signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 128 2.57k | circuit_with_params stringlengths 106 17.5k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6431010726793772415 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [3, 4, 6], [1, 2, 3], [3, 4, 5], [0, 3, 6], [2, 3, 4], [1, 4, 6], [4, 5, 6]]} | {"states": [43, 27], "expectation_value": -0.09645673516761627, "params": [[-0.0621], [0.0732]], "bitstrings": ["1010100", "1100100"], "total_optimization_steps": 10, "probabilities": [0.00829022513236953, 0.008339799692740069], "optimization_time": 0.6871547698974609} | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(1) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["1000100", "1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
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[4], q[2];
rz(-0.0414) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.0621) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.0207) q[5];
cx q[2], q[5];
cx q[4], q[3];
rz(-0.0621) q[3];
cx q[4], q[3];
cx q[2], q[3... | 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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(x1)... | null | {"circuits": [], "gradients": []} |
bdf4ac9aea3c01fe4a0763ed16a2cb41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 5}, {... | {"states": [179, 121], "expectation_value": -21.433364937708493, "params": [[-0.0413, 0.0018000000000000002], [0.0821, 0.0718]], "bitstrings": ["01001100", "10000110"], "total_optimization_steps": 10, "probabilities": [0.012526218221309494, 0.014884627473689268], "optimization_time": 5.061312675476074} | 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(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 10.5 * Z(0) + 13.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.3304) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3304) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3304) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3304) q[3];
cx q[1], q[3];
cx q... | 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] ... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-4218162182805937714 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 7], [2, 3, 4, 5, 6, 7], [0, 1, 2, 3, 4, 6, 7], [0, 4, 5, 6], [1, 2, 3, 4, 5, 6]]} | {"states": [103, 231], "expectation_value": -0.9018558862944885, "params": [1.2924, -0.0128, 0.9326000000000001, 0.0085, 1.2891000000000001, 0.0017000000000000001, 1.2884, 0.009600000000000001, 1.2904, 0.0045000000000000005, 1.29, 0.0026000000000000003, 1.0615, 0.0066, 0.8875000000000001, 0.0022, 1.1363, 0.0074, 0.8797... | 0.07380952380952381 * (Z(0) @ Z(1)) + 0.10714285714285715 * (Z(3) @ Z(1)) + 0.07380952380952381 * (Z(3) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.07380952380952381 * (Z(7) @ Z(1)) + 0.07380952380952381 * (Z(7) @ Z(0)) + 0.10714285714285... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.0404761904761908, -1.0404761904761908], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0071428571428576, "smallest_bitstrings": ["00011000", "00010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.2924) q[0];
rz(-0.0128) q[0];
rx(1.2891) q[1];
rz(0.0017) q[1];
rx(1.2904) q[2];
rz(0.0045) q[2];
rx(1.0615) q[3];
rz(0.0066) q[3];
rx(1.1363) q[4];
rz(0.0074) q[4];
rx(1.2922) q[5];
rz(0.0021) q[5];
rx(1.2896) q[6];
rz(-0.0011) q[6];
rx(1.2884) q[7];
rz(... | 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[... | null | {"circuits": [], "gradients": []} |
-2667211429212715739 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 12, 6, 7], [9, 5], [10, 5], [8, 10, 11, 7], [1, 2, 3, 7, 8], [0, 3], [4, 6]]} | {"states": [2802, 2803], "expectation_value": -1.9953440472949944, "params": [[[-0.0026000000000000003, 0.006900000000000001, 0.004, 0.004], [1.0462, -0.0027, 1.0518, 0.0095], [-0.0029000000000000002, 0.006200000000000001, 0.009300000000000001, 0.0021000000000000003], [0.9608000000000001, -0.0026000000000000003, 1.0941... | 0.08333333333333333 * (Z(2) @ Z(12)) + 0.08333333333333333 * (Z(6) @ Z(12)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(12)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.08333333333333333 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(5)) + 0.05 ... | 12 | 13 | 1 | {"smallest_eigenvalues": [-2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.7, "smallest_bitstrings": ["1010100001100", "1010110000010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0026) q[0];
rz(0.0069) q[0];
ry(1.0462) q[1];
rz(-0.0027) q[1];
ry(-0.0029) q[2];
rz(0.0062) q[2];
ry(0.9608) q[3];
rz(-0.0026) q[3];
ry(-0.0052) q[4];
rz(0.008) q[4];
ry(0.869) q[5];
rz(-0.0026) q[5];
ry(1.6127) q[6];
rz(0.0019) q[6];
ry(0.3874) 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[... | null | {"circuits": [], "gradients": []} |
58b7c564994d921beb054319f164fa81 | 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": 4}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"sour... | {"states": [492, 488], "expectation_value": -2.5513752449727747, "params": [1.6144, 0.0083, 1.6142, 0.0097, 1.6073000000000002, 0.0063, 1.5842, 0.0021000000000000003, 0.0031000000000000003, 0.0025, 1.5952000000000002, 0.0006000000000000001, 1.5695000000000001, 0.0018000000000000002, 1.5515, 0.0051, 0.1448, 0.0044, 0.00... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(7) + 0.0 * Z(5) | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111001", "000011101", "010010110", "000110011", "000010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6144) q[0];
rz(0.0083) q[0];
rx(1.6142) q[1];
rz(0.0097) q[1];
rx(1.6073) q[2];
rz(0.0063) q[2];
rx(1.5842) q[3];
rz(0.0021) q[3];
rx(0.0031) q[4];
rz(0.0025) q[4];
rx(1.5952) q[5];
rz(0.0006) q[5];
rx(1.5695) q[6];
rz(0.0018) q[6];
rx(1.5515) q[7];
rz(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[... | null | {"circuits": [], "gradients": []} |
647765b6ab0983718acd0fd4721756f9 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 2047], "expectation_value": -15.142425485217656, "params": [0.0167, 0.13570000000000002, 0.037200000000000004, 1.0269000000000001, 0.0608, -0.5902000000000001, -0.0317, 1.6005, -0.17700000000000002, 2.2106, -0.036000000000000004, 1.8305, -0.6022000000000001, 0.058300000000000005, 0.019200000000000002, 1.... | -2.0 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(2) @ Z(10)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(3) @ Z(10)) + -2.0 * (Z(3) @ Z(9)) +... | 6 | 11 | 2 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0167) q[0];
rz(0.1357) q[0];
rx(0.0608) q[1];
rz(-0.5902) q[1];
rx(-0.177) q[2];
rz(2.2106) q[2];
rx(-0.6022) q[3];
rz(0.0583) q[3];
rx(-0.8378) q[4];
rz(2.0316) q[4];
rx(-0.8048) q[5];
rz(2.0634) q[5];
rx(-1.0455) q[6];
rz(1.7298) q[6];
rx(1.0636) q[7]... | 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] x11;
in... | {"node": 6} | {"circuits": [], "gradients": []} |
16f78d4600a63f9e28571cad22ffe3ee | 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": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [185, 182], "expectation_value": -11.6993976024814, "params": [[-0.0393], [0.0772]], "bitstrings": ["101000110", "101001001"], "total_optimization_steps": 10, "probabilities": [0.004274611021365353, 0.004874002988803149], "optimization_time": 2.045548439025879} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.3537) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3537) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.3537) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.3537) q[4];
cx q[2], q[... | 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];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
1ed9ba04ea328fdad94a00f61e3a128c | 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": 11}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 5, "source":... | {"states": [0, 2045], "expectation_value": -25.519995349719704, "params": [[[0.0008, -0.0024000000000000002], [-0.009000000000000001, 1.6144], [0.0023, 0.0035], [0.0025, 0.0026000000000000003], [0.003, -0.0028], [0.0036000000000000003, 0.0026000000000000003], [0.0024000000000000002, -0.0026000000000000003], [0.0025, -0... | 0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -1.75 * (Z(6) @ Z(1)) + -1.25 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(6)) + -0.25 * (Z(10) @ Z(4)) + -0.25 * (Z(10) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -1.5 * (Z(7)... | 15 | 12 | 2 | {"smallest_eigenvalues": [-26.0, -26.0, -26.0, -26.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -25.0, "smallest_bitstrings": ["100000000000", "100000000110", "100000000100", "100000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0008) q[0];
ry(-0.009) q[1];
ry(0.0023) q[2];
ry(0.0025) q[3];
ry(0.003) q[4];
ry(0.0036) q[5];
ry(0.0024) q[6];
ry(0.0025) q[7];
ry(-0.0026) q[8];
ry(0.0025) q[9];
ry(-0.0861) q[10];
ry(-0.0044) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
b91502863ddffd170e0084616022b75f | connected_components | adaptive_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": 2, "target": 6},... | {"states": [127, 1663], "expectation_value": -18.883445832560987, "params": null, "bitstrings": ["11110000000", "00110000000"], "total_optimization_steps": 100, "probabilities": [0.1269185585102941, 0.4290577040384221], "optimization_time": 267.7932548522949} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + 1.5 * (Z(10) @ Z(6)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-24.0, -24.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -23.0, "smallest_bitstrings": ["00111100000", "00110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] 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];
h q[10];
cry(1.5708) q[2], q[5];
cry(1.5708) q[9], q[10];
cry(1.5708) q[6], q[8];
cry(1.5634) q[8], q[7];
cry(1.1788) q[7], q[6];
ry(1.0648) q[9];
cry(0.0634) q[7], q[10];
ry(-0.... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\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];\nh q[10];\ncry(1.5708) 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[... |
5d3a7f0fc0229f8fe840773b48e2ac4d | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [4511, 5023], "expectation_value": -1.4354013833552024, "params": [1.3024, 0.2775, 0.2938, 0.5677, 0.2907, 0.5464, 0.8344, -0.31970000000000004, 1.2857, -0.3693, 1.2487000000000001, -0.1801, 0.6023000000000001, -0.40590000000000004, 0.7473000000000001, -0.338, 0.8336, -0.3437, 1.2916, 0.0993, 1.2933000000000... | 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)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 18 | 13 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.687... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.3024) q[0];
rz(0.2775) q[0];
rx(0.2938) q[1];
rz(0.5677) q[1];
rx(0.2907) q[2];
rz(0.5464) q[2];
rx(0.8344) q[3];
rz(-0.3197) q[3];
rx(1.2857) q[4];
rz(-0.3693) q[4];
rx(1.2487) q[5];
rz(-0.1801) q[5];
rx(0.6023) q[6];
rz(-0.4059) q[6];
rx(0.7473) 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[... | null | {"circuits": [], "gradients": []} |
edf882d81ff9cc6dd04b2b372b99a445 | 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": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [95, 127], "expectation_value": -7.991832960744636, "params": null, "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 98, "probabilities": [0.11657775813715437, 0.5751793152187943], "optimization_time": 169.7172510623932} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.5708) q[2];
cry(1.5708) q[2], q[4];
cry(1.5706) q[2], q[6];
cry(1.57) q[3], q[5];
cry(1.5707) q[5], q[1];
cry(1.566) q[5], q[7];
cry(1.0109) q[7], q[3];
ry(0.2929) q[5];
cry(-1.4176) q[7], q[... | 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[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[... |
