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 155 2.61k | circuit_with_params stringlengths 126 44.7k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [427, 245], "expectation_value": -0.4692885822136954, "params": [[0.07930000000000001], [-0.0864]], "bitstrings": ["001010100", "100001010"], "total_optimization_steps": 10, "probabilities": [0.002477061851309573, 0.0024770618513095736], "optimization_time": 3.042877435684204} | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
f8645113517905e1df1749520352d679 | 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": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [476, 220], "expectation_value": -17.105097116723595, "params": [[-0.035300000000000005, -0.0077], [0.06910000000000001, 0.0727]], "bitstrings": ["000100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.006338369499371222, 0.008410261573641388], "optimization_time": 3.4045233726501465} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10923383720549897) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.10923383720549897) q[2];
cx q[0], q[2];
rz(1.2299948032833266) q[0];
rx(1.0879082958788673) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.10923383720549897) q[3];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5,
12,
8,
8,
17.5,
12,
6.5,
1
] | 0.859958 | [
0.10923383720549897,
-1.810537491794332,
1.229994803283326,
-1.6856305727411314,
-0.8120803734240312,
-1.7336898352556895,
1.3051021389879203,
1.3879897866400888,
1.0879082958788673,
-0.4710384321704608,
1.265319859463496,
-0.1555024889011401,
0.4251206411461428,
-0.2861529194851915,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 500 |
-639020489791202921 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 5, 6], [0, 2], [2, 3]]} | {"states": [77, 53], "expectation_value": -0.18092982339160468, "params": [[[1.6502000000000001, 0.0067], [1.4784000000000002, 0.0013000000000000002], [1.7028, 0.0036000000000000003], [1.5994000000000002, 0.0044], [1.7125000000000001, 0.001], [1.6983000000000001, 0.0016], [1.7063000000000001, 0.0025]]], "bitstrings": [... | 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) | 2 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0010010", "1001010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.8813477697181047) q[0];
rz(-1.335419993544154) q[0];
rx(0.057267010851172105) q[1];
rz(-0.2530327296853211) q[1];
rx(3.0931851629184517) q[2];
rz(0.1652580668934845) q[2];
rx(3.075860889917606) q[3];
rz(-0.8828260991174662) q[3];
rx(3.0939127096607697) q[4];
rz(1.1... | 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": []} | [
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"IIIIZIZ",
"IIIZZII",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666666,
0,
0,
0
] | 0.978003 | [
2.8813477697181047,
-1.335419993544154,
0.057267010851172105,
-0.2530327296853211,
3.0931851629184517,
0.1652580668934845,
3.075860889917606,
-0.8828260991174662,
3.0939127096607697,
1.1643995737504487,
-0.10142055827083851,
-1.3170938025679386,
2.641562296784934,
1.6477460360059646
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 27 |
23f356e4fc2150c1153c4d85ead8a085 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 8}, {"weight": 17, "source": 0, "target": 7}, {"weight":... | {"states": [444, 428], "expectation_value": -90.95810374275169, "params": [0.183, 0.28190000000000004, 0.1791, 0.2827, 0.5954, 0.0252, 0.5948, -0.0286, 0.5913, -0.0131, 0.5911000000000001, -0.0238, 0.17800000000000002, -0.1872, 0.18150000000000002, -0.19210000000000002, 0.5967, -0.0117, 0.5969, -0.0292, 0.3594, 0.2586,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(6)) + 19.5 * Z(1) + 1.5 * Z(0) + 14.5 * ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-100.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.0, "smallest_bitstrings": ["1001010011"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.049470053567183196) q[0];
rz(1.9689782702236487) q[0];
rx(0.7484037819545222) q[1];
rz(1.8148116808149224) q[1];
rx(0.4097116659138291) q[2];
rz(1.6835901354601832) q[2];
rx(-0.09172289595715188) q[3];
rz(1.6520724145787646) q[3];
rx(0.6863326622658462) q[4];
rz(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[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
19.5,
1.5,
14.5,
14.5,
-1.5,
13.5,
9.5,
15.5,
4.5,
2
] | 0.972273 | [
0.049470053567183196,
0.398181943428752,
0.7484037819545222,
0.244015354020026,
0.4097116659138291,
0.11279380866528704,
-0.0917228959571519,
0.08127608778386816,
0.6863326622658462,
-0.004120433061756877,
0.19741431745778826,
-0.24892045198444362,
0.5301557201117091,
-0.15996998925599498,... | {
"n_parameters": 96,
"n_qubits": 10,
"optimal_eigenvalue": -100,
"target_ratio": 0.97,
"target_value": -97
} | 84 |
b3dcb53c8b4774df946153af64089e6d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6},... | {"states": [31, 1567], "expectation_value": -27.54442776829012, "params": [[[0.0023, 0.0068000000000000005], [1.6156000000000001, 0.0053], [0.0025, 0.0082], [0.0025, 0.0009000000000000001], [0.0025, 0.009600000000000001], [-3.1564, 0.0063], [0.0024000000000000002, 0.0059], [0.0025, 0.0059], [0.0025, 0.0074], [0.0024000... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["00111100000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.08664406704555677) q[0];
rz(0.017254100476732325) q[0];
rx(1.7488100139402367) q[1];
rz(0.0007168503350059559) q[1];
rx(-0.01195003943693744) q[2];
rz(0.08910477609594779) q[2];
rx(-0.01195003943693744) q[3];
rz(-0.007301910110298019) q[3];
rx(-0.01195003943693744... | 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] ... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1,
-2.5,
-2.5,
-2,
-2.5,
0.5,
0.5,
-2,
-2,
-2,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2,
-1.5,
1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97018 | [
0.08664406704555677,
0.017254100476732325,
1.7488100139402367,
0.0007168503350059559,
-0.01195003943693744,
0.08910477609594779,
-0.007301910110298019,
-0.023246361591717148,
-3.1557619667110606,
0.07002615385601159,
-0.018165149652507092,
0.1023062894523987,
0.05007260620642995,
-0.103813... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -28.5,
"target_ratio": 0.97,
"target_value": -27.645
} | 1 |
1a9af805cf7f57ca2d44c009938a54aa | 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}], "edges": [{"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capac... | {"states": [0, 509], "expectation_value": -5.078062561903261, "params": [[[0.0441, -0.1711], [0.0162, 0.5845], [0.0028, 0.0045000000000000005], [0.0028, 0.0024000000000000002], [0.0332, 0.0024000000000000002], [0.0028, 0.0029000000000000002], [0.0021000000000000003, 0.0028], [0.018000000000000002, 0.001], [0.1164, -0.3... | 0.25 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @... | 15 | 10 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000000", "1000000010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.21737501334783768) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(-0.5520984500705635) q[0];
cx q[9], q[0];
rz(0.21737501334783804) q[0];
rx(1.0970996366549022) q[0];
cx q[9], 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": 9} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIIZIIIIII",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIIIIZZII",
"ZIIIZIIIII",
"IIIIZIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIZIZIIII",
"IZIIIZIIII",
"IIZIIIIZII",
"IIZIIIZIII",
"ZIIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIIZIII"... | [
0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-0.5,
-0.75,
0,
1.25,
-0.25,
1
] | 0.650781 | [
-0.5520984500705635,
0.21737501334783768,
0.5253775962002157,
0.9422849881501424,
1.3477559908591945,
-1.3049361310391825,
-0.8550644224009503,
1.097099636654902
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 208 |
668f90355fba57bcb4fb60386433c90f | 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": 7}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [149, 157], "expectation_value": -2.4939324211335174, "params": [0.8091, 0.0354, 0.3049, 0.4829, 0.0813, 0.4693, 0.807, 0.2811, 0.8078000000000001, -0.0009000000000000001, 0.8101, -0.0013000000000000002, 0.0862, 0.45130000000000003, 0.8017000000000001, 0.2617, 0.8039000000000001, 0.0023, 0.29810000000000003,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(7) + -0.5 * Z(3) + 0.0 * Z(5) + -1.0 * Z(6) + 0.0 * Z(4) | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["01100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03151214468051604) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03151214468051604) q[2];
cx q[0], q[2];
rz(-1.5704264103695476) q[0];
rx(-1.5760082004320597) q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.03151214468051604) q[4];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIZI",
"IIIIZZII",
"IIZIIZII",
"ZZIIIIII",
"IZIIZIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0,
-1,
0
] | 0.924291 | [
-0.03151214468051604,
-1.5704264103695473,
1.5705991780520145,
1.5706765641735296,
1.5707989169663568,
-1.57058498502492,
1.5712808281552364,
-1.5760082004320595
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 204 |
cf9a1540b011355d554ff1ed574e9153 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [191, 118], "expectation_value": -43.70097506271805, "params": null, "bitstrings": ["01000000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.08243875724131994, 0.31412767660306534], "optimization_time": 161.67207169532776} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | null | {"matching": "near_perfect", "extra": "{\"n\": 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(9.9081) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
5.5,
15.5,
10.5,
6.5,
16,
13,
9
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -3.060426192187042, "params": [[-0.26880000000000004], [0.2787]], "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 30, "probabilities": [0.017243611506596413, 0.01724361150659642], "optimization_time": 2.929234027862549} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "11001000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.023782534509358612) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.2362354194851212) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.2362354194851212) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.2362354194851212) 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[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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[1]... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZZIIIII",
"IZIIIIZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IZIIIII... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1.5,
-0.5,
0.5,
0,
2,
2,
-0.5,
-0.5
] | 0.690016 | [
0.023782534509358612,
-0.2362354194851212,
0.0030841673081000017,
-1.5267108229648716,
-1.5111620816372704,
-1.5332934594005045,
1.9304385541401896
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 207 |
fcba12f78dbb04a944afdfe31d032329 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 65], "expectation_value": -1.3384522738900042, "params": [[0.0673, 0.0732, 0.07100000000000001], [-0.056100000000000004, -0.0637, -0.058600000000000006]], "bitstrings": ["11111110", "10111110"], "total_optimization_steps": 10, "probabilities": [0.010968821077789, 0.012027059125748297], "optimization_time... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4254799601393619) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.4254799601393619) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0294819745702197) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0294819745702197) ... | 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": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
0,
-0.25,
-0.5,
0.25,
0.5,
1,
0,
-1
] | 0.965139 | [
0.4254799601393619,
0.0294819745702197,
-0.8480239773916536,
0.4187717515697565,
0.6696261157821541,
0.305487811964182,
0.5015073803258601,
-0.3150905293887279,
0.8566058060930665,
0.5723667175968977,
-0.1886534447062073,
-0.03350896778430279,
1.0910279095719788,
-0.16547738044583582,
-0... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 500 |
