; cx q[1], q[0]; rz(0.19797223445350373) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(0.2002553072915073) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.19797223445350373) q[2]; cx q[0], q[2]; h q[3]; cx q[1], q[3]; rz(0.19797223445350373) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(1.3295456803697459) q[1]; rx(1.2054630041657932) q[1]; rz(-0.01351954138625283) q[3]; cx q[0], q[3]; rz(1.5559118600726514) q[0]; rx(1.205463004165793) q[0]; cx q[2], q[3]; rz(0.19797223445350373) q[3]; cx q[2], q[3]; rz(1.3295456803697459) q[2]; rx(1.2054630041657932) q[2]; rz(0.2002553072915072) q[3]; rx(1.2054630041657928) q[3]; h q[4]; h q[5]; h q[6]; cx q[6], q[4]; rz(1.5559118600726514) q[4]; cx q[6], q[4]; h q[7]; cx q[6], q[7]; rz(0.42999996669539475) q[7]; cx q[6], q[7]; cx q[4], q[7]; rz(0.42999996669539486) q[6]; rx(1.205463004165793) q[6]; rz(0.19797223445350373) q[7]; cx q[4], q[7]; cx q[4], q[5]; rz(0.42999996669539475) q[5]; cx q[4], q[5]; cx q[7], q[5]; rz(1.3295456803697459) q[5]; cx q[7], q[5]; h q[8]; cx q[4], q[8]; rz(0.42999996669539475) q[8]; cx q[4], q[8]; rz(0.42999996669539486) q[4]; rx(1.205463004165793) q[4]; cx q[7], q[8]; rz(1.3295456803697459) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(0.42999996669539486) q[7]; rx(1.205463004165793) q[7]; rz(0.42999996669539475) q[8]; cx q[5], q[8]; rz(0.42999996669539486) q[5]; rx(1.205463004165793) q[5]; rz(0.42999996669539486) q[8]; rx(1.205463004165793) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x1) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x2) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[6], q[4]; rz(x3) q[4]; cx q[6], q[4]; cx q[6], q[7]; rz(x4) q[7]; cx q[6], q[7]; cx q[4], q[7]; rz(x0) q[7]; cx q[4], q[7]; cx q[4], q[5]; rz(x4) q[5]; cx q[4], q[5]; cx q[7], q[5]; rz(x5) q[5]; cx q[7], q[5]; cx q[4], q[8]; rz(x4) q[8]; cx q[4], q[8]; cx q[7], q[8]; rz(x5) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(x4) q[8]; cx q[5], q[8]; rz(x5) q[1]; rz(x3) q[0]; rz(x5) q[2]; rz(x1) q[3]; rz(x4) q[6]; rz(x4) q[4]; rz(x4) q[7]; rz(x4) q[5]; rz(x4) q[8]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; h q[7]; rz(x6) q[7]; h q[7]; h q[8]; rz(x6) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"node": 0}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIIZZI", "IIIIIIZIZ", "IIIIIZIZI", "IIIIIZIIZ", "IIIIIZZII", "IIZIZIIII", "IZZIIIIII", "IZIIZIIII", "IIIZZIIII", "IZIZIIIII", "ZIIIZIIII", "ZZIIIIIII", "ZIIZIIIII", "IIIIIIIZI", "IIIIIIIIZ", "IIIIIIZII", "IIIIIZIII", "IIZIIIIII", "IIIIZIIII", "IZIIIIIII", "...
[ -2.5, 1.5, -2.5, -2.5, 1, -2.5, -1.5, 0.5, -2.5, 0.5, -2, 0.5, -2, 0.5, -2, -1.5, -2, 1.5, 0.5, 0.5, 0.5, 0.5, 0.5 ]
0.577079
[ 0.19797223445350373, 0.2002553072915073, -0.01351954138625283, 1.5559118600726514, 0.42999996669539475, 1.3295456803697459, 1.205463004165793 ]
{ "n_parameters": 7, "n_qubits": 9, "optimal_eigenvalue": -20, "target_ratio": 0.97, "target_value": -19.4 }
205
2558005241020373619
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 10, 9, 6], [8, 2, 3], [0, 5, 7], [0, 9, 3, 7], [10, 5, 6, 7], [2, 4, 5], [0, 1, 4, 7], [0, 10, 6], [0, 9, 6], [8, 1, 3, 7], [0, 8, 3], [10, 3, 7], [9, 3, 6], [0, 2, 10], [0, 10, 7], [0, 8, 10], [1, 9, 7], [8, 9, 2, 5], [3, 6, 7], [1, 5], [8, 4, 7]]}
{"states": [1884, 1820], "expectation_value": -4.139429518759872, "params": [1.1972, 0.1569, 1.0513000000000001, 0.0092, 1.2003000000000001, 0.1653, 1.1927, 0.0074, 1.2036, 0.1685, 1.1952, 0.0026000000000000003, 0.911, -0.2509, 0.7111000000000001, 0.0063, 1.1904000000000001, -0.1577, 1.0543, 0.0061, 1.0119, 0.0417, 0.45730000000000004, 0.0049, 1.193, 0.1647, 1.1922000000000001, 0.004200000000000001, 1.2002000000000002, 0.17220000000000002, 1.1909, 0.0059, 1.2018, 0.18780000000000002, 1.1969, 0.0004, 1.1922000000000001, 0.2785, 1.1949, 0.0059, 1.2007, 0.2607, 1.1902000000000001, 0.0007, 0.19390000000000002, 0.1537, 0.1501, -0.2566, -0.23770000000000002, -0.3151, 0.14120000000000002, 0.138, 0.1259, 0.7646000000000001, 0.8928], "bitstrings": ["00010100011", "00011100011"], "total_optimization_steps": 120, "probabilities": [0.14612246793709388, 0.23939000389182602], "optimization_time": 33.99134421348572}
0.08333333333333333 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(9) @ Z(10)) + 0.25 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(10)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(10)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.25 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(6)) + 0.41666666666666663 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.6666666666666666 * (Z(0) @ Z(10)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(9)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.41666666666666663 * (Z(7) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(9)) + 0.25 * (Z(7) @ Z(6)) + 0.25 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(7)) + 1.0833333333333333 * Z(10) + 0.5416666666666665 * Z(1) + 0.8750000000000001 * Z(9) + 0.9166666666666665 * Z(6) + 0.9166666666666667 * Z(8) + 0.625 * Z(2) + 1.0833333333333337 * Z(3) + 1.4166666666666663 * Z(0) + 0.5833333333333337 * Z(5) + 1.5 * Z(7) + 0.45833333333333337 * Z(4)
6
11
1
{"smallest_eigenvalues": [-5.333333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.249999999999999, "smallest_bitstrings": ["00011100011"], "largest_eigenvalue": 20.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[11] q; rx(2.2606979476246005) q[0]; rz(1.548313490830358) q[0]; rx(1.9884941770914049) q[1]; rz(1.677407816717852) q[1]; rx(1.9956658433376053) q[2]; rz(1.5265101617115153) q[2]; rx(-0.06296885099420722) q[3]; rz(1.5634919629860953) q[3]; rx(0.7786866850601418) q[4]; rz(0.7177532494130161) q[4]; rx(0.7846460496923219) q[5]; rz(1.5302205391430306) q[5]; rx(1.7883566752866547) q[6]; rz(1.6177194339057488) q[6]; rx(2.023394554061456) q[7]; rz(1.6390824393175354) q[7]; rx(1.489848662422942) q[8]; rz(1.5950651276267438) q[8]; rx(1.2210345315805406) q[9]; rz(2.1065138197388737) q[9]; rx(2.29174972693455) q[10]; rz(-0.03238764317923594) q[10]; cx q[10], q[9]; ry(0.0998220045311615) q[9]; cx q[10], q[9]; cx q[10], q[8]; ry(-0.0998220045311615) q[9]; rz(-pi/2) q[9]; ry(-0.018859877743516155) q[8]; cx q[10], q[8]; cx q[10], q[7]; ry(0.0017859554630990388) q[7]; cx q[10], q[7]; cx q[10], q[6]; ry(-0.009757793372566414) q[6]; cx q[10], q[6]; cx q[10], q[5]; ry(0.013782019369856985) q[5]; cx q[10], q[5]; cx q[10], q[4]; ry(0.10761661438083084) q[4]; cx q[10], q[4]; cx q[10], q[3]; ry(-0.0032609612827619273) q[3]; cx q[10], q[3]; cx q[10], q[2]; ry(0.010840375099780659) q[2]; cx q[10], q[2]; cx q[10], q[1]; ry(0.022834777253343364) q[1]; cx q[10], q[1]; cx q[10], q[0]; ry(-0.022834777253343364) q[1]; ry(-0.023872223564306808) q[0]; cx q[10], q[0]; ry(0.023872223564306804) q[0]; rz(pi/2) q[10]; cx q[9], q[10]; ry(-0.12301559769009761) q[10]; cx q[9], q[10]; ry(0.1230155976900976) q[10]; ry(-0.01084037509978066) q[2]; ry(0.003260961282761927) q[3]; ry(-0.10761661438083084) q[4]; ry(-0.013782019369856985) q[5]; ry(0.009757793372566414) q[6]; ry(-0.0017859554630990388) q[7]; ry(0.018859877743516155) q[8]; cx q[9], q[8]; ry(-0.018859877743516155) q[8]; cx q[9], q[8]; cx q[9], q[7]; ry(0.018859877743516155) q[8]; rz(-pi/2) q[8]; cx q[8], q[10]; ry(-0.12301559769009761) q[10]; cx q[8], q[10]; ry(0.0017859554630990388) q[7]; cx q[9], q[7]; cx q[9], q[6]; ry(-0.009757793372566414) q[6]; cx q[9], q[6]; cx q[9], q[5]; ry(0.013782019369856985) q[5]; cx q[9], q[5]; cx q[9], q[4]; ry(0.10761661438083084) q[4]; cx q[9], q[4]; cx q[9], q[3]; ry(-0.0032609612827619273) q[3]; cx q[9], q[3]; cx q[9], q[2]; ry(0.010840375099780659) q[2]; cx q[9], q[2]; cx q[9], q[1]; ry(0.022834777253343364) q[1]; cx q[9], q[1]; cx q[9], q[0]; ry(-0.022834777253343364) q[1]; ry(-0.023872223564306808) q[0]; cx q[9], q[0]; ry(0.023872223564306804) q[0]; rz(pi/2) q[9]; cx q[8], q[9]; ry(0.0998220045311615) q[9]; cx q[8], q[9]; ry(0.1230155976900976) q[10]; ry(-0.01084037509978066) q[2]; ry(0.003260961282761927) q[3]; ry(-0.10761661438083084) q[4]; ry(-0.013782019369856985) q[5]; ry(0.009757793372566414) q[6]; ry(-0.0017859554630990388) q[7]; cx q[8], q[7]; ry(0.0017859554630990388) q[7]; cx q[8], q[7]; cx q[8], q[6]; ry(-0.0017859554630990388) q[7]; rz(-pi/2) q[7]; cx q[7], q[10]; ry(-0.12301559769009761) q[10]; cx q[7], q[10]; ry(-0.009757793372566414) q[6]; cx q[8], q[6]; cx q[8], q[5]; ry(0.013782019369856985) q[5]; cx q[8], q[5]; cx q[8], q[4]; ry(0.10761661438083084) q[4]; cx q[8], q[4]; cx q[8], q[3]; ry(-0.0032609612827619273) q[3]; cx q[8], q[3]; cx q[8], q[2]; ry(0.010840375099780659) q[2]; cx q[8], q[2]; cx q[8], q[1]; ry(0.022834777253343364) q[1]; cx q[8], q[1]; cx q[8], q[0]; ry(-0.022834777253343364) q[1]; ry(-0.023872223564306808) q[0]; cx q[8], q[0]; ry(0.023872223564306804) q[0]; rz(pi/2) q[8]; ry(0.1230155976900976) q[10]; ry(-0.01084037509978066) q[2]; ry(0.003260961282761927) q[3]; ry(-0.10761661438083084) q[4]; ry(-0.013782019369856985) q[5]; ry(0.009757793372566414) q[6]; ry(-0.0998220045311615) q[9]; cx q[7], q[9]; ry(0.0998220045311615) q[9]; cx q[7], q[9]; cx q[7], q[8]; ry(-0.018859877743516155) q[8]; cx q[7], q[8]; cx q[7], q[6]; ry(-0.009757793372566414) q[6]; cx q[7], q[6]; cx q[7], q[5]; ry(0.009757793372566414) q[6]; rz(-pi/2) q[6]; cx q[6], q[10]; ry(-0.12301559769009761) q[10]; cx q[6], q[10]; ry(0.013782019369856985) q[5]; cx q[7], q[5]; cx q[7], q[4]; ry(0.10761661438083084) q[4]; cx q[7], q[4]; cx q[7], q[3]; ry(-0.0032609612827619273) q[3]; cx q[7], q[3]; cx q[7], q[2]; ry(0.010840375099780659) q[2]; cx q[7], q[2]; cx q[7], q[1]; ry(0.022834777253343364) q[1]; cx q[7], q[1]; cx q[7], q[0]; ry(-0.022834777253343364) q[1]; ry(-0.023872223564306808) q[0]; cx q[7], q[0]; ry(0.023872223564306804) q[0]; rz(pi/2) q[7]; ry(0.1230155976900976) q[10]; ry(-0.01084037509978066) q[2]; ry(0.003260961282761927) q[3]; ry(-0.10761661438083084) q[4]; ry(-0.013782019369856985) q[5]; ry(0.018859877743516155) q[8]; ry(-0.0998220045311615) q[9]; cx q[6], q[9]; ry(0.0998220045311615) q[9]; cx q[6], q[9]; cx q[6], q[8]; ry(-0.018859877743516155) q[8]; cx q[6], q[8]; cx q[6], q[7]; ry(0.0017859554630990388) q[7]; cx q[6], q[7]; cx q[6], q[5]; ry(0.013782019369856985) q[5]; cx q[6], q[5]; cx q[6], q[4]; ry(-0.013782019369856985) q[5]; rz(-pi/2) q[5]; cx q[5], q[10]; ry(-0.12301559769009761) q[10]; cx q[5], q[10]; ry(0.10761661438083084) q[4]; cx q[6], q[4]; cx q[6], q[3]; ry(-0.0032609612827619273) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(0.010840375099780659) q[2]; cx q[6], q[2]; cx q[6], q[1]; ry(0.022834777253343364) q[1]; cx q[6], q[1]; cx q[6], q[0]; ry(-0.022834777253343364) q[1]; ry(-0.023872223564306808) q[0]; cx q[6], q[0]; ry(0.023872223564306804) q[0]; rz(pi/2) q[6]; ry(0.1230155976900976) q[10]; ry(-0.01084037509978066) q[2]; ry(0.003260961282761927) q[3]; ry(-0.10761661438083084) q[4]; ry(-0.0017859554630990388) q[7]; ry(0.018859877743516155) q[8]; ry(-0.0998220045311615) q[9]; cx q[5], q[9]; ry(0.0998220045311615) q[9]; cx q[5], q[9]; cx q[5], q[8]; ry(-0.018859877743516155) q[8]; cx q[5], q[8]; cx q[5], q[7]; ry(0.0017859554630990388) q[7]; cx q[5], q[7]; cx q[5], q[6]; ry(-0.009757793372566414) q[6]; cx q[5], q[6]; cx q[5], q[4]; ry(0.10761661438083084) q[4]; cx q[5], q[4]; cx q[5], q[3]; ry(-0.10761661438083084) q[4]; rz(-pi/2) q[4]; cx q[4], q[10]; ry(-0.12301559769009761) q[10]; cx q[4], q[10]; ry(-0.0032609612827619273) q[3]; cx q[5], q[3]; cx q[5], q[2]; ry(0.010840375099780659) q[2]; cx q[5], q[2]; cx q[5], q[1]; ry(0.022834777253343364) q[1]; cx q[5], q[1]; cx q[5], q[0]; ry(-0.022834777253343364) q[1]; ry(-0.023872223564306808) q[0]; cx q[5], q[0]; ry(0.023872223564306804) q[0]; rz(pi/2) q[5]; ry(0.1230155976900976) q[10]; ry(-0.01084037509978066) q[2]; ry(0.003260961282761927) q[3]; ry(0.009757793372566414) q[6]; ry(-0.0017859554630990388) q[7]; ry(0.018859877743516155) q[8]; ry(-0.0998220045311615) q[9]; cx q[4], q[9]; ry(0.0998220045311615) q[9]; cx q[4], q[9]; cx q[4], q[8]; ry(-0.018859877743516155) q[8]; cx q[4], q[8]; cx q[4], q[7]; ry(0.0017859554630990388) q[7]; cx q[4], q[7]; cx q[4], q[6]; ry(-0.009757793372566414) q[6]; cx q[4], q[6]; cx q[4], q[5]; ry(0.013782019369856985) q[5]; cx q[4], q[5]; cx q[4], q[3]; ry(-0.0032609612827619273) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(0.0032609612827619273) q[3]; rz(-pi/2) q[3]; cx q[3], q[10]; ry(-0.12301559769009761) q[10]; cx q[3], q[10]; ry(0.010840375099780659) q[2]; cx q[4], q[2]; cx q[4], q[1]; ry(0.022834777253343364) q[1]; cx q[4], q[1]; cx q[4], q[0]; ry(-0.022834777253343364) q[1]; ry(-0.023872223564306808) q[0]; cx q[4], q[0]; ry(0.023872223564306804) q[0]; rz(pi/2) q[4]; ry(0.1230155976900976) q[10]; ry(-0.01084037509978066) q[2]; ry(-0.013782019369856985) q[5]; ry(0.009757793372566414) q[6]; ry(-0.0017859554630990388) q[7]; ry(0.018859877743516155) q[8]; ry(-0.0998220045311615) q[9]; cx q[3], q[9]; ry(0.0998220045311615) q[9]; cx q[3], q[9]; cx q[3], q[8]; ry(-0.018859877743516155) q[8]; cx q[3], q[8]; cx q[3], q[7]; ry(0.0017859554630990388) q[7]; cx q[3], q[7]; cx q[3], q[6]; ry(-0.009757793372566414) q[6]; cx q[3], q[6]; cx q[3], q[5]; ry(0.013782019369856985) q[5]; cx q[3], q[5]; cx q[3], q[4]; ry(0.10761661438083084) q[4]; cx q[3], q[4]; cx q[3], q[2]; ry(0.010840375099780659) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(-0.010840375099780659) q[2]; rz(-pi/2) q[2]; cx q[2], q[10]; ry(-0.12301559769009761) q[10]; cx q[2], q[10]; ry(0.022834777253343364) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(-0.022834777253343364) q[1]; ry(-0.023872223564306808) q[0]; cx q[3], q[0]; ry(0.023872223564306804) q[0]; rz(pi/2) q[3]; ry(0.1230155976900976) q[10]; ry(-0.10761661438083084) q[4]; ry(-0.013782019369856985) q[5]; ry(0.009757793372566414) q[6]; ry(-0.0017859554630990388) q[7]; ry(0.018859877743516155) q[8]; ry(-0.0998220045311615) q[9]; cx q[2], q[9]; ry(0.0998220045311615) q[9]; cx q[2], q[9]; cx q[2], q[8]; ry(-0.018859877743516155) q[8]; cx q[2], q[8]; cx q[2], q[7]; ry(0.0017859554630990388) q[7]; cx q[2], q[7]; cx q[2], q[6]; ry(-0.009757793372566414) q[6]; cx q[2], q[6]; cx q[2], q[5]; ry(0.013782019369856985) q[5]; cx q[2], q[5]; cx q[2], q[4]; ry(0.10761661438083084) q[4]; cx q[2], q[4]; cx q[2], q[3]; ry(-0.0032609612827619273) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(0.022834777253343364) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(-0.022834777253343364) q[1]; rz(-pi/2) q[1]; cx q[1], q[10]; ry(-0.12301559769009761) q[10]; cx q[1], q[10]; ry(-0.023872223564306808) q[0]; cx q[2], q[0]; ry(0.023872223564306804) q[0]; rz(pi/2) q[2]; ry(0.1230155976900976) q[10]; ry(0.003260961282761927) q[3]; ry(-0.10761661438083084) q[4]; ry(-0.013782019369856985) q[5]; ry(0.009757793372566414) q[6]; ry(-0.0017859554630990388) q[7]; ry(0.018859877743516155) q[8]; ry(-0.0998220045311615) q[9]; cx q[1], q[9]; ry(0.0998220045311615) q[9]; cx q[1], q[9]; cx q[1], q[8]; ry(-0.018859877743516155) q[8]; cx q[1], q[8]; cx q[1], q[7]; ry(0.0017859554630990388) q[7]; cx q[1], q[7]; cx q[1], q[6]; ry(-0.009757793372566414) q[6]; cx q[1], q[6]; cx q[1], q[5]; ry(0.013782019369856985) q[5]; cx q[1], q[5]; cx q[1], q[4]; ry(0.10761661438083084) q[4]; cx q[1], q[4]; cx q[1], q[3]; ry(-0.0032609612827619273) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(0.010840375099780659) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(-0.023872223564306808) q[0]; cx q[1], q[0]; ry(0.023872223564306808) q[0]; rz(-pi/2) q[0]; cx q[0], q[10]; ry(-0.12301559769009761) q[10]; cx q[0], q[10]; rz(pi/2) q[1]; ry(2.7788844328222675) q[10]; rz(-2.316451958508063) q[10]; ry(-0.01084037509978066) q[2]; ry(0.003260961282761927) q[3]; ry(-0.10761661438083084) q[4]; ry(-0.013782019369856985) q[5]; ry(0.009757793372566414) q[6]; ry(-0.0017859554630990388) q[7]; ry(0.018859877743516155) q[8]; ry(-0.0998220045311615) q[9]; cx q[0], q[9]; ry(0.0998220045311615) q[9]; cx q[0], q[9]; cx q[0], q[8]; ry(-0.018859877743516155) q[8]; cx q[0], q[8]; cx q[0], q[7]; ry(0.0017859554630990388) q[7]; cx q[0], q[7]; cx q[0], q[6]; ry(-0.009757793372566414) q[6]; cx q[0], q[6]; cx q[0], q[5]; ry(0.013782019369856985) q[5]; cx q[0], q[5]; cx q[0], q[4]; ry(0.10761661438083084) q[4]; cx q[0], q[4]; cx q[0], q[3]; ry(-0.0032609612827619273) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(0.010840375099780659) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(0.022834777253343364) q[1]; cx q[0], q[1]; rx(0.5847798147054175) q[0]; rz(-0.7124750728724725) q[0]; ry(1.3292592861113068) q[1]; rz(-1.2031624547218525) q[1]; ry(1.2073515783019957) q[2]; rz(-1.8832042716064215) q[2]; ry(0.026757524011259647) q[3]; rz(-0.6663910895790321) q[3]; ry(0.7889699202047027) q[4]; rz(-1.3101023449694562) q[4]; ry(-0.6300054989136248) q[5]; rz(-1.4078574919595006) q[5]; ry(1.2307923249531072) q[6]; rz(-1.185818810405638) q[6]; ry(1.165400942165323) q[7]; rz(-0.8065106268103865) q[7]; ry(1.4836003466691892) q[8]; rz(-1.28345061699448) q[8]; ry(0.5892756054142957) q[9]; rz(-0.8065106268103865) q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; rx(x20) q[10]; rz(x21) q[10]; crx(x22) q[10], q[9]; crx(x23) q[10], q[8]; crx(x24) q[10], q[7]; crx(x25) q[10], q[6]; crx(x26) q[10], q[5]; crx(x27) q[10], q[4]; crx(x28) q[10], q[3]; crx(x29) q[10], q[2]; crx(x30) q[10], q[1]; crx(x31) q[10], q[0]; crx(x32) q[9], q[10]; crx(x23) q[9], q[8]; crx(x24) q[9], q[7]; crx(x25) q[9], q[6]; crx(x26) q[9], q[5]; crx(x27) q[9], q[4]; crx(x28) q[9], q[3]; crx(x29) q[9], q[2]; crx(x30) q[9], q[1]; crx(x31) q[9], q[0]; crx(x32) q[8], q[10]; crx(x22) q[8], q[9]; crx(x24) q[8], q[7]; crx(x25) q[8], q[6]; crx(x26) q[8], q[5]; crx(x27) q[8], q[4]; crx(x28) q[8], q[3]; crx(x29) q[8], q[2]; crx(x30) q[8], q[1]; crx(x31) q[8], q[0]; crx(x32) q[7], q[10]; crx(x22) q[7], q[9]; crx(x23) q[7], q[8]; crx(x25) q[7], q[6]; crx(x26) q[7], q[5]; crx(x27) q[7], q[4]; crx(x28) q[7], q[3]; crx(x29) q[7], q[2]; crx(x30) q[7], q[1]; crx(x31) q[7], q[0]; crx(x32) q[6], q[10]; crx(x22) q[6], q[9]; crx(x23) q[6], q[8]; crx(x24) q[6], q[7]; crx(x26) q[6], q[5]; crx(x27) q[6], q[4]; crx(x28) q[6], q[3]; crx(x29) q[6], q[2]; crx(x30) q[6], q[1]; crx(x31) q[6], q[0]; crx(x32) q[5], q[10]; crx(x22) q[5], q[9]; crx(x23) q[5], q[8]; crx(x24) q[5], q[7]; crx(x25) q[5], q[6]; crx(x27) q[5], q[4]; crx(x28) q[5], q[3]; crx(x29) q[5], q[2]; crx(x30) q[5], q[1]; crx(x31) q[5], q[0]; crx(x32) q[4], q[10]; crx(x22) q[4], q[9]; crx(x23) q[4], q[8]; crx(x24) q[4], q[7]; crx(x25) q[4], q[6]; crx(x26) q[4], q[5]; crx(x28) q[4], q[3]; crx(x29) q[4], q[2]; crx(x30) q[4], q[1]; crx(x31) q[4], q[0]; crx(x32) q[3], q[10]; crx(x22) q[3], q[9]; crx(x23) q[3], q[8]; crx(x24) q[3], q[7]; crx(x25) q[3], q[6]; crx(x26) q[3], q[5]; crx(x27) q[3], q[4]; crx(x29) q[3], q[2]; crx(x30) q[3], q[1]; crx(x31) q[3], q[0]; crx(x32) q[2], q[10]; crx(x22) q[2], q[9]; crx(x23) q[2], q[8]; crx(x24) q[2], q[7]; crx(x25) q[2], q[6]; crx(x26) q[2], q[5]; crx(x27) q[2], q[4]; crx(x28) q[2], q[3]; crx(x30) q[2], q[1]; crx(x31) q[2], q[0]; crx(x32) q[1], q[10]; crx(x22) q[1], q[9]; crx(x23) q[1], q[8]; crx(x24) q[1], q[7]; crx(x25) q[1], q[6]; crx(x26) q[1], q[5]; crx(x27) q[1], q[4]; crx(x28) q[1], q[3]; crx(x29) q[1], q[2]; crx(x31) q[1], q[0]; crx(x32) q[0], q[10]; crx(x22) q[0], q[9]; crx(x23) q[0], q[8]; crx(x24) q[0], q[7]; crx(x25) q[0], q[6]; crx(x26) q[0], q[5]; crx(x27) q[0], q[4]; crx(x28) q[0], q[3]; crx(x29) q[0], q[2]; crx(x30) q[0], q[1]; rx(x33) q[0]; rz(x34) q[0]; rx(x35) q[1]; rz(x36) q[1]; rx(x37) q[2]; rz(x38) q[2]; rx(x39) q[3]; rz(x40) q[3]; rx(x41) q[4]; rz(x42) q[4]; rx(x43) q[5]; rz(x44) q[5]; rx(x18) q[6]; rz(x45) q[6]; rx(x46) q[7]; rz(x47) q[7]; rx(x48) q[8]; rz(x49) q[8]; rx(x50) q[9]; rz(x47) q[9]; rx(x51) q[10]; rz(x52) q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
null
{"circuits": [], "gradients": []}
[ "ZIIIIIIIIZI", "ZZIIIIIIIII", "IZIIIIIIIZI", "ZIIIZIIIIII", "IIIIZIIIIZI", "IZIIZIIIIII", "ZIZIIIIIIII", "IIZIIIIIIZI", "IZZIIIIIIII", "ZIIIIIIIZII", "IZIIIIIIZII", "IIZIIIIIZII", "ZIIIIIIZIII", "IIIIIIIZIZI", "IZIIIIIZIII", "IIIIZIIZIII", "IIZIIIIZIII", "IIIIIIIZZII", "ZIIIIIIII...
[ 0.08333333333333333, 0.08333333333333333, 0.25, 0.3333333333333333, 0.08333333333333333, 0.41666666666666663, 0.16666666666666666, 0.08333333333333333, 0.08333333333333333, 0.16666666666666666, 0.08333333333333333, 0.25, 0.16666666666666666, 0.08333333333333333, 0.25, 0.333333333333333...
0.970508
[ 2.2606979476246005, -0.022482835964538976, 1.9884941770914049, 0.10661148992295576, 1.9956658433376055, -0.04428616508338082, -0.06296885099420724, -0.0073043638088019155, 0.778686685060142, -0.8530430773818805, 0.784646049692322, -0.040575787651865834, 1.7883566752866544, 0.04692310711085...
{ "n_parameters": 53, "n_qubits": 11, "optimal_eigenvalue": -5.333333333333331, "target_ratio": 0.97, "target_value": -5.173333333333331 }
254
c115cf772412a3efc6e8057443fcfc91
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}], "edges": [{"weight": 4, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 7}, {"weight": 10, "source": 1, "target": 7}, {"weight": 3, "source": 2, "target": 8}, {"weight": 16, "source": 2, "target": 10}, {"weight": 5, "source": 3, "target": 9}, {"weight": 20, "source": 3, "target": 13}, {"weight": 1, "source": 4, "target": 10}, {"weight": 20, "source": 4, "target": 12}, {"weight": 13, "source": 4, "target": 7}, {"weight": 7, "source": 5, "target": 11}]}
{"states": [682, 678], "expectation_value": -114.48757601899696, "params": [[0.0118, 0.6322, -0.023100000000000002, 0.6345000000000001, -0.0027, 0.6285000000000001, 0.0396, 0.0823, -0.4379, 1.0388, -0.003], [-0.007200000000000001, 0.6259, 0.10840000000000001, 0.625, -0.0016, 0.6307, -0.0281, 0.0166, 0.5237, 0.9995, -0.0021000000000000003], [-0.006200000000000001, 0.6254000000000001, -0.06280000000000001, 0.6289, 0.0026000000000000003, 0.6297, -0.0205, 0.23090000000000002, -0.6327, 0.8562000000000001, -0.0032], [-0.0014, 0.6298, -0.1453, 0.63, 0.002, 0.6355000000000001, 0.0023, 0.8307, 0.4617, 0.2461, -0.004200000000000001], [-0.0089, 0.622, 0.1341, 0.6208, 0.0037, 0.6319, -0.0043, 0.4889, -0.32030000000000003, 0.2733, -0.0029000000000000002]], "bitstrings": ["10101010101", "10101011001"], "total_optimization_steps": 150, "probabilities": [0.31215896369267404, 0.5624932518324666], "optimization_time": 9.690748691558838}
8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + -6.0 * Z(0) + 15.5 * Z(1) + 5.0 * Z(2) + -6.5 * Z(4) + 8.0 * Z(3) + -5.5 * Z(6) + 2.0 * Z(5) + 8.5 * Z(7) + 10.0 * Z(8) + 22.5 * Z(9) + -12.5 * Z(10)
10
11
4
{"smallest_eigenvalues": [-123.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["10101011001"], "largest_eigenvalue": 153.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[11] q; ry(-0.0450087598344301) q[0]; ry(0.5768066248247911) q[1]; ry(0.09264399580261445) q[2]; ry(0.4553357309720831) q[3]; ry(0.05133724727125706) q[4]; ry(0.6747000700949605) q[5]; ry(0.18267254289961354) q[6]; ry(0.06547291659739464) q[7]; ry(-0.32242678945708303) q[8]; ry(1.2025991430530245) q[9]; ry(0.06605400996846746) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.004698089733478224) q[0]; ry(0.6146294233544088) q[1]; ry(-0.03862343131934638) q[10]; ry(-0.030955114784766376) q[2]; ry(0.6596746314637065) q[3]; ry(-0.04676502612213008) q[4]; ry(0.75643617295876) q[5]; ry(0.10166676660927798) q[6]; ry(-0.01740894710711926) q[7]; ry(0.7769402414298817) q[8]; ry(1.0635357867706128) q[9]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(0.11920617820302232) q[0]; ry(0.7683692074061997) q[1]; ry(-0.14502666502224157) q[10]; ry(-0.22640227685465072) q[2]; ry(0.4550387574153789) q[3]; ry(0.13854667703106616) q[4]; ry(0.44644204348888133) q[5]; ry(-0.18615751261767616) q[6]; ry(-0.02036732104316924) q[7]; ry(-1.1500913295804296) q[8]; ry(0.7732958326965175) q[9]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.1122757316387337) q[0]; ry(0.6389159322215734) q[1]; ry(-0.03648267865587174) q[10]; ry(-0.06903854290172942) q[2]; ry(0.9373268291890132) q[3]; ry(0.09233401020184503) q[4]; ry(0.7392563864471434) q[5]; ry(-0.039775805090343855) q[6]; ry(0.7010607509464264) q[7]; ry(0.7599081364762246) q[8]; ry(0.4599950257277737) q[9]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(-0.008140584398689955) q[0]; ry(0.7076083080173623) q[1]; ry(0.14669530686918855) q[10]; ry(-0.01312260262556425) q[2]; ry(0.6063964655763746) q[3]; ry(-0.02525042861370342) q[4]; ry(0.6744190839360477) q[5]; ry(-0.05037952146717045) q[6]; ry(0.5841591783551299) q[7]; ry(-0.26347751521006635) q[8]; ry(0.3449135674467846) q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[11] c; qubit[11] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x11) q[0]; ry(x12) q[1]; ry(x13) q[2]; ry(x14) q[3]; ry(x15) q[4]; ry(x16) q[5]; ry(x17) q[6]; ry(x18) q[7]; ry(x19) q[8]; ry(x20) q[9]; ry(x21) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x22) q[0]; ry(x23) q[1]; ry(x24) q[2]; ry(x25) q[3]; ry(x26) q[4]; ry(x27) q[5]; ry(x28) q[6]; ry(x29) q[7]; ry(x30) q[8]; ry(x31) q[9]; ry(x32) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x33) q[0]; ry(x34) q[1]; ry(x35) q[2]; ry(x36) q[3]; ry(x37) q[4]; ry(x38) q[5]; ry(x39) q[6]; ry(x40) q[7]; ry(x41) q[8]; ry(x42) q[9]; ry(x43) q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[10]; ry(x44) q[0]; ry(x45) q[1]; ry(x46) q[2]; ry(x47) q[3]; ry(x48) q[4]; ry(x49) q[5]; ry(x50) q[6]; ry(x51) q[7]; ry(x52) q[8]; ry(x53) q[9]; ry(x54) q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIIIZZ", "IIIIIIIIZZI", "IIIIIIZZIII", "IIIIZZIIIII", "IIIZIIIZIII", "IIZZIIIIIII", "IZIIIIIIIZI", "IZIIIIIIZII", "IZIZIIIIIII", "IZZIIIIIIII", "IIIIIIIIIIZ", "IIIIIIIIIZI", "IIIIIIIIZII", "IIIIIIZIIII", "IIIIIIIZIII", "IIIIZIIIIII", "IIIIIZIIIII", "IIIZIIIIIII", "IIZIIIIII...
[ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, -6, 15.5, 5, -6.5, 8, -5.5, 2, 8.5, 10, 22.5, -12.5 ]
0.975631
[ -0.0450087598344301, 0.5768066248247911, 0.09264399580261445, 0.4553357309720831, 0.05133724727125706, 0.6747000700949605, 0.18267254289961354, 0.06547291659739464, -0.32242678945708303, 1.2025991430530245, 0.06605400996846746, -0.004698089733478224, 0.6146294233544088, -0.0309551147847663...