81418b938a55a030c8c4d090ba9395c3 | 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": 6}, {"source": 0, "target": 9}, {"source": 1, "target": 2}, {"source": 2, "target": 7}, {"source": 3, "target":... | {"states": [346, 347], "expectation_value": -4.260792246517828, "params": [0.0732, -0.0063, 1.233, 1.1417000000000002, 1.2983, 0.37920000000000004, 1.3026, 1.304, 0.4133, 0.06420000000000001, 1.3044, 1.2986, 1.3041, 1.2982, 0.0057, -0.0048000000000000004, 1.2978, 1.2962, 0.8368, 0.7335, 0.32270000000000004, 0.681700000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.0 * Z(9) + -0.5 * Z(2) + 0.0 * Z(1) + -1.5 * Z(7) + 0.0 * Z(3) + -0.5 * Z(4) + 0.0 * Z(5) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010100100", "1100100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0732) q[0];
ry(1.233) q[1];
ry(1.2983) q[2];
ry(1.3026) q[3];
ry(0.4133) q[4];
ry(1.3044) q[5];
ry(1.3041) q[6];
ry(0.0057) q[7];
ry(1.2978) q[8];
ry(0.8368) q[9];
crx(0.3227) q[9], q[0];
crx(0.8779) q[8], q[9];
crx(-0.8098) q[7], q[8];
crx(-0.0036) 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[... | null | {"circuits": [], "gradients": []} |
022f37154ef60c6f79ecd211ae444bfa | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [134, 142], "expectation_value": -4.558828521556662, "params": [0.20700000000000002, 0.0008, 0.2053, -0.0001, -0.0038, 0.1105, -0.0055000000000000005, 0.1116, 0.0601, 0.09230000000000001, 0.0575, 0.09480000000000001, 0.0019, 0.1153, -0.0032, 0.11120000000000001, 0.1967, 0.004200000000000001, 0.2005, 0.038900... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * Z(1) + -0.5 * Z(0) + -1.0 *... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.207) q[0];
rz(0.0008) q[0];
rx(-0.0038) q[1];
rz(0.1105) q[1];
rx(0.0601) q[2];
rz(0.0923) q[2];
rx(0.0019) q[3];
rz(0.1153) q[3];
rx(0.1967) q[4];
rz(0.0042) q[4];
rx(0.2022) q[5];
rz(0.0011) q[5];
rx(0.2044) q[6];
rz(-0.0033) q[6];
rx(-0.0033) q[7];
rz(... | 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;
i... | null | {"circuits": [], "gradients": []} |
887b4295f8cc98df17e71ab4f87db0b8 | connected_components | adaptive_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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": ... | {"states": [315, 383], "expectation_value": -17.182150267636075, "params": null, "bitstrings": ["1011000100", "1010000000"], "total_optimization_steps": 100, "probabilities": [0.037945667811134405, 0.39301072434084106], "optimization_time": 218.537992477417} | -1.5 * (Z(0) @ Z(2)) + -4.0 * (Z(3) @ Z(4)) + -3.0 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + 1.5 * (Z(7) @ Z(4)) + -4.0 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.5 * (Z(1) @ Z(4)) + -4.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 1.5 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-35.5, -35.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -34.5, "smallest_bitstrings": ["0000000000", "1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(1.5708) q[9], q[4];
cry(1.57) q[7], q[3];
cry(1.5357) q[4], q[6];
cry(1.5709) q[3], q[8];
cry(1.1468) q[5], q[7];
cry(1.0707) q[6], q[9];
cry(-2.3728) q[6], q[4];
cry(0.9072)... | null | {"node": 0} | {"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];\ncry(1.5708) q[9], 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] = measu... |
2823f1676db6b0c7d5dfa9a08a2484d7 | 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": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [122, 106], "expectation_value": -63.761979818681304, "params": [[[0.0028, 1.2948000000000002], [-0.0023, 0.9672000000000001], [1.5721, -0.002], [1.5714000000000001, 0.0022], [0.7489, 0.5309], [1.5715000000000001, 0.0022], [0.0026000000000000003, 0.9278000000000001], [1.5708, 0.0023], [-0.0021000000000000003... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["110010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0028) q[0];
rz(1.2948) q[0];
rx(-0.0023) q[1];
rz(0.9672) q[1];
rx(1.5721) q[2];
rz(-0.002) q[2];
rx(1.5714) q[3];
rz(0.0022) q[3];
rx(0.7489) q[4];
rz(0.5309) q[4];
rx(1.5715) q[5];
rz(0.0022) q[5];
rx(0.0026) q[6];
rz(0.9278) q[6];
rx(1.5708) q[7];
rz(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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
7364134617263499022 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [2, 3], [1, 3], [0, 2], [2, 5]]} | {"states": [49, 37], "expectation_value": -2.21915150204026, "params": null, "bitstrings": ["001110", "011010"], "total_optimization_steps": 36, "probabilities": [0.05692182511708005, 0.8176165674452001], "optimization_time": 28.442668676376343} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[5], q[2];
cry(-1.0342) q[3], q[1];
ry(1.0293) q[3];
ry(-0.6992) q[1];
cry(-0.6534) q[0], q[2];
ry(0.9979) q[5];
cry(1.1473) q[5], q[0];
ry(-0.5076) q[2];
cry(-1.3843) q[0], q[4];
cry(0.4404) 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];\ncry(-1.0342) 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 ... |
b4764399bb7694871d7cf0cc7a871143 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -9.24999636362305, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 25, "probabilities": [1.8181884717417974e-06, 0.9999981818115276], "optimization_time": 13.675734043121338} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[3];
ry(1.5708) q[1];
cry(-1.5706) q[1], q[0];
ry(1.5708) q[4];
cry(1.5681) q[4], q[2];
cry(-0.0002) q[4], q[0];
cry(0.0001) q[4], q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = ... | 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(-1.5709) 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]... |
7f1f87f0cf2bbf74edb2b30972c9c166 | 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":... | {"states": [346, 345], "expectation_value": -61.47528904652274, "params": [[[0.5414, 0.125], [0.0359, 0.1874], [0.5987, 0.39630000000000004], [0.0826, 0.499], [0.1762, 0.5942000000000001], [0.1827, 0.3588], [0.0932, 0.5855], [0.5942000000000001, 0.5912000000000001], [0.3183, 0.14700000000000002]], [[0.5954, 0.3178], [0... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(3)) + 21.5 * Z(2) + 6.5 * Z(1) + 20.0 * ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["010100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5414) q[0];
ry(0.0359) q[1];
ry(0.5987) q[2];
ry(0.0826) q[3];
ry(0.1762) q[4];
ry(0.1827) q[5];
ry(0.0932) q[6];
ry(0.5942) q[7];
ry(0.3183) 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... | 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
-4057533796545964976 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 5], [0, 1, 3, 4], [0, 5, 6, 7], [2, 6], [2, 4, 7], [1, 4, 5], [3, 6], [0, 4, 7], [1, 4, 6]]} | {"states": [142, 245], "expectation_value": -0.4632142349010886, "params": [[-0.17320000000000002], [0.1693]], "bitstrings": ["01110001", "00001010"], "total_optimization_steps": 20, "probabilities": [0.006137971030858745, 0.006163175373607872], "optimization_time": 3.1509199142456055} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.41666666666666663 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.0833333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.7500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["00001010"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0289) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0866) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.1155) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.0289) q[5];
cx q[2], q[5];
cx q... | 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 ... | null | {"circuits": [], "gradients": []} |
00c47f772e828bc0d4453cbe4002ef93 | kclique | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [21, 7], "expectation_value": -12.59364044578392, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10610002632784891, 0.6139460215007818], "optimization_time": 84.44865036010742} | 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)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5577) q[1];
cry(-1.5708) q[6], q[3];
ry(0.8469) q[6];
cry(-1.5708) q[5], q[2];
cry(-1.5707) q[4], q[0];
ry(1.1096) q[4];
ry(-0.4548) q[0];
ry(0.8206) q[5];
ry(-0.3832) q[3];
ry(-0.335) q[2];
cry(0.4... | 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(-1.5577) 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", ... |
8ed7cc91faf8f25841f02066a68a347e | min_cut | vqe | {"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": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [0, 63], "expectation_value": -9.360855266286212, "params": [[[-0.013000000000000001, 0.8074], [-0.0027, 0.038400000000000004], [-0.0027, 0.003], [-0.0024000000000000002, 0.0033], [-0.002, 0.0018000000000000002], [-1.0557, 0.1394], [0.031900000000000005, -1.1287]], [[0.0027, -0.0074], [-0.0026000000000000003... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 15 | 7 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.013) q[0];
ry(-0.0027) q[1];
ry(-0.0027) q[2];
ry(-0.0024) q[3];
ry(-0.002) q[4];
ry(-1.0557) q[5];
ry(0.0319) q[6];
cx q[6], q[0];
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(0.8074) q[0];
ry(0.0384) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
0e07c18cfcd6c70f78e81e85c4e65871 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -2.0203395079825794, "params": [0.5328, 0.5262, 0.0031000000000000003, 0.0023, 0.5323, 0.5227, -0.00030000000000000003, 0.0066, -1.2456, -1.09, 0.42760000000000004, 0.4224, 0.9206000000000001, 0.7256, 0.47750000000000004, 0.4811, 0.0044, -0.0032, 0.5266000000000001, 0.522... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0006875000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0006875000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 16 | 3 | {"smallest_eigenvalues": [-2.0231249999999603], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999998973, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.5328) q[0];
ry(0.0031) q[1];
ry(0.5323) q[2];
ry(-0.0003) q[3];
ry(-1.2456) q[4];
ry(0.4276) q[5];
ry(0.9206) q[6];
ry(0.4775) q[7];
ry(0.0044) q[8];
ry(0.5266) q[9];
ry(0.0138) q[10];
ry(0.5285) q[11];
ry(0.0154) q[12];
ry(0.5312) q[13];
ry(0.0079) q[1... | 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;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-4581343669091199592 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4, 5, 6, 7], [0, 1, 3, 4, 5, 6, 7], [0, 1, 2, 3, 4, 5, 7], [0, 1, 2, 4, 6, 7], [0, 2, 3, 4, 5, 6], [0, 2, 5, 6, 7], [0, 1, 2, 3, 6, 7], [1, 2, 3, 4, 6, 7]]} | {"states": [155, 185], "expectation_value": -0.96683580888707, "params": [[-0.3478], [0.3552]], "bitstrings": ["01100100", "01000110"], "total_optimization_steps": 40, "probabilities": [0.008119503445670237, 0.008119503445670237], "optimization_time": 3.6661243438720703} | 0.15714285714285714 * (Z(2) @ Z(3)) + 0.1476190476190476 * (Z(4) @ Z(3)) + 0.15714285714285714 * (Z(4) @ Z(2)) + 0.11428571428571427 * (Z(5) @ Z(3)) + 0.14047619047619048 * (Z(5) @ Z(2)) + 0.11428571428571427 * (Z(5) @ Z(4)) + 0.15714285714285714 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.157142857142857... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.533333333333333, "smallest_bitstrings": ["01000110"]} | OPENQASM 3.0;
include "stdgates.inc";
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[2];
rz(-0.1093) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.1027) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.1093) q[4];
cx q[2], q[4];
cx q[3], q[5];
rz(-0.0795) q[5];
cx q[3], q[5];
cx q... | 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... | null | {"circuits": [], "gradients": []} |
-5793055535118245962 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 3], [0, 2], [0, 4], [2, 5], [4, 5], [3, 7], [3, 6]]} | {"states": [56, 199], "expectation_value": -0.0390008500112625, "params": [[-0.045700000000000005], [0.0538]], "bitstrings": ["11000111", "00111000"], "total_optimization_steps": 10, "probabilities": [0.0042182349899632585, 0.0042182349899632585], "optimization_time": 0.539680004119873} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["11000111", "00111000"]} | OPENQASM 3.0;
include "stdgates.inc";
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[4], q[1];
rz(-0.0457) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(-0.0457) q[0];