6502104399488242620 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [1, 4], [0, 2, 5], [1, 2, 3], [0, 2, 4], [0, 3], [1, 5], [3, 5], [0, 4, 5]]} | {"states": [14, 30], "expectation_value": -1.5514117219392844, "params": [[[0.5877, 1.3898000000000001], [-0.2149, 0.22460000000000002], [-1.5777, 1.5882], [-0.0001, 1.588], [0.17800000000000002, 0.0403], [-0.4491, 0.37560000000000004], [0.7552, 0.8462000000000001]]], "bitstrings": ["1110001", "1100001"], "total_optimi... | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @... | 15 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.500000000000001, "smallest_bitstrings": ["1100001"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(-0.8252677289277404) q[5];
cx q[6], q[5];
cx q[5], q[1];
rz(-0.8252677289277404) q[1];
cx q[5], q[1];
cx q[5], q[4];
rz(0.0873146511011388) q[4];
cx q[5], q[4];
cx q[1], q[4];
rz(-0.82526772892774... | 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": []} | [
"ZZIIIII",
"IZIIIZI",
"IZZIIII",
"IIZIIZI",
"IZIIIIZ",
"IIZIIIZ",
"IZIIZII",
"IIIIZZI",
"IIZIZII",
"IIIIZIZ",
"IZIZIII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0,
0.3333333333333337,
0.16666666666666696,
0.3333333333333335,
0.500... | 0.564163 | [
-0.8252677289277404,
0.0873146511011388,
-0.1997937378954718,
0.1300352416616177,
0.8245921329280357
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 137 |
9085778131698867843 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 4, 5, 7, 8], [0, 1, 2, 5, 6, 7, 8], [1, 4, 6], [1, 2, 3, 4, 5, 7, 8], [0, 2, 4, 5, 6, 8], [3, 6], [0, 1, 2, 3, 5, 7]]} | {"states": [143, 497], "expectation_value": -0.04088628584519743, "params": [[0.07250000000000001], [-0.0659]], "bitstrings": ["101110000", "000001110"], "total_optimization_steps": 10, "probabilities": [0.0020469602515713566, 0.0020479089006414652], "optimization_time": 4.217590570449829} | 0.08095238095238094 * (Z(0) @ Z(1)) + 0.08095238095238094 * (Z(3) @ Z(1)) + 0.05714285714285714 * (Z(3) @ Z(0)) + 0.21428571428571427 * (Z(4) @ Z(1)) + 0.05714285714285714 * (Z(4) @ Z(0)) + 0.047619047619047616 * (Z(4) @ Z(3)) + 0.10476190476190475 * (Z(5) @ Z(1)) + 0.11428571428571427 * (Z(5) @ Z(0)) + 0.0809523809523... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7571428571428565], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7238095238095241, "smallest_bitstrings": ["000001110"], "largest_eigenvalue": 6.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.8730252444580923e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-1.8730252444580923e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-3.360498450061661e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-9.546338206155596e-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": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"... | [
0.08095238095238094,
0.08095238095238094,
0.05714285714285714,
0.21428571428571427,
0.05714285714285714,
0.047619047619047616,
0.10476190476190475,
0.11428571428571427,
0.08095238095238094,
0.08095238095238094,
0.10476190476190475,
0.08095238095238094,
0.08095238095238094,
0.04761904761904... | 0.921409 | [
-1.8730252444580923e-8,
-3.360498450061661e-8,
-9.546338206155596e-8,
9.175017605474103e-9,
-4.524237013330176e-8,
-1.5707968333777316,
-1.3829017321796704e-8,
1.5707962461429235,
-1.619591928135296e-8,
3.1415930583323246,
1.4650249881727496e-7,
4.6802186838950503e-8,
1.5707962715148498,
1... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -1.7571428571428565,
"target_ratio": 0.97,
"target_value": -1.7044285714285707
} | 441 |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [7, 35], "expectation_value": -2.1181416555577193, "params": null, "bitstrings": ["111000", "011100"], "total_optimization_steps": 24, "probabilities": [0.05107453549901371, 0.9399494395431499], "optimization_time": 23.61270499229431} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | 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(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"IZZIIZ",
"ZIZIIZ",
"ZZIIIZ",
"ZZZIII",
"ZZZIIZ",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
73234867a8d73902463f648150631001 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 1... | {"states": [125, 63], "expectation_value": -3.7498871464474246, "params": [[0.0027, 0.0026000000000000003, 0.0015, -0.0296, 0.44630000000000003, 0.0027, 1.5682], [0.8917, 0.0034000000000000002, 0.0026000000000000003, 0.6145, 0.0026000000000000003, 0.44970000000000004, 1.5686], [-1.6563, 0.0354, 0.596, 1.568, 1.1913, 1.... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 ... | 9 | 7 | 4 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.09719419956319378) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.6989836249551739) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.06470448402436971) q[2];
cx q[1], q[2];
rz(0.6633440307529... | 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": []} | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIZII",
"ZIIZIII",
"IIIZZII",
"IIZIZII",
"ZZIIIII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-1,
0.5,
-1.25,
-0.25,
-1.25,
-1.5,
-1.25,
-0.5,
-0.75,
-0.75,
-0.5,
-0.25,
-2.5,
1.75,
2,
0.5,
-1
] | 0.898383 | [
-0.09719419956319378,
0.6989836249551739,
0.9270975937150174,
-0.06470448402436971,
0.08956044328374929,
0.663344030752968,
0.01750334737436496,
-4.564173153836214,
2.1872018918678604,
0.9714600095726166,
1.1411583059189332,
-0.16415140025758682,
1.7339458795436893,
0.6659884089974357,
0... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
b6a304d520c14d5694a43ad2063dd94f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [30, 15], "expectation_value": -4.7499153204374736, "params": [[1.5710000000000002, -0.0032, 0.4334, 0.0024000000000000002, -0.0028], [2.3474, 1.4856, 1.5684, 0.4358, -0.0027], [-0.0028, 0.0025, 1.5684, -0.003, 1.5759]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 380, "probabilities": [0.2... | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 9 | 5 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13743803027777515) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.5694632513900186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.13743803027777515) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.06719014077107104) q[4];
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] 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] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-0.5,
-2,
-0.5,
-0.25,
1.25,
-0.25,
-1.25,
-1.25,
0,
-0.25,
0.25,
-0.25,
0.25
] | 0.961404 | [
-0.13743803027777515,
-1.5694632513900186,
0.06719014077107104,
1.6592611721423123,
-0.07731326115708588,
-0.2931724668302063,
1.5177320101520593,
-1.3559685672286401,
-0.03723627267261057,
-1.2295121221910628,
-0.2434190042084019,
1.251513234547198,
-1.643211273080767,
-0.2196509142089397... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 500 |
162fe25b85864244a9d036e97bb77681 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 8}, {"weight": 20, "source": 0, "target": 3}, {"weight": 17, "sourc... | {"states": [249, 244], "expectation_value": -19.263652754648504, "params": [[-0.032600000000000004, 0.0033], [0.0753, 0.0703]], "bitstrings": ["100000110", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0059581342444756024, 0.00786526298342101], "optimization_time": 3.302461862564087} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 7.5 * Z(2) + 10.5 * Z(0) + 15.0 * Z(1) + 17.5 * Z(3) + 1... | 1 | 9 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.1975879172032804) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1975879172032804) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.1975879172032804) q[1];
cx q[0], q[1];
rz(-1.460777526893669) q[2];
rx(1.112701578893194) q[2];
h 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIZIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
7.5,
10.5,
15,
17.5,
13.5,
7,
10.5,
-3,
-1.5
] | 0.849821 | [
0.1975879172032804,
-1.460777526893669,
-0.3624608748234278,
-1.961842776333876,
-1.8999425977422448,
-1.8257522089993659,
1.4090391465448582,
0.9635582054906978,
1.7965589883770254,
1.1127015788931938,
-0.5310691463265786,
-0.22304816811579997,
-0.5641643570332392,
0.6389873502000862,
0... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 500 |
a6c93ef13bc1ab87098804f7a4182b4e | 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": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"sour... | {"states": [278, 406], "expectation_value": -4.081701221481746, "params": [[[0.4091, 0.0032], [0.39840000000000003, -0.0001], [0.1582, 0.1317], [0.0028, -0.2015], [0.40040000000000003, -0.0002], [0.17200000000000001, -0.1233], [0.4061, -0.0019], [0.4056, 0.0007], [-0.018500000000000003, 0.2154]], [[0.39940000000000003,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(1) + -1... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["000111001", "011100001", "001101001"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.496834691073863) q[0];
ry(2.56816033976799) q[0];
rz(-0.8576675979368282) q[0];
rz(1.9015462504234275) q[1];
ry(2.9369896818158536) q[1];
rz(-1.248845480870132) q[1];
rz(-1.68802066426718) q[2];
ry(0.12029682284388193) q[2];
rz(2.1340239391435007) q[2];
rz(1.742354... | 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": []} | [
"IIIIIZIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIIZIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
0,
-1,
-0.5,
-2.5,
-0.5,
-0.5
] | 0.977104 | [
0.6001928411067603,
0.17259289666453892,
0.662304103752434,
-0.18678842356209008,
-0.11899943056787714,
0.32996979889423866,
0.22334789738565852,
-0.3491969033935197,
0.7587466716344197,
0.059711150878725666,
0.2931871135010539,
-0.44288297763862944,
1.1037755811576484,
-0.0185393114878783... | {
"n_parameters": 62,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 16 |
5144181ac27497fdfa9bdb5b8b799630 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}]} | {"states": [41, 42], "expectation_value": -0.4696316687055926, "params": null, "bitstrings": ["010110", "010101"], "total_optimization_steps": 35, "probabilities": [0.06093874768610953, 0.320435824215351], "optimization_time": 23.313288688659668} | 0.25 * (Z(0) @ Z(1)) + -0.003125 * (Z(2) @ Z(0)) + -0.003125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.003125 * (Z(4) @ Z(0)) + 0.0015625 * (Z(4) @ Z(2)) + -0.003125 * (Z(5) @ Z(1)) + 0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.006249999999999978 * Z(1) + -0.006249999999999978 * Z(0) + -0.001562499999999994... | 5 | 6 | 1 | {"smallest_eigenvalues": [-0.759375, -0.759375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.753125, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 0.7718750000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | {"communities_size": 2, "number_of_communities": 2} | {"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(-0.6059) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZIZ",
"IIZIZI",
"IIZZII",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
-0.003125,
-0.003125,
0.25,
-0.003125,
0.0015625,
-0.003125,
0.0015625,
0.25,
-0.006249999999999978,
-0.006249999999999978,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
b35b67be6f13e1c7d0fe900b84e9f3d0 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [83, 90], "expectation_value": -0.3586171315657727, "params": [[0.0528, 0.0693], [-0.030100000000000002, -0.0572]], "bitstrings": ["0101100", "0100101"], "total_optimization_steps": 10, "probabilities": [0.009826650754594381, 0.010077653704147843], "optimization_time": 2.8345789909362793} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101100", "0100101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.1044154877547934) q[0];
ry(-0.14624712835197728) q[1];
rz(-pi) q[1];
h q[2];
ry(1.517125227600992) q[2];
h q[3];
ry(-0.46439454295052995) q[3];
h q[4];
ry(-1.658138407290251) q[4];
h q[5];
ry(1.517125227600992) q[5];
h q[6];
cx q[6], q[3];
ry(0.46439... | 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": []} | [
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"ZIZIIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5,
-0.5
] | 0.993886 | [
-1.658138407290251,