{ "n_parameters": 55, "n_qubits": 11, "optimal_eigenvalue": -123, "target_ratio": 0.97, "target_value": -119.31 }
8
725c9b512790b6f65e71b3c284e6ef0c
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]}
{"states": [0, 28], "expectation_value": -4.112688043115055, "params": [0.42260000000000003, 1.3047, -0.40390000000000004, 1.0045, 0.4726, 0.5134000000000001, 0.4025, 0.5209, 0.216, 0.7492000000000001, -0.3769, 0.43310000000000004, -0.0316, 0.9213, 0.033, 0.7546, -0.42810000000000004, 0.15960000000000002, -0.46630000000000005, 0.4223, -0.4657, 0.5733, -0.0597, 0.0011, 0.4888, 0.4061, 0.0385, 0.0022, -0.44010000000000005, 0.7991, 0.0132, 0.0022, -0.1661, 0.7294, 0.035500000000000004, 0.0061, -0.4817, 0.5311, 0.438, 0.006500000000000001, 1.0594000000000001, 1.2678, 0.6143000000000001, 0.10350000000000001, 1.2154, -1.2492, 0.8971, -1.0918, 0.039900000000000005, 0.4637], "bitstrings": ["11111", "00011"], "total_optimization_steps": 180, "probabilities": [0.3364541712559168, 0.567524932856253], "optimization_time": 15.113510847091675}
-1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(4) + -1.0 * Z(3)
6
5
2
{"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000", "00011"], "largest_eigenvalue": 7.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[5] q; h q[0]; h q[1]; h q[2]; cx q[2], q[0]; rz(-1.2092259966300754) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(-1.2092259966300754) q[1]; cx q[2], q[1]; cx q[0], q[1]; rz(-0.36626893194598403) q[1]; cx q[0], q[1]; rz(-0.3662689319459842) q[0]; rx(-0.8807098386931145) q[0]; rz(-0.3662689319459842) q[1]; rx(-0.8807098386931145) q[1]; rz(-0.3662689319459842) q[2]; rx(-0.8807098386931145) q[2]; h q[3]; h q[4]; cx q[4], q[3]; rz(-1.2092259966300754) q[3]; cx q[4], q[3]; rz(0.4751616547745803) q[3]; rx(-0.8807098386931146) q[3]; rz(0.779648963695486) q[4]; rx(-0.8807098386931148) q[4];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[5] c; qubit[5] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; crx(x10) q[4], q[3]; crx(x11) q[4], q[2]; crx(x12) q[4], q[1]; crx(x13) q[4], q[0]; crx(x14) q[3], q[4]; crx(x11) q[3], q[2]; crx(x12) q[3], q[1]; crx(x13) q[3], q[0]; crx(x14) q[2], q[4]; crx(x10) q[2], q[3]; crx(x12) q[2], q[1]; crx(x13) q[2], q[0]; crx(x14) q[1], q[4]; crx(x10) q[1], q[3]; crx(x11) q[1], q[2]; crx(x13) q[1], q[0]; crx(x14) q[0], q[4]; crx(x10) q[0], q[3]; crx(x11) q[0], q[2]; crx(x12) q[0], q[1]; rx(x15) q[0]; rz(x16) q[0]; rx(x17) q[1]; rz(x18) q[1]; rx(x19) q[2]; rz(x20) q[2]; rx(x21) q[3]; rz(x22) q[3]; rx(x23) q[4]; rz(x24) q[4]; rx(x25) q[0]; rz(x26) q[0]; rx(x27) q[1]; rz(x28) q[1]; rx(x29) q[2]; rz(x30) q[2]; rx(x31) q[3]; rz(x32) q[3]; rx(x33) q[4]; rz(x34) q[4]; crx(x35) q[4], q[3]; crx(x36) q[4], q[2]; crx(x37) q[4], q[1]; crx(x38) q[4], q[0]; crx(x39) q[3], q[4]; crx(x36) q[3], q[2]; crx(x37) q[3], q[1]; crx(x38) q[3], q[0]; crx(x39) q[2], q[4]; crx(x35) q[2], q[3]; crx(x37) q[2], q[1]; crx(x38) q[2], q[0]; crx(x39) q[1], q[4]; crx(x35) q[1], q[3]; crx(x36) q[1], q[2]; crx(x38) q[1], q[0]; crx(x39) q[0], q[4]; crx(x35) q[0], q[3]; crx(x36) q[0], q[2]; crx(x37) q[0], q[1]; rx(x40) q[0]; rz(x41) q[0]; rx(x42) q[1]; rz(x43) q[1]; rx(x44) q[2]; rz(x43) q[2]; rx(x45) q[3]; rz(x46) q[3]; rx(x47) q[4]; rz(x48) q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
{"node": 3}
{"circuits": [], "gradients": []}
[ "IIZIZ", "IIZZI", "IIIZZ", "ZZIII", "IIZII", "IIIIZ", "IIIZI", "ZIIII", "IZIII" ]
[ -1.5, -1.5, 0.5, -1.5, 0.5, 0.5, 0.5, 1, -1 ]
0.60193
[ -1.2092259966300754, -0.36626893194598403, 0.7796489636954859, 0.4751616547745804, -0.8807098386931146 ]
{ "n_parameters": 5, "n_qubits": 5, "optimal_eigenvalue": -5.5, "target_ratio": 0.97, "target_value": -5.335 }
154
5129940d52965c3bcc0f8dd9c73f53f5
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]}
{"states": [0, 7], "expectation_value": -4.949621029932606, "params": [0.1991, 0.5931000000000001, -0.09820000000000001, 0.5978, -0.303, 0.5988, -0.2836, 0.8269000000000001, -0.32, 0.4444, -0.28800000000000003, 0.7924, -0.3098, 0.7614000000000001, -0.25630000000000003, 0.8439000000000001, -0.2604, 0.2136, -0.2495, 0.6836, -0.2585, 0.8349000000000001, 0.25880000000000003, 0.7668, -0.21230000000000002, 0.8318000000000001, 0.2389, 0.7507, -0.10940000000000001, 0.8243, 0.24000000000000002, 0.7312000000000001, -0.2492, 0.6579, 0.22690000000000002, 0.8091, 0.2808, 0.5202, -0.0279, 0.0965, 0.2692, 0.4676, 0.031900000000000005, 0.24700000000000003, 0.2922, 0.4199, 0.1517, 0.3017, -0.2301, 0.6990000000000001, 0.1173, 0.0011, -0.0538, 0.024, -0.2544, 0.0037, 0.046200000000000005, 0.1879, -0.2728, 0.001, 0.15480000000000002, 0.23370000000000002, -0.2529, 0.006, -0.5239, 0.0395, 0.0256, 0.0575, -0.7222000000000001, 0.1121, 0.0345, 0.0388, -0.925, 0.3456, 0.4304, 0.7122, -0.6533, 0.8337, 0.6990000000000001, 0.27040000000000003], "bitstrings": ["1111", "1000"], "total_optimization_steps": 110, "probabilities": [0.4390578091754404, 0.5026716475902269], "optimization_time": 17.456382036209106}
-1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + -0.5 * Z(0)
6
4
4
{"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[4] q; rx(-0.2762160908520579) q[0]; rz(2.1717347277170145) q[0]; rx(-0.25251778179951073) q[1]; rz(1.127576670184414) q[1]; rx(-0.7776815244476688) q[2]; rz(2.2659608371426394) q[2]; rx(-0.562711315578499) q[3]; rz(0.5375407579258363) q[3]; cx q[3], q[2]; ry(-0.2390660671614494) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(0.2390660671614494) q[2]; rz(-pi/2) q[2]; ry(0.1970142055649588) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(-0.1970142055649588) q[1]; ry(0.14542337749982973) q[0]; cx q[3], q[0]; ry(-0.14542337749982973) q[0]; rz(pi/2) q[3]; cx q[2], q[3]; ry(-0.08207097765044342) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(0.1970142055649588) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(-0.1970142055649588) q[1]; rz(-pi/2) q[1]; ry(0.14542337749982973) q[0]; cx q[2], q[0]; ry(-0.14542337749982973) q[0]; rz(pi/2) q[2]; ry(0.08207097765044342) q[3]; cx q[1], q[3]; ry(-0.08207097765044342) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(-0.2390660671614494) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(0.14542337749982973) q[0]; cx q[1], q[0]; ry(-0.14542337749982973) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(0.23906606716144943) q[2]; ry(0.08207097765044342) q[3]; cx q[0], q[3]; ry(-0.08207097765044342) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(-0.2390660671614494) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(0.1970142055649588) q[1]; cx q[0], q[1]; rz(-0.9346724212947688) q[0]; ry(0.29353361290034297) q[0]; rz(-2.975744697295779) q[0]; rz(-2.725196990803881) q[1]; ry(1.1012668866812971) q[1]; rz(-1.3967878560261806) q[1]; rz(-2.339074641726988) q[2]; ry(1.0192260041839218) q[2]; rz(-2.1779481251010986) q[2]; rz(-3.0957577015127455) q[3]; ry(0.8855015463620582) q[3]; rz(-2.1863874953208358) q[3]; cx q[3], q[2]; ry(-0.035391445157221015) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(0.035391445157221015) q[2]; rz(-pi/2) q[2]; ry(0.13304163084585519) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(0.17911337836710106) q[0]; cx q[3], q[0]; ry(-0.17911337836710103) q[0]; rz(pi/2) q[3]; cx q[2], q[3]; ry(0.13452235349766045) q[3]; cx q[2], q[3]; ry(-0.13304163084585519) q[1]; cx q[2], q[1]; ry(0.13304163084585519) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(-0.13304163084585519) q[1]; rz(-pi/2) q[1]; ry(0.17911337836710106) q[0]; cx q[2], q[0]; ry(-0.17911337836710103) q[0]; rz(pi/2) q[2]; ry(-0.13452235349766045) q[3]; cx q[1], q[3]; ry(0.13452235349766045) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(-0.035391445157221015) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(0.17911337836710106) q[0]; cx q[1], q[0]; ry(-0.17911337836710106) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(0.035391445157221015) q[2]; ry(-0.13452235349766045) q[3]; cx q[0], q[3]; ry(0.13452235349766045) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(-0.035391445157221015) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(0.13304163084585519) q[1]; cx q[0], q[1]; rz(-0.8473384220498237) q[0]; ry(1.2528171606997538) q[0]; rz(-1.007753342704273) q[0]; rz(0.9728919330666592) q[1]; ry(0.5646929894387585) q[1]; rz(0.6863543525097158) q[1]; rz(0.4514528757868037) q[2]; ry(0.7067348638205083) q[2]; rz(0.7471311847385076) q[2]; rz(0.5163546620507211) q[3]; ry(1.281131453317346) q[3]; rz(-1.5202458619425991) q[3]; cx q[3], q[2]; ry(-0.13072741012673486) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(0.13072741012673486) q[2]; rz(-pi/2) q[2]; ry(0.006871564026210808) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(0.2745968965527216) q[0]; cx q[3], q[0]; ry(-0.2745968965527216) q[0]; rz(pi/2) q[3]; cx q[2], q[3]; ry(-0.16990701237679767) q[3]; cx q[2], q[3]; ry(-0.006871564026210808) q[1]; cx q[2], q[1]; ry(0.006871564026210808) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(-0.006871564026210808) q[1]; rz(-pi/2) q[1]; ry(0.2745968965527216) q[0]; cx q[2], q[0]; ry(-0.2745968965527216) q[0]; rz(pi/2) q[2]; ry(0.16990701237679764) q[3]; cx q[1], q[3]; ry(-0.16990701237679767) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(-0.13072741012673486) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(0.2745968965527216) q[0]; cx q[1], q[0]; ry(-0.2745968965527216) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(0.13072741012673486) q[2]; ry(0.16990701237679764) q[3]; cx q[0], q[3]; ry(-0.16990701237679767) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(-0.13072741012673486) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(0.006871564026210808) q[1]; cx q[0], q[1]; rz(2.0856408179720303) q[0]; ry(0.20538172109105593) q[0]; rz(0.08053764143114428) q[0]; rz(0.16597487880096695) q[1]; ry(0.11399141561544099) q[1]; rz(-0.23398790595577257) q[1]; rz(0.14590125743701554) q[2]; ry(1.0263663702984247) q[2]; rz(0.8920204886728236) q[2]; rz(-0.11891544759498185) q[3]; ry(0.4333806804475933) q[3]; rz(-1.2850860921805394) q[3]; cx q[3], q[2]; ry(-0.14978253440707792) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(0.14978253440707792) q[2]; rz(-pi/2) q[2]; ry(-0.5551527099354338) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(0.12366808743008863) q[0]; cx q[3], q[0]; ry(-0.12366808743008861) q[0]; rz(pi/2) q[3]; cx q[2], q[3]; ry(-0.020874735982713583) q[3]; cx q[2], q[3]; ry(0.5551527099354339) q[1]; cx q[2], q[1]; ry(-0.5551527099354338) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(0.5551527099354338) q[1]; rz(-pi/2) q[1]; ry(0.12366808743008863) q[0]; cx q[2], q[0]; ry(-0.12366808743008861) q[0]; rz(pi/2) q[2]; ry(0.020874735982713583) q[3]; cx q[1], q[3]; ry(-0.020874735982713583) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(-0.14978253440707792) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(0.12366808743008863) q[0]; cx q[1], q[0]; ry(-0.12366808743008863) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(0.14978253440707795) q[2]; ry(0.020874735982713583) q[3]; cx q[0], q[3]; ry(-0.020874735982713583) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(-0.14978253440707792) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(-0.5551527099354338) q[1]; cx q[0], q[1]; rx(-0.0658961151215926) q[0]; rz(-0.4994623297817019) q[0]; ry(-0.25538645191179327) q[1]; rz(-1.9767404193237015) q[1]; ry(-0.32604923283862436) q[2]; rz(-1.5572933479442543) q[2]; ry(-0.0032626841218531557) q[3]; rz(-0.778077139641832) q[3];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x8; input float[64] x9; bit[4] c; qubit[4] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; crx(x8) q[3], q[2]; crx(x9) q[3], q[1]; crx(x10) q[3], q[0]; crx(x11) q[2], q[3]; crx(x9) q[2], q[1]; crx(x10) q[2], q[0]; crx(x11) q[1], q[3]; crx(x8) q[1], q[2]; crx(x10) q[1], q[0]; crx(x11) q[0], q[3]; crx(x8) q[0], q[2]; crx(x9) q[0], q[1]; rx(x12) q[0]; rz(x13) q[0]; rx(x14) q[1]; rz(x15) q[1]; rx(x16) q[2]; rz(x17) q[2]; rx(x18) q[3]; rz(x19) q[3]; rx(x20) q[0]; rz(x21) q[0]; rx(x22) q[1]; rz(x23) q[1]; rx(x24) q[2]; rz(x25) q[2]; rx(x26) q[3]; rz(x27) q[3]; crx(x28) q[3], q[2]; crx(x29) q[3], q[1]; crx(x30) q[3], q[0]; crx(x31) q[2], q[3]; crx(x29) q[2], q[1]; crx(x30) q[2], q[0]; crx(x31) q[1], q[3]; crx(x28) q[1], q[2]; crx(x30) q[1], q[0]; crx(x31) q[0], q[3]; crx(x28) q[0], q[2]; crx(x29) q[0], q[1]; rx(x32) q[0]; rz(x33) q[0]; rx(x34) q[1]; rz(x35) q[1]; rx(x36) q[2]; rz(x37) q[2]; rx(x38) q[3]; rz(x39) q[3]; rx(x40) q[0]; rz(x41) q[0]; rx(x42) q[1]; rz(x43) q[1]; rx(x44) q[2]; rz(x45) q[2]; rx(x46) q[3]; rz(x47) q[3]; crx(x48) q[3], q[2]; crx(x49) q[3], q[1]; crx(x50) q[3], q[0]; crx(x51) q[2], q[3]; crx(x49) q[2], q[1]; crx(x50) q[2], q[0]; crx(x51) q[1], q[3]; crx(x48) q[1], q[2]; crx(x50) q[1], q[0]; crx(x51) q[0], q[3]; crx(x48) q[0], q[2]; crx(x49) q[0], q[1]; rx(x52) q[0]; rz(x53) q[0]; rx(x54) q[1]; rz(x55) q[1]; rx(x56) q[2]; rz(x57) q[2]; rx(x58) q[3]; rz(x59) q[3]; rx(x60) q[0]; rz(x61) q[0]; rx(x62) q[1]; rz(x63) q[1]; rx(x64) q[2]; rz(x65) q[2]; rx(x66) q[3]; rz(x67) q[3]; crx(x61) q[3], q[2]; crx(x68) q[3], q[1]; crx(x69) q[3], q[0]; crx(x70) q[2], q[3]; crx(x68) q[2], q[1]; crx(x69) q[2], q[0]; crx(x70) q[1], q[3]; crx(x61) q[1], q[2]; crx(x69) q[1], q[0]; crx(x70) q[0], q[3]; crx(x61) q[0], q[2]; crx(x68) q[0], q[1]; rx(x71) q[0]; rz(x72) q[0]; rx(x73) q[1]; rz(x74) q[1]; rx(x75) q[2]; rz(x76) q[2]; rx(x77) q[3]; rz(x78) q[3]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3];
{"node": 1}
{"circuits": [], "gradients": []}
[ "IZZI", "ZZII", "ZIZI", "IZII", "IIZI", "ZIII", "IIIZ" ]
[ -1.5, -1.5, -1.5, 0.5, 0.5, 0.5, -0.5 ]
0.97312
[ -0.2762160908520579, 0.6009384009221174, -0.25251778179951073, -0.44321965661048196, -0.7776815244476689, 0.6951645103477428, -0.562711315578499, 0.5375407579258363, 0.4781321343228988, -0.3940284111299176, -0.29084675499965945, 0.16414195530088685, 0.14075541250665047, 0.44040552857846893...
{ "n_parameters": 79, "n_qubits": 4, "optimal_eigenvalue": -6.5, "target_ratio": 0.97, "target_value": -6.305 }
116
a491cc1ad860027bed378ec630af854f
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 7, "target": 10}, {"source": 8, "target": 9}, {"source": 9, "target": 10}]}
{"states": [0, 15], "expectation_value": -25.231208210474534, "params": [0.0034000000000000002, 1.3196, 0.0043, 0.0078000000000000005, -0.0012000000000000001, -1.3749, -0.006500000000000001, 0.0006000000000000001, 0.0055000000000000005, -1.8833000000000002, -0.0049, 0.005200000000000001, -0.001, 1.8482, 0.0032, 0.0045000000000000005, 0.0036000000000000003, 1.7845, -0.0038, 0.0077, -0.0026000000000000003, 2.1561, -0.00030000000000000003, 0.006200000000000001, 0.9438000000000001, 0.26630000000000004, -0.7602, 0.0036000000000000003, 1.0314, 0.6454000000000001, 0.5447000000000001, 0.0061, 0.9919, 0.661, -0.0002, 0.0098, 0.8099000000000001, 0.5920000000000001, -0.09820000000000001, 0.0095, -0.0035, 0.0009000000000000001, 0.0027, 0.002, -0.0036000000000000003, 0.0006000000000000001, 2.5187, 0.7291000000000001, 1.1539000000000001, 1.6083], "bitstrings": ["1111111111", "1111110000"], "total_optimization_steps": 340, "probabilities": [0.3591282778905515, 0.4625872247348043], "optimization_time": 59.81879210472107}
1.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(5)) + -2.0 * (Z(1) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -3.5 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(1)) + -1.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * Z(4) + -2.5 * Z(3) + -2.0 * Z(5) + 0.5 * Z(0) + 1.0 * Z(1) + 2.0 * Z(2) + 0.5 * Z(9) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(8)
6
10
1
{"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["1111110000"], "largest_eigenvalue": 30.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; rx(-0.0379855746199412) q[0]; rz(2.523040099671455) q[0]; rx(0.027826932370356078) q[1]; rz(0.20145791713807748) q[1]; rx(-0.017071400277261763) q[2]; rz(-0.637314958293203) q[2]; rx(0.008469599218939616) q[3]; rz(-2.2439032428305827) q[3]; rx(-0.027912901170832522) q[4]; rz(-3.0587353665046013) q[4]; rx(0.016004393104561535) q[5]; rz(-2.282949005020356) q[5]; rx(1.4440212039148899) q[6]; rz(1.5410657998589574) q[6]; rx(2.0177954573505974) q[7]; rz(1.638690842932994) q[7]; rx(1.7076514315948952) q[8]; rz(1.5148504559483147) q[8]; rx(0.9735486434619101) q[9]; rz(-0.05671725809201644) q[9]; cx q[9], q[8]; ry(-0.5271798177851682) q[8]; cx q[9], q[8]; cx q[9], q[7]; ry(0.5271798177851682) q[8]; rz(-pi/2) q[8]; ry(0.010963160987519044) q[7]; cx q[9], q[7]; cx q[9], q[6]; ry(-1.2252611082376736) q[6]; cx q[9], q[6]; cx q[9], q[5]; ry(0.00028298992295780023) q[5]; cx q[9], q[5]; cx q[9], q[4]; ry(-0.004769746069121325) q[4]; cx q[9], q[4]; cx q[9], q[3]; ry(0.004302488745332106) q[3]; cx q[9], q[3]; cx q[9], q[2]; ry(0.011335990090399978) q[2]; cx q[9], q[2]; cx q[9], q[1]; ry(0.0036233080955888394) q[1]; cx q[9], q[1]; cx q[9], q[0]; ry(-0.0036233080955888394) q[1]; ry(0.0008598368716230603) q[0]; cx q[9], q[0]; ry(-0.0008598368716230602) q[0]; rz(pi/2) q[9]; cx q[8], q[9]; ry(-0.9218552357152411) q[9]; cx q[8], q[9]; ry(-0.011335990090399978) q[2]; ry(-0.004302488745332106) q[3]; ry(0.004769746069121325) q[4]; ry(-0.0002829899229578002) q[5]; ry(1.2252611082376734) q[6]; ry(-0.010963160987519044) q[7]; cx q[8], q[7]; ry(0.010963160987519044) q[7]; cx q[8], q[7]; cx q[8], q[6]; ry(-0.010963160987519044) q[7]; rz(-pi/2) q[7]; ry(-1.2252611082376736) q[6]; cx q[8], q[6]; cx q[8], q[5]; ry(0.00028298992295780023) q[5]; cx q[8], q[5]; cx q[8], q[4]; ry(-0.004769746069121325) q[4]; cx q[8], q[4]; cx q[8], q[3]; ry(0.004302488745332106) q[3]; cx q[8], q[3]; cx q[8], q[2]; ry(0.011335990090399978) q[2]; cx q[8], q[2]; cx q[8], q[1]; ry(0.0036233080955888394) q[1]; cx q[8], q[1]; cx q[8], q[0]; ry(-0.0036233080955888394) q[1]; ry(0.0008598368716230603) q[0]; cx q[8], q[0]; ry(-0.0008598368716230602) q[0]; rz(pi/2) q[8]; ry(-0.011335990090399978) q[2]; ry(-0.004302488745332106) q[3]; ry(0.004769746069121325) q[4]; ry(-0.0002829899229578002) q[5]; ry(1.2252611082376734) q[6]; ry(0.921855235715241) q[9]; cx q[7], q[9]; ry(-0.9218552357152411) q[9]; cx q[7], q[9]; cx q[7], q[8]; ry(-0.5271798177851682) q[8]; cx q[7], q[8]; cx q[7], q[6]; ry(-1.2252611082376736) q[6]; cx q[7], q[6]; cx q[7], q[5]; ry(1.2252611082376736) q[6]; rz(-pi/2) q[6]; ry(0.00028298992295780023) q[5]; cx q[7], q[5]; cx q[7], q[4]; ry(-0.004769746069121325) q[4]; cx q[7], q[4]; cx q[7], q[3]; ry(0.004302488745332106) q[3]; cx q[7], q[3]; cx q[7], q[2]; ry(0.011335990090399978) q[2]; cx q[7], q[2]; cx q[7], q[1]; ry(0.0036233080955888394) q[1]; cx q[7], q[1]; cx q[7], q[0]; ry(-0.0036233080955888394) q[1]; ry(0.0008598368716230603) q[0]; cx q[7], q[0]; ry(-0.0008598368716230602) q[0]; rz(pi/2) q[7]; ry(-0.011335990090399978) q[2]; ry(-0.004302488745332106) q[3]; ry(0.004769746069121325) q[4]; ry(-0.0002829899229578002) q[5]; ry(0.5271798177851682) q[8]; ry(0.921855235715241) q[9]; cx q[6], q[9]; ry(-0.9218552357152411) q[9]; cx q[6], q[9]; cx q[6], q[8]; ry(-0.5271798177851682) q[8]; cx q[6], q[8]; cx q[6], q[7]; ry(0.010963160987519044) q[7]; cx q[6], q[7]; cx q[6], q[5]; ry(0.00028298992295780023) q[5]; cx q[6], q[5]; cx q[6], q[4]; ry(-0.00028298992295780023) q[5]; rz(-pi/2) q[5]; ry(-0.004769746069121325) q[4]; cx q[6], q[4]; cx q[6], q[3]; ry(0.004302488745332106) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(0.011335990090399978) q[2]; cx q[6], q[2]; cx q[6], q[1]; ry(0.0036233080955888394) q[1]; cx q[6], q[1]; cx q[6], q[0]; ry(-0.0036233080955888394) q[1]; ry(0.0008598368716230603) q[0]; cx q[6], q[0]; ry(-0.0008598368716230602) q[0]; rz(pi/2) q[6]; ry(-0.011335990090399978) q[2]; ry(-0.004302488745332106) q[3]; ry(0.004769746069121325) q[4]; ry(-0.010963160987519044) q[7]; ry(0.5271798177851682) q[8]; ry(0.921855235715241) q[9]; cx q[5], q[9]; ry(-0.9218552357152411) q[9]; cx q[5], q[9]; cx q[5], q[8]; ry(-0.5271798177851682) q[8]; cx q[5], q[8]; cx q[5], q[7]; ry(0.010963160987519044) q[7]; cx q[5], q[7]; cx q[5], q[6]; ry(-1.2252611082376736) q[6]; cx q[5], q[6]; cx q[5], q[4]; ry(-0.004769746069121325) q[4]; cx q[5], q[4]; cx q[5], q[3]; ry(0.004769746069121325) q[4]; rz(-pi/2) q[4]; ry(0.004302488745332106) q[3]; cx q[5], q[3]; cx q[5], q[2]; ry(0.011335990090399978) q[2]; cx q[5], q[2]; cx q[5], q[1]; ry(0.0036233080955888394) q[1]; cx q[5], q[1]; cx q[5], q[0]; ry(-0.0036233080955888394) q[1]; ry(0.0008598368716230603) q[0]; cx q[5], q[0]; ry(-0.0008598368716230602) q[0]; rz(pi/2) q[5]; ry(-0.011335990090399978) q[2]; ry(-0.004302488745332106) q[3]; ry(1.2252611082376734) q[6]; ry(-0.010963160987519044) q[7]; ry(0.5271798177851682) q[8]; ry(0.921855235715241) q[9]; cx q[4], q[9]; ry(-0.9218552357152411) q[9]; cx q[4], q[9]; cx q[4], q[8]; ry(-0.5271798177851682) q[8]; cx q[4], q[8]; cx q[4], q[7]; ry(0.010963160987519044) q[7]; cx q[4], q[7]; cx q[4], q[6]; ry(-1.2252611082376736) q[6]; cx q[4], q[6]; cx q[4], q[5]; ry(0.00028298992295780023) q[5]; cx q[4], q[5]; cx q[4], q[3]; ry(0.004302488745332106) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(-0.004302488745332106) q[3]; rz(-pi/2) q[3]; ry(0.011335990090399978) q[2]; cx q[4], q[2]; cx q[4], q[1]; ry(0.0036233080955888394) q[1]; cx q[4], q[1]; cx q[4], q[0]; ry(-0.0036233080955888394) q[1]; ry(0.0008598368716230603) q[0]; cx q[4], q[0]; ry(-0.0008598368716230602) q[0]; rz(pi/2) q[4]; ry(-0.011335990090399978) q[2]; ry(-0.0002829899229578002) q[5]; ry(1.2252611082376734) q[6]; ry(-0.010963160987519044) q[7]; ry(0.5271798177851682) q[8]; ry(0.921855235715241) q[9]; cx q[3], q[9]; ry(-0.9218552357152411) q[9]; cx q[3], q[9]; cx q[3], q[8]; ry(-0.5271798177851682) q[8]; cx q[3], q[8]; cx q[3], q[7]; ry(0.010963160987519044) q[7]; cx q[3], q[7]; cx q[3], q[6]; ry(-1.2252611082376736) q[6]; cx q[3], q[6]; cx q[3], q[5]; ry(0.00028298992295780023) q[5]; cx q[3], q[5]; cx q[3], q[4]; ry(-0.004769746069121325) q[4]; cx q[3], q[4]; cx q[3], q[2]; ry(0.011335990090399978) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(-0.011335990090399978) q[2]; rz(-pi/2) q[2]; ry(0.0036233080955888394) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(-0.0036233080955888394) q[1]; ry(0.0008598368716230603) q[0]; cx q[3], q[0]; ry(-0.0008598368716230602) q[0]; rz(pi/2) q[3]; ry(0.004769746069121325) q[4]; ry(-0.0002829899229578002) q[5]; ry(1.2252611082376734) q[6]; ry(-0.010963160987519044) q[7]; ry(0.5271798177851682) q[8]; ry(0.921855235715241) q[9]; cx q[2], q[9]; ry(-0.9218552357152411) q[9]; cx q[2], q[9]; cx q[2], q[8]; ry(-0.5271798177851682) q[8]; cx q[2], q[8]; cx q[2], q[7]; ry(0.010963160987519044) q[7]; cx q[2], q[7]; cx q[2], q[6]; ry(-1.2252611082376736) q[6]; cx q[2], q[6]; cx q[2], q[5]; ry(0.00028298992295780023) q[5]; cx q[2], q[5]; cx q[2], q[4]; ry(-0.004769746069121325) q[4]; cx q[2], q[4]; cx q[2], q[3]; ry(0.004302488745332106) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(0.0036233080955888394) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(-0.0036233080955888394) q[1]; rz(-pi/2) q[1]; ry(0.0008598368716230603) q[0]; cx q[2], q[0]; ry(-0.0008598368716230602) q[0]; rz(pi/2) q[2]; ry(-0.004302488745332106) q[3]; ry(0.004769746069121325) q[4]; ry(-0.0002829899229578002) q[5]; ry(1.2252611082376734) q[6]; ry(-0.010963160987519044) q[7]; ry(0.5271798177851682) q[8]; ry(0.921855235715241) q[9]; cx q[1], q[9]; ry(-0.9218552357152411) q[9]; cx q[1], q[9]; cx q[1], q[8]; ry(-0.5271798177851682) q[8]; cx q[1], q[8]; cx q[1], q[7]; ry(0.010963160987519044) q[7]; cx q[1], q[7]; cx q[1], q[6]; ry(-1.2252611082376736) q[6]; cx q[1], q[6]; cx q[1], q[5]; ry(0.00028298992295780023) q[5]; cx q[1], q[5]; cx q[1], q[4]; ry(-0.004769746069121325) q[4]; cx q[1], q[4]; cx q[1], q[3]; ry(0.004302488745332106) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(0.011335990090399978) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(0.0008598368716230603) q[0]; cx q[1], q[0]; ry(-0.0008598368716230603) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(-0.011335990090399978) q[2]; ry(-0.004302488745332106) q[3]; ry(0.004769746069121325) q[4]; ry(-0.0002829899229578002) q[5]; ry(1.2252611082376734) q[6]; ry(-0.010963160987519044) q[7]; ry(0.5271798177851682) q[8]; ry(0.921855235715241) q[9]; cx q[0], q[9]; ry(-0.9218552357152411) q[9]; cx q[0], q[9]; cx q[0], q[8]; ry(-0.5271798177851682) q[8]; cx q[0], q[8]; cx q[0], q[7]; ry(0.010963160987519044) q[7]; cx q[0], q[7]; cx q[0], q[6]; ry(-1.2252611082376736) q[6]; cx q[0], q[6]; cx q[0], q[5]; ry(0.00028298992295780023) q[5]; cx q[0], q[5]; cx q[0], q[4]; ry(-0.004769746069121325) q[4]; cx q[0], q[4]; cx q[0], q[3]; ry(0.004302488745332106) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(0.011335990090399978) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(0.0036233080955888394) q[1]; cx q[0], q[1]; rx(-0.01863600921622708) q[0]; rz(0.1375429876683183) q[0]; ry(-0.03227261150103196) q[1]; rz(-1.571362306640812) q[1]; ry(0.015749222660511278) q[2]; rz(-1.7322848284136037) q[2]; ry(0.020095019467314026) q[3]; rz(-2.2393746762675617) q[3]; ry(0.02975021920796174) q[4]; rz(-1.921718392405501) q[4]; ry(-0.0161200260589285) q[5]; rz(-1.5624385621366663) q[5]; ry(-0.23001206374416147) q[6]; rz(-1.5987092279657293) q[6]; ry(1.166676282387935) q[7]; rz(-1.024824784577266) q[7]; ry(0.29928798581099425) q[8]; rz(-1.247509609055623) q[8]; ry(0.5472292067002257) q[9]; rz(-1.3192747375336595) q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; crx(x20) q[9], q[8]; crx(x21) q[9], q[7]; crx(x22) q[9], q[6]; crx(x23) q[9], q[5]; crx(x24) q[9], q[4]; crx(x25) q[9], q[3]; crx(x26) q[9], q[2]; crx(x27) q[9], q[1]; crx(x28) q[9], q[0]; crx(x29) q[8], q[9]; crx(x21) q[8], q[7]; crx(x22) q[8], q[6]; crx(x23) q[8], q[5]; crx(x24) q[8], q[4]; crx(x25) q[8], q[3]; crx(x26) q[8], q[2]; crx(x27) q[8], q[1]; crx(x28) q[8], q[0]; crx(x29) q[7], q[9]; crx(x20) q[7], q[8]; crx(x22) q[7], q[6]; crx(x23) q[7], q[5]; crx(x24) q[7], q[4]; crx(x25) q[7], q[3]; crx(x26) q[7], q[2]; crx(x27) q[7], q[1]; crx(x28) q[7], q[0]; crx(x29) q[6], q[9]; crx(x20) q[6], q[8]; crx(x21) q[6], q[7]; crx(x23) q[6], q[5]; crx(x24) q[6], q[4]; crx(x25) q[6], q[3]; crx(x26) q[6], q[2]; crx(x27) q[6], q[1]; crx(x28) q[6], q[0]; crx(x29) q[5], q[9]; crx(x20) q[5], q[8]; crx(x21) q[5], q[7]; crx(x22) q[5], q[6]; crx(x24) q[5], q[4]; crx(x25) q[5], q[3]; crx(x26) q[5], q[2]; crx(x27) q[5], q[1]; crx(x28) q[5], q[0]; crx(x29) q[4], q[9]; crx(x20) q[4], q[8]; crx(x21) q[4], q[7]; crx(x22) q[4], q[6]; crx(x23) q[4], q[5]; crx(x25) q[4], q[3]; crx(x26) q[4], q[2]; crx(x27) q[4], q[1]; crx(x28) q[4], q[0]; crx(x29) q[3], q[9]; crx(x20) q[3], q[8]; crx(x21) q[3], q[7]; crx(x22) q[3], q[6]; crx(x23) q[3], q[5]; crx(x24) q[3], q[4]; crx(x26) q[3], q[2]; crx(x27) q[3], q[1]; crx(x28) q[3], q[0]; crx(x29) q[2], q[9]; crx(x20) q[2], q[8]; crx(x21) q[2], q[7]; crx(x22) q[2], q[6]; crx(x23) q[2], q[5]; crx(x24) q[2], q[4]; crx(x25) q[2], q[3]; crx(x27) q[2], q[1]; crx(x28) q[2], q[0]; crx(x29) q[1], q[9]; crx(x20) q[1], q[8]; crx(x21) q[1], q[7]; crx(x22) q[1], q[6]; crx(x23) q[1], q[5]; crx(x24) q[1], q[4]; crx(x25) q[1], q[3]; crx(x26) q[1], q[2]; crx(x28) q[1], q[0]; crx(x29) q[0], q[9]; crx(x20) q[0], q[8]; crx(x21) q[0], q[7]; crx(x22) q[0], q[6]; crx(x23) q[0], q[5]; crx(x24) q[0], q[4]; crx(x25) q[0], q[3]; crx(x26) q[0], q[2]; crx(x27) q[0], q[1]; rx(x30) q[0]; rz(x31) q[0]; rx(x32) q[1]; rz(x23) q[1]; rx(x33) q[2]; rz(x34) q[2]; rx(x35) q[3]; rz(x36) q[3]; rx(x37) q[4]; rz(x38) q[4]; rx(x39) q[5]; rz(x40) q[5]; rx(x41) q[6]; rz(x8) q[6]; rx(x42) q[7]; rz(x43) q[7]; rx(x44) q[8]; rz(x45) q[8]; rx(x46) q[9]; rz(x47) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"node": 0}
{"circuits": [], "gradients": []}
[ "IIIIIZZIII", "IIIIZZIIII", "IIIIZIZIII", "IIIIIZIIIZ", "IIIIIIZIIZ", "IIIIZIIIIZ", "IIIIIZIIZI", "IIIIIIZIZI", "IIIIZIIIZI", "IIIIIIIIZZ", "IIIIIZIZII", "IIIIIIZZII", "IIIIZIIZII", "IIIIIIIZIZ", "IIIIIIIZZI", "ZIIZIIIIII", "ZIZIIIIIII", "ZZIIIIIIII", "IZIZIIIIII", "IZZIIIIIII"...
[ 1, 1, -2.5, 0.5, 1, 0.5, 0.5, -3, 1, -2, -3.5, -3.5, -3.5, -3, -3, -1.5, 0.5, -2, 0.5, -1.5, -2, -2.5, -2, 0.5, 1, 2, 0.5, 0.5, 0.5, 0.5 ]
0.970357
[ -0.0379855746199412, 0.9522437728765585, 0.027826932370356078, -1.369338409656819, -0.017071400277261763, -2.2081112850880986, 0.008469599218939616, 2.468485737554107, -0.02791290117083253, 1.6536536138800884, 0.01600439310456154, 2.429439975364333, 1.4440212039148899, -0.02973052693593855...