cx q[4], q[0];
cx q[0], q[3];
rz(-0.0457) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.0457) q[2];
cx q[0], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0]... | null | {"circuits": [], "gradients": []} |
be5567089ea669cee1a7aa408c6e9375 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [340, 342], "expectation_value": -1.1937279713966495, "params": [[[1.1989, 0.5622], [0.3146, 0.7515000000000001], [1.1965000000000001, 1.1955], [1.2092, 1.1928], [1.2027, 1.2079], [1.2078, 1.2001000000000002], [1.2013, 1.2093], [1.2026000000000001, 0.0937], [1.2125000000000001, 1.1965000000000001]]], "bitstr... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.125, "smallest_bitstrings": ["010011100", "010011001", "100010110", "100011010", "010011010", "011010100", "011001001", "011000101", "010111... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.1989) q[0];
ry(0.3146) q[1];
ry(1.1965) q[2];
ry(1.2092) q[3];
ry(1.2027) q[4];
ry(1.2078) q[5];
ry(1.2013) q[6];
ry(1.2026) q[7];
ry(1.2125) 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... | 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]... | null | {"circuits": [], "gradients": []} |
366b890edf4c144f6141ff272a73bb47 | 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": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [1023, 511], "expectation_value": -0.3654807167709726, "params": [[0.059800000000000006], [-0.049300000000000004]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0012074209038899608, 0.0012217072817587527], "optimization_time": 1.5940194129943848} | -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 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) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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[4], q[2];
rz(-0.1794) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.1794) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.0598) q[3];
cx q[2], q[3];
cx q[6], q[5];
rz(-0.1196) q[5];
cx... | 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[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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[3];
... | {"node": 1} | {"circuits": [], "gradients": []} |
f54caa9b778a52f87145d0b0be176473 | 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}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"s... | {"states": [0, 8191], "expectation_value": -70.23205028321162, "params": [[[0.0024000000000000002, 1.6132], [0.0025, 0.0026000000000000003], [-0.0033, 0.0023], [0.0019, 0.0022], [0.0026000000000000003, 0.0023], [0.0019, 0.0023], [0.0021000000000000003, 0.0021000000000000003], [0.0023, 0.0023], [0.002, 0.002], [0.0016, ... | -3.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -4.5 * (Z(4) @ Z(1)) + -4.5 * (Z(4) @ Z(0)) + -4.5 * (Z(4) @ Z(2)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -4.5 * (Z(5) @ Z(4)) + -4.0 * (Z(6) @ Z(1)) + -4.0 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + -4.5 * (Z(6) @ Z(4)) + ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.5, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0024) q[0];
ry(0.0025) q[1];
ry(-0.0033) q[2];
ry(0.0019) q[3];
ry(0.0026) q[4];
ry(0.0019) q[5];
ry(0.0021) q[6];
ry(0.0023) q[7];
ry(0.002) q[8];
ry(0.0016) q[9];
ry(0.002) q[10];
ry(0.0024) q[11];
ry(0.0023) q[12];
cx q[12], q[0];
cx q[11], q[12];
cx... | 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[13] c;
qubit[13] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 9} | {"circuits": [], "gradients": []} |
4b58c5f638de8a7d9440a4e0a8e21441 | 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}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target":... | {"states": [1023, 1019], "expectation_value": -12.638709230955953, "params": [[[0.0531, 0.003], [-0.021400000000000002, -0.0026000000000000003], [-0.005, -0.0014], [-0.0112, 0.0019], [-0.0037, -0.0018000000000000002], [-0.033600000000000005, 0.0022], [0.012100000000000001, -0.0014], [0.25680000000000003, 0.0385], [0.81... | -0.75 * (Z(0) @ Z(8)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(10) @ Z(8)) + -1.0 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(5)) + 1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.25 * (Z(... | 15 | 11 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["10000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0531) q[0];
ry(-0.0214) q[1];
ry(-0.005) q[2];
ry(-0.0112) q[3];
ry(-0.0037) q[4];
ry(-0.0336) q[5];
ry(0.0121) q[6];
ry(0.2568) q[7];
ry(0.8171) q[8];
ry(-0.0016) q[9];
ry(3.1443) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx ... | 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[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
-8621533743706978632 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 5, 7], [0, 10, 4, 5], [4, 6], [2, 5, 6], [5, 6, 7, 10, 11], [9, 2, 6, 7], [9, 4, 1], [8, 1, 2, 7], [3, 11, 6, 7], [9, 3, 4, 7], [3, 6, 7, 9, 10], [2, 3, 7, 8, 11], [0, 6, 7, 9, 11], [0, 2, 3, 6, 10], [1, 11], [1, 5], [8, 1, 10, 6], [1, 3, 6, 7], [0, 1... | {"states": [3646, 3638], "expectation_value": -4.4798418708697465, "params": [1.5212, 1.6166, 1.347, 1.3476000000000001, 1.9791, 1.1509, 0.3607, 0.3584, -0.019, -0.0212, -0.011600000000000001, -0.0083, 1.5805, 1.5644, 1.5742, 1.5714000000000001, 0.7318, 0.7358, 1.6225, 1.5232, 1.6064, 1.5404, -0.0195, -0.02, 0.9604, 0.... | 0.3333333333333333 * (Z(2) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.3833333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(2)) + 0.05 * (Z(0) @ Z(7)) + 0.13333333333333333 * (Z(10) @ Z(5)) + 0.05 * (Z(10) @ Z(2)) + 0.1 * (Z(10) @ Z(7)) + 0.13333333333333333 * (... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.800000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.500000000000001, "smallest_bitstrings": ["000111001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5212) q[0];
ry(1.347) q[1];
ry(1.9791) q[2];
ry(0.3607) q[3];
ry(-0.019) q[4];
ry(-0.0116) q[5];
ry(1.5805) q[6];
ry(1.5742) q[7];
ry(0.7318) q[8];
ry(1.6225) q[9];
ry(1.6064) q[10];
ry(-0.0195) q[11];
crz(0.9604) q[11], q[0];
crz(0.0012) q[10], 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[... | null | {"circuits": [], "gradients": []} |
-6989154005446686930 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [0, 6], [2, 4], [3, 6]]} | {"states": [108, 120], "expectation_value": -0.0333481976057714, "params": [[0.07200000000000001], [-0.0585]], "bitstrings": ["0010011", "0000111"], "total_optimization_steps": 10, "probabilities": [0.008345071043082485, 0.008345071043082485], "optimization_time": 1.0520000457763672} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["0010011", "1101100", "0100101", "0110001", "1011010", "1001110", "1111000", "0000111"]} | OPENQASM 3.0;
include "stdgates.inc";
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[1];
rz(0.072) q[1];
cx q[5], q[1];
cx q[6], q[0];
rz(0.072) q[0];
cx q[6], q[0];
cx q[4], q[2];
rz(0.072) q[2];
cx q[4], q[2];
cx q[6], q[3];
rz(0.072) q[3];
cx q[6], q[3];
rz(0) q[5];
rz(0) q[... | 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[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[6], q[3];
... | null | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [211, 122], "expectation_value": -22.696001346586584, "params": [[0.031, 0.0078000000000000005], [-0.0791, -0.0751]], "bitstrings": ["00101100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011425517975971251, 0.014495333725086079], "optimization_time": 3.9261064529418945} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.217) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.217) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.217) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.217) q[3];
cx q[1], q[3];
cx q[0], 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[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
e83459ec898a9e90a39bc26be9e5667d | 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": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"sour... | {"states": [161, 225], "expectation_value": -7.008996620852383, "params": [[-0.024800000000000003, 1.2504, 0.4289, 1.3675000000000002, 0.0027, 0.0027, -0.0035, 0.0018000000000000002, 1.0416], [0.016, 0.7756000000000001, 0.011600000000000001, 0.6252, 0.0028, -0.0033, 0.00030000000000000003, 0.003, 1.0712000000000002], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ 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(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.5, "smallest_bitstrings": ["100011110", "110100110", "010011110", "010110110", "110001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0248) q[0];
ry(1.2504) q[1];
ry(0.4289) q[2];
ry(1.3675) q[3];
ry(0.0027) q[4];
ry(0.0027) q[5];
ry(-0.0035) q[6];
ry(0.0018) q[7];
ry(1.0416) 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];
... | 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[... | null | {"circuits": [], "gradients": []} |
094c21a567eedc9b0544914371dc9998 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": ... | {"states": [1023, 1022], "expectation_value": -3.1609049723455565, "params": [[-0.046], [0.0562]], "bitstrings": ["0000000000", "0000000001"], "total_optimization_steps": 10, "probabilities": [0.0018602295273844557, 0.001879529425295918], "optimization_time": 1.2132668495178223} | -3.5 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(3)) + -4.0 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + -3.0 * (Z(8) @ Z(0)) + -3.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + -2.5 * (Z(1) @ Z(6)) + 0.5 *... | 1 | 10 | 1 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["0000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[0];
rz(0.322) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.092) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.276) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(-0.092) q[6];
cx q[3]... | 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[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]... | {"node": 10} | {"circuits": [], "gradients": []} |
ee818e8b77e87d0e69dea2e46f987917 | 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": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": ... | {"states": [248, 1016], "expectation_value": -1.1521202082316226, "params": [[-0.0574], [0.0722]], "bitstrings": ["1100000111", "0000000111"], "total_optimization_steps": 10, "probabilities": [0.0015751280370111546, 0.0016259933979928332], "optimization_time": 2.384780168533325} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.1148) q[0];
cx q[1], q[0];
cx q[4], q[2];
rz(0.2296) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.0574) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.287) q[5];
cx q[... | 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... | {"node": 8} | {"circuits": [], "gradients": []} |
4593286d131e643309f088c8c3f9f810 | 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": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [5, 7], "expectation_value": -6.024870804623124, "params": [[-0.1037, -0.0004, -0.0008, 0.0076, 0.0022, 0.0931, 0.8963000000000001, -0.0441, 0.899], [-0.10940000000000001, 0.0046, 0.0011, -0.0022, 0.0041, -0.10110000000000001, 0.8946000000000001, 0.8812000000000001, 0.8951], [0.1908, 0.0055000000000000005, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -5.5, "smallest_bitstrings": ["110110110", "100110111", "111010110", "001111011", "111100101", "011111001", "111110100", "111000111", "011001111", "111111000", "0111... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.1037) q[0];
ry(-0.0004) q[1];
ry(-0.0008) q[2];
ry(0.0076) q[3];
ry(0.0022) q[4];
ry(0.0931) q[5];
ry(0.8963) q[6];
ry(-0.0441) q[7];
ry(0.899) 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];... | 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[... | null | {"circuits": [], "gradients": []} |