-1.3759637991255074,
1.517125227600992,
-0.9287890859010599,
0.5798954614756153,
-0.5155606941877574,
0.49240477016956247,
-0.38839652885064646,
0.12744775508000605,
-0.18718229301267325,
0.18169653005780909,
0.1441821903289413,
0.11969662451446915,
0.2736294279178377,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
b06e27961007262f3a2ecbf8aba20c59 | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [38, 166], "expectation_value": -3.776659398146403, "params": [1.6054000000000002, 0.005200000000000001, 0.0118, -0.4534, 1.6107, -0.0033, 0.34450000000000003, 0.4656, 1.5987, -0.0016, 1.5494, -0.0036000000000000003, 1.6039, 0.0028, 0.8225, 0.0026000000000000003, -1.5301, -0.018500000000000003, -1.5828, 0.65... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["01011001", "01010110", "01010101"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.8165661135111266) q[0];
rz(1.6822873879029663) q[0];
rx(-0.1761158400586234) q[1];
rz(1.1072219666517356) q[1];
rx(2.9821919954623435) q[2];
rz(1.5640894193406867) q[2];
rx(-0.22897729736989372) q[3];
rz(1.6223776513277102) q[3];
rx(2.0145625558052633) q[4];
rz(1.6... | 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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IZIIZIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-1,
-1,
0,
0
] | 0.975753 | [
2.8165661135111266,
0.1114910611080694,
-0.17611584005862338,
-0.4635743601431611,
2.9821919954623435,
-0.006706907454209848,
-0.22897729736989372,
0.05158132453281461,
2.0145625558052633,
0.08563247619159585,
1.439433386232278,
0.09948764002142826,
3.003695837809674,
0.390496713810319,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
2516a2390c15857d60c9b0fe40f23a00 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 3, "so... | {"states": [11, 9], "expectation_value": -5.749999999986026, "params": null, "bitstrings": ["10100", "10110"], "total_optimization_steps": 17, "probabilities": [0.49999999999767164, 0.49999999999767164], "optimization_time": 7.5881030559539795} | -1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["10100", "10110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5890800937377858) q[0];
rz(-pi) q[1];
ry(-3.1155327368841115) q[1];
rz(-pi) q[2];
ry(-0.04137361749157337) q[2];
h q[3];
h q[4];
ry(1.642088873374983) q[4];
cx q[4], q[2];
ry(0.05197446119306805) q[2];
cx q[4], q[2];
cx q[4], q[1];
ry(0.06805220409940113) ... | 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(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIZIZ",
"IZZII",
"IZIZI",
"ZIZII",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-1.5,
-0.75,
-0.25,
-1,
1.75,
-1,
-1.25,
-0.25,
0.5,
1.25,
-0.25
] | 0.997568 | [
1.6649084475999796,
-1.560195483093402,
-1.5890800937377858,
1.642088873374983,
-0.1039489223861361,
-0.13610440819880226
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 1 |
647de892521e2aa63be27d4c6c55af2d | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "ta... | {"states": [127, 126], "expectation_value": -0.6322881975348642, "params": [[0.0767], [-0.0668]], "bitstrings": ["0000000", "0000001"], "total_optimization_steps": 10, "probabilities": [0.010566734025198905, 0.010784628259019964], "optimization_time": 1.124762773513794} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + -0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1434618188856428) q[0];
rz(2.1162475700307253) q[0];
rx(0.012281816822774606) q[1];
rz(2.1975402462260742) q[1];
rx(0.006164191416446551) q[2];
rz(2.8356395873137883) q[2];
rx(0.5134301427780872) q[3];
rz(-2.6084300238330798) q[3];
rx(-1.4797618259992313) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970154 | [
0.1434618188856428,
0.5454512432358287,
0.012281816822774606,
0.626743919431177,
0.00616419141644655,
1.2648432605188917,
0.5134301427780873,
2.1039589565516104,
-1.4797618259992313,
-0.16126552265002844,
-0.63504957597227,
-0.7654019547492126,
0.012821637033631803,
0.215496707891395,
1.... | {
"n_parameters": 104,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 447 |
1907147209910039680 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6, 7], [1, 2, 3, 5, 6, 7], [1, 2, 3, 4, 7], [0, 1, 2, 3, 4, 5, 6], [0, 2, 3, 7], [2, 3, 4, 5, 6, 7]]} | {"states": [171, 235], "expectation_value": -1.0663455648073006, "params": [1.6887, 0.003, 1.6386, 0.0027, 3.1449000000000003, 0.0081, 0.7649, 0.0039000000000000003, 3.1397, 0.0034000000000000002, 0.7959, 0.0037, 3.1385, 0.0014, 3.1442, 0.0047, 0.008, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0... | 0.19047619047619047 * (Z(0) @ Z(3)) + 0.1738095238095238 * (Z(6) @ Z(3)) + 0.10714285714285714 * (Z(6) @ Z(0)) + 0.2833333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.15 * (Z(7) @ Z(6)) + 0.10714285714285715 * (Z(1) @ Z(3)) + 0.023809523809523808 * (Z(1) @ Z(0)) + 0.05714285714285714 * (Z(1) @ Z(... | 16 | 8 | 1 | {"smallest_eigenvalues": [-1.2904761904761903, -1.2904761904761903], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2571428571428571, "smallest_bitstrings": ["00100010", "00010100"], "largest_eigenvalue": 5.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.0129492471344452) q[0];
rz(-0.07830292544282935) q[0];
rx(2.468245021921351) q[1];
rz(0.038745046660958085) q[1];
cx q[1], q[0];
rz(-0.04372923774884147) q[0];
cx q[1], q[0];
rz(0.17299990212717892) q[1];
rx(-3.088577681962296) q[2];
rz(0.013452780317800617) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IZIIIZII",
"ZIIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIIIZ",
"IZZIIIII",
"ZIZIIIII",
"IIZIIIZI",
"IIZIIZII",
"IIIZZIII",
"IIIZIII... | [
0.19047619047619047,
0.1738095238095238,
0.10714285714285714,
0.2833333333333333,
0.16666666666666666,
0.15,
0.10714285714285715,
0.023809523809523808,
0.05714285714285714,
0.08333333333333334,
0.2238095238095238,
0.10714285714285714,
0.09047619047619047,
0.2,
0.10714285714285715,
0.09... | 0.98085 | [
3.0129492471344452,
-0.12203216319167087,
2.468245021921351,
0.038745046660958085,
3.194607625217291,
-0.15219481302032445,
-0.07036924602844767,
0.08559759703418014,
3.0954906460581286,
0.34625099957883115,
0.35888601670875686,
0.3293367227768761,
2.9721879877752797,
-0.12879266932584443,... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -1.2904761904761903,
"target_ratio": 0.97,
"target_value": -1.2517619047619046
} | 11 |
5a72f9b916a73a48e6cf7a8b539a43a1 | 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": [591, 589], "expectation_value": -48.190434326768624, "params": [1.4872, 0.009000000000000001, 2.0052000000000003, 0.0013000000000000002, 0.14020000000000002, 0.0028, 0.37460000000000004, 0.0046, 2.0132, 0.0067, -0.0031000000000000003, 0.0001, 1.3657000000000001, 0.0036000000000000003, 2.0077000000000003, 0.... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(10) @ Z(9)) + 15.0 * Z(1) + 2.5 * Z(0) + -4.0 * Z(2) + -3.0 * Z(3) + 10.0 * Z(4) + -6.5 *... | 18 | 11 | 1 | {"smallest_eigenvalues": [-125.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["10110110010"], "largest_eigenvalue": 144.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.26279018996995435) q[0];
rz(0.04179782829849277) q[0];
rx(3.040390843782123) q[1];
rz(0.2202004828053442) q[1];
rx(-0.31017930205513544) q[2];
rz(-0.3259773557343266) q[2];
rx(-0.01136661125899796) q[3];
rz(-0.4653605264584679) q[3];
rx(2.9957742660053466) q[4];
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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIIIIIZ",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
15,
2.5,
-4,
-3,
10,
-6.5,
14,
1.5,
6,
3,
17.5
] | 0.980344 | [
0.2627901899699544,
-0.3145124266506303,
3.040390843782123,
0.2202004828053442,
-0.31017930205513544,
-0.3259773557343266,
-0.01136661125899796,
-0.4653605264584679,
2.9957742660053466,
-0.28265829400041814,
0.29069894943116065,
0.00572762909004311,
0.1438978709709055,
-0.6086126536429648,... | {
"n_parameters": 32,
"n_qubits": 11,
"optimal_eigenvalue": -125,
"target_ratio": 0.97,
"target_value": -121.25
} | 21 |
-6508177323496590703 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [3, 6], [0, 3], [0, 4], [1, 4], [0, 7], [1, 5], [5, 6], [5, 7], [0, 2], [3, 4], [2, 4], [1, 3], [6, 7]]} | {"states": [114, 226], "expectation_value": -3.061369057878479, "params": null, "bitstrings": ["10001101", "00011101"], "total_optimization_steps": 71, "probabilities": [0.06407489709276876, 0.717702386310324], "optimization_time": 113.45228791236877} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(7) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["00011101", "11100010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(1.959840688157365) q[2];
h q[3];
h q[4];
ry(-0.06384407754468036) q[4];
cx q[3], q[4];
ry(0.06384407754468036) q[4];
cx q[3], q[4];
ry(-0.06550887431299297) q[3];
cx q[0], q[3];
ry(0.06550887431299297) q[3];
cx q[0], q[3];
ry(-0.06598002852447... | 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[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZIIIIZII",
"ZZIIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIZII",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"ZIZIIIII",
"IZZIIIII",
"IIZIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976289 | [
-0.1276881550893607,
1.959840688157365,
-0.13196005704894775,
1.4947746740852992,
1.2942410579526034,
-0.9569597964230087,
-0.13101774862598595,
0.9719383591128312,
-0.8002266242375988,
-0.2830559865261668,
0.12941289701975242,
-0.7400061505773364,
0.4027917913037487,
0.10878470035948909,
... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 41 |
38d3fa2976b5708749ef569b176bf86a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -0.43311581286588385, "params": [[0.0664], [-0.0692]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.03712682592225945, 0.03826665230669546], "optimization_time": 0.9758679866790771} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -2.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(3) + -0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7141458160811518) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.01315480843248699) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.0022509507312383115) q[1];
cx q[3], q[1];
rz(-1.5662694889347684) q[1];
rx(-1.5304551994702145) ... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIZI",
"ZIZII",
"ZIIIZ",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-0.75,
-1.5,
-2.75,
-0.5,
1,
-0.75,
-0.25,
0.75,
-0.25,
0.5
] | 0.778372 | [
-0.7141458160811518,
-0.01315480843248699,
-0.0022509507312383115,
-0.004005947291836061,
0.00012759544633615102,
-1.5662694889347684,
-1.5704146898700868,
1.5707542138294266,
-1.5304551994702145
] | {
"n_parameters": 9,
"n_qubits": 5,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 260 |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -22.29908051445781, "params": [-0.0034000000000000002, 0.8366, 1.0509, -0.0025, 0.003, 0.8687, 0.5349, -0.0129, 0.0028, 0.8699, -0.0004, 0.8913000000000001, 1.0532000000000001, 0.007500000000000001, -0.0025, 0.8446, 1.0498, 0.0027, 0.0029000000000000002, 0.8136, 0.5357000000000... | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 3 | 7 | 3 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5519503449681885) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.017208535175287056) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1480152089961798) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.017208535175287056) q[4];
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": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] | 0.971147 | [
-0.5519503449681885,
0.017208535175287056,
-0.1480152089961798,
0.27545424319755374,
0.12372846103740961,
-0.38112154939511655,
-0.34473723335479495,
0.32909856397856396,
-0.11483012108538189,
0.15375169245769268,
0.2619884410144011,
-0.08643920947285949,
-0.6077504432577657,
0.41782139429... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 174 |