{ "n_parameters": 48, "n_qubits": 10, "optimal_eigenvalue": -27.5, "target_ratio": 0.97, "target_value": -26.675 }
145
b2c25a19a038d07471a5450910ba4971
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]}
{"states": [24, 3], "expectation_value": -1.9224300395397638, "params": [[0.07880000000000001], [-0.0813]], "bitstrings": ["00111", "11100"], "total_optimization_steps": 10, "probabilities": [0.04086295980928291, 0.04209190140312251], "optimization_time": 1.4954886436462402}
1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3)
1
5
1
{"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25}
OPENQASM 3.0; include "stdgates.inc"; qubit[5] q; ry(-0.016234704253647998) q[0]; rz(-pi) q[0]; rz(-pi) q[1]; ry(-0.010386543699948906) q[1]; h q[2]; h q[3]; ry(1.1585700450953158) q[3]; h q[4]; ry(-0.5085847075913551) q[4]; cx q[2], q[4]; ry(0.5085847075913551) q[4]; cx q[2], q[4]; ry(-0.2519288651435193) q[4]; cx q[3], q[4]; ry(0.2519288651435193) q[4]; cx q[3], q[4]; ry(1.1413613771888305) q[2]; cx q[3], q[2]; ry(-0.2723714415718658) q[2]; cx q[3], q[2]; ry(0.14417925861514738) q[3]; cx q[2], q[3]; ry(-0.14417925861514738) q[3]; cx q[2], q[3]; cx q[3], q[1]; ry(0.0010634967431435438) q[1]; cx q[3], q[1]; ry(0.04261884285212599) q[3]; ry(-0.06028794538042684) q[2]; ry(0.05492115803537894) q[1]; ry(-0.27941569527661547) q[4]; cx q[4], q[3]; ry(-0.04261884285212599) q[3]; cx q[4], q[3]; cx q[3], q[0]; cx q[4], q[2]; ry(-0.05381823234929375) q[0]; cx q[3], q[0]; ry(0.06028794538042684) q[2]; cx q[4], q[2]; cx q[2], q[1]; ry(-0.05492115803537894) q[1]; cx q[2], q[1];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; bit[5] c; qubit[5] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[4]; rz(x1) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[1], q[3]; rz(x1) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x1) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x1) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; rz(x2) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x2) q[4]; rz(x4) q[3]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
{"k": 3}
{"circuits": [], "gradients": []}
[ "IIIZZ", "IIZZI", "IIZIZ", "ZIIZI", "ZIIIZ", "ZIZII", "IZIZI", "IZIIZ", "IZZII", "ZZIII", "IIIZI", "IIIIZ", "IIZII", "ZIIII", "IZIII" ]
[ 1.75, 1.75, 1.75, 2, 2, 1.75, 2, 2, 2, 1.75, -2.5, -2.5, -2.75, -2.5, -2.25 ]
0.987557
[ -1.6083798548905424, -1.580119373751702, 1.1585700450953158, -1.0171694151827102, 0.8689899356169645, -0.5038577302870386, 0.5447428831437316, 0.28835851723029476, -0.27941569527661547, -0.0021269934862870876, 0.08523768570425198, -0.12057589076085368, 0.1076364646985875, 0.109842316070757...
{ "n_parameters": 14, "n_qubits": 5, "optimal_eigenvalue": -2.25, "target_ratio": 0.97, "target_value": -2.1825 }
1
5bfd79024282ae69c62758a244a2de56
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]}
{"states": [45, 44], "expectation_value": -1.7549659334196148, "params": [[[0.6078, 0.0024000000000000002], [-0.0067, 0.2852], [0.6032000000000001, -0.0006000000000000001], [0.5691, 0.006200000000000001], [0.0022, -0.2843], [0.4811, -0.0699]], [[0.6077, 0.0024000000000000002], [-0.0044, 0.28550000000000003], [0.6017, -0.0006000000000000001], [0.5699000000000001, 0.006200000000000001], [-0.0058000000000000005, -0.2838], [0.4872, -0.0699]], [[0.6095, 0.001], [0.0008, 0.0047], [0.6098, 0.006], [0.5708, 0.0004], [-0.0048000000000000004, 0.0012000000000000001], [0.48190000000000005, 0.0012000000000000001]]], "bitstrings": ["010010", "010011"], "total_optimization_steps": 60, "probabilities": [0.09692429886880159, 0.12417696976842213], "optimization_time": 13.002082347869873}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5)
1
6
3
{"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"], "largest_eigenvalue": 6.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[6] q; rz(3.040705587759774) q[0]; ry(3.0322761206209288) q[0]; rz(0.23746657912877067) q[0]; rz(-0.5485384081350269) q[1]; ry(0.03463465039766057) q[1]; rz(1.8086014627808424) q[1]; rz(2.1740019225107847) q[2]; ry(2.742027400286282) q[2]; rz(-0.45482682963069987) q[2]; rz(0.8542435914859512) q[3]; ry(2.974738885371605) q[3]; rz(-2.434935164783501) q[3]; rz(0.9585009524060242) q[4]; ry(0.2928116558109382) q[4]; rz(-1.0695052571212011) q[4]; rz(0.2449404966841735) q[5]; ry(0.1628205966228734) q[5]; rz(-1.1180694764949042) q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[0]; rz(x1) q[0]; rx(x13) q[1]; rz(x14) q[1]; rx(x15) q[2]; rz(x5) q[2]; rx(x16) q[3]; rz(x7) q[3]; rx(x17) q[4]; rz(x18) q[4]; rx(x19) q[5]; rz(x11) q[5]; rx(x20) q[0]; rz(x21) q[0]; rx(x22) q[1]; rz(x23) q[1]; rx(x24) q[2]; rz(x25) q[2]; rx(x26) q[3]; rz(x27) q[3]; rx(x28) q[4]; rz(x29) q[4]; rx(x30) q[5]; rz(x29) q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
null
{"circuits": [], "gradients": []}
[ "IIIIZZ", "IIIZZI", "IZIIZI", "IZZIII", "ZZIIII", "ZIZIII", "IIIIZI", "IIIIIZ", "IIIZII", "IZIIII", "IIZIII", "ZIIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1, 0, 0, -1, -0.5, -0.5 ]
0.974004
[ 1.0529037450256176, 0.06477150500217821, 0.0632023087334098, 0.46017332254292537, 1.2192432119969236, 0.14088225722938502, 1.1314918741657554, -0.05745195682464036, -0.04240668812804869, -0.5477397576739919, -0.046155027306700576, -0.6332603826055265, 1.1415462481792484, -0.100403553526293...
{ "n_parameters": 31, "n_qubits": 6, "optimal_eigenvalue": -3, "target_ratio": 0.97, "target_value": -2.91 }
15
9fa2c1c0efc57c7f335d8a3e17939b3e
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}], "edges": [{"weight": 3, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 10}, {"weight": 1, "source": 1, "target": 8}, {"weight": 9, "source": 2, "target": 9}, {"weight": 10, "source": 3, "target": 10}, {"weight": 5, "source": 4, "target": 11}, {"weight": 13, "source": 4, "target": 8}, {"weight": 9, "source": 5, "target": 12}, {"weight": 18, "source": 5, "target": 11}, {"weight": 7, "source": 6, "target": 13}, {"weight": 20, "source": 6, "target": 7}, {"weight": 20, "source": 6, "target": 9}]}
{"states": [2098, 2099], "expectation_value": -92.52201635545805, "params": [[0.8021, 0.1076, 0.0013000000000000002, 0.0025, -0.0748, 0.3791, 0.3014, 0.8004, 0.00030000000000000003, -0.0472, 0.7959, 0.18030000000000002], [0.7959, 0.1388, 0.0017000000000000001, 0.0053, -0.12810000000000002, 0.2802, -0.0158, 0.5661, -0.005200000000000001, -0.0408, 0.792, 0.14450000000000002], [0.7998000000000001, 0.1696, 0.0017000000000000001, -0.0007, 0.09870000000000001, 0.3678, 0.7941, 0.8002, -0.19390000000000002, -0.014, 0.7903, 0.7998000000000001], [0.1971, 0.5671, 0.0017000000000000001, 0.0015, 0.11810000000000001, 0.2741, -0.016900000000000002, 0.1714, 0.0095, 0.18100000000000002, 0.17750000000000002, 0.36970000000000003], [0.38380000000000003, 0.4113, 0.0017000000000000001, 0.004200000000000001, 0.0128, 0.1431, 0.7958000000000001, 0.7971, 0.1995, 0.42250000000000004, 0.7122, 0.7937000000000001]], "bitstrings": ["011111001101", "011111001100"], "total_optimization_steps": 80, "probabilities": [0.12986449608219408, 0.2527343028513867], "optimization_time": 11.05237865447998}
8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(2) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(3) @ Z(11)) + 6.5 * Z(0) + 1.5 * Z(1) + -3.0 * Z(4) + 6.5 * Z(6) + -7.5 * Z(2) + 2.5 * Z(5) + 9.0 * Z(7) + -3.5 * Z(8) + 18.0 * Z(10) + 3.5 * Z(9) + 18.0 * Z(11) + -3.5 * Z(3)
10
12
4
{"smallest_eigenvalues": [-140.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["011111001100"], "largest_eigenvalue": 136.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[12] q; ry(0.7795744299589784) q[0]; ry(-0.049013886906145665) q[1]; ry(-0.32640707188749085) q[2]; ry(-0.1224542782100378) q[3]; ry(-0.2593146057676343) q[4]; ry(-0.16571522729022028) q[5]; ry(0.4658681498730882) q[6]; ry(0.8528135975374067) q[7]; ry(-0.10221739393242962) q[8]; ry(0.0731786205888528) q[9]; ry(0.8458572944021511) q[10]; ry(-0.024152395034628307) q[11]; cz q[11], q[10]; cz q[10], q[9]; ry(1.1519006491566288) q[10]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(0.8458572944021511) q[0]; ry(-0.13225651830668095) q[1]; ry(-0.08246433949184291) q[11]; cz q[11], q[10]; ry(0.07106991872597844) q[2]; ry(-0.1897161901378812) q[3]; ry(-0.1563111164411667) q[4]; ry(0.028613289432971006) q[5]; ry(0.11860338802083922) q[6]; ry(0.38854555761333076) q[7]; ry(0.23602377480983538) q[8]; ry(-0.07823176649393714) q[9]; cz q[10], q[9]; ry(0.4196487419842328) q[10]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(1.4803583317502398) q[0]; ry(0.20227540008418532) q[1]; ry(1.4803583317502398) q[11]; cz q[11], q[10]; ry(0.07106991872597844) q[2]; ry(-0.22625330398231164) q[3]; ry(0.7418640616566972) q[4]; ry(0.031136041820500532) q[5]; ry(0.9615898233142004) q[6]; ry(1.055993329030106) q[7]; ry(-0.32443098941180476) q[8]; ry(-0.27194810990748197) q[9]; cz q[10], q[9]; ry(0.2845699720411218) q[10]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(0.0843399885858144) q[0]; ry(0.436919282163181) q[1]; ry(0.4674636545413523) q[11]; cz q[11], q[10]; ry(0.07106991872597844) q[2]; ry(0.18399260018166438) q[3]; ry(0.07866354039231048) q[4]; ry(-0.1367340828192818) q[5]; ry(-0.45913721533359164) q[6]; ry(0.08922745775912651) q[7]; ry(-0.06974459309048614) q[8]; ry(0.2485205263911532) q[9]; cz q[10], q[9]; ry(0.8125400293834344) q[10]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(0.27029018297519514) q[0]; ry(0.23910039974436803) q[1]; ry(1.3895449335555812) q[11]; ry(0.07106991872597844) q[2]; ry(0.09979951321809115) q[3]; ry(0.011747728876647864) q[4]; ry(0.12056208125288467) q[5]; ry(1.473596808581096) q[6]; ry(0.8377258795170712) q[7]; ry(0.3835463545552393) q[8]; ry(0.29621602668526337) q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x10) q[10]; ry(x11) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(x10) q[0]; ry(x12) q[1]; ry(x13) q[2]; ry(x14) q[3]; ry(x15) q[4]; ry(x16) q[5]; ry(x17) q[6]; ry(x18) q[7]; ry(x19) q[8]; ry(x20) q[9]; ry(x21) q[10]; ry(x22) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(x23) q[0]; ry(x24) q[1]; ry(x13) q[2]; ry(x25) q[3]; ry(x26) q[4]; ry(x27) q[5]; ry(x28) q[6]; ry(x29) q[7]; ry(x30) q[8]; ry(x31) q[9]; ry(x32) q[10]; ry(x23) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(x33) q[0]; ry(x34) q[1]; ry(x13) q[2]; ry(x35) q[3]; ry(x36) q[4]; ry(x37) q[5]; ry(x38) q[6]; ry(x39) q[7]; ry(x40) q[8]; ry(x41) q[9]; ry(x42) q[10]; ry(x43) q[11]; cz q[11], q[10]; cz q[10], q[9]; cz q[9], q[8]; cz q[8], q[7]; cz q[7], q[6]; cz q[6], q[5]; cz q[5], q[4]; cz q[4], q[3]; cz q[3], q[2]; cz q[2], q[1]; cz q[1], q[0]; cz q[0], q[11]; ry(x44) q[0]; ry(x45) q[1]; ry(x13) q[2]; ry(x46) q[3]; ry(x47) q[4]; ry(x48) q[5]; ry(x49) q[6]; ry(x50) q[7]; ry(x51) q[8]; ry(x52) q[9]; ry(x53) q[10]; ry(x54) q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIIIIZZ", "IIIIIIIZIIIZ", "IIIIIZIIIZII", "IIIIIZZIIIII", "IIIIZIZIIIII", "IIIZZIIIIIII", "IZIIIIIIIIZI", "IZZIIIIIIIII", "ZZIIIIIIIIII", "ZIZIIIIIIIII", "ZIIIIIIIZIII", "IIIIIIIIIIIZ", "IIIIIIIIIIZI", "IIIIIIIZIIII", "IIIIIZIIIIII", "IIIIIIIIIZII", "IIIIIIZIIIII", "IIIIZIIII...
[ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6.5, 1.5, -3, 6.5, -7.5, 2.5, 9, -3.5, 18, 3.5, 18, -3.5 ]
0.97369
[ 0.7795744299589784, -0.049013886906145665, -0.32640707188749085, -0.1224542782100378, -0.2593146057676343, -0.16571522729022028, 0.4658681498730882, 0.8528135975374067, -0.10221739393242962, 0.0731786205888528, 0.8458572944021511, -0.024152395034628307, -0.13225651830668095, 0.071069918725...
{ "n_parameters": 55, "n_qubits": 12, "optimal_eigenvalue": -140, "target_ratio": 0.97, "target_value": -135.79999999999998 }
36
01c509cf41fe904ef36f9c73fa58f4df
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]}
{"states": [114, 82], "expectation_value": -2.517551471545384, "params": [[[-0.002, 0.6317], [0.8583000000000001, 0.002], [0.7261000000000001, 0.033], [0.9081, -0.0011], [-0.0033, 0.6711], [0.6959000000000001, 0.0847], [0.8652000000000001, -0.0025], [-0.0022, 0.6512]], [[-0.002, 0.0085], [0.861, 0.0089], [0.7239, 0.0039000000000000003], [0.9037000000000001, 0.0015], [-0.0033, 0.0044], [0.6978000000000001, 0.0091], [0.8676, 0.0002], [-0.0022, 0.0001]]], "bitstrings": ["10001101", "10101101"], "total_optimization_steps": 90, "probabilities": [0.05343266053580899, 0.06810487748785783], "optimization_time": 6.358650207519531}
0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(2) @ Z(3) @ Z(6)) + -0.125 * (Z(2) @ Z(3) @ Z(7)) + -0.125 * (Z(2) @ Z(7) @ Z(6)) + -0.125 * (Z(7) @ Z(3) @ Z(6)) + 0.125 * (Z(2) @ Z(3) @ Z(6) @ Z(7)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.125 * Z(2) + -0.125 * Z(3) + -0.75 * Z(4) + -0.25 * Z(5) + -0.125 * Z(6) + -0.625 * Z(7)
1
8
2
{"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.875, "smallest_bitstrings": ["10101011", "10101101", "11001011", "11001101"], "largest_eigenvalue": 7.125}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; rz(1.6067730635277808) q[0]; ry(0.0068978171400194965) q[0]; rz(-2.165295187823308) q[0]; rz(-0.9320305873596415) q[1]; ry(2.9546423754659843) q[1]; rz(1.5962878589443843) q[1]; rz(1.94887746650212) q[2]; ry(0.10017209095800164) q[2]; rz(-2.4547303306903094) q[2]; rz(-2.0894719372643653) q[3]; ry(3.0046177264326994) q[3]; rz(1.014990715004247) q[3]; rz(-1.4650928940601196) q[4]; ry(0.1461307886962449) q[4]; rz(1.663788828776596) q[4]; rz(-2.1156847465965414) q[5]; ry(0.4802567107449697) q[5]; rz(1.0134099213666161) q[5]; rz(-2.6440893316522853) q[6]; ry(3.0480928676899772) q[6]; rz(0.4344578409803188) q[6]; rz(2.4341827193305727) q[7]; ry(0.1457429790419621) q[7]; rz(-0.031946620540077575) q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x0) q[0]; rz(x16) q[0]; rx(x17) q[1]; rz(x18) q[1]; rx(x19) q[2]; rz(x20) q[2]; rx(x21) q[3]; rz(x22) q[3]; rx(x8) q[4]; rz(x23) q[4]; rx(x24) q[5]; rz(x25) q[5]; rx(x26) q[6]; rz(x27) q[6]; rx(x14) q[7]; rz(x28) q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
[ "IIIIIZZI", "IIIIZIIZ", "IIIZIIZI", "IIZIIIZI", "IIZZIIII", "IIZZIIZI", "IZZIIIII", "IIIIZZII", "IZIIIZII", "ZIIIIZII", "IZIIZIII", "ZIIIZIII", "ZZIIIIII", "IZIIZZII", "ZIIIZZII", "ZZIIIZII", "ZZIIZIII", "ZZIIZZII", "IIIIIIIZ", "IIIIIIZI", "IIIIIZII", "IIIIZIII", "IIIZIII...
[ 0.5, 0.5, 0.25, 0.25, 0.25, -0.25, 0.5, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0.125, -0.125, 0.125, -1, -0.25, -0.125, -0.125, -0.75, -0.25, -0.125, -0.625 ]
0.977898
[ 0.0034511417619457353, 0.07195304533925116, 1.2739833284948667, -0.123054125877101, 0.005011551244307841, 0.3973837165633978, 1.905775237438528, 0.06934632738707407, -0.07347402081215618, 0.21084071151892464, 0.02816020830904334, -0.5182778496141923, 1.303011955708514, 0.0862986415836879, ...
{ "n_parameters": 29, "n_qubits": 8, "optimal_eigenvalue": -3.875, "target_ratio": 0.97, "target_value": -3.75875 }
24
65bd080f0b079dce89fa5bd7d6b7272b
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 7, "target": 10}, {"source": 8, "target": 10}, {"source": 9, "target": 10}]}
{"states": [351, 383], "expectation_value": -10.07804833949893, "params": [0.0025, 1.7386000000000001, 0.0029000000000000002, 0.005200000000000001, -0.626, -0.042, 0.07780000000000001, 0.0055000000000000005, -0.0029000000000000002, 1.492, -0.0026000000000000003, 0.0063, 1.1024, 0.6373, -0.7663000000000001, 0.0013000000000000002, 1.1227, 1.2175, -0.595, 0.009600000000000001, -1.1637, 1.4506000000000001, -0.7808, 0.0095, -1.1660000000000001, 1.6138000000000001, -0.7071000000000001, 0.0011, -1.1129, 1.6654, -0.30360000000000004, 0.001, -1.0877000000000001, 1.7631000000000001, -0.1358, 0.0035, -1.1435, 1.8195000000000001, 0.3539, 0.0023, -0.0015, -0.8053, -0.0027, 1.3969, 1.5795000000000001, -0.4234, -0.4393, -0.5438000000000001, -0.56, -0.6467], "bitstrings": ["1010100000", "1010000000"], "total_optimization_steps": 280, "probabilities": [0.1987328066298074, 0.20028476957743668], "optimization_time": 33.05298686027527}
-1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9)
6
10
1
{"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1010000000"], "largest_eigenvalue": 12.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; rx(-0.00027225825962394305) q[0]; rz(-3.0431956996734595) q[0]; rx(3.1222304006767856) q[1]; rz(1.8034259892602513) q[1]; rx(0.039703114893526764) q[2]; rz(2.5913702759365354) q[2]; rx(1.5847925643990315) q[3]; rz(3.1317059015842705) q[3]; rx(1.5696663804402038) q[4]; rz(-3.0889728212036225) q[4]; rx(3.0757523077294198) q[5]; rz(2.887073929045366) q[5]; rx(-1.9875252049020804) q[6]; rz(-3.028414929665902) q[6]; rx(-1.5806952616457992) q[7]; rz(-2.781629770481934) q[7]; rx(-2.6112776869497796) q[8]; rz(-2.7194696199660333) q[8]; rx(-1.9758944924380988) q[9]; rz(1.9887079399984917) q[9]; cx q[9], q[8]; ry(0.004401511545334085) q[8]; cx q[9], q[8]; cx q[9], q[7]; ry(-0.004401511545334085) q[8]; rz(-pi/2) q[8]; ry(0.06700414110349275) q[7]; cx q[9], q[7]; cx q[9], q[6]; ry(0.14898081329468807) q[6]; cx q[9], q[6]; cx q[9], q[5]; ry(-0.002334669337419556) q[5]; cx q[9], q[5]; cx q[9], q[4]; ry(-0.8647399394040015) q[4]; cx q[9], q[4]; cx q[9], q[3]; ry(-0.8861544055978434) q[3]; cx q[9], q[3]; cx q[9], q[2]; ry(0.0023274671689346165) q[2]; cx q[9], q[2]; cx q[9], q[1]; ry(-0.0015349167717944965) q[1]; cx q[9], q[1]; cx q[9], q[0]; ry(0.001534916771794496) q[1]; ry(0.0003405290237659279) q[0]; cx q[9], q[0]; ry(-0.0003405290237659279) q[0]; rz(pi/2) q[9]; cx q[8], q[9]; ry(0.0521415244837398) q[9]; cx q[8], q[9]; ry(-0.0023274671689346165) q[2]; ry(0.8861544055978435) q[3]; ry(0.8647399394040014) q[4]; ry(0.002334669337419556) q[5]; ry(-0.148980813294688) q[6]; ry(-0.06700414110349275) q[7]; cx q[8], q[7]; ry(0.06700414110349275) q[7]; cx q[8], q[7]; cx q[8], q[6]; ry(-0.06700414110349275) q[7]; rz(-pi/2) q[7]; ry(0.14898081329468807) q[6]; cx q[8], q[6]; cx q[8], q[5]; ry(-0.002334669337419556) q[5]; cx q[8], q[5]; cx q[8], q[4]; ry(-0.8647399394040015) q[4]; cx q[8], q[4]; cx q[8], q[3]; ry(-0.8861544055978434) q[3]; cx q[8], q[3]; cx q[8], q[2]; ry(0.0023274671689346165) q[2]; cx q[8], q[2]; cx q[8], q[1]; ry(-0.0015349167717944965) q[1]; cx q[8], q[1]; cx q[8], q[0]; ry(0.001534916771794496) q[1]; ry(0.0003405290237659279) q[0]; cx q[8], q[0]; ry(-0.0003405290237659279) q[0]; rz(pi/2) q[8]; ry(-0.0023274671689346165) q[2]; ry(0.8861544055978435) q[3]; ry(0.8647399394040014) q[4]; ry(0.002334669337419556) q[5]; ry(-0.148980813294688) q[6]; ry(-0.0521415244837398) q[9]; cx q[7], q[9]; ry(0.0521415244837398) q[9]; cx q[7], q[9]; cx q[7], q[8]; ry(0.004401511545334085) q[8]; cx q[7], q[8]; cx q[7], q[6]; ry(0.14898081329468807) q[6]; cx q[7], q[6]; cx q[7], q[5]; ry(-0.14898081329468807) q[6]; rz(-pi/2) q[6]; ry(-0.002334669337419556) q[5]; cx q[7], q[5]; cx q[7], q[4]; ry(-0.8647399394040015) q[4]; cx q[7], q[4]; cx q[7], q[3]; ry(-0.8861544055978434) q[3]; cx q[7], q[3]; cx q[7], q[2]; ry(0.0023274671689346165) q[2]; cx q[7], q[2]; cx q[7], q[1]; ry(-0.0015349167717944965) q[1]; cx q[7], q[1]; cx q[7], q[0]; ry(0.001534916771794496) q[1]; ry(0.0003405290237659279) q[0]; cx q[7], q[0]; ry(-0.0003405290237659279) q[0]; rz(pi/2) q[7]; ry(-0.0023274671689346165) q[2]; ry(0.8861544055978435) q[3]; ry(0.8647399394040014) q[4]; ry(0.002334669337419556) q[5]; ry(-0.0044015115453340855) q[8]; ry(-0.0521415244837398) q[9]; cx q[6], q[9]; ry(0.0521415244837398) q[9]; cx q[6], q[9]; cx q[6], q[8]; ry(0.004401511545334085) q[8]; cx q[6], q[8]; cx q[6], q[7]; ry(0.06700414110349275) q[7]; cx q[6], q[7]; cx q[6], q[5]; ry(-0.002334669337419556) q[5]; cx q[6], q[5]; cx q[6], q[4]; ry(0.002334669337419556) q[5]; rz(-pi/2) q[5]; ry(-0.8647399394040015) q[4]; cx q[6], q[4]; cx q[6], q[3]; ry(-0.8861544055978434) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(0.0023274671689346165) q[2]; cx q[6], q[2]; cx q[6], q[1]; ry(-0.0015349167717944965) q[1]; cx q[6], q[1]; cx q[6], q[0]; ry(0.001534916771794496) q[1]; ry(0.0003405290237659279) q[0]; cx q[6], q[0]; ry(-0.0003405290237659279) q[0]; rz(pi/2) q[6]; ry(-0.0023274671689346165) q[2]; ry(0.8861544055978435) q[3]; ry(0.8647399394040014) q[4]; ry(-0.06700414110349275) q[7]; ry(-0.0044015115453340855) q[8]; ry(-0.0521415244837398) q[9]; cx q[5], q[9]; ry(0.0521415244837398) q[9]; cx q[5], q[9]; cx q[5], q[8]; ry(0.004401511545334085) q[8]; cx q[5], q[8]; cx q[5], q[7]; ry(0.06700414110349275) q[7]; cx q[5], q[7]; cx q[5], q[6]; ry(0.14898081329468807) q[6]; cx q[5], q[6]; cx q[5], q[4]; ry(-0.8647399394040015) q[4]; cx q[5], q[4]; cx q[5], q[3]; ry(0.8647399394040015) q[4]; rz(-pi/2) q[4]; ry(-0.8861544055978434) q[3]; cx q[5], q[3]; cx q[5], q[2]; ry(0.0023274671689346165) q[2]; cx q[5], q[2]; cx q[5], q[1]; ry(-0.0015349167717944965) q[1]; cx q[5], q[1]; cx q[5], q[0]; ry(0.001534916771794496) q[1]; ry(0.0003405290237659279) q[0]; cx q[5], q[0]; ry(-0.0003405290237659279) q[0]; rz(pi/2) q[5]; ry(-0.0023274671689346165) q[2]; ry(0.8861544055978435) q[3]; ry(-0.148980813294688) q[6]; ry(-0.06700414110349275) q[7]; ry(-0.0044015115453340855) q[8]; ry(-0.0521415244837398) q[9]; cx q[4], q[9]; ry(0.0521415244837398) q[9]; cx q[4], q[9]; cx q[4], q[8]; ry(0.004401511545334085) q[8]; cx q[4], q[8]; cx q[4], q[7]; ry(0.06700414110349275) q[7]; cx q[4], q[7]; cx q[4], q[6]; ry(0.14898081329468807) q[6]; cx q[4], q[6]; cx q[4], q[5]; ry(-0.002334669337419556) q[5]; cx q[4], q[5]; cx q[4], q[3]; ry(-0.8861544055978434) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(0.8861544055978434) q[3]; rz(-pi/2) q[3]; ry(0.0023274671689346165) q[2]; cx q[4], q[2]; cx q[4], q[1]; ry(-0.0015349167717944965) q[1]; cx q[4], q[1]; cx q[4], q[0]; ry(0.001534916771794496) q[1]; ry(0.0003405290237659279) q[0]; cx q[4], q[0]; ry(-0.0003405290237659279) q[0]; rz(pi/2) q[4]; ry(-0.0023274671689346165) q[2]; ry(0.002334669337419556) q[5]; ry(-0.148980813294688) q[6]; ry(-0.06700414110349275) q[7]; ry(-0.0044015115453340855) q[8]; ry(-0.0521415244837398) q[9]; cx q[3], q[9]; ry(0.0521415244837398) q[9]; cx q[3], q[9]; cx q[3], q[8]; ry(0.004401511545334085) q[8]; cx q[3], q[8]; cx q[3], q[7]; ry(0.06700414110349275) q[7]; cx q[3], q[7]; cx q[3], q[6]; ry(0.14898081329468807) q[6]; cx q[3], q[6]; cx q[3], q[5]; ry(-0.002334669337419556) q[5]; cx q[3], q[5]; cx q[3], q[4]; ry(-0.8647399394040015) q[4]; cx q[3], q[4]; cx q[3], q[2]; ry(0.0023274671689346165) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(-0.0023274671689346165) q[2]; rz(-pi/2) q[2]; ry(-0.0015349167717944965) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(0.001534916771794496) q[1]; ry(0.0003405290237659279) q[0]; cx q[3], q[0]; ry(-0.0003405290237659279) q[0]; rz(pi/2) q[3]; ry(0.8647399394040014) q[4]; ry(0.002334669337419556) q[5]; ry(-0.148980813294688) q[6]; ry(-0.06700414110349275) q[7]; ry(-0.0044015115453340855) q[8]; ry(-0.0521415244837398) q[9]; cx q[2], q[9]; ry(0.0521415244837398) q[9]; cx q[2], q[9]; cx q[2], q[8]; ry(0.004401511545334085) q[8]; cx q[2], q[8]; cx q[2], q[7]; ry(0.06700414110349275) q[7]; cx q[2], q[7]; cx q[2], q[6]; ry(0.14898081329468807) q[6]; cx q[2], q[6]; cx q[2], q[5]; ry(-0.002334669337419556) q[5]; cx q[2], q[5]; cx q[2], q[4]; ry(-0.8647399394040015) q[4]; cx q[2], q[4]; cx q[2], q[3]; ry(-0.8861544055978434) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(-0.0015349167717944965) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(0.0015349167717944965) q[1]; rz(-pi/2) q[1]; ry(0.0003405290237659279) q[0]; cx q[2], q[0]; ry(-0.0003405290237659279) q[0]; rz(pi/2) q[2]; ry(0.8861544055978435) q[3]; ry(0.8647399394040014) q[4]; ry(0.002334669337419556) q[5]; ry(-0.148980813294688) q[6]; ry(-0.06700414110349275) q[7]; ry(-0.0044015115453340855) q[8]; ry(-0.0521415244837398) q[9]; cx q[1], q[9]; ry(0.0521415244837398) q[9]; cx q[1], q[9]; cx q[1], q[8]; ry(0.004401511545334085) q[8]; cx q[1], q[8]; cx q[1], q[7]; ry(0.06700414110349275) q[7]; cx q[1], q[7]; cx q[1], q[6]; ry(0.14898081329468807) q[6]; cx q[1], q[6]; cx q[1], q[5]; ry(-0.002334669337419556) q[5]; cx q[1], q[5]; cx q[1], q[4]; ry(-0.8647399394040015) q[4]; cx q[1], q[4]; cx q[1], q[3]; ry(-0.8861544055978434) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(0.0023274671689346165) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(0.0003405290237659279) q[0]; cx q[1], q[0]; ry(-0.0003405290237659279) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(-0.0023274671689346165) q[2]; ry(0.8861544055978435) q[3]; ry(0.8647399394040014) q[4]; ry(0.002334669337419556) q[5]; ry(-0.148980813294688) q[6]; ry(-0.06700414110349275) q[7]; ry(-0.0044015115453340855) q[8]; ry(-0.0521415244837398) q[9]; cx q[0], q[9]; ry(0.0521415244837398) q[9]; cx q[0], q[9]; cx q[0], q[8]; ry(0.004401511545334085) q[8]; cx q[0], q[8]; cx q[0], q[7]; ry(0.06700414110349275) q[7]; cx q[0], q[7]; cx q[0], q[6]; ry(0.14898081329468807) q[6]; cx q[0], q[6]; cx q[0], q[5]; ry(-0.002334669337419556) q[5]; cx q[0], q[5]; cx q[0], q[4]; ry(-0.8647399394040015) q[4]; cx q[0], q[4]; cx q[0], q[3]; ry(-0.8861544055978434) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(0.0023274671689346165) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(-0.0015349167717944965) q[1]; cx q[0], q[1]; rx(-0.016435517429937596) q[0]; rz(-0.6823945146101065) q[0]; ry(0.025502831047070733) q[1]; rz(-1.0982005482151451) q[1]; ry(-0.007258480134170511) q[2]; rz(-2.387358841719286) q[2]; ry(0.6613871316761339) q[3]; rz(-0.9305660881647029) q[3]; ry(-0.20946358852099897) q[4]; rz(-2.2310612090321573) q[4]; ry(0.039286529691939714) q[5]; rz(-1.6597793766697106) q[5]; ry(-0.5606592027434107) q[6]; rz(-0.7908920237831811) q[6]; ry(-1.2259252015811315) q[7]; rz(-1.023250604264259) q[7]; ry(-0.5241249071460173) q[8]; rz(-1.792901351394402) q[8]; ry(-0.6835247971827466) q[9]; rz(-2.0328750505619544) q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; crx(x20) q[9], q[8]; crx(x21) q[9], q[7]; crx(x22) q[9], q[6]; crx(x23) q[9], q[5]; crx(x24) q[9], q[4]; crx(x25) q[9], q[3]; crx(x26) q[9], q[2]; crx(x27) q[9], q[1]; crx(x28) q[9], q[0]; crx(x29) q[8], q[9]; crx(x21) q[8], q[7]; crx(x22) q[8], q[6]; crx(x23) q[8], q[5]; crx(x24) q[8], q[4]; crx(x25) q[8], q[3]; crx(x26) q[8], q[2]; crx(x27) q[8], q[1]; crx(x28) q[8], q[0]; crx(x29) q[7], q[9]; crx(x20) q[7], q[8]; crx(x22) q[7], q[6]; crx(x23) q[7], q[5]; crx(x24) q[7], q[4]; crx(x25) q[7], q[3]; crx(x26) q[7], q[2]; crx(x27) q[7], q[1]; crx(x28) q[7], q[0]; crx(x29) q[6], q[9]; crx(x20) q[6], q[8]; crx(x21) q[6], q[7]; crx(x23) q[6], q[5]; crx(x24) q[6], q[4]; crx(x25) q[6], q[3]; crx(x26) q[6], q[2]; crx(x27) q[6], q[1]; crx(x28) q[6], q[0]; crx(x29) q[5], q[9]; crx(x20) q[5], q[8]; crx(x21) q[5], q[7]; crx(x22) q[5], q[6]; crx(x24) q[5], q[4]; crx(x25) q[5], q[3]; crx(x26) q[5], q[2]; crx(x27) q[5], q[1]; crx(x28) q[5], q[0]; crx(x29) q[4], q[9]; crx(x20) q[4], q[8]; crx(x21) q[4], q[7]; crx(x22) q[4], q[6]; crx(x23) q[4], q[5]; crx(x25) q[4], q[3]; crx(x26) q[4], q[2]; crx(x27) q[4], q[1]; crx(x28) q[4], q[0]; crx(x29) q[3], q[9]; crx(x20) q[3], q[8]; crx(x21) q[3], q[7]; crx(x22) q[3], q[6]; crx(x23) q[3], q[5]; crx(x24) q[3], q[4]; crx(x26) q[3], q[2]; crx(x27) q[3], q[1]; crx(x28) q[3], q[0]; crx(x29) q[2], q[9]; crx(x20) q[2], q[8]; crx(x21) q[2], q[7]; crx(x22) q[2], q[6]; crx(x23) q[2], q[5]; crx(x24) q[2], q[4]; crx(x25) q[2], q[3]; crx(x27) q[2], q[1]; crx(x28) q[2], q[0]; crx(x29) q[1], q[9]; crx(x20) q[1], q[8]; crx(x21) q[1], q[7]; crx(x22) q[1], q[6]; crx(x23) q[1], q[5]; crx(x24) q[1], q[4]; crx(x25) q[1], q[3]; crx(x26) q[1], q[2]; crx(x28) q[1], q[0]; crx(x29) q[0], q[9]; crx(x20) q[0], q[8]; crx(x21) q[0], q[7]; crx(x22) q[0], q[6]; crx(x23) q[0], q[5]; crx(x24) q[0], q[4]; crx(x25) q[0], q[3]; crx(x26) q[0], q[2]; crx(x27) q[0], q[1]; rx(x30) q[0]; rz(x31) q[0]; rx(x32) q[1]; rz(x33) q[1]; rx(x34) q[2]; rz(x35) q[2]; rx(x36) q[3]; rz(x37) q[3]; rx(x38) q[4]; rz(x39) q[4]; rx(x40) q[5]; rz(x41) q[5]; rx(x42) q[6]; rz(x43) q[6]; rx(x44) q[7]; rz(x45) q[7]; rx(x46) q[8]; rz(x47) q[8]; rx(x48) q[9]; rz(x49) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"node": 0}
{"circuits": [], "gradients": []}
[ "IIIIIIIZIZ", "IIIIIZZIII", "IIIZZIIIII", "IIZIIIIIZI", "IZIIIIIIZI", "IZZIIIIIII", "ZIIIIIIIZI", "ZIZIIIIIII", "ZZIIIIIIII", "IIIIIIIZII", "IIIIIIIIIZ", "IIIIIZIIII", "IIIIIIZIII", "IIIZIIIIII", "IIIIZIIIII", "IIIIIIIIZI", "IIZIIIIIII", "IZIIIIIIII", "ZIIIIIIIII" ]
[ -1.5, -1, -1, -2, -2, 0.5, -2, 0.5, 0.5, -1, -1, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5 ]
0.889581
[ -0.00027225825962394305, 1.6691932807112304, -3.160954906502801, 0.23262966246535413, 0.039703114893526764, 1.0205739491416392, 1.5847925643990315, 1.5609095747893744, 1.569666380440204, 1.623416159181067, -3.207432999450167, 1.3162776022504694, -1.9875252049020804, 1.6839740507187875, -...