6771b778b0f6a5f528500d957ca14d09 | 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":... | {"states": [697, 681], "expectation_value": -55.1929796399458, "params": [1.1009, 0.13040000000000002, 0.6919000000000001, 0.31320000000000003, 1.0993, 0.0205, 0.001, 0.7399, 1.1024, 0.1545, 0.7447, 0.3476, 1.1058000000000001, 0.1173, 0.5291, 0.30210000000000004, 0.6131, 0.5323, 1.1011, 0.1945, 1.1036000000000001, 0.00... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(9) @ Z(0)) + 6.0 * (Z(9) @ Z(8)) + 22.0 * Z(0) + 21.0 * Z(2) + 2.5 * ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["0101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1009) q[0];
rz(0.1304) q[0];
rx(0.6919) q[1];
rz(0.3132) q[1];
rx(1.0993) q[2];
rz(0.0205) q[2];
rx(0.001) q[3];
rz(0.7399) q[3];
rx(1.1024) q[4];
rz(0.1545) q[4];
rx(0.7447) q[5];
rz(0.3476) q[5];
rx(1.1058) q[6];
rz(0.1173) q[6];
rx(0.5291) q[7];
rz(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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
3a47978bfb976fd6248810daacdb4903 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [0, 596], "expectation_value": -3.273862440598939, "params": [0.6992, 0.0165, 0.7036, 0.0029000000000000002, 0.4597, 0.009000000000000001, -0.3655, 0.003, -0.3239, -0.0005, 0.2499, 0.006500000000000001, 0.7082, 0.014400000000000001, 0.7071000000000001, 0.0037, 0.7017, -0.1073, 0.6353, 0.007, 0.6992, 0.0184, ... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0111001101", "0111001011", "0110101101", "0110101011", "0110010001", "0110000000"... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6992) q[0];
rz(0.0165) q[0];
rx(0.4597) q[1];
rz(0.009) q[1];
rx(-0.3239) q[2];
rz(-0.0005) q[2];
rx(0.7082) q[3];
rz(0.0144) q[3];
rx(0.7017) q[4];
rz(-0.1073) q[4];
rx(0.6992) q[5];
rz(0.0184) q[5];
rx(0.6875) q[6];
rz(0.0207) q[6];
rx(0.6846) q[7];
r... | 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
a496643cb2e08d855373b91d187c0135 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [94, 93], "expectation_value": -12.058874762016348, "params": [[-0.043300000000000005, -0.0344], [0.0668, 0.0707]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.012740274094428294, 0.014893137686220899], "optimization_time": 2.7202517986297607} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 3.0 * Z(0) + 6.0 * Z(1) + 1.5 * Z(2) + 10.0 * Z(4) + 10.5 * Z(3) + 10.5 * Z(5) + 8.0 * Z(6) + 12.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.5, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
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[0], q[1];
rz(-0.3897) q[1];
cx q[0], q[1];
cx q[2], q[4];
rz(-0.3897) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.3897) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(-0.3897) q[3];
cx q[4], q[3];
cx q... | 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
-167842880635178175 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 4, 6], [1, 2, 5, 6], [1, 2, 3, 4, 5], [0, 2, 5], [0, 1, 3, 4, 5], [0, 2, 6], [0, 1, 2, 4]]} | {"states": [107, 103], "expectation_value": -0.9355713030063929, "params": [[0.34640000000000004], [-0.33580000000000004]], "bitstrings": ["0010100", "0011000"], "total_optimization_steps": 40, "probabilities": [0.01799992306391712, 0.01835219881322958], "optimization_time": 2.146409749984741} | 0.13333333333333333 * (Z(0) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.1 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(1) @ Z(0)) + 0.18333333333333335 * (Z(1) @ Z(4)) + 0.0833333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7333333333333334, "smallest_bitstrings": ["0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[0];
rz(0.0924) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.127) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.1501) q[4];
cx q[0], q[4];
cx q[3], q[6];
rz(0.0577) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz... | 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... | null | {"circuits": [], "gradients": []} |
a653bf4ae13dff24b4aa2c23cb3a7ee5 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [165, 167], "expectation_value": -2.973447953789952, "params": [0.8003, -0.003, -0.0014, 0.4766, 0.8016000000000001, 0.0806, 0.2605, 0.542, 0.2495, 0.4677, 0.8084, 0.311, 0.7966000000000001, 0.0044, 0.7991, 0.0039000000000000003, 0.8054, 0.0014, -0.001, 0.0, 0.8003, 0.0041, 0.24700000000000003, 0.0092, 0.239... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(7) + 0.0 * Z(2) + -0.5 * Z(6) | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["01011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8003) q[0];
rz(-0.003) q[0];
rx(-0.0014) q[1];
rz(0.4766) q[1];
rx(0.8016) q[2];
rz(0.0806) q[2];
rx(0.2605) q[3];
rz(0.542) q[3];
rx(0.2495) q[4];
rz(0.4677) q[4];
rx(0.8084) q[5];
rz(0.311) q[5];
rx(0.7966) q[6];
rz(0.0044) q[6];
rx(0.7991) q[7];
rz(0.0... | 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[... | null | {"circuits": [], "gradients": []} |
eb532b3fe9f318ccb3658a6712436b91 | 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": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -8.551836424828089, "params": [0.0028, 0.4258, 0.0026000000000000003, 0.31170000000000003, 0.005200000000000001, 0.3221, -0.0013000000000000002, 0.0339, 0.0036000000000000003, 0.36760000000000004, -0.0927, 0.3393, 0.0016, 0.457, 0.6028, -0.0017000000000000001, 0.0038, 0.431100000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 4 | 8 | 3 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0028) q[0];
rz(0.4258) q[0];
rx(0.0026) q[1];
rz(0.3117) q[1];
rx(0.0052) q[2];
rz(0.3221) q[2];
rx(-0.0013) q[3];
rz(0.0339) q[3];
rx(0.0036) q[4];
rz(0.3676) q[4];
rx(-0.0927) q[5];
rz(0.3393) q[5];
rx(0.0016) q[6];
rz(0.457) q[6];
rx(0.6028) q[7];
rz(-... | 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-4590945136126999460 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 1], [0, 2], [3, 7], [0, 4], [5, 7], [0, 7], [3, 5], [2, 7], [2, 5], [0, 3], [6, 7]]} | {"states": [150, 134], "expectation_value": -2.6848102002627066, "params": null, "bitstrings": ["01101001", "01111001"], "total_optimization_steps": 62, "probabilities": [0.2491449769717991, 0.4377940662576461], "optimization_time": 93.83822441101074} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["10000110", "01001101", "10001110", "10000101", "01101001", "10110010", "01110001", "01110010", "10001101", "10010110", "01111010... | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(-1.0342) q[5], q[7];
cry(-1.0342) q[0], q[4];
ry(1.0293) q[0];
cry(-1.3837) q[0], q[1];
cry(-0.8214) q[3], q[4];
cry(-0.6534) q[6], q[7];
ry(0.9979) q[5];
cry(-1.4337) q[0], q[2];
cry(1.1473) ... | null | null | {"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];\ncry(-1.0342) 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] = me... |
c86f9ec7eec6446b2b675d70d15f99d1 | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": ... | {"states": [1023, 511], "expectation_value": -0.19586883322210452, "params": [[0.0584], [-0.047400000000000005]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0011461899050288558, 0.001158928544130876], "optimization_time": 1.3402585983276367} | -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(1)) + -1.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(9) + -0.5 * Z(0) | 5 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[2];
rz(-0.1168) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(-0.1168) q[4];
cx q[5], q[4];
cx q[7], q[6];
rz(-0.1168) q[6];
cx q[7], q[6];
cx q[1], q[8];
rz(-0.1752) q[8];
c... | 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[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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(x0) q[4];
cx q[5]... | {"node": 0} | {"circuits": [], "gradients": []} |
533ab2adcbe5152fab412f1fabcd1780 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [42, 43], "expectation_value": -6.264902470630766, "params": [[[-0.002, -0.2701], [0.0018000000000000002, 0.24250000000000002], [0.5055000000000001, 0.0033], [0.0007, 0.27540000000000003], [0.49810000000000004, 0.001], [-0.0056, -0.2631], [0.5086, 0.0041], [0.45180000000000003, 0.002]], [[-0.0082, -0.2682], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.002) q[0];
rz(-0.2701) q[0];
rx(0.0018) q[1];
rz(0.2425) q[1];
rx(0.5055) q[2];
rz(0.0033) q[2];
rx(0.0007) q[3];
rz(0.2754) q[3];
rx(0.4981) q[4];
rz(0.001) q[4];
rx(-0.0056) q[5];
rz(-0.2631) q[5];
rx(0.5086) q[6];
rz(0.0041) q[6];
rx(0.4518) q[7];
rz(... | 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[... | null | {"circuits": [], "gradients": []} |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [8, 4], "expectation_value": -0.284393499926783, "params": [[0.1531, 0.12140000000000001], [-0.1553, -0.1283]], "bitstrings": ["0111", "1011"], "total_optimization_steps": 20, "probabilities": [0.08122473949017522, 0.0812247394901753], "optimization_time": 1.5458557605743408} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.1531) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.1531) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.1021) q[1];
cx q[0], q[1];
rz(-0.1531) q[3];
rz(0.051) q[0];
rz(0.051) q[1];
rz(-0.051) q[2];
h q[0];
rz(-0.3106... | 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(x0) q[0];
... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
1933e8b73d4f27169594b5a37f23f4e2 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1957, 949], "expectation_value": -0.0007833728129135048, "params": [[0.0019, 0.0025, 0.0078000000000000005, 0.006500000000000001, 0.0002, 0.0002, 0.0057, 0.0063, 0.0013000000000000002, 0.0021000000000000003, 0.0024000000000000002], [0.0034000000000000002, 0.0041, 0.0012000000000000001, 0.009600000000000001,... | 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)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 9 | 11 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.625, "smallest_bitstrings": ["10000101001", "10010001001", "01000101010", "01000011010", "0101000101... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] 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];
h 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];
rx(0.0019) q[0];
r... | 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[... | null | {"circuits": [], "gradients": []} |
339a57bb1c23f4470580bb80982f1c3f | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [82, 90], "expectation_value": -0.011970393721532524, "params": [[0.0131, -0.014], [-0.020200000000000003, 0.0019]], "bitstrings": ["0101101", "0100101"], "total_optimization_steps": 10, "probabilities": [0.00786667385917227, 0.007883362381595817], "optimization_time": 2.929898500442505} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100101"]} | OPENQASM 3.0;
include "stdgates.inc";
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[4], q[0];
rz(0.0131) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(0.0131) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.0131) q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(0.0131) q[2];
cx q[4], q[2];
cx q[6], q[2];
r... | 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];... | null | {"circuits": [], "gradients": []} |
875968458025282292 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 4], [1, 6], [2, 3, 7], [0, 2], [0, 1, 8, 7], [5, 6], [3, 6], [1, 3, 7], [3, 4, 5], [1, 3, 5, 9], [9, 6], [8, 2], [5, 7], [0, 1, 4, 5], [6, 7], [2, 6], [1, 2, 4, 5], [1, 4, 5, 9], [2, 4, 7], [9, 4, 7]]} | {"states": [501, 469], "expectation_value": -4.183318453580387, "params": [0.5807, 0.5634, 1.3899000000000001, 1.3924, 1.3906, 1.3915, 1.393, 1.3879000000000001, 0.8853000000000001, 0.7662, 1.3855000000000002, 1.3868, 0.14730000000000001, 0.1438, 1.3919000000000001, 1.3902, 1.076, 1.1405, 1.3966, 1.3957000000000002, 0.... | 0.25 * (Z(9) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.41666666666666663 * (Z(4) @ Z(9)) + 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.25 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.083333333... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5807) q[0];