-8380126326215405259 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 4, 5, 7, 10], [8, 9, 10, 4], [2, 3, 7, 8, 9, 10, 11], [6, 7, 8, 9, 10], [8, 1, 7], [3, 2, 11, 6], [0, 1, 2, 9, 10, 11], [0, 9, 10, 7], [1, 2, 6, 8, 9], [1, 2, 5, 9, 10], [0, 2, 6, 7, 8, 9, 11], [0, 1, 3, 6, 8], [11, 4, 5, 6], [0, 3, 5, 9, 11], [0, 1, ... | {"states": [1911, 1399], "expectation_value": -3.205620452676214, "params": [[[1.4264000000000001, 0.008, 0.0059, 0.0019], [0.0002, 0.0267, 1.5734000000000001, 0.002], [1.4736, 0.0023, 0.0044, 0.0098], [-0.0161, -0.0037, 1.5771000000000002, 0.0017000000000000001], [0.5725, 0.0041, 0.0074, 0.008400000000000001], [1.2096... | 0.07380952380952381 * (Z(0) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(4)) + 0.28095238095238095 * (Z(5) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.23095238095238094 * (Z(7) @ Z(0)) + 0.07380952380952381 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(10) @ Z(4)) + 0.26666666666666666 * (Z(10) @ Z(0)) + 0.18333333333333335 * (Z(10) ... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.133333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.1190476190476195, "smallest_bitstrings": ["101010001000"], "largest_eigenvalue": 20.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.08158030150697343) q[0];
rz(-0.47534445077046783) q[0];
ry(0.3885907425514793) q[1];
rz(-0.11913828264213722) q[1];
cz q[1], q[0];
ry(2.642609934665177) q[1];
ry(0.38670953371846184) q[2];
rz(0.1616792737836121) q[2];
ry(-0.09388451551119104) q[3];
rz(0.4605183845... | 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": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"IIIIZIIZIIII",
"IIIIZIIIIIIZ",
"IIIIZIZIIIII",
"IZIIIIIZIIII",
"IZIIIIIIIIIZ",
"IZIIIIZIIIII",
"IZIIZIIIIIII",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IZIZIIIIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIIZ",
"IIZIIIZII... | [
0.07380952380952381,
0.15714285714285714,
0.28095238095238095,
0.05,
0.23095238095238094,
0.07380952380952381,
0.13333333333333333,
0.26666666666666666,
0.18333333333333335,
0.2571428571428571,
0.08333333333333333,
0.12380952380952381,
0.03333333333333333,
0.3142857142857142,
0.240476190... | 0.977197 | [
0.08158030150697343,
-0.47534445077046783,
0.3885907425514793,
-0.11913828264213722,
0.38670953371846184,
0.1616792737836121,
-0.09388451551119104,
0.460518384552575,
0.6012443522187505,
-0.05744127840897983,
1.6351340975473054,
-0.1851873781361105,
3.3798259494220813,
-0.2826836626445185,... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -4.133333333333334,
"target_ratio": 0.97,
"target_value": -4.009333333333333
} | 18 |
bf3ec5b79f8955f472cb6ac1b88c1910 | 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": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.21414492696127096, "params": [[-0.0327, -0.0453, -0.026000000000000002], [0.0122, 0.052500000000000005, 0.0308]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010030448444510872, 0.010342642591909432], "optimization_time": 3.61782... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.030506047325823155) q[0];
h q[1];
ry(0.9626531012769405) q[1];
h q[2];
ry(0.7812508056207816) q[2];
h q[3];
ry(0.7812508056207816) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7812508056207816) q[3];
cx q[4], q[3];
cx q[3], q[1];
ry(-0.9626531012769405) q[1];
cx 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
0.5,
0.25
] | 0.951722 | [
1.5625016112415633,
1.925306202553881,
1.2541936550988508,
1.4110912127349848,
-0.06101209465164631,
-1.7685038255782743,
-1.804348101458756,
1.9589904075550268,
-1.8509833662241,
0.03816537342584572,
-1.3333242559645757,
0.9913171017473899,
-0.01566841648661444,
0.1802021332140572,
2.98... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 500 |
404057c7f12171487b8e4c0dec61ffa3 | 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": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -1.0006924340228576, "params": [[0.0636, 0.0723, 0.07440000000000001, 0.0641], [-0.0334, -0.0614, -0.0717, -0.063]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.03406784147413414, 0.03456755155420338], "optimization_time": 3.827561616... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h 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(1.5811547544466071) q[0];
h q[0];
rx(1.570796540280365) q[1];
h q[1];
rx(0.8261509600795981) q[2];
h q[2];
rx(1.6265178949297225) q[3];
h 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.25,
0.25,
1,
-0.25
] | 0.4375 | [
1.5811547544466071,
1.570796540280365,
0.8261509600795981,
1.6265178949297225,
1.5707964599706954,
-0.8173580564858312,
-0.6918847223325216,
1.570796435113792,
-4.734253203222546e-9,
-1.5027359744877397e-8,
1.570796448929092,
2.485463203679337
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 265 |
9963c266c8ee556cddb5b688a938b2f1 | 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}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "targ... | {"states": [15487, 16255], "expectation_value": -1.9363375194395178, "params": [[-0.0782], [0.0785]], "bitstrings": ["00001110000000", "00000010000000"], "total_optimization_steps": 10, "probabilities": [0.00013849483060290185, 0.0001415364846968086], "optimization_time": 39.95785880088806} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(12)) + -2.0 * (Z(11) @ Z(12)) + 0.5 * (Z(11) @ Z(10))... | 10 | 14 | 1 | {"smallest_eigenvalues": [-22.999999999999915], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.999999999999883, "smallest_bitstrings": ["00000010000000"], "largest_eigenvalue": 26.000000000000085} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8282540325900167) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.5302446581368386) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.8282540325900167) q[2];
cx q[1], q[2];
rz(0.06601847626709523) q[1];
rx(0.9441089485... | 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[14] c;
qubit[14] 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];
h q[12];
h q[13];
cx q[1], q[0];
rz(x0) ... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIZZIIII",
"IIIIIIIZZIIIII",
"IIIIIZZIIIIIII",
"IIIIZZIIIIIIII",
"IIIIZIZIIIIIII",
"IZIZIIIIIIIIII",
"IZZIIIIIIIIIII",
"IIZZIIIIIIIIII",
"ZZIIIIIIIIIIII",
"ZIIZIIIIIIIIII"... | [
-2,
1,
-2,
-2,
1,
-2,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.566689 | [
0.8282540325900167,
0.5302446581368386,
1.0670624352294005,
0.06601847626709541,
1.5941942805353277,
0.9441089485818035
] | {
"n_parameters": 6,
"n_qubits": 14,
"optimal_eigenvalue": -22.999999999999915,
"target_ratio": 0.97,
"target_value": -22.309999999999917
} | 185 |
8197999484372226377 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [1, 4, 6], [0, 2, 4], [4, 5]]} | {"states": [103, 231], "expectation_value": -1.106594759918099, "params": [[[1.5508000000000002, 0.0063], [0.3294, 0.0029000000000000002], [2.8868, 0.006200000000000001], [0.26280000000000003, 0.0035], [2.8922000000000003, 0.0098], [1.0075, 0.005], [0.2758, 0.0037], [2.8909000000000002, 0.0082]]], "bitstrings": ["10011... | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666... | 2 | 8 | 1 | {"smallest_eigenvalues": [-1.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["00011000"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.2788665925630512) q[0];
rz(-0.18934360118131555) q[0];
rx(-0.22642508096151048) q[1];
rz(-0.07878476011618112) q[1];
rx(3.1521269734084014) q[2];
rz(0.4388116102719267) q[2];
rx(-0.0004595672404492622) q[3];
rz(0.2730878321651497) q[3];
rx(3.1155490740978986) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIZIIIZ",
"IIIZIIZI",
"IZIZIIII",
"IZIIIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIZZIIII",
"IIIIZIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.33333333333333326,
0.166666666... | 0.972285 | [
0.2788665925630512,
-0.18934360118131555,
-0.22642508096151048,
-0.07878476011618112,
3.1521269734084014,
0.4388116102719267,
-0.0004595672404492622,
0.2730878321651497,
3.1155490740978986,
0.05325383335531378,
0.45607268855907546,
0.2565187599457084,
0.01456846102625486,
0.164408888348703... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -1.5000000000000004,
"target_ratio": 0.97,
"target_value": -1.4550000000000003
} | 17 |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [33, 1], "expectation_value": -0.92845736893802, "params": [[0.0068000000000000005, 0.0468, 0.009600000000000001], [0.0125, -0.0412, -0.027700000000000002]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005817441985030184, 0.00589702697778665], "optimization_tim... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005854303607264674) q[0];
rz(0.3960597459368831) q[0];
rx(-0.013489921067996584) q[1];
rz(0.8659527247617227) q[1];
rx(0.693863413275396) q[2];
rz(-0.07052575540604744) q[2];
rx(0.07980093795002999) q[3];
rz(0.23434034951631544) q[3];
rx(-0.05568818637921519) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-1.5,
-0.5,
-0.25,
2.5,
-0.5,
-2.75,
-1.5,
-1.25,
-0.25,
-3.25,
-0.25,
0.5,
0,
2.5,
0.5,
-0.5,
0.5
] | 0.977064 | [
-0.005854303607264674,
0.5558932394584737,
-0.013489921067996583,
0.6906493351292241,
0.6938634132753959,
0.052719814559119754,
0.07980093795002999,
0.4969877308788506,
-0.05568818637921519,
0.7924222696935164,
0.07016453342192276,
0.8263182994596178,
0.18091812245774114,
-0.56424050298015... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
88525e42a6b52b1310ef85f16cc3cc65 | 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": [159, 143], "expectation_value": -55.41463622479437, "params": [0.9912000000000001, 0.004, -0.0029000000000000002, 0.6644, 0.3008, 0.3603, 0.4893, -0.2353, 0.9911000000000001, 0.10200000000000001, 0.9895, -0.012, 0.9943000000000001, 0.0238, 0.9735, 0.1589, 0.9939, -0.0063, -0.0038, 0.6692, 0.2997, 0.3613, 0.... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 21.0 * Z(0) + -5.5 * Z(1) + 10.0 * Z(3) + 5.5 * Z(4) + 3.5 * Z(2) + 7.5 * Z(5) + 15.5 * Z(6) + 12.0 ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["01110000"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.1424604707734127) q[0];
rz(0.14417044152360692) q[0];
rx(0.0007610317524640708) q[1];
rz(0.64521491790355) q[1];
rx(0.08066870735631382) q[2];
rz(0.2977191191744488) q[2];
rx(0.05005743096185593) q[3];
rz(0.00958347225851472) q[3];
rx(1.1008341359491909) q[4];
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, 6, 7], \"right_nodes\": [8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIZII",
"IIZZIIII",
"IIZIIZII",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
21,
-5.5,
10,
5.5,
3.5,
7.5,
15.5,
12
] | 0.974035 | [
1.1424604707734127,
0.08991674952972606,
0.0007610317524640708,
0.64521491790355,
0.08066870735631382,
0.2977191191744488,
0.05005743096185593,
0.00958347225851472,
1.1008341359491909,
0.16335192884422772,
1.029222368573693,
0.06689571020030272,
0.8053622566871983,
-0.07078853209405156,
... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 9 |
f20b14ccaf46fd91ed39b9c05edbe906 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 8, "source":... | {"states": [123, 59], "expectation_value": -9.495006119839367, "params": [[0.057], [-0.07490000000000001]], "bitstrings": ["0000100", "1000100"], "total_optimization_steps": 10, "probabilities": [0.01370641605359119, 0.014668888744638514], "optimization_time": 2.1534671783447266} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(1)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 13.0 * Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-53.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["1000100"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IZIIZII",
"IZZIIII",
"ZIIIIZI",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
13,
7.5,
15.5,
16,
13,
9,
14
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
18dd4c426cbe67a44eb1a1feaa80acf2 | 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": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [51, 119], "expectation_value": -6.9030415441186825, "params": null, "bitstrings": ["11001100", "10001000"], "total_optimization_steps": 69, "probabilities": [0.2168824596047679, 0.2675820057610101], "optimization_time": 100.38166093826294} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10000000", "10001000", "10011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.030884823531118308) q[1];
cx q[3], q[1];
h q[4];
cx q[4], q[0];