{ "n_parameters": 50, "n_qubits": 10, "optimal_eigenvalue": -14, "target_ratio": 0.97, "target_value": -13.58 }
500
d3ade3a8101a76a5368810932e8e6702
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 3, "source": 4, "target": 1}, {"capacity": 5, "source": 4, "target": 3}, {"capacity": 2, "source": 4, "target": 6}, {"capacity": 4, "source": 5, "target": 4}, {"capacity": 2, "source": 5, "target": 6}, {"capacity": 1, "source": 6, "target": 2}, {"capacity": 6, "source": 6, "target": 3}, {"capacity": 6, "source": 6, "target": 7}, {"capacity": 6, "source": 7, "target": 1}, {"capacity": 2, "source": 7, "target": 2}, {"capacity": 2, "source": 7, "target": 5}]}
{"states": [0, 1], "expectation_value": -20.433890648082507, "params": [0.0033, 0.0053, 0.0026000000000000003, 0.0054, 0.0023, 0.0061, 0.0023, 0.0009000000000000001, 0.0023, 0.0009000000000000001, 0.0024000000000000002, 0.008400000000000001, 0.0024000000000000002, 0.0051, 0.0023, 0.0054, 1.5991, 0.0058000000000000005, 0.0077, 0.0038, 0.0049, 0.0098, 0.0024000000000000002, 0.0037, 0.0005, 0.0031000000000000003], "bitstrings": ["111111111", "111111110"], "total_optimization_steps": 160, "probabilities": [0.4858396642264147, 0.5141478230919703], "optimization_time": 21.504795789718628}
-0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 3.25 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -2.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.5 * Z(4) + 1.5 * Z(6) + 3.25 * Z(8) + -0.25 * Z(5) + -0.25 * Z(7) + -2.25 * Z(3)
3
9
1
{"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 18.25}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; rx(0.25858899028908977) q[0]; rz(-0.33522664265405666) q[0]; rx(0.08719597345253834) q[1]; rz(-0.10011831809203509) q[1]; rx(-0.11073406163263953) q[2]; rz(0.08571148191659361) q[2]; rx(-0.11073406163263953) q[3]; rz(0.18071642701362478) q[3]; rx(-0.11073406163263955) q[4]; rz(0.1446455269848883) q[4]; rx(0.06971862422190168) q[5]; rz(-0.21895045572190952) q[5]; rx(0.0697186242219017) q[6]; rz(0.26722218490423266) q[6]; rx(-0.11073406163263952) q[7]; rz(-0.25319107788465445) q[7]; rx(3.01758654448913) q[8]; rz(0.2050368789993589) q[8]; cx q[8], q[7]; rz(0.05277595505991095) q[7]; cx q[8], q[7]; cx q[7], q[6]; rz(-0.1308261740070846) q[6]; cx q[7], q[6]; cx q[6], q[5]; rz(0.04911481769913235) q[5]; cx q[6], q[5]; cx q[5], q[4]; rz(-0.03485931211095085) q[4]; cx q[5], q[4]; cx q[4], q[3]; rz(-0.07093021213968773) q[3]; cx q[4], q[3]; cx q[3], q[2]; rz(0.10413790373693058) q[2]; cx q[3], q[2]; cx q[2], q[1]; rz(-0.10029680473270824) q[1]; cx q[2], q[1]; cx q[1], q[0]; rz(-0.06825509090367533) q[0]; cx q[1], q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x4) q[3]; rz(x6) q[3]; rx(x4) q[4]; rz(x6) q[4]; rx(x7) q[5]; rz(x8) q[5]; rx(x7) q[6]; rz(x9) q[6]; rx(x4) q[7]; rz(x3) q[7]; rx(x10) q[8]; rz(x11) q[8]; crz(x12) q[8], q[7]; crz(x13) q[7], q[6]; crz(x14) q[6], q[5]; crz(x7) q[5], q[4]; crz(x15) q[4], q[3]; crz(x16) q[3], q[2]; crz(x17) q[2], q[1]; crz(x18) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"source": 0, "sink": 8}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIIZZI", "IIIIIIZIZ", "IIIIZIIZI", "IIIIZIIIZ", "IIIIZIZII", "IIZIIIIIZ", "IIZIIIZII", "IIZIZIIII", "ZIIIIIIIZ", "IIIZIIIZI", "IIIZZIIII", "IIZZIIIII", "IZIIIIIZI", "IZIIIIZII", "IZZIIIIII", "IZIZIIIII", "IIIIIZIZI", "IIIIZZIII", "IIZIIZIII", "IIIIIIIZI", "...
[ -0.75, -0.25, -0.5, -1.25, -1, -0.5, -0.75, -0.25, -0.5, 3.25, -1.25, -1, -0.5, -2.75, -0.5, -1.5, -0.5, -0.5, -1.25, -1.5, -0.25, -0.25, -1, -0.5, 1.5, 3.25, -0.25, -0.25, -2.25 ]
0.983905
[ 0.25858899028908977, -0.403481733557732, 0.08719597345253832, -0.20041512282474316, -0.11073406163263953, 0.18984938565352297, 0.10978621487393787, 0.0697186242219017, -0.16983563802277707, 0.1363960108971482, 3.01758654448913, 0.2050368789993589, -0.1055519101198219, 0.2616523480141692, ...
{ "n_parameters": 19, "n_qubits": 9, "optimal_eigenvalue": -26.75, "target_ratio": 0.97, "target_value": -25.947499999999998 }
9
3789566374932828419
hypermaxcut
qaoa
{"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1, 3], [2, 3]]}
{"states": [5, 9], "expectation_value": -0.013914694412154316, "params": [[-0.0653], [0.07200000000000001]], "bitstrings": ["1010", "0110"], "total_optimization_steps": 10, "probabilities": [0.06425065708211596, 0.06425065708211598], "optimization_time": 0.7648575305938721}
0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(2)
1
4
1
{"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0110", "0001"], "largest_eigenvalue": 1.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[4] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.39792389473024775) q[0]; cx q[1], q[0]; h q[2]; h q[3]; cx q[1], q[3]; rz(-0.39792389473024775) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.3979238947302477) q[1]; rx(0.8231233233489348) q[1]; rz(-0.39792389473024775) q[3]; cx q[0], q[3]; rz(-0.3979238947302477) q[0]; rx(0.8231233233489348) q[0]; cx q[3], q[2]; rz(-1.4568092248069295) q[2]; cx q[3], q[2]; rz(0.343315251839142) q[2]; rx(0.8231233233489348) q[2]; rz(-0.3979238947302477) q[3]; rx(0.8231233233489348) q[3];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; bit[4] c; qubit[4] q; h q[0]; h q[1]; h q[2]; h q[3]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[3], q[2]; rz(x1) q[2]; cx q[3], q[2]; rz(x0) q[1]; rz(x0) q[0]; rz(x0) q[3]; rz(x2) q[2]; h q[0]; rz(x3) q[0]; h q[0]; h q[1]; rz(x3) q[1]; h q[1]; h q[2]; rz(x3) q[2]; h q[2]; h q[3]; rz(x3) q[3]; h q[3]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3];
null
{"circuits": [], "gradients": []}
[ "IIZZ", "ZIZI", "ZIIZ", "ZZII", "IIZI", "IIIZ", "ZIII", "IZII" ]
[ 0.16666666666666666, 0.16666666666666666, 0.16666666666666666, 0.5, 0.16666666666666666, 0.16666666666666666, 0.16666666666666663, 0 ]
0.755683
[ -0.39792389473024775, -1.4568092248069295, 0.34331525183914197, 0.8231233233489348 ]
{ "n_parameters": 4, "n_qubits": 4, "optimal_eigenvalue": -0.8333333333333333, "target_ratio": 0.97, "target_value": -0.8083333333333332 }
122
bbe36c72142a04c8b1698fed3f77c25c
kclique
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]}
{"states": [19, 17], "expectation_value": -4.285657307330394, "params": [[[1.8785, 0.006200000000000001], [0.4121, 0.003], [0.4005, 0.0027], [1.5250000000000001, 0.0081], [1.7675, 0.0039000000000000003]]], "bitstrings": ["01100", "01110"], "total_optimization_steps": 190, "probabilities": [0.17095867445118992, 0.1873716063597612], "optimization_time": 3.149779796600342}
1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4)
1
5
1
{"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"], "largest_eigenvalue": 31.75}
OPENQASM 3.0; include "stdgates.inc"; qubit[5] q; h q[0]; h q[1]; cx q[1], q[0]; rz(-0.016228639223514973) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(-0.016228639223514973) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.016228639223514973) q[2]; cx q[0], q[2]; rz(-1.196649630207868) q[0]; rx(1.6249956830407981) q[0]; h q[3]; cx q[1], q[3]; rz(-0.016228639223514973) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(-0.016228639223514973) q[3]; cx q[2], q[3]; rz(-1.196649630207868) q[3]; rx(1.6249956830407981) q[3]; h q[4]; cx q[1], q[4]; rz(-0.016228639223514973) q[4]; cx q[1], q[4]; rz(1.522688419965938) q[1]; rx(1.6249956830407981) q[1]; cx q[1], q[0]; rz(-0.8755811242009026) q[0]; cx q[1], q[0]; cx q[2], q[4]; rz(-0.016228639223514973) q[4]; cx q[2], q[4]; rz(1.522688419965938) q[2]; rx(1.6249956830407981) q[2]; cx q[1], q[2]; rz(-0.8755811242009026) q[2]; cx q[1], q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(-0.8755811242009026) q[2]; cx q[0], q[2]; rz(0.23934075973757096) q[0]; rx(0.22077208961471637) q[0]; rz(-0.8755811242009026) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(-0.8755811242009026) q[3]; cx q[2], q[3]; rz(0.23934075973757096) q[3]; rx(0.22077208961471637) q[3]; rz(-1.196649630207868) q[4]; rx(1.6249956830407981) q[4]; cx q[1], q[4]; rz(-0.8755811242009026) q[4]; cx q[1], q[4]; rz(0.7452257823272062) q[1]; rx(0.22077208961471628) q[1]; cx q[2], q[4]; rz(-0.8755811242009026) q[4]; cx q[2], q[4]; rz(0.7452257823272062) q[2]; rx(0.22077208961471628) q[2]; rz(0.23934075973757096) q[4]; rx(0.22077208961471637) q[4];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[5] c; qubit[5] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
{"k": 3}
{"circuits": [], "gradients": []}
[ "IIIZZ", "IIZZI", "IIZIZ", "IZIZI", "IZIIZ", "IZZII", "ZIIZI", "ZIIIZ", "ZIZII", "ZZIII", "IIIZI", "IIIIZ", "IIZII", "IZIII", "ZIIII" ]
[ 1.75, 1.75, 1.75, 1.75, 2, 1.75, 1.75, 2, 1.75, 2, -3, -2.5, -3, -2.5, -2.5 ]
0.981439
[ -0.016228639223514973, 1.522688419965938, -1.1966496302078677, 1.624995683040798, -0.8755811242009026, 0.7452257823272057, 0.2393407597375708, 0.22077208961471634 ]
{ "n_parameters": 8, "n_qubits": 5, "optimal_eigenvalue": -4, "target_ratio": 0.97, "target_value": -3.88 }
31
9101164083063659977
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 6], [1, 3], [0, 1], [1, 5, 7], [2, 7], [8, 6, 7], [0, 3], [0, 2]]}
{"states": [422, 390], "expectation_value": -0.7216074567839683, "params": [0.8037000000000001, -0.0734, 0.805, 0.0012000000000000001, 0.8017000000000001, -0.0534, 0.8043, 0.0016, 0.8046000000000001, 0.1078, 0.7071000000000001, 0.0097, 0.7993, 0.08020000000000001, 0.7185, 0.009000000000000001, 0.7976000000000001, 0.0304, 0.5366000000000001, 0.007200000000000001, 0.7788, 0.15030000000000002, 0.5705, 0.0021000000000000003, 0.8017000000000001, -0.0828, 0.8036000000000001, 0.0025, 0.7983, -0.0786, 0.7987000000000001, 0.0082, 0.8016000000000001, -0.009300000000000001, 0.8003, 0.007, -0.0579, 0.767, -0.31270000000000003, -0.2913, -0.4431, -0.2353, 0.5569000000000001, 0.5466, -0.461], "bitstrings": ["001011001", "001111001"], "total_optimization_steps": 80, "probabilities": [0.04464171349991598, 0.08391799983933214], "optimization_time": 42.325987577438354}
0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.0 * Z(4) + 0.16666666666666652 * Z(1) + 0.16666666666666663 * Z(5) + 0.16666666666666663 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.3333333333333335 * Z(7) + 0.0 * Z(2) + 0.16666666666666666 * Z(8)
6
9
1
{"smallest_eigenvalues": [-3.1666666666666665, -3.1666666666666665, -3.1666666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["001111001", "011000100", "011100100"], "largest_eigenvalue": 5.500000000000001}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; rx(1.3945098608615847) q[0]; rz(1.5422831285643568) q[0]; rx(2.5818405516903677) q[1]; rz(1.6731415753573282) q[1]; rx(-0.027507638906738685) q[2]; rz(1.179697925839502) q[2]; rx(-0.17216722676266857) q[3]; rz(1.5220081579762414) q[3]; rx(-0.11145911116075925) q[4]; rz(2.5079113800141286) q[4]; rx(-0.049290844786553475) q[5]; rz(2.034554884129335) q[5]; rx(2.5818405516903677) q[6]; rz(1.9035283199101745) q[6]; rx(1.9792051755992597) q[7]; rz(1.5983471180603939) q[7]; rx(-0.21372579780799902) q[8]; rz(0.15198196299401837) q[8]; cx q[8], q[7]; ry(0.015564626011454646) q[7]; cx q[8], q[7]; cx q[8], q[6]; ry(-0.015564626011454646) q[7]; rz(-pi/2) q[7]; ry(0.03478056472158385) q[6]; cx q[8], q[6]; cx q[8], q[5]; ry(0.0046428837868676305) q[5]; cx q[8], q[5]; cx q[8], q[4]; ry(0.14358885695180046) q[4]; cx q[8], q[4]; cx q[8], q[3]; ry(0.011984827559852099) q[3]; cx q[8], q[3]; cx q[8], q[2]; ry(0.009119303017280981) q[2]; cx q[8], q[2]; cx q[8], q[1]; ry(0.0022975652855543255) q[1]; cx q[8], q[1]; cx q[8], q[0]; ry(-0.002297565285554326) q[1]; ry(-0.07313795396555421) q[0]; cx q[8], q[0]; ry(0.07313795396555421) q[0]; rz(pi/2) q[8]; cx q[7], q[8]; ry(0.17122428057563463) q[8]; cx q[7], q[8]; ry(-0.009119303017280983) q[2]; ry(-0.011984827559852097) q[3]; ry(-0.1435888569518005) q[4]; ry(-0.0046428837868676305) q[5]; ry(-0.03478056472158385) q[6]; cx q[7], q[6]; ry(0.03478056472158385) q[6]; cx q[7], q[6]; cx q[7], q[5]; ry(-0.03478056472158385) q[6]; rz(-pi/2) q[6]; ry(0.0046428837868676305) q[5]; cx q[7], q[5]; cx q[7], q[4]; ry(0.14358885695180046) q[4]; cx q[7], q[4]; cx q[7], q[3]; ry(0.011984827559852099) q[3]; cx q[7], q[3]; cx q[7], q[2]; ry(0.009119303017280981) q[2]; cx q[7], q[2]; cx q[7], q[1]; ry(0.0022975652855543255) q[1]; cx q[7], q[1]; cx q[7], q[0]; ry(-0.002297565285554326) q[1]; ry(-0.07313795396555421) q[0]; cx q[7], q[0]; ry(0.07313795396555421) q[0]; rz(pi/2) q[7]; ry(-0.009119303017280983) q[2]; ry(-0.011984827559852097) q[3]; ry(-0.1435888569518005) q[4]; ry(-0.0046428837868676305) q[5]; ry(-0.1712242805756346) q[8]; cx q[6], q[8]; ry(0.17122428057563463) q[8]; cx q[6], q[8]; cx q[6], q[7]; ry(0.015564626011454646) q[7]; cx q[6], q[7]; cx q[6], q[5]; ry(0.0046428837868676305) q[5]; cx q[6], q[5]; cx q[6], q[4]; ry(-0.0046428837868676305) q[5]; rz(-pi/2) q[5]; ry(0.14358885695180046) q[4]; cx q[6], q[4]; cx q[6], q[3]; ry(0.011984827559852099) q[3]; cx q[6], q[3]; cx q[6], q[2]; ry(0.009119303017280981) q[2]; cx q[6], q[2]; cx q[6], q[1]; ry(0.0022975652855543255) q[1]; cx q[6], q[1]; cx q[6], q[0]; ry(-0.002297565285554326) q[1]; ry(-0.07313795396555421) q[0]; cx q[6], q[0]; ry(0.07313795396555421) q[0]; rz(pi/2) q[6]; ry(-0.009119303017280983) q[2]; ry(-0.011984827559852097) q[3]; ry(-0.1435888569518005) q[4]; ry(-0.015564626011454646) q[7]; ry(-0.1712242805756346) q[8]; cx q[5], q[8]; ry(0.17122428057563463) q[8]; cx q[5], q[8]; cx q[5], q[7]; ry(0.015564626011454646) q[7]; cx q[5], q[7]; cx q[5], q[6]; ry(0.03478056472158385) q[6]; cx q[5], q[6]; cx q[5], q[4]; ry(0.14358885695180046) q[4]; cx q[5], q[4]; cx q[5], q[3]; ry(-0.14358885695180046) q[4]; rz(-pi/2) q[4]; ry(0.011984827559852099) q[3]; cx q[5], q[3]; cx q[5], q[2]; ry(0.009119303017280981) q[2]; cx q[5], q[2]; cx q[5], q[1]; ry(0.0022975652855543255) q[1]; cx q[5], q[1]; cx q[5], q[0]; ry(-0.002297565285554326) q[1]; ry(-0.07313795396555421) q[0]; cx q[5], q[0]; ry(0.07313795396555421) q[0]; rz(pi/2) q[5]; ry(-0.009119303017280983) q[2]; ry(-0.011984827559852097) q[3]; ry(-0.03478056472158385) q[6]; ry(-0.015564626011454646) q[7]; ry(-0.1712242805756346) q[8]; cx q[4], q[8]; ry(0.17122428057563463) q[8]; cx q[4], q[8]; cx q[4], q[7]; ry(0.015564626011454646) q[7]; cx q[4], q[7]; cx q[4], q[6]; ry(0.03478056472158385) q[6]; cx q[4], q[6]; cx q[4], q[5]; ry(0.0046428837868676305) q[5]; cx q[4], q[5]; cx q[4], q[3]; ry(0.011984827559852099) q[3]; cx q[4], q[3]; cx q[4], q[2]; ry(-0.011984827559852099) q[3]; rz(-pi/2) q[3]; ry(0.009119303017280981) q[2]; cx q[4], q[2]; cx q[4], q[1]; ry(0.0022975652855543255) q[1]; cx q[4], q[1]; cx q[4], q[0]; ry(-0.002297565285554326) q[1]; ry(-0.07313795396555421) q[0]; cx q[4], q[0]; ry(0.07313795396555421) q[0]; rz(pi/2) q[4]; ry(-0.009119303017280983) q[2]; ry(-0.0046428837868676305) q[5]; ry(-0.03478056472158385) q[6]; ry(-0.015564626011454646) q[7]; ry(-0.1712242805756346) q[8]; cx q[3], q[8]; ry(0.17122428057563463) q[8]; cx q[3], q[8]; cx q[3], q[7]; ry(0.015564626011454646) q[7]; cx q[3], q[7]; cx q[3], q[6]; ry(0.03478056472158385) q[6]; cx q[3], q[6]; cx q[3], q[5]; ry(0.0046428837868676305) q[5]; cx q[3], q[5]; cx q[3], q[4]; ry(0.14358885695180046) q[4]; cx q[3], q[4]; cx q[3], q[2]; ry(0.009119303017280981) q[2]; cx q[3], q[2]; cx q[3], q[1]; ry(-0.009119303017280981) q[2]; rz(-pi/2) q[2]; ry(0.0022975652855543255) q[1]; cx q[3], q[1]; cx q[3], q[0]; ry(-0.002297565285554326) q[1]; ry(-0.07313795396555421) q[0]; cx q[3], q[0]; ry(0.07313795396555421) q[0]; rz(pi/2) q[3]; ry(-0.1435888569518005) q[4]; ry(-0.0046428837868676305) q[5]; ry(-0.03478056472158385) q[6]; ry(-0.015564626011454646) q[7]; ry(-0.1712242805756346) q[8]; cx q[2], q[8]; ry(0.17122428057563463) q[8]; cx q[2], q[8]; cx q[2], q[7]; ry(0.015564626011454646) q[7]; cx q[2], q[7]; cx q[2], q[6]; ry(0.03478056472158385) q[6]; cx q[2], q[6]; cx q[2], q[5]; ry(0.0046428837868676305) q[5]; cx q[2], q[5]; cx q[2], q[4]; ry(0.14358885695180046) q[4]; cx q[2], q[4]; cx q[2], q[3]; ry(0.011984827559852099) q[3]; cx q[2], q[3]; cx q[2], q[1]; ry(0.0022975652855543255) q[1]; cx q[2], q[1]; cx q[2], q[0]; ry(-0.0022975652855543255) q[1]; rz(-pi/2) q[1]; ry(-0.07313795396555421) q[0]; cx q[2], q[0]; ry(0.07313795396555421) q[0]; rz(pi/2) q[2]; ry(-0.011984827559852097) q[3]; ry(-0.1435888569518005) q[4]; ry(-0.0046428837868676305) q[5]; ry(-0.03478056472158385) q[6]; ry(-0.015564626011454646) q[7]; ry(-0.1712242805756346) q[8]; cx q[1], q[8]; ry(0.17122428057563463) q[8]; cx q[1], q[8]; cx q[1], q[7]; ry(0.015564626011454646) q[7]; cx q[1], q[7]; cx q[1], q[6]; ry(0.03478056472158385) q[6]; cx q[1], q[6]; cx q[1], q[5]; ry(0.0046428837868676305) q[5]; cx q[1], q[5]; cx q[1], q[4]; ry(0.14358885695180046) q[4]; cx q[1], q[4]; cx q[1], q[3]; ry(0.011984827559852099) q[3]; cx q[1], q[3]; cx q[1], q[2]; ry(0.009119303017280981) q[2]; cx q[1], q[2]; cx q[1], q[0]; ry(-0.07313795396555421) q[0]; cx q[1], q[0]; ry(0.07313795396555421) q[0]; rz(-pi/2) q[0]; rz(pi/2) q[1]; ry(-0.009119303017280983) q[2]; ry(-0.011984827559852097) q[3]; ry(-0.1435888569518005) q[4]; ry(-0.0046428837868676305) q[5]; ry(-0.03478056472158385) q[6]; ry(-0.015564626011454646) q[7]; ry(-0.1712242805756346) q[8]; cx q[0], q[8]; ry(0.17122428057563463) q[8]; cx q[0], q[8]; cx q[0], q[7]; ry(0.015564626011454646) q[7]; cx q[0], q[7]; cx q[0], q[6]; ry(0.03478056472158385) q[6]; cx q[0], q[6]; cx q[0], q[5]; ry(0.0046428837868676305) q[5]; cx q[0], q[5]; cx q[0], q[4]; ry(0.14358885695180046) q[4]; cx q[0], q[4]; cx q[0], q[3]; ry(0.011984827559852099) q[3]; cx q[0], q[3]; cx q[0], q[2]; ry(0.009119303017280981) q[2]; cx q[0], q[2]; cx q[0], q[1]; ry(0.0022975652855543255) q[1]; cx q[0], q[1]; rx(1.2536964976106189) q[0]; rz(0.5509111812374823) q[0]; ry(0.5859398239062626) q[1]; rz(-1.3896815660913742) q[1]; ry(0.15138549106277813) q[2]; rz(-1.3531680786652893) q[2]; ry(0.20556843774095654) q[3]; rz(-2.302873809870353) q[3]; ry(0.9211425618823915) q[4]; rz(-1.5629169728187082) q[4]; ry(0.15415922494476733) q[5]; rz(-1.5252300157392913) q[5]; ry(0.7247436286193223) q[6]; rz(-2.9629764296198986) q[6]; ry(1.2473356030315512) q[7]; rz(-1.6017930683074662) q[7]; ry(1.2527296207226954) q[8]; rz(-0.4324654857354915) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x2) q[6]; rz(x12) q[6]; rx(x13) q[7]; rz(x14) q[7]; rx(x15) q[8]; rz(x16) q[8]; crx(x17) q[8], q[7]; crx(x18) q[8], q[6]; crx(x19) q[8], q[5]; crx(x20) q[8], q[4]; crx(x21) q[8], q[3]; crx(x22) q[8], q[2]; crx(x23) q[8], q[1]; crx(x24) q[8], q[0]; crx(x25) q[7], q[8]; crx(x18) q[7], q[6]; crx(x19) q[7], q[5]; crx(x20) q[7], q[4]; crx(x21) q[7], q[3]; crx(x22) q[7], q[2]; crx(x23) q[7], q[1]; crx(x24) q[7], q[0]; crx(x25) q[6], q[8]; crx(x17) q[6], q[7]; crx(x19) q[6], q[5]; crx(x20) q[6], q[4]; crx(x21) q[6], q[3]; crx(x22) q[6], q[2]; crx(x23) q[6], q[1]; crx(x24) q[6], q[0]; crx(x25) q[5], q[8]; crx(x17) q[5], q[7]; crx(x18) q[5], q[6]; crx(x20) q[5], q[4]; crx(x21) q[5], q[3]; crx(x22) q[5], q[2]; crx(x23) q[5], q[1]; crx(x24) q[5], q[0]; crx(x25) q[4], q[8]; crx(x17) q[4], q[7]; crx(x18) q[4], q[6]; crx(x19) q[4], q[5]; crx(x21) q[4], q[3]; crx(x22) q[4], q[2]; crx(x23) q[4], q[1]; crx(x24) q[4], q[0]; crx(x25) q[3], q[8]; crx(x17) q[3], q[7]; crx(x18) q[3], q[6]; crx(x19) q[3], q[5]; crx(x20) q[3], q[4]; crx(x22) q[3], q[2]; crx(x23) q[3], q[1]; crx(x24) q[3], q[0]; crx(x25) q[2], q[8]; crx(x17) q[2], q[7]; crx(x18) q[2], q[6]; crx(x19) q[2], q[5]; crx(x20) q[2], q[4]; crx(x21) q[2], q[3]; crx(x23) q[2], q[1]; crx(x24) q[2], q[0]; crx(x25) q[1], q[8]; crx(x17) q[1], q[7]; crx(x18) q[1], q[6]; crx(x19) q[1], q[5]; crx(x20) q[1], q[4]; crx(x21) q[1], q[3]; crx(x22) q[1], q[2]; crx(x24) q[1], q[0]; crx(x25) q[0], q[8]; crx(x17) q[0], q[7]; crx(x18) q[0], q[6]; crx(x19) q[0], q[5]; crx(x20) q[0], q[4]; crx(x21) q[0], q[3]; crx(x22) q[0], q[2]; crx(x23) q[0], q[1]; rx(x26) q[0]; rz(x27) q[0]; rx(x28) q[1]; rz(x29) q[1]; rx(x30) q[2]; rz(x31) q[2]; rx(x32) q[3]; rz(x33) q[3]; rx(x34) q[4]; rz(x35) q[4]; rx(x36) q[5]; rz(x37) q[5]; rx(x38) q[6]; rz(x39) q[6]; rx(x40) q[7]; rz(x41) q[7]; rx(x42) q[8]; rz(x43) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"circuits": [], "gradients": []}
[ "IIIIZIIZI", "IIIZIIIZI", "IIZZIIIII", "IIIIIZIZI", "IIIIIIIZZ", "IIIIIZIIZ", "IZIIIIIZI", "IZIZIIIII", "IZZIIIIII", "IIIIIIZIZ", "IZIIIIZII", "ZIZIIIIII", "ZZIIIIIII", "IIIIZIIII", "IIIIIIIZI", "IIIZIIIII", "IIZIIIIII", "IIIIIZIII", "IIIIIIIIZ", "IZIIIIIII", "IIIIIIZII", "...
[ 0.5, 0.16666666666666666, 0.5, 0.5, 0.5, 0.5, 0.16666666666666666, 0.16666666666666666, 0.16666666666666666, 0.5, 0.5, 0.16666666666666666, 0.16666666666666666, 0, 0.16666666666666652, 0.16666666666666663, 0.16666666666666663, 0, 0, 0.3333333333333335, 0, 0.1666666666666666...
0.97096
[ 1.3945098608615845, -0.028513198230540222, 2.5818405516903677, 0.10234524856243174, -0.027507638906738692, -0.39109840095539505, -0.17216722676266855, -0.04878816881865449, -0.11145911116075927, 0.9371150532192308, -0.049290844786553475, 0.46375855733443816, 0.3327319931152782, 1.979205175...
{ "n_parameters": 44, "n_qubits": 9, "optimal_eigenvalue": -3.1666666666666665, "target_ratio": 0.97, "target_value": -3.0716666666666663 }
153
4728709783523296323
hypermaxcut
qaoa
{"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 6], [4, 6], [2, 5], [0, 5], [1, 3], [3, 4], [3, 6], [2, 3], [1, 2], [2, 6], [3, 5], [5, 6]]}
{"states": [11, 116], "expectation_value": -0.16251768022501473, "params": [[0.0779], [-0.0839]], "bitstrings": ["1110100", "0001011"], "total_optimization_steps": 10, "probabilities": [0.008857381869738515, 0.008857381869738515], "optimization_time": 1.9191761016845703}
0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3)
1
7
1
{"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001011", "1110100", "1011001", "0110110", "0101010", "1011100", "0100011", "0100110", "1001001", "1010101"], "largest_eigenvalue": 6.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[5], q[4]; rz(0.45305169247121896) q[4]; cx q[5], q[4]; h q[6]; cx q[5], q[6]; rz(0.45305169247121896) q[6]; cx q[5], q[6]; cx q[4], q[6]; cx q[5], q[2]; rz(0.45305169247121896) q[2]; cx q[5], q[2]; cx q[5], q[0]; rz(0.45305169247121896) q[0]; cx q[5], q[0]; rz(1.1280119949219625e-08) q[0]; rx(-0.5825166221897489) q[0]; cx q[5], q[3]; rz(0.45305169247121896) q[3]; cx q[5], q[3]; rz(1.1280119949219625e-08) q[5]; rx(-0.5825166221897489) q[5]; rz(0.45305169247121896) q[6]; cx q[4], q[6]; cx q[4], q[3]; rz(0.45305169247121896) q[3]; cx q[4], q[3]; rz(1.1280119949219625e-08) q[4]; rx(-0.5825166221897489) q[4]; cx q[6], q[1]; rz(0.45305169247121896) q[1]; cx q[6], q[1]; cx q[6], q[2]; rz(0.45305169247121896) q[2]; cx q[6], q[2]; cx q[1], q[2]; rz(0.45305169247121896) q[2]; cx q[1], q[2]; cx q[6], q[3]; rz(0.45305169247121896) q[3]; cx q[6], q[3]; cx q[1], q[3]; rz(0.45305169247121896) q[3]; cx q[1], q[3]; rz(1.1280119949219625e-08) q[1]; rx(-0.5825166221897489) q[1]; cx q[2], q[3]; rz(0.45305169247121896) q[3]; cx q[2], q[3]; rz(1.1280119949219625e-08) q[2]; rx(-0.5825166221897489) q[2]; rz(1.1280119949219625e-08) q[3]; rx(-0.5825166221897489) q[3]; rz(1.1280119949219625e-08) q[6]; rx(-0.5825166221897489) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[5], q[4]; rz(x0) q[4]; cx q[5], q[4]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x0) q[6]; cx q[4], q[6]; cx q[6], q[1]; rz(x0) q[1]; cx q[6], q[1]; cx q[5], q[2]; rz(x0) q[2]; cx q[5], q[2]; cx q[6], q[2]; rz(x0) q[2]; cx q[6], q[2]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[5], q[0]; rz(x0) q[0]; cx q[5], q[0]; cx q[5], q[3]; rz(x0) q[3]; cx q[5], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; cx q[6], q[3]; rz(x0) q[3]; cx q[6], q[3]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; rz(x1) q[5]; rz(x1) q[4]; rz(x1) q[6]; rz(x1) q[1]; rz(x1) q[2]; rz(x1) q[0]; rz(x1) q[3]; h q[0]; rz(x2) q[0]; h q[0]; h q[1]; rz(x2) q[1]; h q[1]; h q[2]; rz(x2) q[2]; h q[2]; h q[3]; rz(x2) q[3]; h q[3]; h q[4]; rz(x2) q[4]; h q[4]; h q[5]; rz(x2) q[5]; h q[5]; h q[6]; rz(x2) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
null
{"circuits": [], "gradients": []}
[ "IZZIIII", "ZZIIIII", "ZIZIIII", "ZIIIIZI", "IZIIZII", "ZIIIZII", "IIIIZZI", "IZIIIIZ", "IZIZIII", "IIZZIII", "ZIIZIII", "IIIZIZI", "IIIZZII", "IZIIIII", "IIZIIII", "ZIIIIII", "IIIIIZI", "IIIIZII", "IIIIIIZ", "IIIZIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0, 0, 0, 0, 0, 0, 0 ]
0.535202
[ 0.45305169247121896, 1.1280119820141807e-8, -0.582516622189749 ]
{ "n_parameters": 3, "n_qubits": 7, "optimal_eigenvalue": -2.5, "target_ratio": 0.97, "target_value": -2.425 }
88
a884f7f979bc9550bc1068bc7a23bbd8
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 6, "target": 7}]}
{"states": [248, 249], "expectation_value": -3.47047540589056, "params": [0.8014, 0.0035, 0.8028000000000001, 0.0026000000000000003, 0.8046000000000001, 0.001, 0.8096, -0.0082, 0.8074, -0.0206, 0.3623, -0.2442, 0.04, 0.4132, 0.8009000000000001, -0.0017000000000000001, 0.8073, 0.0041, 0.7987000000000001, -0.0011, 0.7994, -0.0022, 0.8029000000000001, 0.0148, 0.8048000000000001, -0.0358, 0.3433, 0.0375, 0.06720000000000001, -0.23020000000000002, 0.808, 0.0006000000000000001, 0.4294, 0.6477, 0.624, 0.6472, -0.7894, 0.7619, -0.028, 0.7896000000000001, 0.7952, 0.7914, 0.792, -0.7853, 0.5647, -0.1499], "bitstrings": ["00000111", "00000110"], "total_optimization_steps": 80, "probabilities": [0.16044190766881386, 0.17341814630385619], "optimization_time": 21.321868419647217}
0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) + -0.5 * Z(4) + 0.0 * Z(7)
4
8
2
{"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000110"], "largest_eigenvalue": 6.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; rx(0.2648878091128273) q[0]; rz(1.5636689827526427) q[0]; rx(1.8504164641626257) q[1]; rz(1.3912198847357837) q[1]; rx(1.2190732896131398) q[2]; rz(1.2412942078483367) q[2]; rx(0.4939393128989308) q[3]; rz(1.9865574045296857) q[3]; rx(1.0237781573696836) q[4]; rz(1.6763977709708593) q[4]; rx(0.2077407730150577) q[5]; rz(0.9614533344204306) q[5]; rx(-0.21260252796349172) q[6]; rz(2.0740187072020113) q[6]; rx(1.0091130946232787) q[7]; rz(-0.22321276316190877) q[7]; cx q[7], q[6]; ry(0.03636225672172992) q[6]; cx q[7], q[6]; ry(-0.03636225672172992) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(-0.16604413855951894) q[5]; cx q[6], q[5]; ry(0.16604413855951894) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(0.8638145527403797) q[4]; cx q[5], q[4]; ry(-0.8638145527403797) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(0.06387988083428492) q[3]; cx q[4], q[3]; ry(-0.06387988083428492) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(0.1379228146942789) q[2]; cx q[3], q[2]; ry(-0.1379228146942789) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(-0.14540790170239803) q[1]; cx q[2], q[1]; ry(0.14540790170239803) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(-0.12837844504141094) q[0]; cx q[1], q[0]; ry(1.5761952750467878) q[0]; rz(-0.01851919948262193) q[0]; rx(1.0146329153877394) q[1]; rz(2.265819847646762) q[1]; rx(0.8253862764566723) q[2]; rz(1.7467240860059396) q[2]; rx(2.065331808608217) q[3]; rz(1.3537060157180871) q[3]; rx(1.888369543657193) q[4]; rz(1.4485905967879997) q[4]; rx(-0.007005810006967699) q[5]; rz(1.8949715704621077) q[5]; rx(0.13853012210348892) q[6]; rz(0.6911064637199082) q[6]; rx(2.255213063979184) q[7]; rz(0.12523202863898886) q[7]; cx q[7], q[6]; ry(-0.04769591321811244) q[6]; cx q[7], q[6]; ry(0.04769591321811244) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(-0.21105811055403526) q[5]; cx q[6], q[5]; ry(0.21105811055403526) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(0.6672079466386319) q[4]; cx q[5], q[4]; ry(-0.6672079466386319) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(-0.38941894091665064) q[3]; cx q[4], q[3]; ry(0.38941894091665064) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(-0.6681010113291405) q[2]; cx q[3], q[2]; ry(0.6681010113291405) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(-0.306784189453048) q[1]; cx q[2], q[1]; ry(0.306784189453048) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(-0.6895933832345184) q[0]; cx q[1], q[0]; ry(0.6895933832345184) q[0]; rz(-pi/2) q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crx(x16) q[7], q[6]; crx(x17) q[6], q[5]; crx(x18) q[5], q[4]; crx(x19) q[4], q[3]; crx(x20) q[3], q[2]; crx(x21) q[2], q[1]; crx(x22) q[1], q[0]; rx(x23) q[0]; rz(x24) q[0]; rx(x25) q[1]; rz(x26) q[1]; rx(x27) q[2]; rz(x28) q[2]; rx(x29) q[3]; rz(x30) q[3]; rx(x31) q[4]; rz(x32) q[4]; rx(x33) q[5]; rz(x34) q[5]; rx(x35) q[6]; rz(x36) q[6]; rx(x37) q[7]; rz(x38) q[7]; crx(x39) q[7], q[6]; crx(x40) q[6], q[5]; crx(x41) q[5], q[4]; crx(x42) q[4], q[3]; crx(x43) q[3], q[2]; crx(x44) q[2], q[1]; crx(x45) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
[ "IZIIIIIZ", "IZIIIIZI", "IIZIIZII", "IZIIZIII", "IZIZIIII", "IIZZIIII", "ZZIIIIII", "IZIIIIII", "IIIIIIIZ", "IIIIIIZI", "IIZIIIII", "IIIIIZII", "IIIIZIII", "IIIZIIII", "ZIIIIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -2, 0, 0, -0.5, 0, 0, -0.5, 0 ]
0.976555
[ 0.2648878091128273, -0.0071273440422539025, 1.8504164641626255, -0.1795764420591127, 1.2190732896131398, -0.3295021189465598, 0.4939393128989308, 0.4157610777347894, 1.0237781573696834, 0.105601444175963, 0.20774077301505772, -0.6093429923744663, -0.21260252796349172, 0.5032223804071148, ...