ry(1.3899) q[1];
ry(1.3906) q[2];
ry(1.393) q[3];
ry(0.8853) q[4];
ry(1.3855) q[5];
ry(0.1473) q[6];
ry(1.3919) q[7];
ry(1.076) q[8];
ry(1.3966) q[9];
crx(0.8797) q[9], q[0];
crx(0.3822) q[8], q[9];
crx(-0.494) q[7], q[8];
crx(0.1032) 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[... | null | {"circuits": [], "gradients": []} |
ddb99be20db0fe1daf7464e04f7461b4 | 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": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 8}, {"weight":... | {"states": [500, 436], "expectation_value": -79.62460679989441, "params": [0.10450000000000001, 0.15410000000000001, 0.10690000000000001, 0.1535, 0.395, 0.028300000000000002, 0.3925, 0.0238, 0.3904, -0.001, 0.3945, 0.0027, 0.18380000000000002, 0.1017, 0.1844, 0.1018, 0.3919, 0.0151, 0.3916, 0.0313, 0.3874, -0.001200000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(4)) + 18.0 * Z(1) + 2.5 * Z(0) + 15.0 * ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["1001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1045) q[0];
rz(0.1541) q[0];
rx(0.395) q[1];
rz(0.0283) q[1];
rx(0.3904) q[2];
rz(-0.001) q[2];
rx(0.1838) q[3];
rz(0.1017) q[3];
rx(0.3919) q[4];
rz(0.0151) q[4];
rx(0.3874) q[5];
rz(-0.0012) q[5];
rx(0.163) q[6];
rz(0.149) q[6];
rx(0.388) q[7];
rz(0.0... | 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;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
ba516fd0ce7824e6228356c5f232cfab | kclique | adaptive_vqe | {"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}, ... | {"states": [9, 3], "expectation_value": -28.663102579445237, "params": null, "bitstrings": ["1110110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.15144164514219186, 0.6366779421152876], "optimization_time": 86.37965607643127} | 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)) + 2.75 * (Z(5) @ Z(3)) + ... | 9 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(5.3058) q[2];
ry(-0.037) q[3];
ry(-1.2832) q[0];
ry(-0.4488) q[1];
ry(-1.4683) q[4];
cry(-1.122) q[6], q[1];
cry(-1.5338) q[5], q[3];
ry(1.2547) q[6];
cry(-0.5436) q[6], q[2];
ry(0.6999) q[5];
cry(-0.4... | null | {"k": 5} | {"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(5.3058) 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", "... |
-1098029216507613742 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3], [3, 6], [0, 4], [1, 6], [0, 5]]} | {"states": [104, 46], "expectation_value": -2.1090891697065732, "params": null, "bitstrings": ["0010111", "1010001"], "total_optimization_steps": 48, "probabilities": [0.048021734577520056, 0.6671272484485413], "optimization_time": 33.66040515899658} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0101110", "0010111", "1101000", "1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(-1.0342) q[3], q[6];
cry(-1.0342) q[5], q[0];
cry(-1.0342) q[3], q[2];
ry(0.7625) q[3];
cry(-0.7068) q[1], q[6];
cry(1.1319) q[3], q[1];
ry(0.7003) q[5];
cry(-0.7092) q[4], q[0];
cry(1.1516) q[5], q[4... | 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];\ncry(-1.0342) 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... |
206b6c7126e1a43a7c0a57973e02662d | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [103, 119], "expectation_value": -4.495051857938996, "params": [[[0.8246, -0.013800000000000002, 0.0036000000000000003, 0.0036000000000000003], [0.5793, -0.08070000000000001, 0.5653, 0.029500000000000002], [0.2574, -0.084, 0.039400000000000004, -0.0745], [-0.15030000000000002, 0.0184, -0.1728, 0.4888], [0.52... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 11 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.8246) q[0];
rz(-0.0138) q[0];
ry(0.5793) q[1];
rz(-0.0807) q[1];
ry(0.2574) q[2];
rz(-0.084) q[2];
ry(-0.1503) q[3];
rz(0.0184) q[3];
ry(0.5292) q[4];
rz(-0.8087) q[4];
ry(0.2866) q[5];
rz(0.2928) q[5];
ry(0.3737) q[6];
rz(0.1104) q[6];
ry(0.6113) q[7];
r... | 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;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9c729b5be0000eb0159eb9ac078568bd | connected_components | adaptive_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": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [444, 508], "expectation_value": -14.342293439537176, "params": null, "bitstrings": ["001000011", "000000011"], "total_optimization_steps": 100, "probabilities": [0.07791391432666267, 0.43525219062092185], "optimization_time": 254.89264512062073} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(4)) + -3.5 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -3.5 * (Z(2) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -3.0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(1.5708) q[5], q[2];
cry(1.5577) q[2], q[4];
cry(0.3422) q[4], q[5];
cry(0.0581) q[2], q[5];
ry(-0.4175) q[5];
cry(1.235) q[0], q[5];
cry(1.2981) q[4], q[0];
cry(1.3356) q[0], q[1];
cry... | null | {"node": 8} | {"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];\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... |
93c13fab9e34fc37930983d686b23550 | 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": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [255, 254], "expectation_value": -32.52134120019687, "params": [[[0.0025, 3.1597], [0.0022, 0.0025], [-0.0035, 0.0027], [0.0023, 0.0025], [0.0021000000000000003, 0.0021000000000000003], [0.0023, 0.0021000000000000003], [1.6156000000000001, 0.0029000000000000002], [0.0024000000000000002, -0.003]]], "bitstring... | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 2.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + -3.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(3) @ Z(5)) + -3.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + -3... | 15 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0025) q[0];
ry(0.0022) q[1];
ry(-0.0035) q[2];
ry(0.0023) q[3];
ry(0.0021) q[4];
ry(0.0023) q[5];
ry(1.6156) q[6];
ry(0.0024) 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(... | 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[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | {"node": 7} | {"circuits": [], "gradients": []} |
d28c0f9718256cecde1b2d44382957db | 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": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [98, 114], "expectation_value": -3.183810447667295, "params": [0.298, -0.0926, 0.5017, -0.0029000000000000002, 0.49960000000000004, -0.0012000000000000001, 0.48660000000000003, 0.0006000000000000001, -0.003, 0.2802, 0.0534, 0.3151, 0.49350000000000005, 0.0506, 0.0476, -0.2343, 0.29500000000000004, -0.0929000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -0.5 * Z(6) + 0.0 * Z(0) + -2.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(5) + -0.5 * Z(3) + -1.0 * Z(7) | 3 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["10001101", "00011011", "10011001", "10011100", "00001111", "00011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.298) q[0];
rz(-0.0926) q[0];
rx(0.5017) q[1];
rz(-0.0029) q[1];
rx(0.4996) q[2];
rz(-0.0012) q[2];
rx(0.4866) q[3];
rz(0.0006) q[3];
rx(-0.003) q[4];
rz(0.2802) q[4];
rx(0.0534) q[5];
rz(0.3151) q[5];
rx(0.4935) q[6];
rz(0.0506) q[6];
rx(0.0476) q[7];
rz(... | 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[... | null | {"circuits": [], "gradients": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [36, 3], "expectation_value": -8.238817228952124, "params": [[0.0233, 0.033100000000000004, 0.0182, 0.0189], [-0.029400000000000003, -0.0528, -0.054700000000000006, -0.0488]], "bitstrings": ["011011", "111100"], "total_optimization_steps": 10, "probabilities": [0.03352447731770259, 0.034376362229782825], "op... | 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)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 16 | 6 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.1048) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1048) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1048) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1048) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1048... | 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
7d8b3d8ceec2d81b644dfcbc98592f50 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 48], "expectation_value": -3.973037742586125, "params": null, "bitstrings": ["011110", "001111"], "total_optimization_steps": 16, "probabilities": [0.07436458640658362, 0.8991243516134904], "optimization_time": 11.872297763824463} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(-1.4449) q[3];
ry(1.4449) q[0];
cry(-1.0398) q[1], q[5];
ry(0.6944) q[1];
ry(-0.451) q[5];
cry(0.4963) q[0], q[1];
cry(-0.3778) q[0], q[5];
cry(-0.1177) q[0], q[3];
cry(0.10... | 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[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 \"stdga... |
646c4ffdec7c3b688313fcfec6df6ea9 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 14], "expectation_value": -3.499971821732338, "params": null, "bitstrings": ["10111", "10001"], "total_optimization_steps": 22, "probabilities": [1.3834854838606892e-05, 0.9999858813341931], "optimization_time": 14.006691455841064} | 0.5 * (Z(0) @ 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(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[0];
ry(-1.5681) q[4];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
cry(0.1187) q[2], q[3];
cry(0.1188) q[3], q[1];
cry(0.1186) q[1], q[2];
cry(-0.0027) q[3], q[0];
cry(-0.0027) q[3], q[4];
cry(0.0072)... | 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(-1.5681) 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]... |
6913e77a092e6b8e92c97148a6d379f5 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [56, 54], "expectation_value": -0.25377664324339544, "params": [[0.06430000000000001, 0.0755, 0.0699], [-0.0362, -0.0584, -0.0548]], "bitstrings": ["1000111", "1001001"], "total_optimization_steps": 10, "probabilities": [0.01103565574432446, 0.012501582213139822], "optimization_time": 8.124933958053589} | 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)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001001"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0322) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0322) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0322) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0322) 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[... | null | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | 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": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -2.9963973626076346, "params": null, "bitstrings": ["011100", "010101"], "total_optimization_steps": 23, "probabilities": [0.06635256276067618, 0.9303255856453795], "optimization_time": 16.33819007873535} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[3];
ry(-1.4449) q[1];
ry(1.4417) q[4];
ry(1.4417) q[0];
cry(-1.0343) q[2], q[5];
ry(0.7003) q[2];
cry(-0.1259) q[4], q[1];
ry(-0.4549) q[5];
cry(0.4962) q[0], q[2];
cry(-0.3788) q[0], q[5];
cry(0.24... | 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(-1.5681) 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 \"stdga... |
42fc1cab65130010b16c5206f9faaa99 | kclique | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -11.897601583995343, "params": [[[0.9460000000000001, 0.004], [0.8036000000000001, 0.0058000000000000005], [0.7911, 0.006900000000000001], [0.9436, 0.005], [0.9497000000000001, 0.0064], [1.5992000000000002, 0.0061], [1.5894000000000001, 0.003], [1.6009, 0.0029000000000000002]]], ... | 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... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.946) q[0];
rz(0.004) q[0];
rx(0.8036) q[1];
rz(0.0058) q[1];
rx(0.7911) q[2];
rz(0.0069) q[2];
rx(0.9436) q[3];
rz(0.005) q[3];
rx(0.9497) q[4];
rz(0.0064) q[4];
rx(1.5992) q[5];
rz(0.0061) q[5];
rx(1.5894) q[6];
rz(0.003) q[6];
rx(1.6009) q[7];
rz(0.0029... | 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] ... | {"k": 5} | {"circuits": [], "gradients": []} |