rz(0.030884823531118308) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.40111922029181324) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.007720559305830536)... | 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[... | [
"IIIZIIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIZIZIII",
"IIZIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-1,
-1,
-1.25,
-0.5,
-0.5,
-1.5,
-1.5,
-0.5,
-0.25,
1.25,
-1,
-1.75,
-1.75,
-0.75,
-1.75,
-0.25,
-1,
2,
-0.25,
0.25,
-1.5,
2.5
] | 0.931747 | [
0.030884823531118308,
-0.40111922029181324,
0.007720559305830536,
-0.23315600538113385,
0.24539243476162034,
-0.4806649345399758,
0.17063070767241398,
-0.008540380939666133,
-1.7059085606254492,
1.636041258700253,
-0.9195588453897449,
1.2680234351244943,
0.021909361287217762,
-0.3369092285... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 500 |
16db80e23401221151a1d98fc21253cf | 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}, {"bipartite":... | {"states": [490, 234], "expectation_value": -45.81474542423631, "params": [1.5694000000000001, 0.005200000000000001, 2.4077, 0.009600000000000001, 2.3914, 0.0011, 2.4043, 0.007500000000000001, 0.9404, 0.0094, 2.4099, 0.004, 1.3765, 0.0015, 2.4049, 0.0066, -0.002, 0.001, 0.005, 0.0058000000000000005, 0.00240000000000000... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(1)) + 13.0 * Z(1) + 12.5 * Z(2) + 5.0 * Z(0) + 8.5 * Z(3) + 12.0 * Z(5) + 1.0 * Z(4) + 10.0 * Z(7) + 4.0 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.07590928297699068) q[0];
rz(-0.20514038204970486) q[0];
rx(3.105398025622982) q[1];
rz(0.7152020881196426) q[1];
rx(3.156248455857431) q[2];
rz(0.7247263734514109) q[2];
rx(3.5258527438747937) q[3];
rz(0.8444639325516996) q[3];
rx(0.10962034168911333) q[4];
rz(0.15... | 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, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIIZZIII",
"IIIZZIIII",
"IZIIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
13,
12.5,
5,
8.5,
12,
1,
10,
4,
-4
] | 0.973835 | [
0.07590928297699068,
-0.27612346186417525,
3.105398025622982,
0.7152020881196426,
3.156248455857431,
0.7247263734514109,
3.5258527438747937,
0.8444639325516996,
0.10962034168911333,
0.15214958148736898,
3.214527470134844,
-0.7275645475283415,
0.03802760441517275,
-0.26361138964710784,
3.... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 17 |
8371d10567e2a79675b7c54d9bc2bc4c | 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": 2, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [1023, 1011], "expectation_value": -0.15398234103693248, "params": [[0.0364], [-0.0362]], "bitstrings": ["0000000000", "0000001100"], "total_optimization_steps": 10, "probabilities": [0.0010772562052295774, 0.0010772562052295783], "optimization_time": 1.5027375221252441} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) | 5 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000000000", "0000001100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.3517812042951984) q[0];
cx q[1], q[0];
rz(-0.3462869944370093) q[0];
rx(-0.8875049246396636) q[0];
rz(-0.3462869944370093) q[1];
rx(-0.8875049246396636) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-1.144059905202581) q[3];
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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x1) q[3];
cx q[4]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"
] | [
-1,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.518688 | [
-1.3517812042951984,
-1.144059905202581,
-0.3462869944370094,
-0.6968876121860424,
-0.8875049246396635
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 157 |
1c2304a67a30db02b0aacaef8f54cc49 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [122, 118], "expectation_value": -39.07847706733162, "params": null, "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 100, "probabilities": [0.13642672542812723, 0.17023039196499282], "optimization_time": 157.27636003494263} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.24986965852497725) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.24986965852497725) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.24986965852497725) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.24986965852497725) q[3];
cx q[1], ... | null | {"matching": "near_perfect", "extra": "{\"n\": 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(34.778) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
7.5,
18,
22,
9,
15.5,
12,
12.5
] | 0.975247 | [
-0.24986965852497725,
1.3798768189646131,
0.5821516926402323,
1.507434803907877,
0.15831176221933974,
1.6841090119447395,
1.868921696942766,
-0.8358733501937907,
-0.1051427607175125,
0.20699330037022715,
0.7086183832847479,
-1.714949108239384,
-0.20111868516637169,
-0.47681140686524326,
... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 81 |
f222dfb2324275edf5e9240be57dcb14 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [44, 116], "expectation_value": -0.20484855651502, "params": [[-0.0234, -0.0529], [0.0218, 0.0526]], "bitstrings": ["1010011", "0001011"], "total_optimization_steps": 10, "probabilities": [0.008747060220678664, 0.008763464509337272], "optimization_time": 2.879378318786621} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.07648152232230113) q[0];
rz(0.9216052864556517) q[0];
rx(1.7238757987083333) q[1];
rz(0.5715058600387561) q[1];
rx(0.5367869467538573) q[2];
rz(0.022857746598916207) q[2];
rx(1.8244911597998281) q[3];
rz(-0.23271919603398716) q[3];
rx(-0.32748779038630377) q[4];
r... | 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[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(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-0.5,
0
] | 0.970993 | [
-0.07648152232230113,
0.6285015174134017,
1.7238757987083333,
0.5715058600387561,
0.5367869467538573,
0.022857746598916207,
1.8244911597998281,
-0.23271919603398716,
-0.32748779038630377,
0.01580364509740706,
2.1030469978115702,
0.30694892068083535,
1.2562968153353444,
0.25420176798302757,... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 28 |
7203b0dd22c47919131561d597fd7a8a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -9.24249072502262, "params": [-0.0029000000000000002, -0.0716, -0.0034000000000000002, -0.06720000000000001, 0.0032, -0.16140000000000002, 0.0033, -0.1618, 0.0017000000000000001, -0.1595, 0.0008, -0.1653, 0.006, -0.0927, -0.0017000000000000001, -0.14880000000000002, 0.0235, 0.100... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z... | 5 | 9 | 4 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111110", "111101110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.6261433409579646) q[0];
h q[1];
ry(-1.6261433409579646) q[1];
h q[2];
ry(-1.6261433409579646) q[2];
rz(-pi) q[3];
ry(-0.003475474137040734) q[3];
h q[4];
h q[5];
ry(-1.6261433409579646) q[5];
h q[6];
ry(-1.6261433409579646) q[6];
ry(-0.11685501828103699) q... | 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIZIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-0.25,
-0.25,
-0.75,
2.25,
-0.25,
-0.75,
-0.75,
-1,
-0.25,
-0.5,
-1,
-1.25,
-0.25,
0,
-1,
2.25,
-0.5,
-1,
0.25,
1.5
] | 0.997034 | [
1.5924862099504202,
-1.6261433409579646,
-1.5138906424613596,
-1.5345727500490354,
-0.07939810176580403,
0.11989866789499973
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 1 |
c76cc7fae6b2b79c3a2e42661a89d7e4 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [1016, 1019], "expectation_value": -0.7862096657313686, "params": [[0.064], [-0.0645]], "bitstrings": ["0000000111", "0000000100"], "total_optimization_steps": 10, "probabilities": [0.0014118732869435001, 0.0014334819124027633], "optimization_time": 1.7627289295196533} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-15.0, -15.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.0, "smallest_bitstrings": ["0000000100", "0000000111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.18872989177382343) q[0];
rz(2.667414545535653) q[0];
rx(-0.4595761321326567) q[1];
rz(1.7593517952242035) q[1];
rx(-1.5887179083404317) q[2];
rz(-3.0741596700907916) q[2];
rx(-2.4322051996601246) q[3];
rz(-3.0133205492442636) q[3];
rx(-2.2208383700599112) q[4];
r... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIZIZIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIIIZZIIII",
"IIIIIZZIII",
"IIIZIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIZIIIIIII"... | [
-1.5,
-1.5,
0.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.939599 | [
-0.18872989177382343,
1.0966182187407572,
-0.4595761321326567,
0.18855546842930693,
-1.5887179083404317,
1.6382293102938978,
-2.4322051996601246,
1.699068431140426,
-2.2208383700599112,
1.3022953242263415,
-2.046414210630835,
1.2122967551148514,
-1.3903251883658176,
1.0986831043396448,
-... | {
"n_parameters": 100,
"n_qubits": 10,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 500 |
6079455971109850391 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 6], [0, 2], [0, 3], [0, 4], [0, 5], [1, 7]]} | {"states": [126, 124], "expectation_value": -2.1567044244642957, "params": [0.4032, 0.6244000000000001, 0.3425, 0.0008, 1.2936, 0.1029, 1.2927, 0.0027, 1.2968, -0.1385, 1.3038, 0.0016, 1.2995, -0.1053, 1.2908000000000002, 0.0015, 1.2951000000000001, -0.10600000000000001, 1.2908000000000002, 0.0035, 1.3030000000000002, ... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(2) + 0.16666666666666663 * Z(1) + 0.16666666666666666 * Z(6) + 0.0 * Z(0... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333, -2.833333333333333, -2.833333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000000", "00111101", "10000011"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.19965052046217344) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.19965052046217344) q[6];
cx q[2], q[6];
cx q[1], q[6];
cx q[2], q[0];
rz(-1.4945630814708064) q[0];
cx q[2], q[0];
cx q[0], q[3];
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": []} | [
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIZI",
"IZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666663,
0.16666666666666666,
0,
0,
0,
0,
0
] | 0.539871 | [
-0.19965052046217344,
-1.4945630814708064,
0.04815367189486459,
0.7901149445990312
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 113 |
e8fdec38f32f10530d269f6547919d57 | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 26], "expectation_value": -3.999900324820464, "params": null, "bitstrings": ["001101", "100101"], "total_optimization_steps": 26, "probabilities": [1.718751956347206e-05, 0.9999500716492452], "optimization_time": 21.541810989379883} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZZII",
"ZIZIII",
"ZZIIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-1,
-0.5
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
2e176b1388169c31718c374b42e0c725 | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [70, 63], "expectation_value": -3.8557345323839898, "params": null, "bitstrings": ["0111001", "1000000"], "total_optimization_steps": 52, "probabilities": [0.061725432789195255, 0.6825766806121321], "optimization_time": 54.81309247016907} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.3830779787968251) q[0];
ry(-0.14730277028732375) q[1];
ry(0.2538099171114016) q[2];
ry(-0.257984861099843) q[3];
ry(-0.3976519478359509) q[4];
ry(-0.08193555877137179) q[5];
ry(2.987372434386749) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx... | 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(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
0.25,
-0.25,
-0.75,
0,
-0.25,
0.25,
0.75
] | 0.973055 | [
-0.3830779787968251,
-0.14730277028732375,
0.2538099171114016,
-0.257984861099843,
-0.3976519478359509,
-0.08193555877137179,
2.987372434386749,
-0.2506718433023688,
0.13138656850175684,
0.08791202870362592,
0.05729874253553658,
-0.066058617225672,
-0.008338066771797888,
0.0017510417082033... | {
"n_parameters": 27,
"n_qubits": 7,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 42 |
-6715739738485015248 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [1, 2], [4, 5]]} | {"states": [42, 14], "expectation_value": -1.4459077414127894, "params": null, "bitstrings": ["010101", "110001"], "total_optimization_steps": 31, "probabilities": [0.051759288924156245, 0.7900196277016767], "optimization_time": 15.779792785644531} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -0.5, "smallest_bitstrings": ["110010", "110001", "101010", "101001", "001110", "001101", "010110", "010101"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.48027419297702223) q[0];