{ "n_parameters": 46, "n_qubits": 8, "optimal_eigenvalue": -5.5, "target_ratio": 0.97, "target_value": -5.335 }
44
0ae9b6f2b61290137ab22e2dafb0c164
hamiltonian_path
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": 2, "target": 3}, {"weight": 29, "source": 2, "target": 4}, {"weight": 5, "source": 3, "target": 4}]}
{"states": [238, 350], "expectation_value": -2.1510214311991946, "params": [[-0.06330000000000001, -0.0551, -0.0485, -0.0644], [0.0776, 0.0723, 0.0649, 0.07100000000000001]], "bitstrings": ["100010001", "010100001"], "total_optimization_steps": 10, "probabilities": [0.006324183771484596, 0.006324183771484597], "optimization_time": 12.842346668243408}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.0 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 1.0 * Z(3) + 1.0 * Z(4) + 1.0 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8)
1
9
4
{"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[5] q; ry(-2.877107649955667) q[0]; rz(-pi) q[0]; ry(-0.05357145502017478) q[1]; rz(-pi) q[1]; h q[2]; ry(1.2987883161683555) q[2]; ry(-0.03652883594563631) q[3]; rz(-pi) q[3]; cx q[2], q[3]; ry(0.008100928029173525) q[3]; cx q[2], q[3]; ry(-0.03652883594563631) q[4]; rz(-pi) q[4]; cx q[2], q[4]; ry(0.008100928029173525) q[4]; cx q[2], q[4]; cx q[2], q[0]; ry(-0.007523006992415024) q[0]; cx q[2], q[0]; ry(0.10475426563749954) q[2]; cx q[0], q[2]; ry(-0.10475426563749954) q[2]; cx q[0], q[2]; cx q[2], q[1]; ry(-0.030569431037679968) q[1]; cx q[2], q[1];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(x0) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(x0) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(x0) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x0) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(x0) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(x0) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(x0) q[8]; cx q[7], q[8]; rz(x1) q[1]; rz(x1) q[0]; rz(x1) q[2]; rz(x1) q[3]; rz(x1) q[4]; rz(x1) q[5]; rz(x1) q[6]; rz(x1) q[7]; rz(x1) q[8]; h q[0]; rz(x2) q[0]; h q[0]; h q[1]; rz(x2) q[1]; h q[1]; h q[2]; rz(x2) q[2]; h q[2]; h q[3]; rz(x2) q[3]; h q[3]; h q[4]; rz(x2) q[4]; h q[4]; h q[5]; rz(x2) q[5]; h q[5]; h q[6]; rz(x2) q[6]; h q[6]; h q[7]; rz(x2) q[7]; h q[7]; h q[8]; rz(x2) q[8]; h q[8]; cx q[1], q[0]; rz(x3) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x3) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x3) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x3) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x3) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x3) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x3) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x3) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x3) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(x3) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(x3) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(x3) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(x3) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x3) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x3) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(x3) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(x3) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(x3) q[8]; cx q[7], q[8]; rz(x4) q[1]; rz(x4) q[0]; rz(x4) q[2]; rz(x4) q[3]; rz(x4) q[4]; rz(x4) q[5]; rz(x4) q[6]; rz(x4) q[7]; rz(x4) q[8]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; h q[7]; rz(x5) q[7]; h q[7]; h q[8]; rz(x5) q[8]; h q[8]; cx q[1], q[0]; rz(x6) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x6) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x6) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x6) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x6) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x6) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x6) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x6) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x6) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(x6) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(x6) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(x6) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(x6) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x6) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x6) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(x6) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(x6) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(x6) q[8]; cx q[7], q[8]; rz(x7) q[1]; rz(x7) q[0]; rz(x7) q[2]; rz(x7) q[3]; rz(x7) q[4]; rz(x7) q[5]; rz(x7) q[6]; rz(x7) q[7]; rz(x7) q[8]; h q[0]; rz(x8) q[0]; h q[0]; h q[1]; rz(x8) q[1]; h q[1]; h q[2]; rz(x8) q[2]; h q[2]; h q[3]; rz(x8) q[3]; h q[3]; h q[4]; rz(x8) q[4]; h q[4]; h q[5]; rz(x8) q[5]; h q[5]; h q[6]; rz(x8) q[6]; h q[6]; h q[7]; rz(x8) q[7]; h q[7]; h q[8]; rz(x8) q[8]; h q[8]; cx q[1], q[0]; rz(x9) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x9) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x9) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x9) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x9) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x9) q[4]; cx q[3], q[4]; cx q[2], q[5]; rz(x9) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x9) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x9) q[5]; cx q[4], q[5]; cx q[0], q[6]; rz(x9) q[6]; cx q[0], q[6]; cx q[3], q[6]; rz(x9) q[6]; cx q[3], q[6]; cx q[1], q[7]; rz(x9) q[7]; cx q[1], q[7]; cx q[4], q[7]; rz(x9) q[7]; cx q[4], q[7]; cx q[6], q[7]; rz(x9) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x9) q[8]; cx q[2], q[8]; cx q[5], q[8]; rz(x9) q[8]; cx q[5], q[8]; cx q[6], q[8]; rz(x9) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(x9) q[8]; cx q[7], q[8]; rz(x10) q[1]; rz(x10) q[0]; rz(x10) q[2]; rz(x10) q[3]; rz(x10) q[4]; rz(x10) q[5]; rz(x10) q[6]; rz(x10) q[7]; rz(x10) q[8]; h q[0]; rz(x11) q[0]; h q[0]; h q[1]; rz(x11) q[1]; h q[1]; h q[2]; rz(x11) q[2]; h q[2]; h q[3]; rz(x11) q[3]; h q[3]; h q[4]; rz(x11) q[4]; h q[4]; h q[5]; rz(x11) q[5]; h q[5]; h q[6]; rz(x11) q[6]; h q[6]; h q[7]; rz(x11) q[7]; h q[7]; h q[8]; rz(x11) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"start_node": 0, "end_node": 4}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIIZZI", "IIIIIIZIZ", "IIIIIZIIZ", "IIIIZIIZI", "IIIIZZIII", "IIIZIIZII", "IIIZIZIII", "IIIZZIIII", "IIZIIIIIZ", "IIZIIZIII", "IZIIIIIZI", "IZIIZIIII", "IZZIIIIII", "ZIIIIIZII", "ZIIZIIIII", "ZIZIIIIII", "ZZIIIIIII", "IIIIIIIZI", "IIIIIIIIZ", "IIIIIIZII", "...
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
0.99193
[ -1.547794302812402, -1.5261665628200867, 1.2987883161683555, -0.01620185605834705, 0.015046013984830048, 0.20950853127499908, 0.061138862075359936 ]
{ "n_parameters": 7, "n_qubits": 5, "optimal_eigenvalue": -3, "target_ratio": 0.97, "target_value": -2.91 }
1
ed46de376d1660326c9e503ea9950a07
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "target": 4}]}
{"states": [5, 3], "expectation_value": -6.322616460637875, "params": [[0.057], [-0.0594]], "bitstrings": ["1111010", "1111100"], "total_optimization_steps": 10, "probabilities": [0.011044401979064408, 0.011563339122030867], "optimization_time": 2.3300156593322754}
2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + -10.0 * Z(1) + -10.0 * Z(0) + -10.5 * Z(2) + -10.0 * Z(3) + -10.0 * Z(4) + -9.25 * Z(5) + -9.25 * Z(6)
18
7
1
{"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; cx q[1], q[0]; rz(0.06885345192683487) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(0.06885345192683487) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.06885345192683487) q[2]; cx q[0], q[2]; h q[3]; cx q[1], q[3]; rz(0.06885345192683487) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.06885345192683487) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.06885345192683487) q[3]; cx q[2], q[3]; h q[4]; cx q[1], q[4]; rz(0.06885345192683487) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.06885345192683487) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.06885345192683487) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.06885345192683487) q[4]; cx q[3], q[4]; h q[5]; cx q[1], q[5]; rz(0.22761518371396905) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.22761518371396905) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.06885345192683487) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.22761518371396905) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.22761518371396905) q[5]; cx q[4], q[5]; h q[6]; cx q[1], q[6]; rz(0.22761518371396905) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(1.669310720340774) q[1]; rx(0.46345917959819144) q[1]; rz(0.22761518371396905) q[6]; cx q[0], q[6]; rz(1.669310720340774) q[0]; rx(0.46345917959819144) q[0]; cx q[1], q[0]; rz(-0.0049250157682909634) q[0]; cx q[1], q[0]; cx q[2], q[6]; rz(0.06885345192683487) q[6]; cx q[2], q[6]; rz(1.8112030378322537) q[2]; rx(0.46345917959819155) q[2]; cx q[1], q[2]; rz(-0.0049250157682909634) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.0049250157682909634) q[2]; cx q[0], q[2]; cx q[3], q[6]; rz(0.22761518371396905) q[6]; cx q[3], q[6]; rz(1.669310720340774) q[3]; rx(0.46345917959819144) q[3]; cx q[1], q[3]; rz(-0.0049250157682909634) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.0049250157682909634) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-0.0049250157682909634) q[3]; cx q[2], q[3]; cx q[4], q[6]; rz(0.22761518371396905) q[6]; cx q[4], q[6]; rz(1.669310720340774) q[4]; rx(0.46345917959819144) q[4]; cx q[1], q[4]; rz(-0.0049250157682909634) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.0049250157682909634) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(-0.0049250157682909634) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(-0.0049250157682909634) q[4]; cx q[3], q[4]; cx q[5], q[6]; rz(0.22761518371396905) q[6]; cx q[5], q[6]; rz(-0.669455584120703) q[5]; rx(0.4634591795981916) q[5]; cx q[1], q[5]; rz(-0.1730709160346522) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(-0.1730709160346522) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(-0.0049250157682909634) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(-0.1730709160346522) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.1730709160346522) q[5]; cx q[4], q[5]; rz(-0.669455584120703) q[6]; rx(0.4634591795981916) q[6]; cx q[1], q[6]; rz(-0.1730709160346522) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.04638308318755824) q[1]; rx(1.037231169956124) q[1]; rz(-0.1730709160346522) q[6]; cx q[0], q[6]; rz(0.04638308318755824) q[0]; rx(1.037231169956124) q[0]; cx q[1], q[0]; rz(0.5016828164711846) q[0]; cx q[1], q[0]; cx q[2], q[6]; rz(-0.0049250157682909634) q[6]; cx q[2], q[6]; rz(-0.13700343575253626) q[2]; rx(1.0372311699561239) q[2]; cx q[1], q[2]; rz(0.5016828164711846) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.5016828164711846) q[2]; cx q[0], q[2]; cx q[3], q[6]; rz(-0.1730709160346522) q[6]; cx q[3], q[6]; rz(0.04638308318755824) q[3]; rx(1.037231169956124) q[3]; cx q[1], q[3]; rz(0.5016828164711846) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.5016828164711846) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.5016828164711846) q[3]; cx q[2], q[3]; cx q[4], q[6]; rz(-0.1730709160346522) q[6]; cx q[4], q[6]; rz(0.04638308318755824) q[4]; rx(1.037231169956124) q[4]; cx q[1], q[4]; rz(0.5016828164711846) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.5016828164711846) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.5016828164711846) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.5016828164711846) q[4]; cx q[3], q[4]; cx q[5], q[6]; rz(-0.1730709160346522) q[6]; cx q[5], q[6]; rz(-0.6684023739074303) q[5]; rx(1.0372311699561239) q[5]; cx q[1], q[5]; rz(0.47691842854795186) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.47691842854795186) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.5016828164711846) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.47691842854795186) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.47691842854795186) q[5]; cx q[4], q[5]; rz(-0.6684023739074303) q[6]; rx(1.0372311699561239) q[6]; cx q[1], q[6]; rz(0.47691842854795186) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.5194492368166852) q[1]; rx(-0.1857817980552983) q[1]; rz(0.47691842854795186) q[6]; cx q[0], q[6]; rz(0.5194492368166852) q[0]; rx(-0.1857817980552983) q[0]; cx q[2], q[6]; rz(0.5016828164711846) q[6]; cx q[2], q[6]; rz(-0.24419340920799426) q[2]; rx(-0.1857817980552983) q[2]; cx q[3], q[6]; rz(0.47691842854795186) q[6]; cx q[3], q[6]; rz(0.5194492368166852) q[3]; rx(-0.1857817980552983) q[3]; cx q[4], q[6]; rz(0.47691842854795186) q[6]; cx q[4], q[6]; rz(0.5194492368166852) q[4]; rx(-0.1857817980552983) q[4]; cx q[5], q[6]; rz(0.47691842854795186) q[6]; cx q[5], q[6]; rz(-0.3598648374509783) q[5]; rx(-0.1857817980552983) q[5]; rz(-0.3598648374509783) q[6]; rx(-0.1857817980552983) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x1) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x1) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x1) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x1) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x1) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x0) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x1) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x1) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x1) q[6]; cx q[5], q[6]; rz(x2) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x2) q[3]; rz(x2) q[4]; rz(x4) q[5]; rz(x4) q[6]; h q[0]; rz(x5) q[0]; h q[0]; h q[1]; rz(x5) q[1]; h q[1]; h q[2]; rz(x5) q[2]; h q[2]; h q[3]; rz(x5) q[3]; h q[3]; h q[4]; rz(x5) q[4]; h q[4]; h q[5]; rz(x5) q[5]; h q[5]; h q[6]; rz(x5) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"k": 5}
{"circuits": [], "gradients": []}
[ "IIIIIZZ", "IIIIZZI", "IIIIZIZ", "IIIZIZI", "IIIZIIZ", "IIIZZII", "IIZIIZI", "IIZIIIZ", "IIZIZII", "IIZZIII", "IZIIIZI", "IZIIIIZ", "IZIIZII", "IZIZIII", "IZZIIII", "ZIIIIZI", "ZIIIIIZ", "ZIIIZII", "ZIIZIII", "ZIZIIII", "ZZIIIII", "IIIIIZI", "IIIIIIZ", "IIIIZII", "III...
[ 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 2.75, 3, 3, 2.75, 3, 3, 3, 3, 2.75, 3, 3, 3, -10, -10, -10.5, -10, -10, -9.25, -9.25 ]
0.975493
[ 0.06885345192683487, 0.22761518371396905, 1.6693107203407738, 1.8112030378322537, -0.6694555841207032, 0.46345917959819155, -0.0049250157682909634, -0.1730709160346522, 0.046383083187558294, -0.13700343575253615, -0.6684023739074303, 1.0372311699561239, 0.5016828164711846, 0.47691842854795...
{ "n_parameters": 18, "n_qubits": 7, "optimal_eigenvalue": -31, "target_ratio": 0.97, "target_value": -30.07 }
39
-7024107008918819001
hypermaxcut
vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 5], [8, 1, 3, 0], [11, 4, 5], [8, 3, 4, 7], [0, 2, 3, 5], [8, 3, 6, 7], [8, 9], [0, 1, 5, 7], [2, 4, 6], [9, 3, 6], [2, 10], [9, 11, 4], [9, 10, 3], [8, 1, 4], [11, 3], [2, 11], [10, 11, 4, 6], [1, 5, 6, 9], [0, 10, 7], [1, 2, 9], [1, 11, 9], [0, 11], [0, 10, 5, 6], [1, 2, 5, 7], [0, 9, 2, 3], [0, 8, 3, 7], [1, 2, 3, 7], [8, 4, 5], [8, 2], [5, 6, 7], [9, 4, 5]]}
{"states": [3309, 3317], "expectation_value": -7.7122972157674905, "params": [1.5767, 1.57, 1.5866, 1.5497, -0.0024000000000000002, -0.0024000000000000002, -0.0025, -0.0025, 1.5653000000000001, 1.5716, 1.5617, 1.5756000000000001, 1.5702, 1.5765, 1.6687, 0.005, 1.5682, 1.5682, 1.6385, 1.5083, -0.0025, -0.0025, 1.853, 1.2937, -0.0029000000000000002, 0.0036000000000000003, 0.0028, 0.0098, -0.003, 0.006500000000000001, 3.1805000000000003, 0.0055000000000000005, 3.1178000000000003, 0.006500000000000001, -0.0022, 0.004, -0.0023, 0.0027, 0.0025, 0.009300000000000001, -3.1382000000000003, 0.0005, -0.0027, 0.0095, 0.0028, 0.0061, -3.0762, 0.003], "bitstrings": ["001100010010", "001100001010"], "total_optimization_steps": 490, "probabilities": [0.4510892261700858, 0.5488353036650275], "optimization_time": 35.536415100097656}
0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.41666666666666663 * (Z(7) @ Z(1)) + 0.25 * (Z(10) @ Z(1)) + 0.16666666666666666 * (Z(10) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(10)) + 0.25 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.41666666666666663 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.41666666666666663 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.25 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(10)) + 0.3333333333333333 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(10)) + 0.25 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(8) @ Z(10)) + 0.25 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(6)) + 0.25 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(11) @ Z(2)) + 0.41666666666666663 * (Z(11) @ Z(1)) + 0.25 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(10)) + 0.41666666666666663 * (Z(11) @ Z(5)) + 0.08333333333333333 * (Z(11) @ Z(0)) + 0.3333333333333333 * (Z(11) @ Z(3)) + 0.3333333333333333 * (Z(11) @ Z(6)) + 0.25 * (Z(11) @ Z(4)) + 0.25 * (Z(11) @ Z(8)) + 0.75 * Z(2) + 1.291666666666667 * Z(1) + 1.458333333333333 * Z(7) + 0.833333333333333 * Z(10) + 1.2083333333333333 * Z(5) + 0.916666666666667 * Z(0) + 0.625 * Z(3) + 1.25 * Z(6) + 1.0833333333333333 * Z(9) + 0.8333333333333335 * Z(4) + 1.0 * Z(8) + 1.2499999999999998 * Z(11)
13
12
1
{"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.666666666666666, "smallest_bitstrings": ["001100001010"], "largest_eigenvalue": 27.999999999999996}
OPENQASM 3.0; include "stdgates.inc"; qubit[12] q; ry(1.5070066202867478) q[0]; rz(-0.025441966744926856) q[0]; ry(1.6252901718861699) q[1]; ry(-0.0791717067740384) q[2]; ry(0.006841788012704273) q[3]; ry(1.7649951329831863) q[4]; ry(1.5352163151193825) q[5]; ry(1.5652454359236518) q[6]; ry(1.8517907668374214) q[7]; ry(1.6758444147965608) q[8]; ry(1.6961849115923564) q[9]; ry(0.006841788012704273) q[10]; ry(1.8198979708116962) q[11]; cx q[11], q[0]; rz(0.025441966744926856) q[0]; cx q[11], q[0]; rz(-1.559168811354101) q[11]; cx q[10], q[11]; rz(1.559168811354101) q[11]; cx q[10], q[11]; rz(-0.015608673266000775) q[10]; cx q[9], q[10]; rz(0.015608673266000775) q[10]; cx q[9], q[10]; rz(0.023644300817429405) q[9]; cx q[8], q[9]; rz(-0.023644300817429405) q[9]; cx q[8], q[9]; rz(-1.630225362671484) q[8]; cx q[7], q[8]; rz(1.630225362671484) q[8]; cx q[7], q[8]; rz(-0.024841457628748915) q[7]; cx q[6], q[7]; rz(0.024841457628748915) q[7]; cx q[6], q[7]; rz(0.010368439862178216) q[6]; cx q[5], q[6]; rz(-0.010368439862178216) q[6]; cx q[5], q[6]; rz(-0.014575422684648953) q[5]; cx q[4], q[5]; rz(0.014575422684648953) q[5]; cx q[4], q[5]; rz(1.6218421123370788) q[4]; cx q[3], q[4]; rz(-1.6218421123370788) q[4]; cx q[3], q[4]; rz(1.5201574901898944) q[3]; cx q[2], q[3]; rz(-1.5201574901898944) q[3]; cx q[2], q[3]; rz(-0.06544554865795735) q[2]; cx q[1], q[2]; rz(0.06544554865795735) q[2]; cx q[1], q[2]; rz(-0.015608673266000775) q[1]; cx q[0], q[1]; rz(0.015608673266000775) q[1]; cx q[0], q[1]; ry(1.7466131227930675) q[0]; ry(1.383280914589354) q[1]; rz(-0.0018197905349096682) q[1]; ry(0.006841788012704273) q[10]; rz(0.05503516321744864) q[10]; ry(1.280571098760413) q[11]; cx q[11], q[10]; rz(-0.05503516321744864) q[10]; cx q[11], q[10]; rz(0.1146691159314517) q[11]; cx q[0], q[11]; rz(-0.1146691159314517) q[11]; cx q[0], q[11]; cx q[0], q[1]; rz(0.0018197905349096682) q[1]; cx q[0], q[1]; rz(0.04255418962940707) q[10]; ry(-0.0791717067740384) q[2]; rz(-0.05056047665649713) q[2]; cx q[1], q[2]; rz(0.05056047665649713) q[2]; cx q[1], q[2]; ry(0.006841788012704273) q[3]; rz(-0.0018197905349096682) q[3]; cx q[2], q[3]; rz(0.0018197905349096682) q[3]; cx q[2], q[3]; ry(1.4661581475917074) q[4]; rz(-0.050478043090564084) q[4]; cx q[3], q[4]; rz(0.050478043090564084) q[4]; cx q[3], q[4]; ry(1.6173176779695337) q[5]; rz(-0.048238285808410504) q[5]; cx q[4], q[5]; rz(0.048238285808410504) q[5]; cx q[4], q[5]; ry(1.6256189915816208) q[6]; rz(-0.02848404023048299) q[6]; cx q[5], q[6]; rz(0.02848404023048299) q[6]; cx q[5], q[6]; ry(-0.08182304733053858) q[7]; rz(0.01564272815055028) q[7]; cx q[6], q[7]; rz(-0.01564272815055028) q[7]; cx q[6], q[7]; ry(1.6758444147965608) q[8]; rz(0.019882680624175284) q[8]; cx q[7], q[8]; rz(-0.019882680624175284) q[8]; cx q[7], q[8]; ry(1.5505017964410965) q[9]; rz(-0.08383388084379857) q[9]; cx q[8], q[9]; rz(0.08383388084379857) q[9]; cx q[8], q[9]; cx q[9], q[10]; rz(-0.04255418962940707) q[10]; cx q[9], q[10];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x9) q[9]; ry(x3) q[10]; ry(x10) q[11]; crz(x11) q[11], q[0]; crz(x12) q[10], q[11]; crz(x13) q[9], q[10]; crz(x14) q[8], q[9]; crz(x15) q[7], q[8]; crz(x16) q[6], q[7]; crz(x17) q[5], q[6]; crz(x18) q[4], q[5]; crz(x19) q[3], q[4]; crz(x20) q[2], q[3]; crz(x21) q[1], q[2]; crz(x13) q[0], q[1]; ry(x22) q[0]; ry(x23) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x24) q[4]; ry(x25) q[5]; ry(x26) q[6]; ry(x27) q[7]; ry(x8) q[8]; ry(x28) q[9]; ry(x3) q[10]; ry(x29) q[11]; crz(x30) q[11], q[10]; crz(x31) q[0], q[11]; crz(x32) q[0], q[1]; crz(x33) q[1], q[2]; crz(x32) q[2], q[3]; crz(x34) q[3], q[4]; crz(x35) q[4], q[5]; crz(x36) q[5], q[6]; crz(x37) q[6], q[7]; crz(x38) q[7], q[8]; crz(x39) q[8], q[9]; crz(x40) q[9], q[10]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIIIZZI", "IIIIZIIIIZII", "IIIIZIIIIIZI", "IZIIIIIIIIZI", "IZIIZIIIIIII", "IIIIIIZIIZII", "IIIIIIZIIIZI", "IIIIZIZIIIII", "IZIIIIZIIIII", "IIIIIIIIIZIZ", "IIIIIIIIIIZZ", "IIIIZIIIIIIZ", "IZIIIIIIIIIZ", "IIIIIIZIIIIZ", "IIIIIIIIZZII", "IIIIIIIIZIZI", "IIIIZIIIZIII", "IIIIIIZIZ...
[ 0.16666666666666666, 0.25, 0.41666666666666663, 0.25, 0.16666666666666666, 0.16666666666666666, 0.16666666666666666, 0.08333333333333333, 0.3333333333333333, 0.25, 0.16666666666666666, 0.25, 0.16666666666666666, 0.3333333333333333, 0.08333333333333333, 0.16666666666666666, 0.16666666...
0.992467
[ 1.5070066202867478, 1.6252901718861699, -0.0791717067740384, 0.006841788012704273, 1.7649951329831863, 1.5352163151193825, 1.5652454359236518, 1.8517907668374214, 1.6758444147965608, 1.6961849115923564, 1.8198979708116962, -0.05088393348985371, -3.118337622708202, -0.03121734653200155, 0...
{ "n_parameters": 41, "n_qubits": 12, "optimal_eigenvalue": -7.75, "target_ratio": 0.97, "target_value": -7.5175 }
1
a580428593ca2a54e0f078f27f8703fa
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 7}, {"capacity": 4, "source": 3, "target": 4}, {"capacity": 5, "source": 3, "target": 6}, {"capacity": 5, "source": 4, "target": 6}, {"capacity": 5, "source": 5, "target": 3}, {"capacity": 2, "source": 5, "target": 6}, {"capacity": 1, "source": 5, "target": 7}]}
{"states": [254, 127], "expectation_value": -2.393754990999338, "params": [[-0.046900000000000004, -0.0472, -0.052700000000000004, -0.0334], [0.06760000000000001, 0.0574, 0.059000000000000004, 0.0526]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.010384827135747645, 0.011515988382045176], "optimization_time": 5.94725227355957}
-0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 1.25 * Z(1) + 0.0 * Z(3) + 1.5 * Z(5) + 0.25 * Z(4) + -3.0 * Z(6)
1
8
4
{"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10001010", "10000010", "10011010"], "largest_eigenvalue": 10.75}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; ry(-0.7323893184553074) q[0]; h q[1]; ry(1.6021768552422677) q[1]; h q[2]; ry(0.8045778722749679) q[2]; h q[3]; ry(0.8154121842764465) q[3]; h q[4]; h q[5]; ry(0.8024040181420935) q[5]; cx q[1], q[5]; ry(-0.8024040181420935) q[5]; cx q[1], q[5]; cx q[5], q[3]; ry(-0.8154121842764465) q[3]; cx q[5], q[3]; cx q[3], q[2]; ry(-0.8045778722749679) q[2]; cx q[3], q[2]; ry(-0.04197416482757555) q[1]; ry(0.22777370581489204) q[2]; rz(-pi) q[6]; ry(-0.11263933733250579) q[6]; h q[7]; ry(0.7098286016123188) q[7]; cx q[5], q[7]; ry(-0.7098286016123188) q[7]; cx q[5], q[7]; cx q[7], q[0]; ry(0.7323893184553074) q[0]; cx q[7], q[0]; ry(-0.10505093410735644) q[0]; cx q[5], q[0]; ry(0.10505093410735644) q[0]; cx q[5], q[0]; cx q[5], q[1]; ry(0.12257874151653207) q[0]; cx q[3], q[0]; ry(-0.12257874151653207) q[0]; cx q[3], q[0]; ry(-0.03850260980918598) q[3]; cx q[2], q[3]; ry(0.03850260980918598) q[3]; cx q[2], q[3]; ry(0.04197416482757555) q[1]; cx q[5], q[1]; ry(0.09519838854373029) q[7]; cx q[7], q[6]; ry(0.04197416482757555) q[6]; cx q[7], q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(x0) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(x1) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(x2) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(x0) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(x3) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x4) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(x2) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(x4) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x3) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x4) q[6]; cx q[4], q[6]; rz(x5) q[2]; rz(x0) q[0]; rz(x6) q[7]; rz(x7) q[1]; rz(x6) q[3]; rz(x8) q[5]; rz(x5) q[4]; rz(x9) q[6]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; h q[7]; rz(x10) q[7]; h q[7]; cx q[2], q[0]; rz(x11) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(x11) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(x12) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(x11) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(x13) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(x11) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(x14) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x15) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(x13) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(x15) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x14) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x15) q[6]; cx q[4], q[6]; rz(x16) q[2]; rz(x11) q[0]; rz(x6) q[7]; rz(x17) q[1]; rz(x6) q[3]; rz(x18) q[5]; rz(x16) q[4]; rz(x19) q[6]; h q[0]; rz(x20) q[0]; h q[0]; h q[1]; rz(x20) q[1]; h q[1]; h q[2]; rz(x20) q[2]; h q[2]; h q[3]; rz(x20) q[3]; h q[3]; h q[4]; rz(x20) q[4]; h q[4]; h q[5]; rz(x20) q[5]; h q[5]; h q[6]; rz(x20) q[6]; h q[6]; h q[7]; rz(x20) q[7]; h q[7]; cx q[2], q[0]; rz(x21) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(x21) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(x22) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(x21) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(x23) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(x21) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(x24) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x25) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(x23) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(x25) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x24) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x25) q[6]; cx q[4], q[6]; rz(x26) q[2]; rz(x21) q[0]; rz(x6) q[7]; rz(x27) q[1]; rz(x6) q[3]; rz(x28) q[5]; rz(x26) q[4]; rz(x29) q[6]; h q[0]; rz(x15) q[0]; h q[0]; h q[1]; rz(x15) q[1]; h q[1]; h q[2]; rz(x15) q[2]; h q[2]; h q[3]; rz(x15) q[3]; h q[3]; h q[4]; rz(x15) q[4]; h q[4]; h q[5]; rz(x15) q[5]; h q[5]; h q[6]; rz(x15) q[6]; h q[6]; h q[7]; rz(x15) q[7]; h q[7]; cx q[2], q[0]; rz(x30) q[0]; cx q[2], q[0]; cx q[2], q[7]; rz(x30) q[7]; cx q[2], q[7]; cx q[0], q[7]; rz(x31) q[7]; cx q[0], q[7]; cx q[2], q[1]; rz(x30) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(x32) q[3]; cx q[1], q[3]; cx q[7], q[5]; rz(x30) q[5]; cx q[7], q[5]; cx q[1], q[5]; rz(x33) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x34) q[5]; cx q[3], q[5]; cx q[3], q[4]; rz(x32) q[4]; cx q[3], q[4]; cx q[3], q[6]; rz(x34) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x33) q[6]; cx q[5], q[6]; cx q[4], q[6]; rz(x34) q[6]; cx q[4], q[6]; rz(x35) q[2]; rz(x30) q[0]; rz(x6) q[7]; rz(x36) q[1]; rz(x6) q[3]; rz(x37) q[5]; rz(x35) q[4]; rz(x38) q[6]; h q[0]; rz(x39) q[0]; h q[0]; h q[1]; rz(x39) q[1]; h q[1]; h q[2]; rz(x39) q[2]; h q[2]; h q[3]; rz(x39) q[3]; h q[3]; h q[4]; rz(x39) q[4]; h q[4]; h q[5]; rz(x39) q[5]; h q[5]; h q[6]; rz(x39) q[6]; h q[6]; h q[7]; rz(x39) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"source": 0, "sink": 7}
{"circuits": [], "gradients": []}
[ "IIIIIZIZ", "ZIIIIZII", "ZIIIIIIZ", "IIIIIZZI", "IIIIZIZI", "ZIZIIIII", "IIZIIIZI", "IIZIZIII", "IIIZZIII", "IZIIZIII", "IZZIIIII", "IZIZIIII", "IIIIIZII", "IIIIIIIZ", "ZIIIIIII", "IIIIIIZI", "IIIIZIII", "IIZIIIII", "IIIZIIII", "IZIIIIII" ]
[ -0.25, -0.25, 0.5, -0.25, -1, -0.25, -0.5, -1.25, -1, -1.25, -0.5, -1.25, 0.25, -0.25, 0, 1.25, 0, 1.5, 0.25, -3 ]
0.993954
[ -1.6414614992998269, 1.6021768552422677, 1.604808036284187, 1.630824368552893, 1.6091557445499358, 1.4196572032246375, -1.4647786369106148, 0.09519838854373029, -0.21010186821471288, 0.22777370581489204, -0.0839483296551511, 0.24515748303306414, -0.07700521961837196 ]
{ "n_parameters": 13, "n_qubits": 8, "optimal_eigenvalue": -8.25, "target_ratio": 0.97, "target_value": -8.0025 }
1
504aff5065c6904e02914f6b44da8a9c
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 4, "source": 3, "target": 2}, {"capacity": 2, "source": 4, "target": 2}, {"capacity": 3, "source": 4, "target": 3}, {"capacity": 3, "source": 4, "target": 5}]}
{"states": [1, 3], "expectation_value": -7.549008648028158, "params": [[[-0.0029000000000000002, 1.1942000000000002], [0.0026000000000000003, 1.1607], [0.0027, 1.3062], [0.0026000000000000003, 1.3317], [-0.8348, -0.0012000000000000001], [1.5665, -0.0033]], [[-0.0029000000000000002, 0.0043], [0.0026000000000000003, 0.003], [0.0027, 0.0059], [0.0026000000000000003, 0.006500000000000001], [-0.8345, 0.0043], [1.5689000000000002, 0.0037]]], "bitstrings": ["111110", "111100"], "total_optimization_steps": 180, "probabilities": [0.4508310161065529, 0.5491371402362479], "optimization_time": 3.913572311401367}
-1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3)
1
6
2
{"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"], "largest_eigenvalue": 10.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[6] q; rz(2.218465923766839) q[0]; ry(0.042765624136427545) q[0]; rz(-0.8061052524417334) q[0]; rz(-1.0112966743957195) q[1]; ry(0.07111683196512385) q[1]; rz(2.066693006610179) q[1]; rz(2.322581491682673) q[2]; ry(0.018049925652938198) q[2]; rz(-0.6171351577780197) q[2]; rz(-0.8888579920196076) q[3]; ry(0.06514939947450701) q[3]; rz(2.2334341942513998) q[3]; rz(-1.7445053785219757) q[4]; ry(2.3323664606238754) q[4]; rz(1.50540678991677) q[4]; rz(-1.8014106456495318) q[5]; ry(3.0535959917509996) q[5]; rz(1.3911787215161295) q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x2) q[3]; rz(x6) q[3]; rx(x7) q[4]; rz(x8) q[4]; rx(x9) q[5]; rz(x10) q[5]; rx(x0) q[0]; rz(x11) q[0]; rx(x2) q[1]; rz(x12) q[1]; rx(x4) q[2]; rz(x13) q[2]; rx(x2) q[3]; rz(x14) q[3]; rx(x15) q[4]; rz(x11) q[4]; rx(x16) q[5]; rz(x17) q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
{"source": 0, "sink": 5}
{"circuits": [], "gradients": []}
[ "IIIIZZ", "IZIIIZ", "ZIIIZI", "ZIIIIZ", "ZZIIII", "IZIZII", "IIZIZI", "IZZIII", "IIZZII", "IIIIZI", "IIIIIZ", "IZIIII", "ZIIIII", "IIIZII", "IIZIII" ]
[ -1.25, -0.5, -1, 2, -0.75, -0.5, -0.75, -0.75, -2.5, -1, -0.25, 1.5, 0.25, 0, -0.5 ]
0.977881
[ 0.02681023544117119, 1.2949933238767635, -0.04194887284367421, 1.1182076517744217, 0.012354700342274504, 1.5034941811146303, 1.3630154095874347, -1.2292150948427067, -0.139794753745842, 1.624751878363779, 0.02009940461632976, 0.11702147738122079, -0.06360297258389466, 0.20187600412910067, ...