6913e77a092e6b8e92c97148a6d379f5 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 37], "expectation_value": -3.4965156417765755, "params": null, "bitstrings": ["010110", "011010"], "total_optimization_steps": 20, "probabilities": [0.06700895329611992, 0.9297461640983088], "optimization_time": 11.56589388847351} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.4449) q[1];
ry(1.4449) q[5];
ry(1.4417) q[0];
cry(-1.0398) q[3], q[2];
ry(0.7022) q[3];
ry(-0.4578) q[2];
cry(0.497) q[5], q[3];
cry(-0.3761) q[5], q[2];
cry(0.2474) q[0], q[3];
cry(-0.146... | 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[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 \"stdga... |
eb37df157f972d0ca6ce6f2978928048 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [29, 5], "expectation_value": -0.0006581176775607989, "params": [[-0.012100000000000001], [0.0029000000000000002]], "bitstrings": ["100010", "111010"], "total_optimization_steps": 10, "probabilities": [0.0156358269645793, 0.015637992151543382], "optimization_time": 1.2519526481628418} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0061) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0121) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0121) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(0.0061) q[3];
cx q[2], q[3];
cx q[0], q[5];
rz(-0.024... | 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[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[0], q[4];
rz(x1) q[4];
c... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [7, 11], "expectation_value": -0.3564831240554778, "params": [[0.062200000000000005, 0.048400000000000006], [-0.0609, -0.048]], "bitstrings": ["111000", "110100"], "total_optimization_steps": 10, "probabilities": [0.01861385059238282, 0.018613850592382842], "optimization_time": 2.5303964614868164} | 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(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0622) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0622) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0622) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0622) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0622... | 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[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... | null | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3, 34], "expectation_value": -4.973039785722057, "params": null, "bitstrings": ["111100", "011101"], "total_optimization_steps": 17, "probabilities": [0.0743643311537954, 0.8991266787991349], "optimization_time": 16.36042022705078} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100", "111001", "011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
ry(-1.4449) q[3];
ry(1.4449) q[4];
cry(-1.0398) q[0], q[5];
ry(0.6944) q[0];
ry(-0.451) q[5];
cry(0.4963) q[4], q[0];
cry(-0.3778) q[4], q[5];
cry(-0.1177) q[4], q[3];
cry(0.10... | 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[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 \"stdga... |
e05275d14653e116f32640e6b82829a5 | 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": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 5}, {"weight": 14, "source": 1, "tar... | {"states": [342, 244], "expectation_value": -8.726362452073422, "params": [[-0.046400000000000004], [0.0604]], "bitstrings": ["010101001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.003649354296697707, 0.004181738654320508], "optimization_time": 1.9761314392089844} | 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(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 19.0 * Z(1) + 13.5 * Z(0) + 11.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.4176) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4176) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4176) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.4176) q[3];
cx q[0], q[... | 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];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [10, 7], "expectation_value": -1.878244413214229, "params": null, "bitstrings": ["0101", "1000"], "total_optimization_steps": 18, "probabilities": [0.20653887476852636, 0.7080427202478625], "optimization_time": 8.660252809524536} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(1.4449) q[2];
cry(1.4433) q[3], q[1];
cry(1.1747) q[1], q[3];
cry(-1.3057) q[3], q[0];
cry(0.3528) q[2], q[0];
cry(-0.5327) q[1], q[0];
ry(0.3913) q[0];
cry(0.1184) q[1], q[2];
ry(0.0992) q[1];
cry(0.0432) q[2], q[3];
cry(-0.... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... |
35eda900f849f65d0cff23e7af228cca | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [5, 1], "expectation_value": -0.5707083866546954, "params": [[0.0587, -0.025], [-0.0655, -0.0152]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0028602909582107696, 0.0029815716388515495], "optimization_time": 4.395528078079224} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0881) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0881) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0587) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0294) q[3];
cx q[0], q[... | 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
1600da48c768639b2cb0d1bea5b2382e | 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": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [253, 255], "expectation_value": -0.18659105779654417, "params": [[-0.0874], [0.0814]], "bitstrings": ["100000010", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0023842470383793834, 0.002386340514018922], "optimization_time": 2.251124620437622} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(7)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000000", "100000010", "100000110", "100010110"]} | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[0];
rz(0.0437) q[0];
cx q[3], q[0];
cx q[0], q[7];
rz(0.0874) q[7];
cx q[0], q[7];
cx q[3], q[8];
rz(0.0874) q[8];
cx q[3], q[8];
cx q[0], q[8];
rz(-0.1748) q[8];
cx q[0], 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;
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[3], q[0];
rz(x0) q[0];
... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
64945dc18f78a33560af97db99744897 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [1366, 1371], "expectation_value": -2.0169247329585414, "params": [[[0.1975, -0.0025], [0.0297, -0.0166], [0.5969, 0.0363], [0.2146, 0.08070000000000001], [0.5854, 0.09720000000000001], [0.3372, 0.11120000000000001], [0.2674, 0.4278], [0.23570000000000002, 0.5183], [0.37460000000000004, 0.5812], [0.594100000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(0) @ Z(2) @ Z(7)) + ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -2.375, "smallest_bitstrings": ["01100011000", "01110100000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.1975) q[0];
ry(0.0297) q[1];
ry(0.5969) q[2];
ry(0.2146) q[3];
ry(0.5854) q[4];
ry(0.3372) q[5];
ry(0.2674) q[6];
ry(0.2357) q[7];
ry(0.3746) q[8];
ry(0.5941) q[9];
ry(0.5363) 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],... | 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[... | null | {"circuits": [], "gradients": []} |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [8, 0], "expectation_value": -0.05451225163499604, "params": [[-0.049, -0.0308], [0.0675, 0.046900000000000004]], "bitstrings": ["0111", "1111"], "total_optimization_steps": 10, "probabilities": [0.06423382065625358, 0.06607056931787963], "optimization_time": 2.259986162185669} | 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)) + -0.625 * Z... | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0123) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0123) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0123) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.0123) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(-0.0123) q[1];
cx ... | 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;
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[2], q[0];
rz(x0) q[0... | null | {"circuits": [], "gradients": []} |
a6da0588e4f06076b5c2f06ef98c16c3 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [47, 46], "expectation_value": -1.844063307329706, "params": [0.0018000000000000002, 0.5797, 0.7418, 0.0102, 0.8015, 0.0105, 0.5880000000000001, 0.0012000000000000001, 0.8011, -0.0041, 0.8012, 0.002, 0.8103, 0.0063, 0.5767, -0.1771, 0.0016, 0.4554, 0.7454000000000001, 0.0008, 0.8033, 0.1505, 0.5808, -0.00240... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(5) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(3) @ Z(6)) + -0.25 *... | 4 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.25, "smallest_bitstrings": ["10101001", "10101100", "10110001", "11011000", "11010001", "11101000", "11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0018) q[0];
rz(0.5797) q[0];
rx(0.7418) q[1];
rz(0.0102) q[1];
rx(0.8015) q[2];
rz(0.0105) q[2];
rx(0.588) q[3];
rz(0.0012) q[3];
rx(0.8011) q[4];
rz(-0.0041) q[4];
rx(0.8012) q[5];
rz(0.002) q[5];
rx(0.8103) q[6];
rz(0.0063) q[6];
rx(0.5767) q[7];
rz(-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[... | null | {"circuits": [], "gradients": []} |
bb78951d23ba1e63131fcc47aa4f8374 | 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": 3}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [4095, 511], "expectation_value": -25.009170309997433, "params": [[[-0.0023, 0.0067], [0.0025, 0.0032], [1.5777, 0.0078000000000000005], [0.0024000000000000002, 0.0071], [0.0023, 0.004], [0.0023, 0.0009000000000000001], [-0.0098, 0.00030000000000000003], [0.0023, 0.0068000000000000005], [-0.00240000000000000... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(9)) + 1.0 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(7)) + -2.5 * (Z(8) @ Z(9)) + 1.0 * (Z(8) @ Z(7)) + -... | 2 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["111000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0023) q[0];
rz(0.0067) q[0];
rx(0.0025) q[1];
rz(0.0032) q[1];
rx(1.5777) q[2];
rz(0.0078) q[2];
rx(0.0024) q[3];
rz(0.0071) q[3];
rx(0.0023) q[4];
rz(0.004) q[4];
rx(0.0023) q[5];
rz(0.0009) q[5];
rx(-0.0098) q[6];
rz(0.0003) q[6];
rx(0.0023) q[7];
rz... | 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[... | {"node": 0} | {"circuits": [], "gradients": []} |
36839f6cc172274608b4e10ddc5914a8 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"sour... | {"states": [23, 7], "expectation_value": -14.486663843757656, "params": [0.0021000000000000003, 1.3828, 0.002, 0.0036000000000000003, 0.003, 1.9474, 0.0028, 0.0063, 0.003, 1.9456, 0.0028, 0.0068000000000000005, -0.5029, 1.3225, 0.5800000000000001, 0.0089, 0.0019, 2.0293, -0.0019, 0.002, -1.8584, 1.8699000000000001, 0.5... | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (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(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(1) + -2.5 * Z(0) + -2.0 * Z(2) + 1.0 * Z(3... | 6 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0021) q[0];
rz(1.3828) q[0];
rx(0.003) q[1];
rz(1.9474) q[1];
rx(0.003) q[2];
rz(1.9456) q[2];
rx(-0.5029) q[3];
rz(1.3225) q[3];
rx(0.0019) q[4];
rz(2.0293) q[4];
rx(-1.8584) q[5];
rz(1.8699) q[5];
rx(-1.7339) q[6];
rz(0.7309) q[6];
rx(-1.5741) q[7];
rz(... | 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[... | {"node": 1} | {"circuits": [], "gradients": []} |
348c13052b9cd507aa792296e385f0a4 | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -9.499987376089177, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 20, "probabilities": [1.2623858499060669e-05, 0.9999873761304554], "optimization_time": 14.631282806396484} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[3];
ry(-1.5681) q[2];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
cry(-0.1188) q[6], q[5];
cry(-0.0027) q[6], q[2];
cry(-0.0027) q[6], q[3];
c[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[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", "... |