h q[1];
ry(-0.48027419297702223) q[1];
h q[2];
cx q[2], q[1];
ry(0.48027419297702223) q[1];
cx q[2], q[1];
ry(-0.9213902772286457) q[1];
ry(1.1524675820181998) q[2];
h q[3];
cx q[3], q[0];
ry(0.48027419297702223) q[0];
cx q[3], 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[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIZIIZ",
"IIIZZI",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.977848 | [
-0.9605483859540445,
0.932630753207473,
-0.7646676522469371,
0.35382315586000346,
0.4396736576214536,
0.308010637732277,
-0.3134452499634171,
-0.5279542263761695,
-0.20746358290881786,
0.1558679609743292,
0.2849615422716489,
0.18210950390916048,
-0.10431238166429777,
0.018702917539946462,
... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 2 |
edcfb23bce20006c9068dffaa56954c6 | 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": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 9}, {"weight": 16, "source": 1, "target": 8}, {"weight"... | {"states": [427, 426], "expectation_value": -84.80845781581715, "params": [0.16440000000000002, -0.11280000000000001, 0.7802, 0.011300000000000001, 0.7916000000000001, 0.0055000000000000005, 0.2612, 0.056100000000000004, 0.7893, 0.0031000000000000003, 0.3584, -0.2701, 0.7894, -0.0022, 0.1316, 0.020300000000000002, 0.77... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 18.5 * Z(1) + 5.0 * Z(0) + 8.0 * Z... | 4 | 10 | 4 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 156.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2638139907172409) q[0];
rz(1.3208347175217234) q[0];
rx(0.7335750259893613) q[1];
rz(1.4072098971986762) q[1];
rx(0.677727065493411) q[2];
rz(1.4527741653407036) q[2];
rx(0.46443955743998444) q[3];
rz(1.765322075284809) q[3];
rx(0.6235357135766126) q[4];
rz(1.4206... | 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
18.5,
5,
8,
19,
-3.5,
7.5,
-2.5,
2,
16.5,
14
] | 0.972876 | [
0.2638139907172409,
-0.249961609273173,
0.7335750259893613,
-0.16358642959622008,
0.677727065493411,
-0.11802216145419316,
0.4644395574399844,
0.19452574848991183,
0.6235357135766126,
-0.15016441950426007,
0.1062053226852151,
0.036307049619536534,
0.8675891661289881,
-0.08579284699972797,
... | {
"n_parameters": 114,
"n_qubits": 10,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 13 |
e877d3b2f9804d2377a79bff7b887b67 | matching | adaptive_vqe | {"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": 8, "source": 0, "t... | {"states": [203, 110], "expectation_value": -36.69061979915625, "params": null, "bitstrings": ["00110100", "10010001"], "total_optimization_steps": 100, "probabilities": [0.21089202198921272, 0.27726799749448156], "optimization_time": 149.84754395484924} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(3) + 1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.017981262724299375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.017981262724299375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.017981262724299375) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.017981262724299375) q[3];
cx q[1], ... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 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(7.7632) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
8.5,
12,
7,
1,
13,
16.5,
7.5
] | 0.970765 | [
0.017981262724299375,
1.212573707341711,
-1.1550771248156908,
1.124609087092233,
-1.1078500346923374,
1.1151316255952932,
0.7676345067154235,
1.0291231689972888,
-1.2517005821613711,
-0.5279065003893286,
0.022474379738371658,
0.4465780795699846,
-0.8665322393723809,
0.03468356842517979,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -64,
"target_ratio": 0.97,
"target_value": -62.08
} | 63 |
6440352897ae715b0d3a7f54566e1380 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 18, "source": 0, "target": 2}, {"weight": 7, "source": 2, "target": 3}, {"... | {"states": [115, 110], "expectation_value": -25.327021181815557, "params": [[0.022000000000000002, 0.0106, -0.0086, 0.0024000000000000002], [-0.0521, -0.0654, -0.057100000000000005, -0.059300000000000005]], "bitstrings": ["10001100", "10010001"], "total_optimization_steps": 10, "probabilities": [0.013638812398526944, 0... | 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(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.055697659287722925) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.055697659287722925) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.055697659287722925) q[2];
cx q[0], q[2];
rz(-0.4694826043279816) q[0];
rx(-0.3162701581341799) 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[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17,
1,
16,
11.5,
10,
15.5,
7.5,
6
] | 0.970284 | [
-0.055697659287722925,
1.4547062001441282,
-0.46948260432798206,
1.3468945306892246,
-0.5579546998846485,
0.5519492686607871,
1.2072642378373164,
0.930898757947097,
-1.9298838529419649,
-0.3162701581341799,
0.09238996835585006,
0.3640056703940024,
-1.3794870854305046,
0.4012223804866644,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 49 |
884c33f1fbfdb3489190b99b10954c8f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [512, 1], "expectation_value": -25.827460804750107, "params": null, "bitstrings": ["0111111111", "1111111110"], "total_optimization_steps": 38, "probabilities": [0.2892268051818045, 0.6070108989081892], "optimization_time": 66.9370048046112} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.050073210182787306) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.06324935241630691) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.011553066943631517) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.011553066943631517) q[3];
cx q[0... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.57) 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];... | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIZZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZZIIIIIIII"... | [
-0.5,
-1,
-0.75,
-0.75,
-1.5,
-2.25,
-0.75,
-1,
-1.25,
-1,
-1.5,
-0.75,
-1.5,
-0.5,
-0.75,
-1.25,
-1.25,
3.25,
-0.5,
-0.75,
-1.25,
-1.25,
-1.5,
-2.25,
-0.75,
-1.5,
-2,
-0.25,
0.75,
-3.25,
-0.25,
0,
3,
1.5,
0.5,
0
] | 0.975481 | [
0.050073210182787306,
-0.06324935241630691,
-0.011553066943631517,
0.017430541594316385,
0.0209721554660499,
-0.06141576819310688,
-0.17847316766339205,
1.5086296337133094,
1.7141328167999783,
1.4455882355296337,
1.6917884335428837,
1.405522782215535,
1.644569268937441,
1.4225942230242805,... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -26.75,
"target_ratio": 0.97,
"target_value": -25.947499999999998
} | 160 |
98ff52dd3a46eb29e6baf499c47cc739 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [24, 9], "expectation_value": -0.708278276343486, "params": [[-0.08080000000000001, -0.07930000000000001, -0.0653], [0.0781, 0.07880000000000001, 0.0728]], "bitstrings": ["00111", "10110"], "total_optimization_steps": 10, "probabilities": [0.0476830700843724, 0.04768307008437241], "optimization_time": 2.5833... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx 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] 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": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
eef64d2a5dbf018785bb2eafc31c3245 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [3, 15], "expectation_value": -3.2956904391609854, "params": [[0.0724, 0.07440000000000001, 0.0734], [-0.0631, -0.0644, -0.0634]], "bitstrings": ["11111100", "11110000"], "total_optimization_steps": 10, "probabilities": [0.01438743867890528, 0.018152358805241728], "optimization_time": 3.382805585861206} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10702764500306078) q[0];
rz(1.8460079357091796) q[0];
rx(-0.09900207468748345) q[1];
rz(1.810072638291011) q[1];
rx(-0.10295100411381941) q[2];
rz(1.8216471371099985) q[2];
rx(-0.08088515754317219) q[3];
rz(1.6163125792682465) q[3];
rx(0.3932787664762013) q[4];
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": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIZIIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.25,
-1,
2.5,
-1.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1.25,
-0.25,
0.5,
1,
-2.25,
-0.5,
2,
0.75
] | 0.980626 | [
-0.10702764500306078,
0.27521160891428315,
-0.09900207468748345,
0.2392763114961134,
-0.10295100411381941,
0.2508508103151006,
-0.08088515754317219,
0.04551625247334859,
0.39327876647620125,
0.06958748977032685,
0.7492571955383739,
-0.2769461864098085,
0.47868772864866804,
-0.1464960204355... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 16 |
e9e1c3bad7671d416f508c960af260f6 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [2997, 4021], "expectation_value": -11.335457761776276, "params": [[[1.5746, 1.864], [0.0028, -1.2873], [1.0173, 0.0027], [-0.050300000000000004, -0.0026000000000000003], [1.5751000000000002, 1.0082], [-0.0027, 1.0052], [-0.9881000000000001, -0.0031000000000000003], [0.0016, -0.0031000000000000003], [1.6975,... | 0.5 * (Z(4) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(4)) + 1.0 * (Z(10) @ Z(8)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(12) @ Z(10)) + 0.5 * (Z(12) @ Z(5)) ... | 15 | 13 | 2 | {"smallest_eigenvalues": [-12.200000000000003, -12.200000000000003, -12.200000000000003, -12.200000000000003], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.000000000000002, "smallest_bitstrings": ["1000001001001", "1000000001000", "1000011001100", "1000001001010"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5744169391312657) q[0];
h q[1];
ry(-0.05753664395928477) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.024728804110098233) q[3];
ry(-0.05753664395928477) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5744169391312657) q[5];
h q[6];
ry(1.5912199140774594) q[6];
cx q[6], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZIIII",
"IIIIZZIIIIIII",
"IIIIZIIIZIIII",
"IIZIIZIIIIIII",
"IIZIIIIIZIIII",
"IIZIZIIIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIZZIIII",
"IIIIZIIZIIIII",
"IIZIIIIZIIIII",
"IZZIIIIIIIIII",
"IZIIIIIZIIIII",
"ZIZIIIIIIIIII",
"ZIIIIIIZIIIII",
"ZZIIIIIIIIIII",
"IIZIIIZIIIIII",
"IIIIIIZZIII... | [
0.5,
2,
1,
0.5,
0.5,
1,
-0.5,
-0.5,
-1,
-0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-1,
-1,
-0.5,
-1,
-1,
-2,
0.8,
0.5,
1,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.4,
2.5,
2.5,
5,
2,
-1,
1,
1,
-1,
-0.799999999999... | 0.999378 | [
1.5912199140774594,
-1.5744169391312657,
-1.485651063635235,
-1.5624441216083338,
-0.06616201859332208,
-0.05521723840075406
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
e60297b909a5ba9a1b43addfacb68a9e | 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": [748, 620], "expectation_value": -116.59290330731582, "params": [-0.0028, 0.4959, 0.7004, 0.1265, 0.09920000000000001, 0.3015, 0.29760000000000003, -0.171, 0.6959000000000001, 0.011600000000000001, 0.7011000000000001, 0.0056, -0.0022, 0.3643, 0.7005, -0.0045000000000000005, 0.6930000000000001, 0.113, 0.2504,... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(3) @ Z(5)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(4)) + 0.5 * Z(2) + 16.5 * Z(1) + 16.0 ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-140.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.5, "smallest_bitstrings": ["10110010011"], "largest_eigenvalue": 213.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.052185936813094434) q[0];
rz(0.7722032583833407) q[0];
rx(0.9065790042424565) q[1];
rz(0.06454941112351532) q[1];
rx(-0.135690055836259) q[2];
rz(0.23778788707970355) q[2];
rx(0.12228405321506736) q[3];
rz(-0.09800278345682836) q[3];
rx(0.6160375480649941) q[4];
... | 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, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIIIZIIZI",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
0.5,
16.5,
16,
9,
23,
15.5,
17,
-3,
3,
4.5,
-14
] | 0.974755 | [
-0.05218593681309444,
0.6193244900207249,
0.9065790042424565,