{ "n_parameters": 18, "n_qubits": 6, "optimal_eigenvalue": -8, "target_ratio": 0.97, "target_value": -7.76 }
6
a12167d92b99eced507bf6abc58f9b3b
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]}
{"states": [5806, 5870], "expectation_value": -2.778409795494225, "params": [[[1.0027000000000001, -0.0017000000000000001, 0.0039000000000000003, 0.0054], [0.0013000000000000002, -0.32020000000000004, 0.0019, 0.005200000000000001], [0.8803000000000001, -0.0037, 0.0014, -0.001], [0.6106, -0.2437, -0.0727, 0.0029000000000000002], [0.0494, -0.0497, 0.0017000000000000001, -0.0409], [0.7963, -0.0178, 0.8001, 0.01], [-0.3115, 0.0013000000000000002, 0.0034000000000000002, 0.0006000000000000001], [0.5857, -0.0017000000000000001, 0.8666, 0.0], [0.0623, -0.028300000000000002, 0.006900000000000001, -0.026500000000000003], [0.9197000000000001, -0.0092, 0.913, 0.0038], [0.6183000000000001, -0.0041, 0.0016, -0.0132], [0.67, -0.1307, -0.1291, 0.0095], [0.3669, 0.1933, 0.0077, 0.0066]], [[1.0017, -0.0016, 0.0045000000000000005, 0.0028], [0.0017000000000000001, -0.0114, -0.0021000000000000003, 0.0043], [0.5825, -0.0023, 0.0022, -0.0086], [-0.07400000000000001, 0.3603, 0.8449000000000001, 0.009300000000000001], [-0.10450000000000001, 0.006200000000000001, 0.0045000000000000005, 0.0086], [0.36560000000000004, 0.0565, 0.1115, 0.0048000000000000004], [0.5554, 0.0012000000000000001, 0.0013000000000000002, 0.0007], [0.8633000000000001, -0.0175, 0.0074, 0.0039000000000000003], [0.249, 0.11410000000000001, 0.0005, 0.1095], [0.48310000000000003, 0.0103, -0.165, 0.0033], [-0.40640000000000004, 0.0083, 0.0025, -0.0012000000000000001], [-0.015600000000000001, 0.1701, 0.8914000000000001, 0.0036000000000000003], [0.3396, -0.056100000000000004, 0.0035, 0.001]], [[1.0034, 0.0014, 0.0048000000000000004, 0.0048000000000000004], [0.0017000000000000001, -0.18760000000000002, -0.0013000000000000002, 0.00030000000000000003], [0.9953000000000001, 0.001, 0.0048000000000000004, 0.0017000000000000001], [0.8225, -0.2646, -0.1202, 0.0029000000000000002], [0.5831000000000001, 0.008400000000000001, 0.0059, 0.005200000000000001], [0.0325, -0.06570000000000001, 0.1077, 0.0], [1.0041, 0.0076, 0.0021000000000000003, 0.0046], [-0.1032, 0.0339, 0.0429, 0.009300000000000001], [0.6735, 0.0001, 0.0063, 0.0023], [0.317, 0.0274, -0.0137, 0.0045000000000000005], [0.9984000000000001, 0.009300000000000001, 0.0024000000000000002, 0.0078000000000000005], [0.748, -0.1942, -0.012, 0.0054], [0.3416, 0.0043, 0.0044, 0.0013000000000000002]]], "bitstrings": ["0100101010001", "0100100010001"], "total_optimization_steps": 100, "probabilities": [0.16037887120404762, 0.2426474715060878], "optimization_time": 30.507065296173096}
0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(7) @ Z(4) @ Z(5)) + -0.125 * (Z(7) @ Z(4) @ Z(6)) + -0.125 * (Z(7) @ Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(8) @ Z(4)) + 0.25 * (Z(4) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(4) @ Z(9)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(0) @ Z(10)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(5) @ Z(10)) + 0.125 * (Z(8) @ Z(10)) + -0.125 * (Z(8) @ Z(0) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(10)) + -0.125 * (Z(8) @ Z(0) @ Z(10)) + -0.125 * (Z(8) @ Z(5) @ Z(10)) + 0.125 * (Z(8) @ Z(0) @ Z(5) @ Z(10)) + 0.5 * (Z(11) @ Z(1)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(9) @ Z(2)) + 0.0625 * (Z(10) @ Z(2)) + 0.0625 * (Z(12) @ Z(2)) + 0.0625 * (Z(9) @ Z(6)) + 0.0625 * (Z(10) @ Z(6)) + 0.0625 * (Z(12) @ Z(6)) + 0.0625 * (Z(9) @ Z(10)) + 0.0625 * (Z(9) @ Z(12)) + 0.0625 * (Z(12) @ Z(10)) + -0.0625 * (Z(9) @ Z(2) @ Z(6)) + -0.0625 * (Z(2) @ Z(10) @ Z(6)) + -0.0625 * (Z(12) @ Z(2) @ Z(6)) + -0.0625 * (Z(9) @ Z(10) @ Z(2)) + -0.0625 * (Z(9) @ Z(12) @ Z(2)) + -0.0625 * (Z(12) @ Z(10) @ Z(2)) + -0.0625 * (Z(9) @ Z(10) @ Z(6)) + -0.0625 * (Z(9) @ Z(12) @ Z(6)) + -0.0625 * (Z(12) @ Z(10) @ Z(6)) + -0.0625 * (Z(9) @ Z(12) @ Z(10)) + 0.0625 * (Z(9) @ Z(2) @ Z(10) @ Z(6)) + 0.0625 * (Z(9) @ Z(12) @ Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(12) @ Z(10) @ Z(6)) + 0.0625 * (Z(9) @ Z(12) @ Z(10) @ Z(2)) + 0.0625 * (Z(9) @ Z(12) @ Z(10) @ Z(6)) + -0.0625 * (Z(6) @ Z(12) @ Z(2) @ Z(9) @ Z(10)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(11) @ Z(3)) + 0.125 * (Z(12) @ Z(3)) + 0.125 * (Z(7) @ Z(11)) + 0.125 * (Z(7) @ Z(12)) + 0.125 * (Z(11) @ Z(12)) + -0.125 * (Z(7) @ Z(11) @ Z(3)) + -0.125 * (Z(7) @ Z(12) @ Z(3)) + -0.125 * (Z(11) @ Z(12) @ Z(3)) + -0.125 * (Z(7) @ Z(11) @ Z(12)) + 0.125 * (Z(7) @ Z(11) @ Z(12) @ Z(3)) + 0.25 * Z(0) + -0.125 * Z(1) + 0.3125 * Z(2) + 0.25 * Z(3) + 0.125 * Z(4) + 0.25 * Z(5) + 0.3125 * Z(6) + 0.25 * Z(7) + 0.125 * Z(8) + 0.1875 * Z(9) + 0.3125 * Z(10) + -0.125 * Z(11) + 0.3125 * Z(12)
12
13
3
{"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 41, "first_excited_energy": -2.8125, "smallest_bitstrings": ["0001001010010", "1100100000001", "1100000101000", "1010100000010", "1000101000010", "1000100001010", "1000100000110", "1000100000011", "1000010001010", "1000000101010", "1000001010010", "1000001001010", "0110000110000", "0101100000100", "0101010001000", "0101001010000", "0100110000001", "0100100100100", "0100100010001", "0100100000110", "0100100000101", "0100010101000", "0100010010001", "0100010001010", "0100010001001", "0100001110000", "0100000110100", "0100000110001", "0100000101100", "0100001010010", "0100001010001", "0100000111000", "0001010001010", "0010110000010", "0010100010010", "0010100000110", "0010010010010", "0010010001010", "0010001010010", "0010000110010", "0001100000110"], "largest_eigenvalue": 6.1875}
OPENQASM 3.0; include "stdgates.inc"; qubit[13] q; ry(0.7711795064500494) q[0]; rz(-0.026404203268140164) q[0]; ry(-0.10074902148764961) q[1]; rz(-0.25894003279860156) q[1]; cz q[1], q[0]; ry(1.2493231974560228) q[0]; rz(0.0013212152176097502) q[0]; ry(0.10613416276879395) q[1]; ry(0.9442505162235159) q[2]; rz(0.09929995747044852) q[2]; ry(0.3493413706629419) q[3]; rz(-0.2676184730638463) q[3]; cz q[3], q[2]; rz(0.04938376136759093) q[2]; cz q[2], q[1]; ry(0.004771184437433563) q[1]; rz(-0.14435507944263876) q[1]; cz q[1], q[0]; ry(1.1474512592788157) q[0]; rz(0.0333882631531672) q[0]; ry(0.0406708723204145) q[1]; ry(0.9399630861505393) q[2]; rz(-0.6077094632530429) q[2]; ry(-0.1425681984204127) q[3]; ry(0.21843456743659198) q[4]; rz(-0.27261330959162605) q[4]; ry(0.7376427729034467) q[5]; rz(0.11569324165414256) q[5]; cz q[5], q[4]; rz(0.4358219362549125) q[4]; cz q[4], q[3]; ry(-0.2142866977856925) q[3]; rz(0.19083693337172408) q[3]; cz q[3], q[2]; rz(0.5388079143562052) q[2]; cz q[2], q[1]; ry(0.004771184437433563) q[1]; rz(-0.35666048880249657) q[1]; cz q[1], q[0]; ry(-0.018908248634017966) q[1]; ry(1.3568409277017641) q[2]; rz(0.06596084529637103) q[2]; ry(2.5343101205559373) q[3]; ry(-0.21646795155566245) q[4]; rz(0.2672989834456195) q[4]; ry(2.6578621358965298) q[5]; ry(-0.9368843856581821) q[6]; rz(-0.10074902148764961) q[6]; ry(0.13026629646627902) q[7]; rz(-0.026404203268140164) q[7]; cz q[7], q[6]; rz(0.2652600000596905) q[6]; cz q[6], q[5]; ry(0.19441108828952058) q[5]; rz(-0.30131792289871423) q[5]; cz q[5], q[4]; rz(0.5380392682978363) q[4]; cz q[4], q[3]; ry(0.6808909840254906) q[3]; rz(-0.0426315459850632) q[3]; cz q[3], q[2]; rz(0.009542368874867257) q[2]; cz q[2], q[1]; ry(0.38604136785321685) q[3]; ry(0.2965946894272645) q[4]; rz(-0.5810047585528085) q[4]; ry(-0.22821673835070513) q[5]; ry(0.7548308081537324) q[6]; rz(0.05619348345023662) q[6]; ry(1.8592328421474444) q[7]; ry(0.062374739059434255) q[8]; rz(-0.11132681640203805) q[8]; ry(0.5064364651089877) q[9]; rz(0.2694780083933937) q[9]; cz q[9], q[8]; rz(0.5603084964254461) q[8]; cz q[8], q[7]; ry(1.2158563586298237) q[7]; rz(-0.0050337269374388545) q[7]; cz q[7], q[6]; rz(-0.16688014694459774) q[6]; cz q[6], q[5]; ry(0.31907223349772285) q[5]; rz(-0.04973011041592674) q[5]; cz q[5], q[4]; rz(0.5101615517899338) q[4]; cz q[4], q[3]; ry(-0.3424575012264057) q[5]; ry(1.5595750089828817) q[6]; rz(-0.08710103457480378) q[6]; ry(-0.09530798989523216) q[7]; ry(0.033887092077595576) q[8]; rz(0.6068685979418588) q[8]; ry(2.079776414619343) q[9]; ry(1.1305277065875088) q[10]; rz(-0.09430595787387906) q[10]; ry(0.1625057931881994) q[11]; rz(-0.013489254730539607) q[11]; cz q[11], q[10]; rz(0.5477685779550319) q[10]; cz q[10], q[9]; ry(-0.837645911639523) q[10]; rz(-0.10686400968783205) q[10]; ry(-0.09956376075260487) q[11]; ry(0.42115076319786626) q[9]; rz(0.2827393614536152) q[9]; cz q[9], q[8]; rz(0.8698657952445084) q[8]; cz q[8], q[7]; ry(-0.1927853901150178) q[7]; rz(0.24683979579736215) q[7]; cz q[7], q[6]; rz(-0.4974686416919747) q[6]; cz q[6], q[5]; ry(-0.047867825188162044) q[7]; ry(-0.026532193543175726) q[8]; rz(-0.579648489808211) q[8]; ry(-0.07833016738515584) q[9]; ry(0.27424292884196366) q[12]; rz(0.3451835352580849) q[12]; cz q[12], q[11]; ry(0.11716255518531152) q[11]; rz(0.3208292382619593) q[11]; cz q[11], q[10]; rz(-0.12695302271942266) q[10]; cz q[10], q[9]; ry(1.4584059209605018) q[10]; rz(0.2642135407749703) q[10]; ry(2.298144974498797) q[11]; ry(-0.21845850482121143) q[12]; rz(-0.35961998333936696) q[12]; cz q[12], q[11]; ry(0.5922847749709104) q[11]; rz(-0.49172018928254) q[11]; cz q[11], q[10]; rz(-0.4686945083125731) q[10]; ry(0.13148339663476005) q[11]; ry(-0.04636208523558298) q[12]; rz(0.27748261895033455) q[12]; cz q[12], q[11]; ry(0.4181655497062442) q[9]; rz(-0.4183750578312862) q[9]; cz q[9], q[8]; rz(0.0472076074764427) q[8]; cz q[8], q[7]; ry(0.0998743317811431) q[9]; cz q[10], q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[13] c; qubit[13] q; ry(x0) q[0]; rz(x1) q[0]; ry(x2) q[1]; rz(x3) q[1]; ry(x4) q[2]; rz(x5) q[2]; ry(x6) q[3]; rz(x7) q[3]; ry(x8) q[4]; rz(x9) q[4]; ry(x10) q[5]; rz(x11) q[5]; ry(x12) q[6]; rz(x2) q[6]; ry(x13) q[7]; rz(x1) q[7]; ry(x14) q[8]; rz(x15) q[8]; ry(x16) q[9]; rz(x17) q[9]; ry(x18) q[10]; rz(x19) q[10]; ry(x20) q[11]; rz(x21) q[11]; ry(x22) q[12]; rz(x23) q[12]; cz q[1], q[0]; cz q[3], q[2]; cz q[5], q[4]; cz q[7], q[6]; cz q[9], q[8]; cz q[11], q[10]; ry(x24) q[1]; ry(x24) q[1]; rz(x25) q[2]; rz(x25) q[2]; cz q[2], q[1]; ry(x26) q[3]; ry(x26) q[3]; rz(x27) q[4]; rz(x27) q[4]; cz q[4], q[3]; ry(x28) q[5]; ry(x28) q[5]; rz(x29) q[6]; rz(x29) q[6]; cz q[6], q[5]; ry(x30) q[7]; ry(x30) q[7]; rz(x31) q[8]; rz(x31) q[8]; cz q[8], q[7]; ry(x32) q[9]; ry(x32) q[9]; rz(x33) q[10]; rz(x33) q[10]; cz q[10], q[9]; ry(x34) q[11]; ry(x34) q[11]; cz q[12], q[11]; ry(x35) q[0]; rz(x36) q[0]; ry(x37) q[1]; rz(x38) q[1]; ry(x39) q[2]; rz(x40) q[2]; ry(x41) q[3]; rz(x42) q[3]; ry(x43) q[4]; rz(x44) q[4]; ry(x45) q[5]; rz(x46) q[5]; ry(x47) q[6]; rz(x48) q[6]; ry(x49) q[7]; rz(x50) q[7]; ry(x51) q[8]; rz(x52) q[8]; ry(x53) q[9]; rz(x54) q[9]; ry(x55) q[10]; rz(x56) q[10]; ry(x57) q[11]; rz(x58) q[11]; ry(x59) q[12]; rz(x60) q[12]; cz q[1], q[0]; cz q[3], q[2]; cz q[5], q[4]; cz q[7], q[6]; cz q[9], q[8]; cz q[11], q[10]; ry(x61) q[1]; ry(x61) q[1]; rz(x62) q[2]; rz(x62) q[2]; cz q[2], q[1]; ry(x63) q[3]; ry(x63) q[3]; rz(x64) q[4]; rz(x64) q[4]; cz q[4], q[3]; ry(x65) q[5]; ry(x65) q[5]; rz(x66) q[6]; rz(x66) q[6]; cz q[6], q[5]; ry(x67) q[7]; ry(x67) q[7]; rz(x68) q[8]; rz(x68) q[8]; cz q[8], q[7]; ry(x69) q[9]; ry(x69) q[9]; rz(x70) q[10]; rz(x70) q[10]; cz q[10], q[9]; ry(x71) q[11]; ry(x71) q[11]; cz q[12], q[11]; ry(x72) q[0]; rz(x73) q[0]; ry(x37) q[1]; rz(x74) q[1]; ry(x75) q[2]; rz(x76) q[2]; ry(x77) q[3]; rz(x78) q[3]; ry(x79) q[4]; rz(x80) q[4]; ry(x81) q[5]; rz(x82) q[5]; ry(x83) q[6]; rz(x84) q[6]; ry(x85) q[7]; rz(x86) q[7]; ry(x87) q[8]; rz(x88) q[8]; ry(x89) q[9]; rz(x90) q[9]; ry(x91) q[10]; rz(x92) q[10]; ry(x93) q[11]; rz(x94) q[11]; ry(x95) q[12]; rz(x96) q[12]; cz q[1], q[0]; cz q[3], q[2]; cz q[5], q[4]; cz q[7], q[6]; cz q[9], q[8]; cz q[11], q[10]; ry(x97) q[1]; ry(x97) q[1]; rz(x37) q[2]; rz(x37) q[2]; cz q[2], q[1]; ry(x98) q[3]; ry(x98) q[3]; rz(x99) q[4]; rz(x99) q[4]; cz q[4], q[3]; ry(x100) q[5]; ry(x100) q[5]; rz(x101) q[6]; rz(x101) q[6]; cz q[6], q[5]; ry(x102) q[7]; ry(x102) q[7]; rz(x103) q[8]; rz(x103) q[8]; cz q[8], q[7]; ry(x104) q[9]; ry(x104) q[9]; rz(x105) q[10]; rz(x105) q[10]; cz q[10], q[9]; ry(x106) q[11]; ry(x106) q[11]; cz q[12], q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIIIIIZZ", "IIIIIIIIIIZIZ", "IIIIIIIIIZIIZ", "IIIIIIIIIIZZI", "IIIIIIIIIZIZI", "IIIIIIIIIZZII", "IIIIIIIIIIZZZ", "IIIIIIIIIZIZZ", "IIIIIIIIIZZIZ", "IIIIIIIIIZZZI", "IIIIIIIIIZZZZ", "IIIIIIIZZIIII", "IIIIIIZIZIIII", "IIIIIZIIZIIII", "IIIIIIZZIIIII", "IIIIIZIZIIIII", "IIIIIZZIIII...
[ 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0.125, -0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0.125, -0.125, 0.125, 0.25, 0.25, 0.25, -0.25, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0....
0.970262
[ 0.7711795064500494, -0.026404203268140164, -0.10074902148764961, -0.25894003279860156, 0.9442505162235159, 0.09929995747044852, 0.3493413706629419, -0.2676184730638463, 0.21843456743659198, -0.27261330959162605, 0.7376427729034467, 0.11569324165414256, -0.9368843856581821, 0.13026629646627...
{ "n_parameters": 107, "n_qubits": 13, "optimal_eigenvalue": -3.8125, "target_ratio": 0.97, "target_value": -3.698125 }
63
f66a982a183ade09db0d8bd37adec82b
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 1, "target": 9}, {"weight": 2, "source": 2, "target": 3}, {"weight": 11, "source": 3, "target": 8}, {"weight": 8, "source": 4, "target": 5}, {"weight": 13, "source": 4, "target": 8}, {"weight": 9, "source": 6, "target": 7}, {"weight": 20, "source": 6, "target": 8}, {"weight": 17, "source": 7, "target": 9}, {"weight": 1, "source": 8, "target": 9}]}
{"states": [343, 342], "expectation_value": -94.85947995663857, "params": [0.14930000000000002, -0.0067, 0.7897000000000001, 0.0017000000000000001, 0.30870000000000003, 0.0563, 0.787, -0.0014, 0.3483, -0.014700000000000001, 0.788, -0.004, 0.1807, -0.3062, 0.7759, -0.0426, 0.7619, -0.1051, 0.3754, -0.19790000000000002, 0.15080000000000002, -0.0036000000000000003, 0.791, 0.0022, 0.3366, 0.014400000000000001, 0.7868, -0.0044, 0.3773, -0.033, 0.7823, 0.022600000000000002, 0.18780000000000002, -0.2644, 0.7742, -0.004200000000000001, 0.7587, 0.062400000000000004, 0.36410000000000003, -0.21080000000000002, 0.15480000000000002, -0.007500000000000001, 0.7905000000000001, 0.0014, 0.2464, -0.034, 0.7902, -0.0018000000000000002, 0.2948, -0.0244, 0.7879, -0.0034000000000000002, 0.18180000000000002, -0.3121, 0.6646000000000001, 0.0609, 0.7574000000000001, 0.0558, 0.3682, -0.23900000000000002, 0.1563, 0.0043, 0.7898000000000001, -0.012, 0.1292, -0.0154, 0.7843, -0.010100000000000001, 0.1253, 0.08080000000000001, 0.7805000000000001, 0.2659, 0.17400000000000002, -0.216, 0.4399, 0.1135, 0.7534000000000001, -0.1353, 0.3294, 0.009600000000000001, 0.0673, -0.0741, 0.16190000000000002, -0.1042, 0.027100000000000003, -0.1955, 0.0426, -0.21960000000000002, -0.6955, 0.0211, 0.0334, -0.0983, 0.019200000000000002, -0.1978, -0.0115, -0.4934, 0.0055000000000000005, -0.227, -0.10840000000000001, 0.15990000000000001, -0.36960000000000004, 0.1658, -0.37420000000000003, 0.1642, -0.2752, 0.2082, 0.16190000000000002, -0.5581, 0.1827, -0.6761, 0.171, -0.7322000000000001, 0.17980000000000002, -0.1206, 0.33680000000000004, 0.4582], "bitstrings": ["1010101000", "1010101001"], "total_optimization_steps": 80, "probabilities": [0.36818057570405915, 0.5695441886088621], "optimization_time": 15.117012023925781}
5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 14.0 * Z(1) + -4.0 * Z(0) + 16.5 * Z(3) + -4.5 * Z(2) + 17.5 * Z(5) + -1.5 * Z(4) + 21.0 * Z(7) + 4.5 * Z(6) + 14.0 * Z(8) + 17.0 * Z(9)
4
10
4
{"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1010101001"], "largest_eigenvalue": 171.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; rx(0.17396870276297483) q[0]; rz(1.4815906557890361) q[0]; rx(0.8467122148572366) q[1]; rz(1.5415456054239751) q[1]; rx(0.34095051938946835) q[2]; rz(1.8788324266479801) q[2]; rx(0.7838521986374394) q[3]; rz(1.4153294253154893) q[3]; rx(0.27648068414589133) q[4]; rz(1.5960488978035432) q[4]; rx(0.8757771293735326) q[5]; rz(1.5725649732178155) q[5]; rx(0.06973237295626492) q[6]; rz(0.9077273481181392) q[6]; rx(0.7367543081356703) q[7]; rz(1.552630801480606) q[7]; rx(0.8062826508539666) q[8]; rz(1.3643155074319635) q[8]; rx(-0.05483602273077814) q[9]; rz(-0.08394955325937782) q[9]; cx q[9], q[8]; ry(0.4705559813063916) q[8]; cx q[9], q[8]; ry(-0.4705559813063916) q[8]; rz(-pi/2) q[8]; cx q[8], q[7]; ry(0.15118687892901395) q[7]; cx q[8], q[7]; ry(-0.15118687892901395) q[7]; rz(-pi/2) q[7]; cx q[7], q[6]; ry(-0.010494066572665675) q[6]; cx q[7], q[6]; ry(0.010494066572665675) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(0.10641434048330889) q[5]; cx q[6], q[5]; ry(-0.10641434048330889) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(-0.06491267669723302) q[4]; cx q[5], q[4]; ry(0.06491267669723302) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(0.07813578265693227) q[3]; cx q[4], q[3]; ry(-0.07813578265693227) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(-0.15244886144403547) q[2]; cx q[3], q[2]; ry(0.15244886144403547) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(0.016988940474535974) q[1]; cx q[2], q[1]; ry(-0.016988940474535974) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(-0.10464273411466328) q[0]; cx q[1], q[0]; ry(0.20510311499986003) q[0]; rz(0.06563027580648573) q[0]; rx(0.9626237846522567) q[1]; rz(1.5329221116775749) q[1]; rx(0.13385793719739963) q[2]; rz(1.6304734283924907) q[2]; rx(0.8705697726550572) q[3]; rz(1.6283760464461032) q[3]; rx(0.5381131095804992) q[4]; rz(1.759015851618643) q[4]; rx(1.0375500745608361) q[5]; rz(1.6127128529783334) q[5]; rx(0.1684927029206249) q[6]; rz(1.3784459194818854) q[6]; rx(0.8944974419901558) q[7]; rz(1.6027820378576223) q[7]; rx(0.6468139345870528) q[8]; rz(1.592359540781687) q[8]; rx(0.10094839016730477) q[9]; rz(-0.17961481368470428) q[9]; cx q[9], q[8]; ry(0.07006322243972413) q[8]; cx q[9], q[8]; ry(-0.07006322243972413) q[8]; rz(-pi/2) q[8]; cx q[8], q[7]; ry(-0.008722858091577405) q[7]; cx q[8], q[7]; ry(0.008722858091577405) q[7]; rz(-pi/2) q[7]; cx q[7], q[6]; ry(0.25824112708092206) q[6]; cx q[7], q[6]; ry(-0.25824112708092206) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(0.17125049863396002) q[5]; cx q[6], q[5]; ry(-0.17125049863396002) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(0.01862878665084014) q[4]; cx q[5], q[4]; ry(-0.01862878665084014) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(-0.04994089097957543) q[3]; cx q[4], q[3]; ry(0.04994089097957543) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(0.0830343543489282) q[2]; cx q[3], q[2]; ry(-0.0830343543489282) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(0.05263913069132968) q[1]; cx q[2], q[1]; ry(-0.05263913069132968) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(-0.0036832658392749393) q[0]; cx q[1], q[0]; ry(0.1737770083083191) q[0]; rz(-0.0048807585540320275) q[0]; rx(0.5904061149234183) q[1]; rz(1.6269550148149694) q[1]; rx(0.4296875109745845) q[2]; rz(1.5117713783643918) q[2]; rx(0.7402547707441907) q[3]; rz(1.4949166278954937) q[3]; rx(0.5050897101798274) q[4]; rz(1.5014996775656346) q[4]; rx(0.8496529272682378) q[5]; rz(1.521787299506438) q[5]; rx(-0.029889870004297013) q[6]; rz(1.1774246168662366) q[6]; rx(0.6646666635909854) q[7]; rz(1.446569230077615) q[7]; rx(0.573693059145165) q[8]; rz(1.7692746436183011) q[8]; rx(0.09049766635034573) q[9]; rz(-0.22643140282542656) q[9]; cx q[9], q[8]; ry(-0.15244886144403547) q[8]; cx q[9], q[8]; ry(0.15244886144403547) q[8]; rz(-pi/2) q[8]; cx q[8], q[7]; ry(-0.13115861590275757) q[7]; cx q[8], q[7]; ry(0.13115861590275757) q[7]; rz(-pi/2) q[7]; cx q[7], q[6]; ry(0.061099478256415846) q[6]; cx q[7], q[6]; ry(-0.061099478256415846) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(-0.07202705265812272) q[5]; cx q[6], q[5]; ry(0.07202705265812272) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(0.1976470242051267) q[4]; cx q[5], q[4]; ry(-0.1976470242051267) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(-0.029852647391822827) q[3]; cx q[4], q[3]; ry(0.029852647391822827) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(0.30210757811864536) q[2]; cx q[3], q[2]; ry(-0.30210757811864536) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(0.024146631951552144) q[1]; cx q[2], q[1]; ry(-0.024146631951552144) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(0.048739238842843355) q[0]; cx q[1], q[0]; ry(0.13547193630696738) q[0]; rz(-0.08354876696699165) q[0]; rx(0.7675780705901472) q[1]; rz(1.649249930641055) q[1]; rx(0.3334662665981562) q[2]; rz(1.5113982542943933) q[2]; rx(0.8589676956859178) q[3]; rz(1.4945291148376505) q[3]; rx(0.08688301932713505) q[4]; rz(1.4861133071948736) q[4]; rx(0.47570151658068716) q[5]; rz(1.947435495598831) q[5]; rx(0.10430875300162089) q[6]; rz(1.4451327987160276) q[6]; rx(0.4222883794757685) q[7]; rz(1.6454453609004842) q[7]; rx(1.0011340135810585) q[8]; rz(1.2907065360466188) q[8]; rx(0.029061982515561136) q[9]; rz(-0.19767379049377723) q[9]; cx q[9], q[8]; ry(-0.3651928244335614) q[8]; cx q[9], q[8]; ry(0.3651928244335614) q[8]; rz(-pi/2) q[8]; cx q[8], q[7]; ry(-0.0728807088376194) q[7]; cx q[8], q[7]; ry(0.0728807088376194) q[7]; rz(-pi/2) q[7]; cx q[7], q[6]; ry(0.08286430510793655) q[6]; cx q[7], q[6]; ry(-0.08286430510793655) q[6]; rz(-pi/2) q[6]; cx q[6], q[5]; ry(-0.15148025567789652) q[5]; cx q[6], q[5]; ry(0.15148025567789652) q[5]; rz(-pi/2) q[5]; cx q[5], q[4]; ry(0.38168624192109896) q[4]; cx q[5], q[4]; ry(-0.38168624192109896) q[4]; rz(-pi/2) q[4]; cx q[4], q[3]; ry(-0.08164511300976485) q[3]; cx q[4], q[3]; ry(0.08164511300976485) q[3]; rz(-pi/2) q[3]; cx q[3], q[2]; ry(0.39615623020448565) q[2]; cx q[3], q[2]; ry(-0.39615623020448565) q[2]; rz(-pi/2) q[2]; cx q[2], q[1]; ry(-0.07105373389076772) q[1]; cx q[2], q[1]; ry(0.07105373389076772) q[1]; rz(-pi/2) q[1]; cx q[1], q[0]; ry(0.23070654066807167) q[0]; cx q[1], q[0]; ry(-0.23070654066807167) q[0]; rz(-pi/2) q[0];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; crx(x20) q[9], q[8]; crx(x21) q[8], q[7]; crx(x22) q[7], q[6]; crx(x23) q[6], q[5]; crx(x24) q[5], q[4]; crx(x25) q[4], q[3]; crx(x26) q[3], q[2]; crx(x27) q[2], q[1]; crx(x28) q[1], q[0]; rx(x29) q[0]; rz(x30) q[0]; rx(x31) q[1]; rz(x32) q[1]; rx(x33) q[2]; rz(x34) q[2]; rx(x35) q[3]; rz(x36) q[3]; rx(x37) q[4]; rz(x38) q[4]; rx(x39) q[5]; rz(x40) q[5]; rx(x41) q[6]; rz(x42) q[6]; rx(x43) q[7]; rz(x44) q[7]; rx(x45) q[8]; rz(x46) q[8]; rx(x47) q[9]; rz(x48) q[9]; crx(x49) q[9], q[8]; crx(x50) q[8], q[7]; crx(x51) q[7], q[6]; crx(x52) q[6], q[5]; crx(x53) q[5], q[4]; crx(x54) q[4], q[3]; crx(x55) q[3], q[2]; crx(x56) q[2], q[1]; crx(x57) q[1], q[0]; rx(x58) q[0]; rz(x59) q[0]; rx(x60) q[1]; rz(x61) q[1]; rx(x62) q[2]; rz(x63) q[2]; rx(x64) q[3]; rz(x65) q[3]; rx(x66) q[4]; rz(x67) q[4]; rx(x68) q[5]; rz(x69) q[5]; rx(x70) q[6]; rz(x71) q[6]; rx(x72) q[7]; rz(x73) q[7]; rx(x74) q[8]; rz(x75) q[8]; rx(x76) q[9]; rz(x77) q[9]; crx(x26) q[9], q[8]; crx(x78) q[8], q[7]; crx(x79) q[7], q[6]; crx(x80) q[6], q[5]; crx(x81) q[5], q[4]; crx(x82) q[4], q[3]; crx(x83) q[3], q[2]; crx(x84) q[2], q[1]; crx(x85) q[1], q[0]; rx(x86) q[0]; rz(x87) q[0]; rx(x88) q[1]; rz(x89) q[1]; rx(x90) q[2]; rz(x91) q[2]; rx(x92) q[3]; rz(x93) q[3]; rx(x94) q[4]; rz(x95) q[4]; rx(x96) q[5]; rz(x97) q[5]; rx(x98) q[6]; rz(x99) q[6]; rx(x100) q[7]; rz(x101) q[7]; rx(x102) q[8]; rz(x103) q[8]; rx(x104) q[9]; rz(x105) q[9]; crx(x106) q[9], q[8]; crx(x107) q[8], q[7]; crx(x108) q[7], q[6]; crx(x109) q[6], q[5]; crx(x110) q[5], q[4]; crx(x111) q[4], q[3]; crx(x112) q[3], q[2]; crx(x113) q[2], q[1]; crx(x114) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"matching": "perfect", "extra": "{\"n\": 10}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIIZZ", "IIIIIIZZII", "IIIIZIZIII", "IIIIZZIIII", "IIZIIIZIII", "IIZIZIIIII", "IIZZIIIIII", "IZIIIIIIZI", "IZIZIIIIII", "ZIIIIIIIZI", "ZIIIIIZIII", "ZIIIZIIIII", "ZIZIIIIIII", "ZZIIIIIIII", "IIIIIIIIZI", "IIIIIIIIIZ", "IIIIIIZIII", "IIIIIIIZII", "IIIIZIIIII", "IIIIIZIIII"...
[ 5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 14, -4, 16.5, -4.5, 17.5, -1.5, 21, 4.5, 14, 17 ]
0.974175
[ 0.17396870276297483, -0.08920567100586008, 0.8467122148572365, -0.029250721370921308, 0.34095051938946835, 0.3080360998530831, 0.7838521986374394, -0.15546690147940717, 0.2764806841458914, 0.02525257100864669, 0.8757771293735327, 0.0017686464229193146, 0.06973237295626492, -0.6630689786767...