-3241859606586776718 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 7], [0, 8, 3], [0, 1, 2, 3, 7], [0, 2, 4, 5, 8], [8, 2, 7], [0, 2, 4, 5, 6], [8, 3, 7], [0, 8, 6], [3, 4, 5], [8, 3, 6]]} | {"states": [375, 374], "expectation_value": -1.2218140231517203, "params": [0.9017000000000001, -0.0098, 0.9007000000000001, 0.0027, 0.8953000000000001, 0.038900000000000004, 0.5997, 0.0007, 0.9051, -0.0039000000000000003, 0.8965000000000001, 0.0039000000000000003, 0.903, -0.0145, 0.8964000000000001, 0.0049, 0.9073, -0... | 0.5 * (Z(1) @ Z(4)) + 0.26666666666666666 * (Z(5) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.1 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(7)) + 0.3833333333333333 * (Z(8) @ Z(0)) + 0.166... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.6], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.266666666666666, "smallest_bitstrings": ["010001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9017) q[0];
rz(-0.0098) q[0];
rx(0.8953) q[1];
rz(0.0389) q[1];
rx(0.9051) q[2];
rz(-0.0039) q[2];
rx(0.903) q[3];
rz(-0.0145) q[3];
rx(0.9073) q[4];
rz(-0.0089) q[4];
rx(0.8974) q[5];
rz(0.0035) q[5];
rx(0.8998) q[6];
rz(-0.0072) q[6];
rx(0.898) q[7];
rz... | 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[... | null | {"circuits": [], "gradients": []} |
f156f991f453bf2551660b1dc00bf1f6 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [510, 1], "expectation_value": -1.0305448825898342, "params": [[0.0645], [-0.057800000000000004]], "bitstrings": ["000000001", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0027238991182750006, 0.003000643452669525], "optimization_time": 3.1792025566101074} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0645) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0645) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.129) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.129) q[4];
cx q[1], 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] 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 ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
76593da69ac69de080863b5379b2438f | 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":... | {"states": [142, 143], "expectation_value": -48.369399546147186, "params": [-0.0032, -0.7349, 1.4993, -0.047900000000000005, 0.6808000000000001, 0.762, 0.0176, -0.6683, 0.3366, -0.7342000000000001, 1.4305, 0.0884, 1.3892, -0.2096, 1.0296, -0.5496, 0.9574, -0.16740000000000002, -0.0045000000000000005, -0.686700000000000... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(5)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(3) @ Z(6)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(4)) + 4.5 * Z(2) + 15.0 * Z(1) + 8.0 * Z(5) + -1.5 * Z(0) + 8.5 * Z(4) + 3.0 * Z(6) + -1.5 * Z(3) + 0.0 * Z(7) + 6.0 * Z(8) | 4 | 9 | 2 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0032) q[0];
rz(-0.7349) q[0];
rx(1.4993) q[1];
rz(-0.0479) q[1];
rx(0.6808) q[2];
rz(0.762) q[2];
rx(0.0176) q[3];
rz(-0.6683) q[3];
rx(0.3366) q[4];
rz(-0.7342) q[4];
rx(1.4305) q[5];
rz(0.0884) q[5];
rx(1.3892) q[6];
rz(-0.2096) q[6];
rx(1.0296) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
-7519521110846919070 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 5], [1, 5], [0, 3], [1, 2], [3, 4]]} | {"states": [20, 43], "expectation_value": -0.0594806492904068, "params": [[-0.0796], [0.0762]], "bitstrings": ["101011", "010100"], "total_optimization_steps": 10, "probabilities": [0.017538570451821892, 0.017538570451821892], "optimization_time": 0.7747905254364014} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101011", "010100"]} | OPENQASM 3.0;
include "stdgates.inc";
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[5], q[3];
rz(-0.0796) q[3];
cx q[5], q[3];
cx q[5], q[1];
rz(-0.0796) q[1];
cx q[5], q[1];
cx q[3], q[0];
rz(-0.0796) q[0];
cx q[3], q[0];
cx q[1], q[2];
rz(-0.0796) q[2];
cx q[1], q[2];
cx q[3], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[1], q[2];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
dca74c4464ee5c0862a21e9a873391f9 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [40, 41], "expectation_value": -2.9787717723890155, "params": [[[0.0024000000000000002, 0.2388, 0.0041, 0.01], [0.26430000000000003, -0.0281, 0.2705, 0.0002], [0.1338, -0.10540000000000001, 0.0001, -0.1047], [0.2649, 0.0488, 0.26230000000000003, 0.0005], [0.0019, 0.3073, 0.0028, 0.3125], [-0.0365000000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(6) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3)... | 12 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1101100", "1001110", "1100101", "1100110", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0024) q[0];
rz(0.2388) q[0];
ry(0.2643) q[1];
rz(-0.0281) q[1];
ry(0.1338) q[2];
rz(-0.1054) q[2];
ry(0.2649) q[3];
rz(0.0488) q[3];
ry(0.0019) q[4];
rz(0.3073) q[4];
ry(-0.0365) q[5];
rz(0.1797) q[5];
ry(0.4044) q[6];
rz(-0.0028) q[6];
cz q[1], q[0];
cz ... | 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[... | null | {"circuits": [], "gradients": []} |
a74a32fdf8a158e45b2972b4608b5f08 | connected_components | adaptive_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": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [959, 4031], "expectation_value": -18.41655402848308, "params": null, "bitstrings": ["110001000000", "000001000000"], "total_optimization_steps": 100, "probabilities": [0.10318424505313059, 0.35239400916434377], "optimization_time": 349.2402250766754} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(9)) + -3.0 * (Z(10) @ Z(9)) + -2.5 * (Z(10) @ Z(6)) + 1.5 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(6)) + -3.0 * (Z(11) @ Z(10)) + -3.0 * (Z(7) @ Z(9)) + 1.0 * (Z(7) @ Z(6)) + 1.5 * (Z(7) @ Z(10)... | 1 | 12 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] 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];
h q[10];
h q[11];
cry(1.5708) q[9], q[10];
cry(1.5709) q[10], q[6];
cry(0.908) q[6], q[11];
cry(1.1165) q[6], q[9];
cry(1.5707) q[11], q[7];
cry(1.5708) q[10], q[8];
cry(-0.1744)... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\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];\nh q[10];\nh q[11];\ncry(1.5708) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... |
d169c5da5d5c0560bca8ce29d1fd4dde | 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}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target":... | {"states": [1025, 1023], "expectation_value": -17.293011827362704, "params": [[[-0.4651, -0.5775], [0.0026000000000000003, -0.48200000000000004], [0.0018000000000000002, -0.0037], [0.0025, 0.0049], [0.0024000000000000002, -0.0016], [0.0023, -0.0028], [0.0025, -0.0021000000000000003], [0.0025, -0.0028], [0.0001, -0.0028... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -1.25 * (Z(8) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(8)) + 0.75 * (Z(2) @ Z... | 15 | 11 | 3 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["10000000000", "11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.4651) q[0];
ry(0.0026) q[1];
ry(0.0018) q[2];
ry(0.0025) q[3];
ry(0.0024) q[4];
ry(0.0023) q[5];
ry(0.0025) q[6];
ry(0.0025) q[7];
ry(0.0001) q[8];
ry(-0.0326) q[9];
ry(-0.9302) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | 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[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
6148353282823150813 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [2, 3, 5], [0, 4], [2, 6], [0, 5], [1, 3, 4], [2, 4, 5], [3, 6, 7], [1, 5, 6]]} | {"states": [109, 31], "expectation_value": -0.8441182324797496, "params": [[-0.2651], [0.272]], "bitstrings": ["10010010", "11100000"], "total_optimization_steps": 30, "probabilities": [0.010861449176119147, 0.01154398376533185], "optimization_time": 1.3464722633361816} | 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
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[7], q[0];
rz(-0.2651) q[0];
cx q[7], q[0];
cx q[7], q[3];
rz(-0.0884) q[3];
cx q[7], q[3];
cx q[3], q[2];
rz(-0.0884) q[2];
cx q[3], q[2];
cx q[0], q[5];
rz(-0.2651) q[5];
cx q[0], q[5];
cx q... | 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[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[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[3];
rz(x1) q[3];
cx q[7], q[3];
cx q[3], q... | null | {"circuits": [], "gradients": []} |
15a5f37f6b324be94a7fa874923284e5 | kclique | vqe | {"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, "ta... | {"states": [5, 7], "expectation_value": -19.72579609041856, "params": [0.027, -0.1394, 0.3927, -0.1512, 0.325, -0.20120000000000002, 0.004200000000000001, 0.29500000000000004, 0.0458, 0.07010000000000001, 0.6007, 0.0063, 0.5818, -0.0112, 0.5864, -0.0016, 0.031200000000000002, -0.22010000000000002, 0.30910000000000004, ... | 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... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.027) q[0];
rz(-0.1394) q[0];
rx(0.3927) q[1];
rz(-0.1512) q[1];
rx(0.325) q[2];
rz(-0.2012) q[2];
rx(0.0042) q[3];
rz(0.295) q[3];
rx(0.0458) q[4];
rz(0.0701) q[4];
rx(0.6007) q[5];
rz(0.0063) q[5];
rx(0.5818) q[6];
rz(-0.0112) q[6];
rx(0.5864) q[7];
rz(-... | 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
ca80a1081391714ec98f68c48872633f | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 1], "expectation_value": -0.1884104448050155, "params": [[0.050300000000000004, 0.0233], [-0.0439, -0.028800000000000003]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009132430239027687, 0.00914236222973311], "optimization_time": 2.5903244018554688} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1111110", "1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0252) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0503) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.0755) q[5];
cx q[1], q[5];
cx q[2], q[5];
rz(-0.0252) q[5];
cx q[2], q[5];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2811d61d5f2af44ed340d40c20ed9351 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [10, 26], "expectation_value": -3.5762244599532984, "params": [[[-0.002, 0.0049], [-0.0018000000000000002, 0.0094], [1.6165, 0.007500000000000001], [1.6488, 0.0008], [1.516, 0.0058000000000000005], [1.7141000000000002, 0.0029000000000000002], [1.479, 0.001]]], "bitstrings": ["1110101", "1100101"], "total_opt... | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1111000", "1110001", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.002) q[0];
rz(0.0049) q[0];
rx(-0.0018) q[1];
rz(0.0094) q[1];
rx(1.6165) q[2];
rz(0.0075) q[2];
rx(1.6488) q[3];
rz(0.0008) q[3];
rx(1.516) q[4];
rz(0.0058) q[4];
rx(1.7141) q[5];
rz(0.0029) q[5];
rx(1.479) q[6];
rz(0.001) q[6];
c[0] = measure q[0];
c[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] 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... | null | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | qaoa | {"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"... | {"states": [20, 12], "expectation_value": -0.460862902847445, "params": [[0.0523, 0.020300000000000002, 0.043500000000000004, 0.056900000000000006], [-0.056400000000000006, -0.0194, -0.0284, -0.041800000000000004]], "bitstrings": ["01011", "10011"], "total_optimization_steps": 10, "probabilities": [0.038119510413052525... | 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 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0523) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0523) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0523) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0523) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0523) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | vertex_cover | qaoa | {"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": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [10, 20], "expectation_value": -0.3406145364057156, "params": [[-0.038700000000000005, -0.031400000000000004, -0.0709], [0.0523, 0.011300000000000001, 0.0646]], "bitstrings": ["10101", "01011"], "total_optimization_steps": 10, "probabilities": [0.03816212783317981, 0.039668335809428426], "optimization_time":... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "01011", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0387) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0387) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0387) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0387) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0387) q... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