0.06454941112351532,
-0.135690055836259,
0.23778788707970355,
0.12228405321506736,
-0.09800278345682836,
0.6160375480649941,
-0.033464033419809,
0.751725886241716,
-0.07732451087668381,
0.16462688693395844,
0.3920739840063271,
... | {
"n_parameters": 127,
"n_qubits": 11,
"optimal_eigenvalue": -140.5,
"target_ratio": 0.97,
"target_value": -136.285
} | 9 |
155388a51f67e78b5cb4ef00a89a070e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [26, 10], "expectation_value": -2.87004574440299, "params": [0.0041, 0.4264, 0.5172, 0.049800000000000004, 0.6039, 0.0073, 0.002, 0.453, 0.5528000000000001, -0.0036000000000000003, 0.0011, 0.3951, -0.0026000000000000003, 0.42160000000000003, 0.5169, 0.0497, 0.6071000000000001, 0.0082, 0.0015, 0.445, 0.5483, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -1.0 * Z(3) + -0.25 * Z(4) + -0.75 * Z(5) | 18 | 6 | 3 | {"smallest_eigenvalues": [-3.75, -3.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.75, "smallest_bitstrings": ["100111", "110101"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.5552024880387824) q[0];
rz(2.173491543047642) q[0];
rx(-0.021432730878157114) q[1];
rz(1.5854448914960635) q[1];
rx(0.08647489835213272) q[2];
rz(1.4767621538449163) q[2];
rx(-0.14845667224857556) q[3];
rz(0.9389022761135877) q[3];
rx(0.7033000905919017) q[4];
rz(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": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-1,
-0.5,
-0.25,
-1,
-0.25,
-0.75
] | 0.970783 | [
0.5552024880387824,
0.602695216252745,
-0.021432730878157114,
0.014648564701166138,
0.08647489835213272,
-0.09403417294998005,
-0.14845667224857556,
-0.6318940506813102,
0.7033000905919017,
-0.5231828220558223,
0.16331503638394998,
-0.06395732096708569,
0.6571705851500236,
-0.1287814249440... | {
"n_parameters": 125,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 172 |
cf9a1540b011355d554ff1ed574e9153 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [119, 118], "expectation_value": -26.95783215482855, "params": [[-0.0363, 0.0012000000000000001, 0.0129], [0.0785, 0.065, 0.0637]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01349818778159668, 0.016960834465058416], "optimization_time": 9.397437810897827} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
5.5,
15.5,
10.5,
6.5,
16,
13,
9
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
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": -10.853058880807433, "params": [[-0.0145, -0.012100000000000001, 0.0378, 0.0251], [0.0128, 0.0178, -0.0315, -0.0334]], "bitstrings": ["010101001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0036294732059556955, 0.004263247370488369], "optimization_time"... | 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 | 4 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4425492888678123) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.4425492888678123) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4425492888678123) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.4425492888678123) 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\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
19,
13.5,
11,
13,
16,
9,
-3,
6,
3.5
] | 0.971772 | [
-0.4425492888678123,
2.0805051341880763,
-0.8059424329398818,
0.909658234555579,
0.5864643823955256,
0.4520557735563614,
2.1315789794619,
-1.545508813975371,
-1.3406375248769506,
-0.9044464262927957,
0.13583358901083126,
0.48780027186058117,
-0.6613907779366653,
-0.765987281107893,
0.924... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 63 |
86f7cf811774c9dc1f8ac7ebefafd51c | 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": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.059456772420078935, "params": [[0.050300000000000004, 0.0175], [-0.042100000000000005, -0.0244]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.01679928591834917, 0.016810881056744872], "optimization_time": 2.9997751712799072} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0790389152662755e-08) q[0];
cx q[1], q[0];
rz(1.5707962985663944) q[0];
rx(1.5707963327959067) q[0];
h q[2];
cx q[1], q[2];
rz(-1.5707963227011057) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-3.0790389152662755e-08) 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[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": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
0,
-0.5,
0
] | 0.833806 | [
-3.0790389152662755e-8,
-1.5707963227011057,
-2.208195592934281,
1.5707962985663946,
-0.09859111269968171,
1.5707963327959067
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 168 |
a6da0588e4f06076b5c2f06ef98c16c3 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [112, 97], "expectation_value": -3.4890655849039938, "params": null, "bitstrings": ["0001111", "0011110"], "total_optimization_steps": 29, "probabilities": [0.06023653945128992, 0.8645368914475874], "optimization_time": 17.858749866485596} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101011", "1000111", "1010110", "0011110", "0111100", "0111001", "0001111"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6893829270649235) q[0];
rz(-0.15246847792251517) q[0];
rx(0.8054746318133343) q[1];
rz(-0.1838163856781594) q[1];
rx(0.4051055585965716) q[2];
rz(-0.22350801436726764) q[2];
rx(0.0026468023417618863) q[3];
rz(0.4052824277792104) q[3];
rx(-0.3718109169788402) 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];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.983472 | [
0.6893829270649237,
-0.15421740938566555,
0.8054746318133343,
-0.21500998908504157,
0.40510555859657166,
-0.1561534392208339,
0.0026468023417618863,
0.26630454616751786,
-0.37181091697884017,
-0.029580537836861695,
-0.013845030580932005,
0.086408608200701,
0.9631530342970905,
0.09314220419... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | qaoa | {"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": [8, 7], "expectation_value": -0.30405677564269173, "params": [[-0.063, -0.0579, -0.0437], [0.0747, 0.0719, 0.067]], "bitstrings": ["0111", "1000"], "total_optimization_steps": 10, "probabilities": [0.07812706715084677, 0.0864286489093529], "optimization_time": 1.844092607498169} | -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 | 3 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-1.010121423472979) q[0];
h q[1];
ry(0.7853982035792615) q[1];
h q[2];
ry(1.5707956806528132) q[2];
h q[3];
cx q[3], q[1];
ry(-0.7853982035792615) q[1];
cx q[3], q[1];
ry(0.6154796274137422) q[3];
cx q[1], q[3];
ry(-0.6154796274137422) q[3];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IZIZ",
"IZZI",
"ZZII",
"ZIIZ",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
-0.5,
-0.5,
-0.5,
0.75,
-0.5,
0.5,
-0.25,
0,
-0.25
] | 0.888889 | [
1.5707956806528132,
1.570796407158523,
1.2309592548274844,
-2.020242846945958,
0.5024058852687302,
-1.1213498565529063,
1.0683905653844339,
6.544803761639136e-7,
-0.07539900701000271,
-0.09494170503749731,
-1.3610082431868337e-7,
0.0949418225997358,
0.07539895788259901,
-4.123984436099256e... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 287 |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [53, 52], "expectation_value": -2.543568773503321, "params": [0.40650000000000003, -0.0015, 0.4001, 0.0034000000000000002, -0.004, 0.22080000000000002, 0.3921, 0.0111, -0.008, 0.1874, 0.39080000000000004, 0.08410000000000001, 0.39890000000000003, -0.0009000000000000001, 0.4073, -0.0009000000000000001, -0.000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 3 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
e877d3b2f9804d2377a79bff7b887b67 | 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": 8, "source": 0, "t... | {"states": [118, 110], "expectation_value": -29.62344284122343, "params": [[-0.0383, -0.006, 0.0029000000000000002, 0.0137], [0.07300000000000001, 0.0695, 0.0692, 0.062]], "bitstrings": ["10001001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.021144555844544437, 0.02332617321522402], "optimization_... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(3) + 1.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.017981262724299375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.017981262724299375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.017981262724299375) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.017981262724299375) q[3];
cx 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
8.5,
12,
7,
1,
13,
16.5,
7.5
] | 0.970765 | [
0.017981262724299375,
1.212573707341711,
-1.1550771248156908,
1.124609087092233,
-1.1078500346923374,
1.1151316255952932,
0.7676345067154235,
1.0291231689972888,
-1.2517005821613711,
-0.5279065003893286,
0.022474379738371658,
0.4465780795699846,
-0.8665322393723809,
0.03468356842517979,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -64,
"target_ratio": 0.97,
"target_value": -62.08
} | 63 |
80a46f0a5cedb0a8ae3935f071dccc0f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [509, 1020], "expectation_value": -13.51645263592028, "params": [[[-1.5689000000000002, 1.5844], [0.0035, 1.5635000000000001], [-0.0015, -0.0013000000000000002], [-0.0024000000000000002, 0.0178], [0.002, -0.0023], [-0.0029000000000000002, -0.002], [-0.0032, -0.0029000000000000002], [-0.003, -0.00290000000000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * Z(2) + 0.5 * Z(0) + 0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000011"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-2.9463874993168324) q[0];
ry(0.09036715280856959) q[1];
ry(0.03222042120677219) q[2];
ry(0.03419278737119651) q[3];
ry(0.06000457881310164) q[4];
ry(0.003955330607900206) q[5];
ry(-0.0732185548573335) q[6];
ry(0.046797304093659564) q[7];
ry(-0.7910257633489606) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
-1.5,
-1.5,
0.5,
-2.5,
1,
-2.5,
0.5,
-2,
0.5,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.973753 | [
-2.9463874993168324,
0.09036715280856959,
0.03222042120677219,
0.03419278737119651,
0.06000457881310164,
0.003955330607900206,
-0.0732185548573335,
0.046797304093659564,
-0.7910257633489606,
0.00324580985086588,
0.05623242630904905,
3.238880173232868,
-0.03614236294332217,
-0.0945021358566... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 134 |
7785e3e7ad6fcc746d4b86c67fd57c41 | 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": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [32, 37], "expectation_value": -6.7499846294977495, "params": null, "bitstrings": ["1011111", "1011010"], "total_optimization_steps": 22, "probabilities": [0.13524994988448263, 0.7500017798526092], "optimization_time": 19.121500492095947} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.4770183040301989) q[0];
h q[1];
ry(1.5600588358649419) q[1];
rz(-pi) q[2];
ry(-0.049828445060759584) q[2];
cx q[1], q[2];
ry(0.39130269635166626) q[2];
cx q[1], q[2];
ry(-0.009441086677882307) q[1];
ry(0.17246191439933098) q[2];
h q[3];
ry(-1.1835966050189... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
1.25,
-1.25,
0.25,
-0.25,
1.5,
2.25,
-2.5,
-1.25,
0
] | 0.971442 | [
-1.1835966050189877,
-1.9623389505959945,
-0.3056669926877728,
0.6498635111692677,
1.5600588358649419,
-0.9540366080603978,
-1.22932207550399,
-0.7826053927033325,
-0.5557969344496055,
-0.018882173355764614,
0.4002954472560074,
1.22108309746494,
0.34492382879866196,
1.3682006687738621,
0... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 72 |
cf63e2458a0741acd2ef8c128602eb3a | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [11, 67], "expectation_value": -4.996515541748847, "params": null, "bitstrings": ["1110100", "0111100"], "total_optimization_steps": 24, "probabilities": [0.06700896507643245, 0.9297460583131163], "optimization_time": 26.49716281890869} | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1100110", "0111100", "0111001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3269969770889281) q[0];
rz(-0.5504036056506698) q[0];
rx(0.35954196878096667) q[1];
rz(-0.012404751640308812) q[1];
cx q[1], q[0];
rz(0.228453187285069) q[0];
cx q[1], q[0];
rz(1.5964531905415136) q[0];
ry(0.9908209005626359) q[0];
rz(-1.7445090548379003) q[0];
rx... | 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[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", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIZIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-1,