{ "n_parameters": 115, "n_qubits": 10, "optimal_eigenvalue": -104.5, "target_ratio": 0.97, "target_value": -101.365 }
8
a91613587e2e3ed31c854337981da9dd
min_cut
adaptive_vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6}, {"capacity": 5, "source": 5, "target": 3}, {"capacity": 4, "source": 6, "target": 4}]}
{"states": [1, 5], "expectation_value": -8.994069887330976, "params": null, "bitstrings": ["11111110", "11111010"], "total_optimization_steps": 21, "probabilities": [0.49801329686780876, 0.49901874048113365], "optimization_time": 15.182564735412598}
-0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -1.75 * Z(4) + 1.25 * Z(5)
1
8
4
{"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 8.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[8] q; h q[0]; ry(-0.8142818159798348) q[0]; ry(-0.032593683521263635) q[1]; rz(-pi) q[1]; h q[2]; ry(-1.610183497606998) q[2]; h q[3]; ry(-1.610183497606998) q[3]; h q[4]; ry(-1.610183497606998) q[4]; h q[5]; h q[6]; ry(-1.610183497606998) q[6]; h q[7]; ry(1.4863581279641118) q[7]; cx q[7], q[0]; ry(0.8142818159798348) q[0]; cx q[7], q[0]; ry(0.014085585013846047) q[0]; cx q[7], q[1]; ry(0.15505423955834824) q[1]; cx q[7], q[1]; ry(0.06308812058745883) q[7]; cx q[5], q[7]; ry(-0.06308812058745883) q[7]; cx q[5], q[7];
null
{"source": 0, "sink": 7}
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n"], "gradients": [1.7412, 1.987, 1.7417, 1.7491, 0.4985, 0.7463, 0.4989, 0.0637, 0.0438, 0.026, 0.0125, 0.0087, 0.0075, 0.0075, 0.0062, 0.0052, 0.0052, 0.005, 0.0035, 0.0035, 0.003]}
[ "IIIIIIZZ", "ZIIIIIIZ", "IIIIIZZI", "IIIIZIZI", "IIIIZZII", "IZIIIIZI", "IZIIZIII", "IIIZIZII", "IZIZIIII", "IIZIZIII", "IIIIIIZI", "IIIIIIIZ", "ZIIIIIII", "IIIIIZII", "IIIIZIII", "IZIIIIII", "IIIZIIII", "IIZIIIII" ]
[ -0.25, 0.5, -1.25, -0.25, -1.75, -0.25, -0.75, -0.75, -1, -1.25, 1.5, -0.25, 0.5, -1.25, 0, 0, -1.75, 1.25 ]
0.997911
[ -1.610183497606998, 1.4863581279641118, -1.6285636319596697, -1.3831484037152848, -0.3101084791166965, 0.12617624117491766, 0.014085585013846047 ]
{ "n_parameters": 7, "n_qubits": 8, "optimal_eigenvalue": -9, "target_ratio": 0.97, "target_value": -8.73 }
1
9e7016c164f10697b0206c1127149a76
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]}
{"states": [17, 3], "expectation_value": -6.917947095858679, "params": [[-0.062400000000000004, -0.038900000000000004], [0.0736, 0.0732]], "bitstrings": ["101110", "111100"], "total_optimization_steps": 10, "probabilities": [0.03244915018638139, 0.03320132372367608], "optimization_time": 3.192864179611206}
2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + -6.0 * Z(1) + -6.0 * Z(0) + -6.0 * Z(2) + -6.0 * Z(3) + -5.5 * Z(4) + -5.5 * Z(5)
18
6
2
{"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[6] q; h q[0]; h q[1]; cx q[1], q[0]; rz(0.0017965964091332248) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(0.0017965964091332248) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.0017965964091332248) q[2]; cx q[0], q[2]; h q[3]; cx q[1], q[3]; rz(0.0017965964091332248) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.0017965964091332248) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.0017965964091332248) q[3]; cx q[2], q[3]; h q[4]; cx q[1], q[4]; rz(-0.07551128298742306) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.07551128298742306) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.0017965964091332248) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.0017965964091332248) q[4]; cx q[3], q[4]; h q[5]; cx q[1], q[5]; rz(0.0017965964091332248) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(1.2634867789247117) q[1]; rx(1.2568819748851656) q[1]; rz(0.0017965964091332248) q[5]; cx q[0], q[5]; rz(1.2634867789247117) q[0]; rx(1.2568819748851656) q[0]; cx q[1], q[0]; rz(-0.04637896190664645) q[0]; cx q[1], q[0]; cx q[2], q[5]; rz(-0.07551128298742306) q[5]; cx q[2], q[5]; rz(1.2634867789247117) q[2]; rx(1.2568819748851656) q[2]; cx q[1], q[2]; rz(-0.04637896190664645) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.04637896190664645) q[2]; cx q[0], q[2]; cx q[3], q[5]; rz(-0.07551128298742306) q[5]; cx q[3], q[5]; rz(1.2634867789247117) q[3]; rx(1.2568819748851656) q[3]; cx q[1], q[3]; rz(-0.04637896190664645) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.04637896190664645) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-0.04637896190664645) q[3]; cx q[2], q[3]; cx q[4], q[5]; rz(-0.07551128298742306) q[5]; cx q[4], q[5]; rz(-1.4711869636840826) q[4]; rx(1.2568819748851654) q[4]; cx q[1], q[4]; rz(-0.0710626490461622) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(-0.0710626490461622) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(-0.04637896190664645) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(-0.04637896190664645) q[4]; cx q[3], q[4]; rz(-1.4711869636840826) q[5]; rx(1.2568819748851654) q[5]; cx q[1], q[5]; rz(-0.04637896190664645) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.48661910135770725) q[1]; rx(0.3667675496563035) q[1]; rz(-0.04637896190664645) q[5]; cx q[0], q[5]; rz(0.48661910135770725) q[0]; rx(0.3667675496563035) q[0]; cx q[2], q[5]; rz(-0.0710626490461622) q[5]; cx q[2], q[5]; rz(0.48661910135770725) q[2]; rx(0.3667675496563035) q[2]; cx q[3], q[5]; rz(-0.0710626490461622) q[5]; cx q[3], q[5]; rz(0.48661910135770725) q[3]; rx(0.3667675496563035) q[3]; cx q[4], q[5]; rz(-0.0710626490461622) q[5]; cx q[4], q[5]; rz(0.531926563272755) q[4]; rx(0.3667675496563035) q[4]; rz(0.531926563272755) q[5]; rx(0.3667675496563035) q[5];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[6] c; qubit[6] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x1) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x1) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x1) q[5]; cx q[4], q[5]; rz(x2) q[1]; rz(x2) q[0]; rz(x2) q[2]; rz(x2) q[3]; rz(x3) q[4]; rz(x3) q[5]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; h q[3]; rz(x4) q[3]; h q[3]; h q[4]; rz(x4) q[4]; h q[4]; h q[5]; rz(x4) q[5]; h q[5]; cx q[1], q[0]; rz(x5) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x5) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x5) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x5) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x5) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x5) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x6) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x6) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x5) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x5) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x5) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x5) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x6) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x6) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x6) q[5]; cx q[4], q[5]; rz(x7) q[1]; rz(x7) q[0]; rz(x7) q[2]; rz(x7) q[3]; rz(x8) q[4]; rz(x8) q[5]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5];
{"k": 4}
{"circuits": [], "gradients": []}
[ "IIIIZZ", "IIIZZI", "IIIZIZ", "IIZIZI", "IIZIIZ", "IIZZII", "IZIIZI", "IZIIIZ", "IZIZII", "IZZIII", "ZIIIZI", "ZIIIIZ", "ZIIZII", "ZIZIII", "ZZIIII", "IIIIZI", "IIIIIZ", "IIIZII", "IIZIII", "IZIIII", "ZIIIII" ]
[ 2.25, 2.25, 2.25, 2.25, 2.25, 2.25, 2.5, 2.5, 2.25, 2.25, 2.25, 2.25, 2.5, 2.5, 2.5, -6, -6, -6, -6, -5.5, -5.5 ]
0.981987
[ 0.0017965964091332248, -0.07551128298742306, 1.2634867789247113, -1.4711869636840829, 1.2568819748851656, -0.04637896190664645, -0.0710626490461622, 0.48661910135770714, 0.5319265632727552, 0.3667675496563035 ]
{ "n_parameters": 10, "n_qubits": 6, "optimal_eigenvalue": -16, "target_ratio": 0.97, "target_value": -15.52 }
29
fbc4c53f550402aa7d6311a5b02e2bb5
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 14, "source": 1, "target": 8}, {"weight": 13, "source": 1, "target": 4}, {"weight": 1, "source": 2, "target": 3}, {"weight": 8, "source": 4, "target": 5}, {"weight": 2, "source": 6, "target": 7}, {"weight": 13, "source": 7, "target": 8}]}
{"states": [481, 241], "expectation_value": -8.032082213542301, "params": [[0.0507], [-0.0625]], "bitstrings": ["000011110", "100001110"], "total_optimization_steps": 10, "probabilities": [0.004101645878198956, 0.004221163738447266], "optimization_time": 4.074758768081665}
5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(7) @ Z(8)) + 14.5 * Z(1) + 14.5 * Z(0) + 12.5 * Z(2) + 12.0 * Z(4) + 11.5 * Z(3) + -4.5 * Z(5) + 4.0 * Z(6) + 6.5 * Z(8) + -4.0 * Z(7)
1
9
1
{"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["100001110"], "largest_eigenvalue": 122.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; h q[0]; h q[1]; cx q[1], q[0]; rz(5.806793518998351e-09) q[0]; cx q[1], q[0]; h q[2]; cx q[1], q[2]; rz(5.806793518998351e-09) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(5.806793518998351e-09) q[2]; cx q[0], q[2]; h q[3]; h q[4]; cx q[0], q[4]; rz(5.806793518998351e-09) q[4]; cx q[0], q[4]; cx q[0], q[3]; rz(5.806793518998351e-09) q[3]; cx q[0], q[3]; rz(1.570796356243922) q[0]; rx(-1.570796324084223) q[0]; cx q[4], q[3]; rz(5.806793518998351e-09) q[3]; cx q[4], q[3]; h q[5]; cx q[1], q[5]; rz(5.806793518998351e-09) q[5]; cx q[1], q[5]; rz(1.570796356243922) q[1]; rx(-1.570796324084223) q[1]; rz(-1.570796342467852) q[5]; rx(-1.570796324084223) q[5]; h q[6]; cx q[2], q[6]; rz(5.806793518998351e-09) q[6]; cx q[2], q[6]; rz(1.570796331930568) q[2]; rx(-1.570796324084223) q[2]; cx q[3], q[6]; rz(5.806793518998351e-09) q[6]; cx q[3], q[6]; rz(1.5707963523618655) q[3]; rx(-1.5707963240842233) q[3]; rz(-1.570796255271416) q[6]; rx(-1.570796324084223) q[6]; h q[7]; h q[8]; cx q[4], q[8]; rz(5.806793518998351e-09) q[8]; cx q[4], q[8]; rz(-1.5707963287379663) q[4]; rx(-1.570796324084223) q[4]; cx q[8], q[7]; rz(5.806793518998351e-09) q[7]; cx q[8], q[7]; rz(-1.570796320131743) q[7]; rx(-1.570796324084223) q[7]; rz(1.5707963426885518) q[8]; rx(-1.570796324084223) q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[2], q[6]; rz(x0) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[4], q[8]; rz(x0) q[8]; cx q[4], q[8]; cx q[8], q[7]; rz(x0) q[7]; cx q[8], q[7]; rz(x1) q[1]; rz(x1) q[0]; rz(x2) q[2]; rz(x3) q[4]; rz(x4) q[3]; rz(x5) q[5]; rz(x6) q[6]; rz(x7) q[8]; rz(x8) q[7]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; h q[6]; rz(x9) q[6]; h q[6]; h q[7]; rz(x9) q[7]; h q[7]; h q[8]; rz(x9) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "near_perfect", "extra": "{\"n\": 9}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIIZZI", "IIIIIIZIZ", "IIIIZIIIZ", "IIIIIZIIZ", "IIIIZZIII", "IIIZIIIZI", "IIZIIIZII", "IIZIIZIII", "ZIIIZIIII", "ZZIIIIIII", "IIIIIIIZI", "IIIIIIIIZ", "IIIIIIZII", "IIIIZIIII", "IIIIIZIII", "IIIZIIIII", "IIZIIIIII", "ZIIIIIIII", "IZIIIIIII" ]
[ 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 14.5, 14.5, 12.5, 12, 11.5, -4.5, 4, 6.5, -4 ]
0.930556
[ 5.806793518998351e-9, 1.570796356243922, 1.5707963319305678, -1.5707963287379665, 1.570796352361865, -1.5707963424678517, -1.5707962552714163, 1.5707963426885518, -1.5707963201317428, -1.570796324084223 ]
{ "n_parameters": 10, "n_qubits": 9, "optimal_eigenvalue": -72, "target_ratio": 0.97, "target_value": -69.84 }
264
444b62b2304e1a19fde52e526911bdcb
vertex_cover
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}]}
{"states": [18, 34], "expectation_value": -3.411632246301548, "params": null, "bitstrings": ["101101", "011101"], "total_optimization_steps": 19, "probabilities": [0.06012643125721689, 0.7888196926370306], "optimization_time": 13.147481203079224}
0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4)
1
6
3
{"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"], "largest_eigenvalue": 10.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[6] q; h q[0]; h q[1]; ry(-0.48422120993676504) q[1]; cx q[0], q[1]; ry(0.48422120993676504) q[1]; cx q[0], q[1]; ry(1.0591314364533853) q[0]; ry(-0.6600466468166103) q[1]; h q[2]; ry(-0.5491677298042162) q[2]; rz(-pi) q[3]; ry(-0.04868280451431047) q[3]; h q[4]; cx q[4], q[2]; ry(0.5491677298042162) q[2]; cx q[4], q[2]; ry(-0.6407256076383266) q[2]; ry(0.7452689593608157) q[4]; cx q[4], q[0]; ry(-0.31386247709256976) q[0]; cx q[4], q[0]; ry(0.16571630548040306) q[4]; cx q[0], q[4]; ry(-0.16571630548040306) q[4]; cx q[0], q[4]; cx q[0], q[2]; cx q[4], q[1]; ry(0.18289514463125253) q[2]; cx q[0], q[2]; ry(0.05017441282236999) q[0]; cx q[2], q[0]; ry(-0.05017441282236999) q[0]; cx q[2], q[0]; ry(0.20221618380953615) q[1]; cx q[4], q[1]; ry(0.006150399463753356) q[4]; cx q[1], q[4]; ry(-0.006150399463753356) q[4]; cx q[1], q[4]; ry(-0.07564076704648742) q[0]; cx q[1], q[0]; ry(0.07564076704648742) q[0]; cx q[1], q[0]; ry(-0.005463553576634292) q[4]; cx q[2], q[4]; ry(0.005463553576634292) q[4]; cx q[2], q[4]; cx q[4], q[3]; ry(0.02528980394877779) q[3]; cx q[4], q[3]; h q[5]; ry(-1.666160731733247) q[5];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\ncry(-0.099) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\ncry(-0.099) q[2], q[4];\ncry(-0.0945) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\ncry(-0.099) q[2], q[4];\ncry(-0.0945) q[1], q[0];\ncry(-0.0027) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\ncry(-0.099) q[2], q[4];\ncry(-0.0945) q[1], q[0];\ncry(-0.0027) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\ncry(-1.0343) q[0], q[1];\ncry(-1.0342) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[2];\ncry(0.4578) q[4], q[0];\ncry(0.4515) q[0], q[4];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[4], q[1];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[1], q[4];\ncry(-0.099) q[2], q[4];\ncry(-0.0945) q[1], q[0];\ncry(-0.0027) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n"], "gradients": [1.5092, 1.0052, 0.2506, 0.2506, 0.2461, 0.2457, 0.188, 0.1878, 0.1757, 0.188, 0.1593, 0.1561, 0.0224, 0.0217, 0.0217, 0.0207, 0.0061, 0.004, 0.0026]}
[ "IIIIZZ", "IIZIZI", "IIZIIZ", "ZIIIZI", "ZIIIIZ", "ZIZIII", "ZIIZII", "IZZIII", "IZIZII", "IIIIZI", "IIIIIZ", "IIZIII", "ZIIIII", "IIIZII", "IZIIII" ]
[ 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -1, -1, -1.5, -1.5, -0.5, -0.5 ]
0.976114
[ -1.666160731733247, -1.5941893273604293, -0.9684424198735301, -1.0983354596084325, 0.7452689593608157, -0.45783046300707414, 0.6277249541851395, 0.3314326109608061, -0.36579028926250506, -0.4044323676190723, 0.10034882564473999, 0.012300798927506712, -0.010927107153268584, -0.1512815340929...
{ "n_parameters": 15, "n_qubits": 6, "optimal_eigenvalue": -3.5, "target_ratio": 0.97, "target_value": -3.395 }
1
f736cdcdd3e9fab7057c0068d5117a32
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 2}, {"weight": 16, "source": 1, "target": 3}, {"weight": 5, "source": 2, "target": 3}, {"weight": 15, "source": 2, "target": 4}, {"weight": 3, "source": 4, "target": 5}, {"weight": 7, "source": 6, "target": 7}]}
{"states": [348, 244], "expectation_value": -14.444477322662678, "params": [[0.041], [-0.0877]], "bitstrings": ["010100011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0046230206488169796, 0.005360251616851105], "optimization_time": 1.9177680015563965}
4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) + 13.5 * Z(0) + 13.0 * Z(2) + 19.0 * Z(3) + 17.0 * Z(4) + 11.5 * Z(5) + 12.0 * Z(6) + -3.0 * Z(7) + -1.0 * Z(8)
1
9
1
{"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 161.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[9] q; ry(-2.3305793817029294) q[0]; rz(-pi) q[0]; ry(-1.2125699780875014) q[1]; rz(-pi) q[1]; ry(-1.5549335664366195) q[2]; rz(-pi) q[2]; ry(-2.53423986867924) q[3]; rz(-pi) q[3]; rz(-pi) q[4]; ry(-2.5661915813676774) q[4]; h q[5]; ry(0.6647761924313366) q[5]; cx q[5], q[0]; ry(-32.09243054923481) q[0]; cx q[5], q[0]; ry(1.8340051824285328) q[5]; cx q[0], q[5]; ry(-1.8340051824285328) q[5]; cx q[0], q[5]; cx q[0], q[3]; ry(-31.610057010222345) q[3]; cx q[0], q[3]; ry(3.260064399650775) q[3]; ry(-9.58644440872203) q[0]; ry(3.097276410240637) q[5]; rz(-pi) q[6]; ry(-2.78695274797513) q[6]; h q[7]; ry(-0.08339461570054421) q[7]; h q[8]; cx q[8], q[3]; ry(-3.260064399650775) q[3]; cx q[8], q[3]; cx q[8], q[0]; ry(9.58644440872203) q[0]; cx q[8], q[0]; cx q[0], q[6]; cx q[8], q[5]; ry(0.05658355468047481) q[6]; cx q[0], q[6]; ry(-3.097276410240637) q[5]; cx q[8], q[5]; cx q[5], q[1]; ry(6.119258107815422) q[1]; cx q[5], q[1]; cx q[5], q[2]; ry(9.359719785071007) q[2]; cx q[5], q[2]; ry(-0.6242403411790314) q[2]; cx q[3], q[2]; ry(0.6242403411790314) q[2]; cx q[3], q[2]; ry(-0.061695385256860184) q[6]; cx q[5], q[6]; ry(0.061695385256860184) q[6]; cx q[5], q[6]; cx q[6], q[7]; ry(0.08339461570054421) q[7]; cx q[6], q[7]; ry(-0.19141852598085063) q[6]; cx q[2], q[6]; ry(0.19141852598085063) q[6]; cx q[2], q[6]; ry(-0.012753090669133646) q[1]; cx q[8], q[1]; ry(0.012753090669133646) q[1]; cx q[8], q[1]; ry(-0.0226784570403159) q[6]; cx q[8], q[6]; ry(0.0226784570403159) q[6]; cx q[8], q[6]; ry(-1.89863546000344) q[1]; cx q[6], q[1]; ry(1.89863546000344) q[1]; cx q[6], q[1]; ry(1.0738894226857951) q[0]; cx q[6], q[0]; ry(-1.0738894226857951) q[0]; cx q[6], q[0]; ry(0.05221452128124616) q[1]; cx q[0], q[1]; ry(-0.05221452128124616) q[1]; cx q[0], q[1]; ry(-0.3625308188758676) q[3]; ry(-0.7606626849677712) q[7]; cx q[5], q[7]; ry(0.28866634775273287) q[7]; cx q[5], q[7]; cx q[5], q[4]; ry(0.028881083916227984) q[4]; cx q[5], q[4]; ry(0.04244381093076304) q[4]; cx q[8], q[4]; ry(-0.04244381093076304) q[4]; cx q[8], q[4]; ry(-0.30153770472226554) q[4]; cx q[6], q[4]; ry(0.30153770472226554) q[4]; cx q[6], q[4]; ry(-0.084074395982626) q[4]; cx q[2], q[4]; ry(0.084074395982626) q[4]; cx q[2], q[4]; ry(-0.013964684442991065) q[4]; cx q[0], q[4]; ry(0.013964684442991065) q[4]; cx q[0], q[4]; ry(-0.25674663056424063) q[6]; cx q[4], q[6]; ry(0.25674663056424063) q[6]; cx q[4], q[6]; ry(-0.006236199850989874) q[6]; cx q[1], q[6]; ry(0.006236199850989874) q[6]; cx q[1], q[6]; ry(0.02491422081842825) q[4]; cx q[1], q[4]; ry(-0.02491422081842825) q[4]; cx q[1], q[4]; ry(0.11064948527978821) q[2]; cx q[4], q[2]; ry(-0.11064948527978821) q[2]; cx q[4], q[2]; cx q[2], q[3]; ry(0.3625308188758676) q[3]; cx q[2], q[3]; ry(0.6736758301299707) q[0]; cx q[4], q[0]; ry(-0.6736758301299707) q[0]; cx q[4], q[0]; ry(-0.09929109248026273) q[0]; cx q[2], q[0]; ry(0.09929109248026273) q[0]; cx q[2], q[0]; ry(0.44615639773293436) q[3]; cx q[4], q[3]; ry(-0.44615639773293436) q[3]; cx q[4], q[3]; ry(0.23876665490827217) q[6]; cx q[3], q[6]; ry(-0.23876665490827217) q[6]; cx q[3], q[6]; ry(-0.06932200246635484) q[1]; cx q[4], q[1]; ry(0.06932200246635484) q[1]; cx q[4], q[1]; ry(0.027940784840946996) q[4]; cx q[3], q[4]; ry(-0.027940784840946996) q[4]; cx q[3], q[4]; ry(-0.21482588830997043) q[2]; cx q[6], q[2]; ry(0.21482588830997043) q[2]; cx q[6], q[2]; ry(-0.09826220479250025) q[4]; cx q[7], q[4]; ry(0.09826220479250025) q[4]; cx q[7], q[4]; ry(0.20313026398463152) q[7]; cx q[1], q[7]; ry(-0.20313026398463152) q[7]; cx q[1], q[7]; ry(-0.4403197198991143) q[0]; cx q[1], q[0]; ry(0.4403197198991143) q[0]; cx q[1], q[0]; ry(0.19985727451792945) q[0]; cx q[3], q[0]; ry(-0.19985727451792945) q[0]; cx q[3], q[0]; ry(0.03954891294568216) q[5]; cx q[7], q[5]; ry(-0.03954891294568216) q[5]; cx q[7], q[5]; ry(-0.0347637710771282) q[5]; cx q[1], q[5]; ry(0.0347637710771282) q[5]; cx q[1], q[5]; ry(-0.12426869047099354) q[1]; cx q[2], q[1]; ry(0.12426869047099354) q[1]; cx q[2], q[1]; ry(-0.3620711124669148) q[5]; cx q[2], q[5]; ry(0.3620711124669148) q[5]; cx q[2], q[5]; ry(-0.26664964587082746) q[7]; cx q[4], q[7]; ry(0.26664964587082746) q[7]; cx q[4], q[7]; ry(-0.39434088161138475) q[5]; cx q[6], q[5]; ry(0.39434088161138475) q[5]; cx q[6], q[5]; ry(-0.0008891490342316372) q[7]; cx q[8], q[7]; ry(0.0008891490342316372) q[7]; cx q[8], q[7]; ry(-0.385906139826596) q[7]; cx q[3], q[7]; ry(0.385906139826596) q[7]; cx q[3], q[7]; ry(0.3540532903150132) q[8]; cx q[6], q[8]; ry(-0.3540532903150132) q[8]; cx q[6], q[8]; ry(-0.5443230199726314) q[8]; cx q[4], q[8]; ry(0.5443230199726314) q[8]; cx q[4], q[8]; ry(1.157916829494981) q[8]; cx q[3], q[8]; ry(-1.157916829494981) q[8]; cx q[3], q[8]; ry(0.00708552026384479) q[3]; cx q[6], q[3]; ry(-0.00708552026384479) q[3]; cx q[6], q[3]; ry(-0.8806894612330443) q[2]; ry(-0.02678507929698773) q[3]; ry(0.301052056566092) q[5]; ry(-0.10892168060866964) q[6]; ry(-0.4195004700089393) q[8]; cx q[1], q[8]; ry(-0.09204161554397211) q[8]; cx q[1], q[8]; cx q[8], q[2]; ry(0.8806894612330443) q[2]; cx q[8], q[2]; ry(-0.02307848463278553) q[2]; cx q[0], q[2]; ry(0.02307848463278553) q[2]; cx q[0], q[2]; ry(-0.854921518660108) q[0]; cx q[7], q[0]; ry(0.854921518660108) q[0]; cx q[7], q[0]; ry(0.04656477952025434) q[7]; cx q[2], q[7]; ry(-0.04656477952025434) q[7]; cx q[2], q[7]; ry(0.03543493723996019) q[7]; cx q[0], q[7]; ry(-0.03543493723996019) q[7]; cx q[0], q[7]; ry(-0.012124095113278985) q[2]; cx q[1], q[2]; ry(0.012124095113278985) q[2]; cx q[1], q[2]; cx q[1], q[3]; ry(0.02678507929698773) q[3]; cx q[1], q[3]; cx q[3], q[5]; ry(-0.09762550609780041) q[8]; cx q[2], q[8]; ry(0.09762550609780041) q[8]; cx q[2], q[8]; ry(-0.4687478840298292) q[8]; cx q[0], q[8]; ry(0.4687478840298292) q[8]; cx q[0], q[8]; ry(-0.301052056566092) q[5]; cx q[3], q[5]; ry(0.3355457488293854) q[3]; cx q[5], q[3]; ry(-0.3355457488293854) q[3]; cx q[5], q[3]; ry(0.4627558506268483) q[5]; cx q[4], q[5]; ry(-0.4627558506268483) q[5]; cx q[4], q[5]; ry(-0.14606384180392812) q[8]; cx q[5], q[8]; ry(0.14606384180392812) q[8]; cx q[5], q[8]; ry(-0.8963837889380576) q[1]; cx q[7], q[1]; ry(0.8963837889380576) q[1]; cx q[7], q[1]; ry(0.05001854638431799) q[1]; cx q[3], q[1]; ry(-0.05001854638431799) q[1]; cx q[3], q[1]; ry(0.3444723672946681) q[2]; cx q[7], q[2]; ry(-0.3444723672946681) q[2]; cx q[7], q[2]; cx q[7], q[6]; ry(0.10892168060866964) q[6]; cx q[7], q[6]; ry(0.20291730065574284) q[8]; cx q[7], q[8]; ry(-0.20291730065574284) q[8]; cx q[7], q[8]; ry(0.22416944573091194) q[3]; cx q[7], q[3]; ry(-0.22416944573091194) q[3]; cx q[7], q[3];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x0) q[5]; cx q[1], q[5]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x0) q[5]; cx q[4], q[5]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; cx q[2], q[8]; rz(x0) q[8]; cx q[2], q[8]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x4) q[3]; rz(x5) q[4]; rz(x6) q[5]; rz(x7) q[6]; rz(x8) q[7]; rz(x9) q[8]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; h q[7]; rz(x10) q[7]; h q[7]; h q[8]; rz(x10) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "perfect", "extra": "{\"n\": 8}"}
{"circuits": [], "gradients": []}
[ "IIIIIIIZZ", "IIIIIIZZI", "IIIIIIZIZ", "IIIIIZIIZ", "IIIIZIIZI", "IIIIZIIIZ", "IIIIZZIII", "IIIZIIIZI", "IIIZIZIII", "IIIZZIIII", "IIZIIZIII", "IIZZIIIII", "IZZIIIIII", "ZIIIIIZII", "IIIIIIIZI", "IIIIIIIIZ", "IIIIIIZII", "IIIIIZIII", "IIIIZIIII", "IIIZIIIII", "IIZIIIIII", "...
[ 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 16, 13.5, 13, 19, 17, 11.5, 12, -3, -1 ]
0.977128
[ 0.7693130675599309, 21.024634404472, -25.654894776789906, 6.366464348750739, 0.6647761924313366, 3.0606717175331437, 64.18486109846963, 3.6680103648570657, 63.22011402044469, 20.831575708628794, 6.52012879930155, -19.17288881744406, 6.194552820481274, -12.238516215630844, -18.71943957014...
{ "n_parameters": 81, "n_qubits": 9, "optimal_eigenvalue": -83, "target_ratio": 0.97, "target_value": -80.50999999999999 }
214
1dcb3c744ddd55658248ce3c7196418c
connected_components
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]}
{"states": [0, 6], "expectation_value": -1.7417622267617223, "params": [0.6591, 0.2998, 0.48400000000000004, -0.0814, 0.6567000000000001, 0.2545, 0.46490000000000004, -0.058100000000000006, 0.561, 0.44120000000000004, 0.41600000000000004, -0.1075, 0.3274, -0.0916, 0.1623, 0.0047, 0.3451, -0.0721, 0.013800000000000002, 0.007200000000000001, 0.27290000000000003, -0.1424, -0.11860000000000001, 0.0011, 0.5023, 0.5189, 0.22840000000000002, 0.8058000000000001, 0.9495, -0.8294], "bitstrings": ["111", "001"], "total_optimization_steps": 130, "probabilities": [0.2812959437931447, 0.66118915866164], "optimization_time": 6.659825563430786}
-1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2)
6
3
2
{"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[16] q; rx(1.0652804248318555) q[0]; rz(-0.4790339043757319) q[0]; rx(0.9745577300577288) q[1]; rz(0.29346053770470665) q[1]; rx(0.0157130110860835) q[2]; rz(0.618448567596635) q[2]; rx(1.0308831125161482) q[3]; rz(0.23627299479722735) q[3]; rx(1.1756644845217723) q[4]; rz(0.3067858491711559) q[4]; rx(1.00009586838585) q[5]; rz(-0.016079870551915385) q[5]; rx(1.0041750502695932) q[6]; rz(-0.3884080547291887) q[6]; rx(0.1930245440899869) q[7]; rz(-0.4512171250379397) q[7]; rx(-0.1686823282244929) q[8]; rz(0.5018408569937253) q[8]; rx(1.3408417773949106) q[9]; rz(0.21360861863027952) q[9]; rx(0.973789832766066) q[10]; rz(-0.27544505011150794) q[10]; rx(0.9840725899611924) q[11]; rz(-0.23096476603565286) q[11]; rx(1.0209544073263057) q[12]; rz(-0.07363941986537774) q[12]; rx(0.25877067200588777) q[13]; rz(0.43810435315328267) q[13]; rx(0.9515184474817913) q[14]; rz(0.064876582064866) q[14]; rx(1.3911526333951532) q[15]; rz(-0.23247250851182066) q[15]; cx q[15], q[0]; rz(0.15756298107765077) q[0]; cx q[15], q[0]; rz(-0.029402203817213583) q[15]; cx q[14], q[15]; rz(0.029402203817213583) q[15]; cx q[14], q[15]; rz(0.04137438207756436) q[14]; cx q[13], q[14]; rz(-0.04137438207756436) q[14]; cx q[13], q[14]; rz(0.03643250175788273) q[13]; cx q[12], q[13]; rz(-0.03643250175788273) q[13]; cx q[12], q[13]; rz(-0.1502905798620994) q[12]; cx q[11], q[12]; rz(0.1502905798620994) q[12]; cx q[11], q[12]; rz(0.03829611475807272) q[11]; cx q[10], q[11]; rz(-0.03829611475807272) q[11]; cx q[10], q[11]; rz(0.05094261688127725) q[10]; cx q[9], q[10]; rz(-0.05094261688127725) q[10]; cx q[9], q[10]; rz(0.021491689984770197) q[9]; cx q[8], q[9]; rz(-0.021491689984770197) q[9]; cx q[8], q[9]; rz(0.1812088317502568) q[8]; cx q[7], q[8]; rz(-0.1812088317502568) q[8]; cx q[7], q[8]; rz(-0.18018373364558452) q[7]; cx q[6], q[7]; rz(0.18018373364558452) q[7]; cx q[6], q[7]; rz(-0.08456781198330696) q[6]; cx q[5], q[6]; rz(0.08456781198330696) q[6]; cx q[5], q[6]; rz(0.06640358079168616) q[5]; cx q[4], q[5]; rz(-0.06640358079168616) q[5]; cx q[4], q[5]; rz(-0.03936318788833966) q[4]; cx q[3], q[4]; rz(0.03936318788833966) q[4]; cx q[3], q[4]; rz(0.24849167339420955) q[3]; cx q[2], q[3]; rz(-0.24849167339420955) q[3]; cx q[2], q[3]; rz(0.013831078828478054) q[2]; cx q[1], q[2]; rz(-0.013831078828478054) q[2]; cx q[1], q[2]; rz(-0.3121606849672686) q[1]; cx q[0], q[1]; rz(0.3121606849672686) q[1]; cx q[0], q[1]; rx(0.8511323925932381) q[0]; rz(0.0008949988304252088) q[0]; rx(0.888419484293234) q[1]; rz(-0.08752625815640377) q[1]; rx(0.7980604942936202) q[10]; rz(0.31807675167793764) q[10]; rx(1.2258967009546995) q[11]; rz(0.10545860981018358) q[11]; rx(0.9980253748278766) q[12]; rz(0.31613803582678524) q[12]; rx(0.0157130110860835) q[13]; rz(0.37813513133800924) q[13]; rx(1.134762584911449) q[14]; rz(-0.20143269884147016) q[14]; rx(0.9945910968511465) q[15]; rz(0.06796543784619612) q[15]; cx q[15], q[0]; rz(0.0009728198762175336) q[0]; cx q[15], q[0]; rz(0.051399478322519065) q[15]; cx q[14], q[15]; rz(-0.051399478322519065) q[15]; cx q[14], q[15]; rz(0.22785421822919966) q[14]; cx q[13], q[14]; rz(-0.22785421822919966) q[14]; cx q[13], q[14]; rz(0.09467059112652765) q[13]; cx q[12], q[13]; rz(-0.09467059112652765) q[13]; cx q[12], q[13]; rz(-0.09991408041018704) q[12]; cx q[11], q[12]; rz(0.09991408041018704) q[12]; cx q[11], q[12]; rz(-0.08757167478953891) q[11]; cx q[10], q[11]; rz(0.08757167478953891) q[11]; cx q[10], q[11]; rz(0.06524914970463155) q[10]; rx(1.129703824654877) q[11]; rz(0.3673907338747935) q[11]; rx(0.8088826107281066) q[12]; rz(0.21743783681530546) q[12]; rx(0.14803542397476277) q[13]; rz(0.1593981309704329) q[13]; rx(0.7848605525922844) q[14]; rz(0.15357605871480584) q[14]; rx(0.8702930660430416) q[15]; rz(-0.1918677022565363) q[15]; rx(-0.0363649981615211) q[2]; rz(0.4438122422448734) q[2]; rx(0.9556689543988882) q[3]; rz(0.09454106444226547) q[3]; rx(0.6892210931577478) q[4]; rz(-0.2432841413975929) q[4]; rx(1.471865634861699) q[5]; rz(0.2622358712793522) q[5]; rx(1.2461847173939953) q[6]; rz(-0.24764523254650486) q[6]; rx(-0.11832324190660888) q[7]; rz(-0.1920144470010741) q[7]; rx(0.13865416012698883) q[8]; rz(0.508215131601658) q[8]; rx(0.6424043737428768) q[9]; rz(-0.19533142104454254) q[9]; cx q[9], q[10]; rz(-0.06524914970463155) q[10]; cx q[9], q[10]; rz(0.18129093058623164) q[9]; cx q[8], q[9]; rz(-0.18129093058623164) q[9]; cx q[8], q[9]; rz(0.14243498431101886) q[8]; cx q[7], q[8]; rz(-0.14243498431101886) q[8]; cx q[7], q[8]; rz(-0.1054659576482424) q[7]; cx q[6], q[7]; rz(0.1054659576482424) q[7]; cx q[6], q[7]; rz(-0.041054226069946104) q[6]; cx q[5], q[6]; rz(0.041054226069946104) q[6]; cx q[5], q[6]; rz(-0.062006617791748056) q[5]; cx q[4], q[5]; rz(0.062006617791748056) q[5]; cx q[4], q[5]; rz(-0.08687200422682836) q[4]; cx q[3], q[4]; rz(0.08687200422682836) q[4]; cx q[3], q[4]; rz(0.2617307464140164) q[3]; cx q[2], q[3]; rz(-0.2617307464140164) q[3]; cx q[2], q[3]; rz(0.27708338874404315) q[2]; cx q[1], q[2]; rz(-0.27708338874404315) q[2]; cx q[1], q[2]; rz(0.2184028134474924) q[1]; cx q[0], q[1]; rz(-0.2184028134474924) q[1]; cx q[0], q[1]; rx(1.2272943599535977) q[0]; rz(0.20316963617938644) q[0]; cx q[15], q[0]; rx(1.2679834976987159) q[1]; rz(-0.1918677022565363) q[1]; rz(-0.10871891840765273) q[0]; cx q[15], q[0]; rz(0.014353799173510998) q[15]; cx q[14], q[15]; rz(-0.014353799173510998) q[15]; cx q[14], q[15]; rz(0.08125352140595005) q[14]; cx q[13], q[14]; rz(-0.08125352140595005) q[14]; cx q[13], q[14]; rz(0.04124861024698357) q[13]; cx q[12], q[13]; rz(-0.04124861024698357) q[13]; cx q[12], q[13]; rz(-0.11123250760749229) q[12]; cx q[11], q[12]; rz(0.11123250760749229) q[12]; cx q[11], q[12]; rz(-0.03373405146277251) q[11]; rx(1.19296145820483) q[10]; rz(0.5219221323961943) q[10]; cx q[10], q[11]; rz(0.03373405146277251) q[11]; cx q[10], q[11]; rz(0.09247549198133188) q[10]; rx(-0.0363649981615211) q[2]; rz(-0.6037809673432561) q[2]; rx(0.9543687197954231) q[3]; rz(-0.1454476396804431) q[3]; rx(1.3949487205267987) q[4]; rz(0.021309461752668513) q[4]; rx(0.7342380778314914) q[5]; rz(-0.01730980156724421) q[5]; rx(1.0817571528953864) q[6]; rz(-0.0338864125783748) q[6]; rx(0.0919837066826297) q[7]; rz(0.07808670365809396) q[7]; rx(0.11850344102238493) q[8]; rz(0.4846330363884692) q[8]; rx(1.2218501098153673) q[9]; rz(0.021309461752668513) q[9]; cx q[9], q[10]; rz(-0.09247549198133188) q[10]; cx q[9], q[10]; rz(0.10986380826755918) q[9]; cx q[8], q[9]; rz(-0.10986380826755918) q[9]; cx q[8], q[9]; rz(-0.006882198007655771) q[8]; cx q[7], q[8]; rz(0.006882198007655771) q[8]; cx q[7], q[8]; rz(-0.04085633670247828) q[7]; cx q[6], q[7]; rz(0.04085633670247828) q[7]; cx q[6], q[7]; rz(0.09393595821497155) q[6]; cx q[5], q[6]; rz(-0.09393595821497155) q[6]; cx q[5], q[6]; rz(-0.02684010671499341) q[5]; cx q[4], q[5]; rz(0.02684010671499341) q[5]; cx q[4], q[5]; rz(-0.02281347501926949) q[4]; cx q[3], q[4]; rz(0.02281347501926949) q[4]; cx q[3], q[4]; rz(-0.12187130883039529) q[3]; cx q[2], q[3]; rz(0.12187130883039529) q[3]; cx q[2], q[3]; rz(-0.12187130883039529) q[2]; cx q[1], q[2]; rz(0.12187130883039529) q[2]; cx q[1], q[2]; rz(-0.0169432062891874) q[1]; cx q[0], q[1]; rz(0.0169432062891874) q[1]; cx q[0], q[1];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[3] c; qubit[3] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; crx(x6) q[2], q[1]; crx(x7) q[2], q[0]; crx(x8) q[1], q[2]; crx(x7) q[1], q[0]; crx(x8) q[0], q[2]; crx(x6) q[0], q[1]; rx(x9) q[0]; rz(x10) q[0]; rx(x11) q[1]; rz(x12) q[1]; rx(x13) q[2]; rz(x14) q[2]; rx(x15) q[0]; rz(x16) q[0]; rx(x17) q[1]; rz(x18) q[1]; rx(x19) q[2]; rz(x20) q[2]; crx(x21) q[2], q[1]; crx(x22) q[2], q[0]; crx(x23) q[1], q[2]; crx(x22) q[1], q[0]; crx(x23) q[0], q[2]; crx(x21) q[0], q[1]; rx(x24) q[0]; rz(x25) q[0]; rx(x26) q[1]; rz(x27) q[1]; rx(x28) q[2]; rz(x29) q[2]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2];
{"node": 2}
{"circuits": [], "gradients": []}
[ "IZZ", "IZI", "IIZ", "ZII" ]
[ -1, 0.5, 0.5, -0.5 ]
0.970132
[ 1.0652804248318557, -0.3214709232980808, 0.9745577300577288, 0.29346053770470665, 0.0157130110860835, 0.618448567596635, 1.0308831125161482, 0.23627299479722735, 1.1756644845217723, 0.3067858491711559, 1.00009586838585, -0.016079870551915385, 1.0041750502695932, -0.3884080547291887, 0.19...