f62b83cca3f45816fa664c134006cb2d | 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": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"source": 3, "target": 4}, {"sour... | {"states": [427, 419], "expectation_value": -4.345227003076679, "params": [[[0.1044, -0.02, 0.004, 0.007500000000000001], [0.029400000000000003, -0.40790000000000004, 1.5729, -0.0013000000000000002], [1.5029000000000001, 0.0006000000000000001, 1.1500000000000001, 0.0002], [0.8036000000000001, 0.001, 0.7923, -0.0043], [... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + -0.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(7) | 11 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["000011101", "001111000", "001011100", "001010110", "000010111", "001110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.1044) q[0];
rz(-0.02) q[0];
ry(0.0294) q[1];
rz(-0.4079) q[1];
ry(1.5029) q[2];
rz(0.0006) q[2];
ry(0.8036) q[3];
rz(0.001) q[3];
ry(-0.141) q[4];
rz(-0.1049) q[4];
ry(0.536) q[5];
rz(0.216) q[5];
ry(-0.0092) q[6];
rz(0.4928) q[6];
ry(0.0055) q[7];
rz(-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[... | null | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [2911, 2910], "expectation_value": -6.051520124412653, "params": [0.9994000000000001, 0.1041, 0.5263, 0.41490000000000005, 0.9992000000000001, 0.2446, 0.9759000000000001, 0.0825, 0.5152, 0.3763, 0.9843000000000001, 0.2142, 0.5748, 0.3225, 1.0675000000000001, 0.113, 1.0593000000000001, 0.055400000000000005, 1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.9994) q[0];
rz(0.1041) q[0];
rx(0.5263) q[1];
rz(0.4149) q[1];
rx(0.9992) q[2];
rz(0.2446) q[2];
rx(0.9759) q[3];
rz(0.0825) q[3];
rx(0.5152) q[4];
rz(0.3763) q[4];
rx(0.9843) q[5];
rz(0.2142) q[5];
rx(0.5748) q[6];
rz(0.3225) q[6];
rx(1.0675) q[7];
rz(... | 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] 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 floa... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
48bc2fe3cb79b98fee18d505d1ebe59b | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [33, 65], "expectation_value": -4.910603879608039, "params": null, "bitstrings": ["1011110", "0111110"], "total_optimization_steps": 22, "probabilities": [0.06070092546510561, 0.7871871279988286], "optimization_time": 32.06194043159485} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011110", "0101111", "1110110", "0111101", "1100111", "0111110", "1011011", "1001111"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[4];
ry(-1.5708) q[5];
ry(-1.4449) q[3];
cry(-1.0398) q[0], q[1];
cry(-1.0342) q[6], q[2];
ry(0.7003) q[6];
ry(0.6944) q[0];
ry(-0.4549) q[2];
ry(-0.451) q[1];
cry(0.4573) q[0], q[6];
cry(0.4... | 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[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", ... |
7afc16820e80f9ff38487d4737c6b4ad | 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": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [183, 182], "expectation_value": -69.40156956692935, "params": [-0.001, 0.27840000000000004, -0.0071, 0.2726, 0.4989, 0.058, 0.49760000000000004, 0.0204, 0.2735, 0.111, 0.26940000000000003, 0.10310000000000001, 0.4994, 0.0422, 0.4983, 0.014100000000000001, 0.4944, 0.0511, 0.48710000000000003, 0.0259000000000... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + -3.0 * Z(0) ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.001) q[0];
rz(0.2784) q[0];
rx(0.4989) q[1];
rz(0.058) q[1];
rx(0.2735) q[2];
rz(0.111) q[2];
rx(0.4994) q[3];
rz(0.0422) q[3];
rx(0.4944) q[4];
rz(0.0511) q[4];
rx(0.2179) q[5];
rz(-0.1385) q[5];
rx(0.4894) q[6];
rz(0.0701) q[6];
rx(0.4915) q[7];
rz(0.0... | 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;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
c9c78c5b8e0c734df7d98b4ae5d6e5a1 | 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": 2, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -9.255859966642364, "params": [-0.7615000000000001, 0.0027, 0.7687, 0.0071, -0.1468, 0.0952, 0.1246, 0.0046, 0.0028, 0.5693, 0.002, 0.0009000000000000001, 0.7996000000000001, -0.0024000000000000002, 0.7979, 0.0043, 0.2351, -0.001, -0.18510000000000001, 0.0073, 0.007200000000000... | -0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(9) @ Z(5)) + -0.5 * (Z(9) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(... | 6 | 12 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.7615) q[0];
rz(0.0027) q[0];
rx(-0.1468) q[1];
rz(0.0952) q[1];
rx(0.0028) q[2];
rz(0.5693) q[2];
rx(0.7996) q[3];
rz(-0.0024) q[3];
rx(0.2351) q[4];
rz(-0.001) q[4];
rx(0.0072) q[5];
rz(0.318) q[5];
rx(-0.3616) q[6];
rz(-0.0048) q[6];
rx(-0.0047) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
8ca1cc128f26bbc587d2dbeb0c149cd8 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [370, 882], "expectation_value": -2.8360576943879723, "params": [0.5016, 0.4903, 0.6968000000000001, 0.6956, 0.301, 0.2881, 0.6906, 0.6869000000000001, 0.6936, 0.6961, 0.6887, 0.6925, 0.136, 0.1297, 0.016, 0.0058000000000000005, 0.7027, 0.6971, -0.0036000000000000003, -0.0005, 0.48410000000000003, 0.48310000... | 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... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5, "smallest_bitstrings": ["0010001101", "0010100101", "0001001101", "0100001101", "0011100001", "0101001001", "1000001101", "1000000111", "0001101001", "00... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5016) q[0];
ry(0.6968) q[1];
ry(0.301) q[2];
ry(0.6906) q[3];
ry(0.6936) q[4];
ry(0.6887) q[5];
ry(0.136) q[6];
ry(0.016) q[7];
ry(0.7027) q[8];
ry(-0.0036) q[9];
crx(0.1275) q[9], q[0];
crx(0.0014) q[8], q[9];
crx(0.6542) q[7], q[8];
crx(-0.1507) 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[... | null | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [197, 236], "expectation_value": -3.5103114489764295, "params": null, "bitstrings": ["00111010", "00010011"], "total_optimization_steps": 43, "probabilities": [0.057279452107917815, 0.8498965515177191], "optimization_time": 79.38841533660889} | 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... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5158) q[3];
ry(-1.5158) q[6];
ry(1.4446) q[0];
ry(1.0332) q[5];
cry(-1.2413) q[2], q[7];
ry(1.2903) q[1];
ry(0.8024) q[2];
cry(-0.6817) q[5], q[7];
cry(1.3232) q[2], q[4];
cry(0.474) q[0], q... | null | null | {"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(-1.5158) 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... |
5ab0d413e91c40c8571cb2ab0e0009e7 | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [866, 832], "expectation_value": -0.20660160194442984, "params": [[0.0217], [-0.0166]], "bitstrings": ["0010011101", "0010111111"], "total_optimization_steps": 10, "probabilities": [0.0010301781437786761, 0.0010334273548704], "optimization_time": 4.251042127609253} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(9)) + -2.5 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0651) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0651) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0217) q[3];
cx q[0], q[3];
cx q[8], q[4];
rz(-0.0868) q[4];
cx... | 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;
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(... | {"node": 5} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target"... | {"states": [0, 1], "expectation_value": -20.262577072253027, "params": [[[0.0049, -0.3471], [-0.0022, 0.2959], [-0.002, 0.32370000000000004], [0.0007, 0.3317], [0.6112000000000001, -0.0006000000000000001]], [[0.0025, -0.3645], [-0.0004, 0.3216], [-0.0028, 0.31980000000000003], [-0.005200000000000001, 0.3164], [0.6079, ... | 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)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0049) q[0];
rz(-0.3471) q[0];
rx(-0.0022) q[1];
rz(0.2959) q[1];
rx(-0.002) q[2];
rz(0.3237) q[2];
rx(0.0007) q[3];
rz(0.3317) q[3];
rx(0.6112) q[4];
rz(-0.0006) q[4];
rx(0.0025) q[0];
rz(-0.3645) q[0];
rx(-0.0004) q[1];
rz(0.3216) q[1];
rx(-0.0028) q[2];... | 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
-3824656332430485676 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 4, 5, 8, 9], [8, 2, 4, 7], [0, 4, 6], [3, 4], [0, 2], [1, 4]]} | {"states": [575, 567], "expectation_value": -1.9319612217763271, "params": [1.2901, 0.0001, 1.2858, 0.0078000000000000005, 0.0819, -0.727, 0.048, -0.6923, 0.2147, 0.5984, 0.2147, 0.0028, 0.39130000000000004, 0.0125, 1.0276, 0.0002, 1.4651, -0.00030000000000000003, 1.4735, 0.008, 1.4456, -0.2015, 1.4812, -0.1746, 0.8374... | 0.13333333333333333 * (Z(2) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(8) @ Z(4)) + 0.13333333333333333 * (Z(8) @ Z(2)) + 0.05 * (Z(8) @ Z(5)) + 0.05 * (Z(9) @ Z(4)) + 0.05 * (Z(9) @ Z(2)) + 0.05 * (Z(9) @ Z(5)) + 0.05 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333... | 8 | 10 | 1 | {"smallest_eigenvalues": [-2.2833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["0111001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2901) q[0];
rz(0.0001) q[0];
rx(0.0819) q[1];
rz(-0.727) q[1];
rx(0.2147) q[2];
rz(0.5984) q[2];
rx(0.3913) q[3];
rz(0.0125) q[3];
rx(1.4651) q[4];
rz(-0.0003) q[4];
rx(1.4456) q[5];
rz(-0.2015) q[5];
rx(0.8374) q[6];
rz(0.3109) q[6];
rx(0.9928) q[7];
r... | 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[... | null | {"circuits": [], "gradients": []} |
7c7664cb9cb13a35da50c3201e32fb16 | 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": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [110, 108], "expectation_value": -1.4192081076719887, "params": [[[1.5767, -0.7544000000000001], [1.5684, 0.6108], [0.8774000000000001, -0.6344000000000001], [1.6981000000000002, 1.2743], [1.5767, 1.5729], [1.5749, -0.11270000000000001], [1.57, 0.0056], [1.5788, -1.1017000000000001]]], "bitstrings": ["100100... | 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(3) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -0.25 * Z(... | 15 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["10011010", "00101101", "00101110", "10001110", "00110101", "10110001", "11001010", "01001110", "10010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.5767) q[0];
ry(1.5684) q[1];
ry(0.8774) q[2];
ry(1.6981) q[3];
ry(1.5767) q[4];
ry(1.5749) q[5];
ry(1.57) q[6];
ry(1.5788) 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(-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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
2038434859549264650 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 5, 6, 7], [1, 3, 4, 6, 7], [0, 3, 4, 7], [0, 1, 2, 3], [0, 2, 4, 7]]} | {"states": [186, 190], "expectation_value": -1.0032833916971595, "params": null, "bitstrings": ["01000101", "01000001"], "total_optimization_steps": 55, "probabilities": [0.18434601856343313, 0.27306530442615795], "optimization_time": 100.13490653038025} | 0.18333333333333335 * (Z(3) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.1 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(5)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.1500000000000004, -1.1500000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.15, "smallest_bitstrings": ["01000101", "01000001"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.3988) q[4];
ry(1.0862) q[3];
cry(0.3647) q[4], q[3];
ry(0.4155) q[2];
cry(-0.4715) q[0], q[7];
cry(0.4179) q[3], q[2];
cry(-0.4132) q[7], q[0];
cry(0.3376) q[4], q[2];
cry(-0.2677) q[1], q[0]... | null | null | {"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(1.3988) 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[... |
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