{ "n_parameters": 137, "n_qubits": 16, "optimal_eigenvalue": -19.999999999999897, "target_ratio": 0.97, "target_value": -19.3999999999999 }
19
3ce4a4ba7ee8a45f8917cf89915e33a4
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}], "edges": [{"weight": 1, "source": 0, "target": 8}, {"weight": 4, "source": 1, "target": 9}, {"weight": 4, "source": 2, "target": 10}, {"weight": 6, "source": 3, "target": 11}, {"weight": 12, "source": 3, "target": 10}, {"weight": 20, "source": 3, "target": 9}, {"weight": 7, "source": 4, "target": 12}, {"weight": 20, "source": 4, "target": 9}, {"weight": 12, "source": 6, "target": 9}, {"weight": 12, "source": 6, "target": 12}]}
{"states": [636, 87], "expectation_value": -18.91213532135983, "params": [[[0.3019, 0.29810000000000003], [0.2646, 0.2958], [-0.23340000000000002, 0.2982], [0.3037, 0.29960000000000003], [0.3017, 0.2972], [0.2978, 0.3003], [0.23170000000000002, 0.2995], [0.29760000000000003, 0.3054], [0.30260000000000004, 0.26680000000000004], [0.3037, 0.30360000000000004]], [[0.3017, 0.2927], [0.2811, 0.2923], [-0.2283, 0.3002], [0.302, 0.2962], [0.2884, 0.2942], [0.3043, 0.308], [0.2901, 0.2803], [0.2952, 0.3058], [0.1963, 0.2972], [0.2978, 0.2979]], [[0.3069, 0.28350000000000003], [0.28800000000000003, 0.2893], [-0.2165, 0.3019], [0.30760000000000004, 0.3045], [0.1738, 0.2934], [0.3017, 0.3059], [0.2813, 0.27740000000000004], [0.29710000000000003, 0.307], [0.2953, 0.29660000000000003], [0.26730000000000004, 0.0369]], [[0.2957, 0.29000000000000004], [0.2959, 0.1792], [-0.1857, 0.3], [0.3015, 0.30360000000000004], [0.22290000000000001, 0.3005], [0.29760000000000003, 0.3079], [0.2914, 0.08370000000000001], [0.3007, 0.2914], [0.2987, 0.2963], [0.3009, 0.307]]], "bitstrings": ["0110000011", "1110101000"], "total_optimization_steps": 30, "probabilities": [0.020048189407745883, 0.026715397753511432], "optimization_time": 34.502854347229004}
7.0 * (Z(1) @ Z(5)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 31.0 * Z(5) + 9.0 * Z(1) + 13.0 * Z(3) + -5.0 * Z(2) + 3.0 * Z(4) + 24.0 * Z(7) + 3.5 * Z(6) + 6.0 * Z(8) + 20.0 * Z(9) + -13.5 * Z(0)
15
10
4
{"smallest_eigenvalues": [-118.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.0, "smallest_bitstrings": ["1110101000"], "largest_eigenvalue": 209.0}
OPENQASM 3.0; include "stdgates.inc"; qubit[10] q; ry(0.10902733778614689) q[0]; ry(-0.6433263250310056) q[1]; ry(0.36597408183039215) q[2]; ry(0.9060699110657989) q[3]; ry(0.3906461321270023) q[4]; ry(0.8777978278176712) q[5]; ry(-0.08527750477662771) q[6]; ry(0.7066197365137479) q[7]; ry(-0.053463148409039624) q[8]; ry(0.9060699110657989) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.10063595240203294) q[0]; ry(0.01572030843985949) q[1]; ry(0.04051858651800959) q[2]; ry(0.066025332160173) q[3]; ry(0.07000606001022525) q[4]; ry(0.08853667936740611) q[5]; ry(-0.02419868944799615) q[6]; ry(0.5613380286110996) q[7]; ry(0.7969989013912174) q[8]; ry(0.06995517284072256) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; ry(0.3906461321270023) q[0]; cx q[1], q[2]; ry(0.5945353436042629) q[1]; cx q[2], q[3]; ry(0.047308582038234445) q[2]; cx q[3], q[4]; ry(0.6010205154530156) q[3]; cx q[4], q[5]; ry(-0.40340167729958143) q[4]; cx q[5], q[6]; ry(0.28779970558869267) q[5]; cx q[6], q[7]; ry(0.4593150388759499) q[6]; cx q[7], q[8]; ry(-0.04921277792924131) q[7]; ry(0.37677961655869635) q[8]; ry(0.8777978278176712) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.08774802788051556) q[0]; ry(-0.05340214592660375) q[1]; ry(-0.17993164409138349) q[2]; ry(0.11980514019425116) q[3]; ry(0.12032593588896323) q[4]; ry(0.5985304284647547) q[5]; ry(0.646208205724801) q[6]; ry(0.17886787999882456) q[7]; ry(0.07000606001022525) q[8]; ry(0.11012920982088749) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; ry(0.36939234464700405) q[0]; cx q[1], q[2]; ry(-0.00953326048721935) q[1]; cx q[2], q[3]; ry(-0.1629560890795195) q[2]; cx q[3], q[4]; ry(0.40883274226380606) q[3]; cx q[4], q[5]; ry(0.06247904072067918) q[4]; cx q[5], q[6]; ry(0.3906461321270023) q[5]; cx q[6], q[7]; ry(0.45053139194368813) q[6]; cx q[7], q[8]; ry(0.24815788629950758) q[7]; ry(0.7457604872498719) q[8]; ry(0.9265098071312002) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.07170353500497353) q[0]; ry(-0.027137019105053554) q[1]; ry(0.10902733778614689) q[2]; ry(0.4894589386112137) q[3]; ry(0.5113328734146525) q[4]; ry(-0.03121912361693827) q[5]; ry(0.3479365787462409) q[6]; ry(1.527968209727831) q[7]; ry(0.24892220907961393) q[8]; ry(-1.3816505159588581) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; ry(-0.10443212423862677) q[0]; cx q[1], q[2]; ry(0.11536452364870042) q[1]; cx q[2], q[3]; ry(-0.1278284931941493) q[2]; cx q[3], q[4]; ry(1.271253375690128) q[3]; cx q[4], q[5]; ry(0.05959396708279888) q[4]; cx q[5], q[6]; ry(0.7066197365137479) q[5]; cx q[6], q[7]; ry(0.390019586842138) q[6]; cx q[7], q[8]; ry(-0.15143825116302984) q[7]; ry(0.12556471058685337) q[8]; ry(0.118696507006779) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(-0.07228689201718813) q[0]; ry(-0.003475475889153163) q[1]; ry(-0.10214405655292082) q[2]; ry(0.06995517284072256) q[3]; ry(-0.05549062062961925) q[4]; ry(0.7818150770138789) q[5]; ry(0.8984358766750768) q[6]; ry(0.390019586842138) q[7]; ry(1.2975877431926846) q[8]; ry(1.527968209727831) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; ry(x0) q[0]; ry(x1) q[1]; ry(x2) q[2]; ry(x3) q[3]; ry(x4) q[4]; ry(x5) q[5]; ry(x6) q[6]; ry(x7) q[7]; ry(x8) q[8]; ry(x3) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x9) q[0]; ry(x10) q[1]; ry(x11) q[2]; ry(x12) q[3]; ry(x13) q[4]; ry(x14) q[5]; ry(x15) q[6]; ry(x16) q[7]; ry(x17) q[8]; ry(x18) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x4) q[0]; ry(x19) q[1]; ry(x20) q[2]; ry(x21) q[3]; ry(x22) q[4]; ry(x23) q[5]; ry(x24) q[6]; ry(x25) q[7]; ry(x26) q[8]; ry(x5) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x27) q[0]; ry(x28) q[1]; ry(x29) q[2]; ry(x30) q[3]; ry(x31) q[4]; ry(x32) q[5]; ry(x33) q[6]; ry(x34) q[7]; ry(x13) q[8]; ry(x35) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x36) q[0]; ry(x37) q[1]; ry(x38) q[2]; ry(x39) q[3]; ry(x40) q[4]; ry(x4) q[5]; ry(x41) q[6]; ry(x42) q[7]; ry(x43) q[8]; ry(x44) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x45) q[0]; ry(x46) q[1]; ry(x0) q[2]; ry(x47) q[3]; ry(x48) q[4]; ry(x49) q[5]; ry(x50) q[6]; ry(x51) q[7]; ry(x52) q[8]; ry(x53) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; ry(x54) q[0]; ry(x55) q[1]; ry(x56) q[2]; ry(x57) q[3]; ry(x58) q[4]; ry(x7) q[5]; ry(x59) q[6]; ry(x60) q[7]; ry(x61) q[8]; ry(x62) q[9]; cx q[9], q[0]; cx q[8], q[9]; cx q[7], q[8]; cx q[6], q[7]; cx q[5], q[6]; cx q[4], q[5]; cx q[3], q[4]; cx q[2], q[3]; cx q[1], q[2]; cx q[0], q[1]; ry(x63) q[0]; ry(x64) q[1]; ry(x65) q[2]; ry(x18) q[3]; ry(x66) q[4]; ry(x67) q[5]; ry(x68) q[6]; ry(x59) q[7]; ry(x69) q[8]; ry(x51) q[9]; cx q[9], q[8]; cx q[0], q[9]; cx q[0], q[1]; cx q[1], q[2]; cx q[2], q[3]; cx q[3], q[4]; cx q[4], q[5]; cx q[5], q[6]; cx q[6], q[7]; cx q[7], q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"}
{"circuits": [], "gradients": []}
[ "IIIIZIIIZI", "IIIIZIZIII", "IIIIIIZZII", "IIIIZZIIII", "IIIIIZZIII", "IIZIZIIIII", "IIZIIIIIZI", "IIZZIIIIII", "IZIZIIIIII", "ZIIIZIIIII", "ZIIIIIIIZI", "ZIZIIIIIII", "ZZIIIIIIII", "IIIIZIIIII", "IIIIIIIIZI", "IIIIIIZIII", "IIIIIIIZII", "IIIIIZIIII", "IIZIIIIIII", "IIIZIIIIII"...
[ 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 31, 9, 13, -5, 3, 24, 3.5, 6, 20, -13.5 ]
0.970244
[ 0.10902733778614689, -0.6433263250310056, 0.36597408183039215, 0.9060699110657989, 0.3906461321270023, 0.8777978278176712, -0.08527750477662771, 0.7066197365137479, -0.053463148409039624, -0.10063595240203294, 0.01572030843985949, 0.04051858651800959, 0.066025332160173, 0.07000606001022525...
{ "n_parameters": 70, "n_qubits": 10, "optimal_eigenvalue": -118, "target_ratio": 0.97, "target_value": -114.46 }
113
6172ec2f30329f156b64312801e66ef4
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 6}, {"capacity": 2, "source": 4, "target": 1}, {"capacity": 3, "source": 4, "target": 5}, {"capacity": 5, "source": 5, "target": 3}]}
{"states": [64, 47], "expectation_value": -2.1211934252315214, "params": [[0.16010000000000002], [-0.14850000000000002]], "bitstrings": ["0111111", "1010000"], "total_optimization_steps": 20, "probabilities": [0.016590043150341974, 0.017788148351099684], "optimization_time": 1.7268462181091309}
-1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5)
1
7
1
{"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1011010", "1011000", "1010000"], "largest_eigenvalue": 10.5}
OPENQASM 3.0; include "stdgates.inc"; qubit[7] q; h q[0]; h q[1]; h q[2]; cx q[2], q[0]; rz(-0.15321410223109672) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(-0.15321410223109672) q[1]; cx q[2], q[1]; h q[3]; cx q[1], q[3]; rz(-0.003386663219578) q[3]; cx q[1], q[3]; h q[4]; h q[5]; cx q[3], q[5]; rz(-0.15321410223109672) q[5]; cx q[3], q[5]; rz(-0.04906685260021204) q[3]; rx(-1.43906272514929) q[3]; h q[6]; cx q[2], q[6]; rz(1.3792064432981384) q[6]; cx q[2], q[6]; cx q[0], q[6]; rz(-0.04906685260021204) q[2]; rx(-1.43906272514929) q[2]; rz(1.6536245255120825) q[6]; cx q[0], q[6]; rz(-0.0033866632195778124) q[0]; rx(-1.43906272514929) q[0]; cx q[1], q[6]; rz(0.007415038342467658) q[6]; cx q[1], q[6]; cx q[1], q[4]; rz(-0.00033579823225607776) q[4]; cx q[1], q[4]; rz(1.55140593381374) q[1]; rx(-1.43906272514929) q[1]; cx q[4], q[5]; rz(0.007415038342467658) q[5]; cx q[4], q[5]; rz(1.5710826703655396) q[4]; rx(-1.43906272514929) q[4]; rz(1.549966787492532) q[5]; rx(-1.43906272514929) q[5]; rz(-0.0033866632195778124) q[6]; rx(-1.43906272514929) q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[2], q[0]; rz(x0) q[0]; cx q[2], q[0]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[1], q[3]; rz(x1) q[3]; cx q[1], q[3]; cx q[2], q[6]; rz(x2) q[6]; cx q[2], q[6]; cx q[0], q[6]; rz(x3) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x4) q[6]; cx q[1], q[6]; cx q[1], q[4]; rz(x5) q[4]; cx q[1], q[4]; cx q[3], q[5]; rz(x0) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x4) q[5]; cx q[4], q[5]; rz(x6) q[2]; rz(x1) q[0]; rz(x7) q[1]; rz(x6) q[3]; rz(x1) q[6]; rz(x8) q[4]; rz(x9) q[5]; h q[0]; rz(x10) q[0]; h q[0]; h q[1]; rz(x10) q[1]; h q[1]; h q[2]; rz(x10) q[2]; h q[2]; h q[3]; rz(x10) q[3]; h q[3]; h q[4]; rz(x10) q[4]; h q[4]; h q[5]; rz(x10) q[5]; h q[5]; h q[6]; rz(x10) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"source": 0, "sink": 6}
{"circuits": [], "gradients": []}
[ "IIIIZIZ", "IIIIZZI", "IIIZIZI", "ZIIIZII", "ZIIIIIZ", "ZIIIIZI", "IIZIIZI", "IZIZIII", "IZZIIII", "IIIIZII", "IIIIIIZ", "IIIIIZI", "IIIZIII", "ZIIIIII", "IIZIIII", "IZIIIII" ]
[ -1.25, -1.25, -0.25, -1, 1.5, -0.75, -0.5, -1.25, -0.75, -1.5, -0.25, 1.75, -1.5, -0.25, 1.25, 0.5 ]
0.80901
[ -0.15321410223109672, -0.003386663219578, 1.3792064432981384, 1.6536245255120825, 0.007415038342467658, -0.00033579823225607776, -0.04906685260021198, 1.5514059338137396, 1.57108267036554, 1.549966787492532, -1.43906272514929 ]
{ "n_parameters": 11, "n_qubits": 7, "optimal_eigenvalue": -7.5, "target_ratio": 0.97, "target_value": -7.2749999999999995 }
276
6e37aef8e2f10c2778e28c9dc9b1affa
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 6}]}
{"states": [3558, 3574], "expectation_value": -3.1713464273165073, "params": [[[0.25630000000000003, 0.025500000000000002, 0.0051, 0.0071], [0.46290000000000003, -0.14300000000000002, 0.2853, -0.1565], [0.5898, -0.09960000000000001, -0.3698, -0.29600000000000004], [-0.1003, -0.27490000000000003, 1.0966, -0.0046], [0.2783, -0.0086, 0.0425, 0.0028], [-0.0673, -0.37310000000000004, 0.1933, 0.9541000000000001], [0.9817, 0.4657, 0.7229, -0.10160000000000001], [0.0434, -0.4043, 0.11900000000000001, -0.1978], [0.11910000000000001, 0.10070000000000001, -0.1053, 0.4001], [0.020800000000000003, -0.001, 0.9956, -0.014100000000000001], [-0.20220000000000002, 0.0743, 0.19260000000000002, -0.10500000000000001], [0.766, 0.0058000000000000005, 0.16, 0.1285], [0.16190000000000002, -0.0058000000000000005, 0.0008, 0.0035]], [[0.4102, -0.013600000000000001, 0.0076, 0.0097], [-0.0918, 0.2989, 0.4978, -0.0235], [0.871, 0.06280000000000001, -0.3285, 0.2199], [-0.5876, 0.18510000000000001, 1.1815, -0.012700000000000001], [1.1883000000000001, 0.0007, 1.1814, -0.0811], [0.5640000000000001, 0.6059, 0.0081, 0.6088], [0.5069, -0.3435, 0.0784, -0.6169], [-0.17270000000000002, 0.0796, 0.31970000000000004, -0.4535], [1.0845, -0.01, -0.1368, -0.7133], [-0.050100000000000006, -0.0874, 1.0649, 0.07490000000000001], [1.1936, -0.0064, -0.3952, -0.07590000000000001], [1.0614000000000001, -0.2511, 1.1243, 0.3522], [-0.0873, 0.16440000000000002, 0.008700000000000001, 0.009600000000000001]], [[-0.6228, 0.37560000000000004, 0.0091, 0.0094], [-0.6609, 0.5729000000000001, 0.052700000000000004, 0.0041], [0.2831, -0.1683, 0.8919, 0.0082], [1.1655, 0.191, 0.5083, 0.008400000000000001], [0.7191000000000001, -0.040600000000000004, 0.6171, 0.006200000000000001], [-0.0359, -0.48860000000000003, -0.0094, 0.0014], [-0.0391, -0.5804, 1.2078, 0.0071], [0.22840000000000002, 0.3453, 0.12660000000000002, 0.009000000000000001], [1.0228000000000002, 0.0427, 0.8034, 0.0006000000000000001], [0.8776, 0.0106, 0.3779, 0.0039000000000000003], [0.6138, 0.0579, 1.1154, 0.0032], [0.9125000000000001, 0.6691, -0.0589, 0.0076], [0.1627, 0.0031000000000000003, 0.0006000000000000001, 0.002]]], "bitstrings": ["1001000011001", "1001000001001"], "total_optimization_steps": 120, "probabilities": [0.2376168014929149, 0.39565713546769177], "optimization_time": 35.60154104232788}
0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) + 0.0625 * (Z(6) @ Z(8)) + 0.0625 * (Z(7) @ Z(8)) + -0.0625 * (Z(0) @ Z(2) @ Z(6)) + -0.0625 * (Z(0) @ Z(2) @ Z(7)) + -0.0625 * (Z(0) @ Z(2) @ Z(8)) + -0.0625 * (Z(0) @ Z(7) @ Z(6)) + -0.0625 * (Z(0) @ Z(8) @ Z(6)) + -0.0625 * (Z(0) @ Z(7) @ Z(8)) + -0.0625 * (Z(6) @ Z(2) @ Z(7)) + -0.0625 * (Z(6) @ Z(2) @ Z(8)) + -0.0625 * (Z(2) @ Z(7) @ Z(8)) + -0.0625 * (Z(6) @ Z(7) @ Z(8)) + 0.0625 * (Z(0) @ Z(2) @ Z(7) @ Z(6)) + 0.0625 * (Z(0) @ Z(2) @ Z(8) @ Z(6)) + 0.0625 * (Z(0) @ Z(2) @ Z(7) @ Z(8)) + 0.0625 * (Z(0) @ Z(7) @ Z(8) @ Z(6)) + 0.0625 * (Z(6) @ Z(2) @ Z(7) @ Z(8)) + -0.0625 * (Z(6) @ Z(2) @ Z(0) @ Z(8) @ Z(7)) + 0.25 * (Z(1) @ Z(9)) + 0.25 * (Z(1) @ Z(10)) + 0.25 * (Z(9) @ Z(10)) + -0.25 * (Z(1) @ Z(9) @ Z(10)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(11) @ Z(3)) + 0.125 * (Z(12) @ Z(3)) + 0.125 * (Z(11) @ Z(6)) + 0.125 * (Z(6) @ Z(12)) + 0.125 * (Z(11) @ Z(12)) + -0.125 * (Z(11) @ Z(6) @ Z(3)) + -0.125 * (Z(6) @ Z(12) @ Z(3)) + -0.125 * (Z(11) @ Z(12) @ Z(3)) + -0.125 * (Z(11) @ Z(12) @ Z(6)) + 0.125 * (Z(11) @ Z(12) @ Z(6) @ Z(3)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(9) @ Z(4)) + 0.125 * (Z(11) @ Z(4)) + 0.125 * (Z(7) @ Z(9)) + 0.125 * (Z(11) @ Z(7)) + 0.125 * (Z(11) @ Z(9)) + -0.125 * (Z(7) @ Z(9) @ Z(4)) + -0.125 * (Z(11) @ Z(7) @ Z(4)) + -0.125 * (Z(11) @ Z(9) @ Z(4)) + -0.125 * (Z(11) @ Z(7) @ Z(9)) + 0.125 * (Z(11) @ Z(7) @ Z(9) @ Z(4)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(5) @ Z(10)) + 0.125 * (Z(5) @ Z(12)) + 0.125 * (Z(8) @ Z(10)) + 0.125 * (Z(12) @ Z(8)) + 0.125 * (Z(12) @ Z(10)) + -0.125 * (Z(5) @ Z(8) @ Z(10)) + -0.125 * (Z(5) @ Z(12) @ Z(8)) + -0.125 * (Z(5) @ Z(12) @ Z(10)) + -0.125 * (Z(12) @ Z(8) @ Z(10)) + 0.125 * (Z(5) @ Z(12) @ Z(8) @ Z(10)) + -0.0625 * Z(0) + -0.25 * Z(1) + 0.3125 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) + 0.25 * Z(5) + 0.3125 * Z(6) + 0.3125 * Z(7) + 0.3125 * Z(8) + 0.125 * Z(9) + 0.125 * Z(10) + 0.25 * Z(11) + 0.25 * Z(12)
11
13
3
{"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 46, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1100100000001", "1100010000010", "1010000001001", "1010000000110", "1001100000100", "1001010001000", "1001000100100", "1001000011000", "1001000001100", "1001000001001", "1001000000110", "1000101000100", "1000100000101", "1000100001001", "1000100000110", "1000011001000", "1000010001010", "1000010001001", "1000010000110", "0110100000001", "0110010000010", "0110000001001", "0110000000110", "0110000000011", "0110000100001", "0110000010010", "0101100010000", "0101010100000", "0101000100001", "0101000010010", "0101000110000", "0101000100100", "0100111000000", "0101000011000", "0100100100001", "0100101010000", "0100101000100", "0100101000001", "0100100010010", "0100100010001", "0100011001000", "0100011000010", "0100011100000", "0100010100010", "0100010100001", "0100010010010"], "largest_eigenvalue": 6.1875}
OPENQASM 3.0; include "stdgates.inc"; qubit[13] q; ry(0.2775732297863516) q[0]; rz(-0.3305087434857717) q[0]; ry(0.6345449181272201) q[1]; rz(0.15931776173284024) q[1]; cx q[1], q[0]; ry(0.17013468057679076) q[0]; rz(0.23989733092694884) q[0]; ry(-0.09336591035330995) q[1]; rz(-0.3558798878985864) q[1]; ry(0.6843886038977415) q[2]; rz(0.19151158251558112) q[2]; ry(0.03791266297523649) q[3]; rz(-0.4190659203460903) q[3]; cx q[3], q[2]; ry(-0.8104550858675617) q[2]; rz(-0.35329077489386757) q[2]; cx q[2], q[1]; ry(0.15989265517664364) q[1]; rz(0.27834947677877975) q[1]; cx q[1], q[0]; ry(-0.42855621062972493) q[0]; rz(0.6492891729010996) q[0]; ry(0.9350758787278531) q[1]; rz(-0.22419204497787182) q[1]; ry(1.0005416408627894) q[2]; rz(-0.2879934859849461) q[2]; ry(1.1772288807946816) q[3]; rz(-0.22703431906696675) q[3]; ry(-0.17971102873783695) q[4]; rz(-0.5348340876475711) q[4]; ry(-0.07570081925425122) q[5]; rz(-0.5629568151206856) q[5]; cx q[5], q[4]; ry(0.007789470007810565) q[4]; rz(-0.631991288876457) q[4]; cx q[4], q[3]; ry(-0.96378980698759) q[3]; rz(-0.26587679230457884) q[3]; cx q[3], q[2]; ry(-0.33325244724977604) q[2]; rz(0.4490786158740043) q[2]; cx q[2], q[1]; ry(-1.5953013863572365) q[1]; rz(0.9345660338009878) q[1]; cx q[1], q[0]; ry(0.022094109168499087) q[1]; rz(-0.15239075446731756) q[1]; ry(0.6130194338417743) q[2]; rz(-0.10700529307979478) q[2]; ry(1.919272670262139) q[3]; rz(0.14167783825832386) q[3]; ry(1.6161700570035422) q[4]; rz(-0.0785836794788834) q[4]; ry(0.3905623062379048) q[5]; rz(1.096314362249667) q[5]; ry(1.1222819806574604) q[6]; rz(0.4239342889584007) q[6]; ry(-0.04256844821400038) q[7]; rz(-0.5683046521661689) q[7]; cx q[7], q[6]; ry(0.3116532609584803) q[6]; rz(0.025403977651576412) q[6]; cx q[6], q[5]; ry(0.6185718422003463) q[5]; rz(0.30668300638398527) q[5]; cx q[5], q[4]; ry(1.432195591884534) q[4]; rz(0.07420285280406191) q[4]; cx q[4], q[3]; ry(1.443750305208767) q[3]; rz(-0.2233496616120937) q[3]; cx q[3], q[2]; ry(1.3451792217985574) q[2]; rz(-0.031144259414555037) q[2]; cx q[2], q[1]; ry(0.3686130974116559) q[3]; rz(-0.187805937822922) q[3]; ry(0.7077936470899245) q[4]; rz(0.07624560588281136) q[4]; ry(-0.07579786478746346) q[5]; rz(1.001687372126653) q[5]; ry(0.6124642019989286) q[6]; rz(-0.1928799294899513) q[6]; ry(0.06513745647407478) q[7]; rz(-0.2637936510130776) q[7]; ry(-0.05466487550058) q[8]; rz(0.09477479970993814) q[8]; ry(0.11436081000668716) q[9]; rz(0.681502108137434) q[9]; cx q[9], q[8]; ry(0.07167676909829493) q[8]; rz(0.6643733894082137) q[8]; cx q[8], q[7]; ry(-0.010911858642321134) q[7]; rz(0.5480704007434068) q[7]; cx q[7], q[6]; ry(-0.06878601488842358) q[6]; rz(-0.8858494729633472) q[6]; cx q[6], q[5]; ry(0.1179641676870141) q[5]; rz(-0.2933240566517442) q[5]; cx q[5], q[4]; ry(0.8713579325087579) q[4]; rz(-0.09599522514337842) q[4]; cx q[4], q[3]; ry(0.11447781588586763) q[5]; rz(0.7298195482577333) q[5]; ry(-0.1980109367505253) q[6]; rz(-0.6945328112966223) q[6]; ry(-0.18896498295597966) q[7]; rz(-1.0017328118443274) q[7]; ry(0.622663796701088) q[8]; rz(-0.281155551707008) q[8]; ry(0.20958421539783811) q[9]; rz(-0.2503257173334957) q[9]; ry(-0.2725368475927446) q[10]; rz(0.2741571305896597) q[10]; ry(0.04780841514380617) q[11]; rz(0.06573908045576606) q[11]; cx q[11], q[10]; ry(0.21570109589518704) q[10]; rz(-0.3802743499350922) q[10]; cx q[10], q[9]; ry(1.4880952428177898) q[10]; rz(0.16649848921167992) q[10]; ry(0.10877357101497384) q[11]; rz(0.16820716012235287) q[11]; ry(-0.23513673566731697) q[9]; rz(-0.06195702359448903) q[9]; cx q[9], q[8]; ry(-0.5329750221497721) q[8]; rz(-0.56989352342745) q[8]; cx q[8], q[7]; ry(-0.24390666056541005) q[7]; rz(0.43501387420143955) q[7]; cx q[7], q[6]; ry(1.7242609545727585) q[6]; rz(0.30063531006425487) q[6]; cx q[6], q[5]; ry(0.4027181287983679) q[7]; rz(-0.9301320836517649) q[7]; ry(1.167700823103403) q[8]; rz(0.015839664705366477) q[8]; ry(1.7339100849456879) q[9]; rz(0.04510354956261266) q[9]; ry(0.05863223322937205) q[12]; rz(0.12813047354001444) q[12]; cx q[12], q[11]; ry(0.48781037768234037) q[11]; rz(-0.2080607737890343) q[11]; cx q[11], q[10]; ry(-0.6436455184645203) q[10]; rz(0.37509551848490014) q[10]; cx q[10], q[9]; ry(0.7889895058359478) q[10]; rz(-0.280070125043435) q[10]; ry(1.1921004035422742) q[11]; rz(0.21305044893547495) q[11]; ry(-0.10449329248836202) q[12]; rz(0.3075580610992738) q[12]; cx q[12], q[11]; ry(1.4216964557775555) q[11]; rz(0.6193489439555219) q[11]; cx q[11], q[10]; ry(1.4741210934309539) q[10]; rz(-0.06633563778851194) q[10]; ry(-0.028821471245577008) q[11]; rz(0.05009172119580395) q[11]; ry(0.17933893447297508) q[12]; rz(0.6818598601051113) q[12]; cx q[12], q[11]; ry(1.3156440435800467) q[9]; rz(-0.24904813866420442) q[9]; cx q[9], q[8]; ry(1.2020387709285119) q[8]; rz(-0.0038367374694028705) q[8]; cx q[8], q[7]; ry(0.16283768652766722) q[9]; rz(-0.14585406549880262) q[9]; cx q[10], q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x121; input float[64] x122; input float[64] x123; input float[64] x124; input float[64] x125; input float[64] x126; input float[64] x127; input float[64] x128; input float[64] x129; input float[64] x13; input float[64] x130; input float[64] x131; input float[64] x132; input float[64] x133; input float[64] x134; input float[64] x135; input float[64] x136; input float[64] x137; input float[64] x138; input float[64] x139; input float[64] x14; input float[64] x140; input float[64] x141; input float[64] x142; input float[64] x143; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[13] c; qubit[13] q; ry(x0) q[0]; rz(x1) q[0]; ry(x2) q[1]; rz(x3) q[1]; ry(x4) q[2]; rz(x5) q[2]; ry(x6) q[3]; rz(x7) q[3]; ry(x8) q[4]; rz(x9) q[4]; ry(x10) q[5]; rz(x11) q[5]; ry(x12) q[6]; rz(x13) q[6]; ry(x14) q[7]; rz(x15) q[7]; ry(x16) q[8]; rz(x17) q[8]; ry(x18) q[9]; rz(x19) q[9]; ry(x20) q[10]; rz(x21) q[10]; ry(x22) q[11]; rz(x23) q[11]; ry(x24) q[12]; rz(x25) q[12]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; cx q[9], q[8]; cx q[11], q[10]; ry(x26) q[1]; rz(x27) q[1]; ry(x28) q[2]; rz(x29) q[2]; cx q[2], q[1]; ry(x30) q[3]; rz(x31) q[3]; ry(x32) q[4]; rz(x33) q[4]; cx q[4], q[3]; ry(x34) q[5]; rz(x35) q[5]; ry(x36) q[6]; rz(x37) q[6]; cx q[6], q[5]; ry(x38) q[7]; rz(x39) q[7]; ry(x40) q[8]; rz(x41) q[8]; cx q[8], q[7]; ry(x42) q[9]; rz(x43) q[9]; ry(x44) q[10]; rz(x45) q[10]; cx q[10], q[9]; ry(x46) q[11]; rz(x47) q[11]; cx q[12], q[11]; ry(x48) q[0]; rz(x49) q[0]; ry(x50) q[1]; rz(x51) q[1]; ry(x52) q[2]; rz(x53) q[2]; ry(x54) q[3]; rz(x55) q[3]; ry(x56) q[4]; rz(x57) q[4]; ry(x58) q[5]; rz(x59) q[5]; ry(x60) q[6]; rz(x61) q[6]; ry(x62) q[7]; rz(x63) q[7]; ry(x64) q[8]; rz(x65) q[8]; ry(x66) q[9]; rz(x67) q[9]; ry(x68) q[10]; rz(x69) q[10]; ry(x70) q[11]; rz(x71) q[11]; ry(x72) q[12]; rz(x73) q[12]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; cx q[9], q[8]; cx q[11], q[10]; ry(x74) q[1]; rz(x75) q[1]; ry(x76) q[2]; rz(x77) q[2]; cx q[2], q[1]; ry(x78) q[3]; rz(x79) q[3]; ry(x80) q[4]; rz(x81) q[4]; cx q[4], q[3]; ry(x82) q[5]; rz(x83) q[5]; ry(x84) q[6]; rz(x85) q[6]; cx q[6], q[5]; ry(x86) q[7]; rz(x87) q[7]; ry(x88) q[8]; rz(x89) q[8]; cx q[8], q[7]; ry(x90) q[9]; rz(x91) q[9]; ry(x92) q[10]; rz(x93) q[10]; cx q[10], q[9]; ry(x94) q[11]; rz(x95) q[11]; cx q[12], q[11]; ry(x96) q[0]; rz(x97) q[0]; ry(x98) q[1]; rz(x99) q[1]; ry(x100) q[2]; rz(x101) q[2]; ry(x102) q[3]; rz(x103) q[3]; ry(x104) q[4]; rz(x105) q[4]; ry(x106) q[5]; rz(x107) q[5]; ry(x108) q[6]; rz(x109) q[6]; ry(x110) q[7]; rz(x111) q[7]; ry(x112) q[8]; rz(x113) q[8]; ry(x114) q[9]; rz(x115) q[9]; ry(x116) q[10]; rz(x117) q[10]; ry(x118) q[11]; rz(x119) q[11]; ry(x120) q[12]; rz(x121) q[12]; cx q[1], q[0]; cx q[3], q[2]; cx q[5], q[4]; cx q[7], q[6]; cx q[9], q[8]; cx q[11], q[10]; ry(x122) q[1]; rz(x123) q[1]; ry(x124) q[2]; rz(x125) q[2]; cx q[2], q[1]; ry(x126) q[3]; rz(x127) q[3]; ry(x128) q[4]; rz(x129) q[4]; cx q[4], q[3]; ry(x130) q[5]; rz(x131) q[5]; ry(x132) q[6]; rz(x133) q[6]; cx q[6], q[5]; ry(x134) q[7]; rz(x135) q[7]; ry(x136) q[8]; rz(x137) q[8]; cx q[8], q[7]; ry(x138) q[9]; rz(x139) q[9]; ry(x140) q[10]; rz(x141) q[10]; cx q[10], q[9]; ry(x142) q[11]; rz(x143) q[11]; cx q[12], q[11]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11]; c[12] = measure q[12];
null
{"circuits": [], "gradients": []}
[ "IIIIIIIIIIIZZ", "IIIIIIIIIZZII", "IIIIIIIIZIZII", "IIIIIIIZIIZII", "IIIIIIIIZZIII", "IIIIIIIZIZIII", "IIIIIIIZZIIII", "IIIIIIIIZZZII", "IIIIIIIZIZZII", "IIIIIIIZZIZII", "IIIIIIIZZZIII", "IIIIIIIZZZZII", "IIIIIIIIIIZIZ", "IIIIIIZIIIIIZ", "IIIIIZIIIIIIZ", "IIIIZIIIIIIIZ", "IIIIIIZIIIZ...
[ 0.5, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0.125, -0.125, 0.125, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625, -0.0625...
0.970122
[ 0.2775732297863516, -0.3305087434857717, 0.6345449181272201, 0.15931776173284024, 0.6843886038977415, 0.19151158251558112, 0.03791266297523649, -0.4190659203460903, -0.17971102873783695, -0.5348340876475711, -0.07570081925425122, -0.5629568151206856, 1.1222819806574604, 0.4239342889584007,...
{ "n_parameters": 144, "n_qubits": 13, "optimal_eigenvalue": -3.8125, "target_ratio": 0.97, "target_value": -3.698125 }
91