-1.5,
-0.5,
0
] | 0.972321 | [
0.3269969770889281,
-0.3219504183656007,
0.35954196878096667,
-0.012404751640308812,
0.23307960273110617,
-0.08636312566796234,
0.42336248146771394,
0.3708386300171518,
0.1622252850494044,
-0.21764395063298858,
0.219072816073935,
0.017256355300506152,
0.01842232375394045,
0.122346478424125... | {
"n_parameters": 187,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 33 |
1909115557766259076 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 3, 6], [0, 3, 4, 5, 6], [0, 2, 5, 6], [1, 4], [0, 1]]} | {"states": [85, 93], "expectation_value": -1.613746472076448, "params": null, "bitstrings": ["0101010", "0100010"], "total_optimization_steps": 39, "probabilities": [0.10864596978185331, 0.8194020951567323], "optimization_time": 49.00988578796387} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(3)) + 0.1333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6166666666666667, "smallest_bitstrings": ["0100010"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4966477432310341) q[0];
h q[1];
ry(-0.25528873851790745) q[1];
h q[2];
ry(0.24326890696840286) q[2];
ry(-1.8646346338841813) q[3];
rz(-pi) q[3];
h q[4];
cx q[4], q[1];
ry(0.25528873851790745) q[1];
cx q[4], q[1];
ry(-0.21900450241666977) q[1];
cx q[0], q[1]... | 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(1.2599) 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", "... | [
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIIZIII",
"IIIIZIZ",
"IIIIIZZ",
"IIIZIIZ",
"ZIIIIIZ",
"IIZIIZI",
"IIZZIII",
"ZIZIIII",
"IIZIIIZ",
"IZIIZII",
"IZIZIII",
"ZZIIIII",
"IZIIIIZ",
"IZZIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIZ... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.13333333333333333,
0.08333333333333333,
0.5,
0.05,
0.13333333333333333,
0.5,
0.05,
0.05,
0.05,
0.08333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.05,
0... | 0.971563 | [
1.2586729570479458,
-0.5105774770358149,
1.4966477432310341,
-0.43800900483333954,
0.9752039569532007,
-0.3672792248522778,
0.2564469457247138,
0.38842250397376477,
-0.23532771832097277,
0.48653781393680573,
-0.5235982392617494,
0.5347192837125103,
-0.6546227597084581,
0.3504696852600821,
... | {
"n_parameters": 34,
"n_qubits": 7,
"optimal_eigenvalue": -1.6999999999999997,
"target_ratio": 0.97,
"target_value": -1.6489999999999998
} | 6 |
4f469c7e46eb2af0afcc0adf37eb51e5 | 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": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [57, 25], "expectation_value": -2.856322274415921, "params": [0.0021000000000000003, 0.298, 0.0029000000000000002, 0.2997, 0.2364, 0.2359, 0.2401, 0.21380000000000002, 0.5021, 0.0059, 0.4995, 0.0071, 0.4466, -0.031100000000000003, 0.449, 0.0013000000000000002, 0.0021000000000000003, 0.28700000000000003, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(0) + -0.25 * Z(1) + -0.5 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -0.25 * Z(6) | 7 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100110", "0110110", "1001011", "1001110", "1000111"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.13519507647866041) q[0];
rz(0.4924009479507401) q[0];
rx(0.16373915963107033) q[1];
rz(0.41441728769518293) q[1];
cx q[1], q[0];
rz(-0.014723938595193345) q[0];
cx q[1], q[0];
rz(1.9582635450285224) q[0];
ry(0.32867241233668903) q[0];
rz(-0.7527985942567366) 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZZIII",
"IIIZIZI",
"ZIIIIZI",
"ZIIZIII",
"ZIIZIZI",
"IZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.25
] | 0.976272 | [
-0.13519507647866041,
0.4776770093555464,
0.16373915963107033,
0.41441728769518293,
0.43601319183243553,
-0.12860327045122943,
0.47520601648481586,
-0.26613985523639705,
0.2679778928608566,
0.1284597429982901,
0.2853870015203992,
0.424354020900077,
-0.032097764887675774,
0.0294478771903866... | {
"n_parameters": 98,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 7 |
c62624d83c69449427f98082791e1151 | 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": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, {"sour... | {"states": [41, 169], "expectation_value": -3.640776980118839, "params": [0.7356, 0.051000000000000004, 0.734, 0.0055000000000000005, 0.8077000000000001, 0.0081, 0.8114, 0.0022, 0.7555000000000001, -0.055600000000000004, 0.753, 0.0077, 0.8583000000000001, -0.0045000000000000005, 0.859, 0.0017000000000000001, 0.70090000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * Z(6) + -1.0 * Z(0) + -1.0 * Z(7) + -1.0 * Z(8) + ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -4.5, "smallest_bitstrings": ["110010110", "001100111", "001010111", "101010110", "010010111", "101100101", "010100111", "110100110", "110100101", "101100110"], "largest_e... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.08573122680133846) q[0];
rz(0.1137958316105987) q[0];
rx(2.096897849877101) q[1];
rz(-0.1960123210661587) q[1];
cx q[1], q[0];
rz(0.1325917220698743) q[0];
cx q[1], q[0];
rx(0.047052184070295586) q[0];
rz(0.14297024992024235) q[0];
rx(0.9634499984152478) q[1];
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": []} | [
"IIZIIIIIZ",
"IZIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIZIIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IZIIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-1,
-1,
-0.5,
0,
-1,
-0.5,
0
] | 0.974939 | [
0.08573122680133846,
0.2463875536804729,
2.096897849877101,
-0.1960123210661587,
0.30349118662250535,
-0.21486412690975765,
1.3498113470457187,
-0.1378144001867928,
-0.18829673424197818,
-0.8148571836283469,
1.0277743103313963,
0.041333680746969984,
-0.04297329996896557,
0.0725173158364320... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 34 |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [152, 153], "expectation_value": -2.9047602657837923, "params": [3.1437, 0.0005, -0.0026000000000000003, 0.0053, -0.0024000000000000002, 0.0034000000000000002, 3.1438, 0.0049, 3.1445000000000003, 0.004200000000000001, 0.0027, 0.0082, -0.020300000000000002, 0.0068000000000000005, -1.6308, 0.0067, 0.0042000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(6) @ Z(0) @ Z(3)) + -0.125 * (Z(4) @ Z(6) @ Z(0)) + -0.125 * (Z(4)... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["10100110", "10100101", "01100110", "01101001", "10101001", "01101010"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09219022397749128) q[0];
cx q[1], q[0];
rz(-1.2871422316693653) q[0];
rx(0.10379619859919222) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.09219022397749128) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.09219022397749128) q[2];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIZZIIII",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IZIZIIII",
"IIIZZIIZ",
"IZIIZIIZ",
"IZIZIIIZ",
"IZIZZIII",
"IZIZZIIZ",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"ZIZIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
-0.25,
-1,
-0.125,
-0.125,
-0.25,
-0.125,
-0.25
] | 0.979572 | [
0.09219022397749128,
0.8982429000207126,
-1.2871422316693646,
0.24599877936251585,
-0.9798884543189016,
0.6694199466030656,
0.8683968766675187,
-0.3547308698519625,
0.9369223338993231,
0.10379619859919209,
-0.08770470281201148,
0.5841101200094906,
-0.6227792457430795,
1.1403942607354456,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 37 |
58fa04385078dcdc0b5f9361c481400a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [207, 199], "expectation_value": -1.308780918298839, "params": [0.5886, 0.0432, 0.6771, 0.1405, 0.0911, 0.3008, 0.09040000000000001, 0.30510000000000004, 0.36860000000000004, 0.3184, 0.5951000000000001, 0.006500000000000001, 0.6637000000000001, -0.0969, 0.6454000000000001, 0.0029000000000000002, 0.5807, 0.01... | 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(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 18 | 8 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZIIZIIZ",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZI",
"ZZIZIIII",
"ZZIZIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0,
0.125,
0,
0.125,
0.125
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
2811d61d5f2af44ed340d40c20ed9351 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [19, 26], "expectation_value": -0.7854157215831217, "params": [[0.0733, 0.078], [-0.0553, -0.0651]], "bitstrings": ["1101100", "1100101"], "total_optimization_steps": 10, "probabilities": [0.010859911832200876, 0.011243150640920827], "optimization_time": 3.1052072048187256} | 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 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1101100", "1111000", "1110001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.008865039116866) q[0];
rz(0.046061827352180805) q[0];
ry(-0.1178852825250914) q[1];
rz(0.27829789344262645) q[1];
cz q[1], q[0];
ry(0.7395785684145371) q[0];
rz(0.25930506959302635) q[0];
ry(1.8785794145123382) q[1];
ry(-0.013192767967563551) q[2];
rz(-0.168361338... | 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[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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIZI",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.97575 | [
1.008865039116866,
0.046061827352180805,
-0.1178852825250914,
0.27829789344262645,
-0.013192767967563551,
-0.16836133853821558,
0.7624316037340955,
-0.08143741373555383,
0.0010459890769583327,
-0.22073670180141544,
0.6737350169334692,
0.06213864785606113,
-0.11555027206492512,
0.0518644535... | {
"n_parameters": 117,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 91 |
da6f888553e0928bf84cb7c24eceee80 | 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": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [190, 63], "expectation_value": -7.184502088555178, "params": null, "bitstrings": ["01000001", "11000000"], "total_optimization_steps": 56, "probabilities": [0.06538550728154405, 0.9345603366229585], "optimization_time": 62.63357353210449} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5177659963294788) q[0];
h q[1];
ry(-1.623404303532015) q[1];
h q[2];
ry(0.8202589649851039) q[2];
h q[3];
ry(0.7033685518814555) q[3];
h q[4];
ry(1.4889805032669121) q[4];
cx q[4], q[2];
ry(-0.8202589649851039) q[2];
cx q[4], q[2];
h q[5];
ry(0.84460063831... | 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[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... | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZZIIIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.5,
-0.75,
0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
1,
-0.25,
-1.75,
1,
1.5,
-1.25,
-0.5,
0.25
] | 0.981536 | [
-1.623404303532015,
1.4889805032669121,
1.6405179299702077,
1.6168070806158488,
1.6892012766269737,
-1.0355319926589577,
1.0456182257691826,
1.406737103762911,
-0.7251973209355899,
0.22124766737700627,
-0.30348133941167,
0.18132166678998246,
-0.02893660445447417,
-0.06715041824588869,
0.... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
d0689a6dbeb7a066dbec17f8f325db83 | 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": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [0, 1], "expectation_value": -4.845334286173559, "params": [[[0.0011, 0.262], [0.0027, 0.6028], [0.0025, 0.6125], [0.0023, 0.6095], [0.609, -0.0053], [0.602, 0.0], [0.7999, 0.0036000000000000003]], [[0.0043, 0.005200000000000001], [0.0027, 0.006500000000000001], [0.0025, 0.00030000000000000003], [0.0023, 0.0... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111000", "1111110", "1111010", "1111100"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06898382804863952) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9136619903538868) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.5171590410598331) q[3];
cx q[0], q[3];
rz(0.5171590410598332) q[3];
rx(1.1733415603473807) q[3];
h ... | 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": []} | [
"IIIIZIZ",
"IIIZIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.75,
1.5,
-0.25,
-1,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
-1,
1,
0.75
] | 0.592362 | [
0.06898382804863952,
0.5171590410598331,
-0.8546453602015381,
0.9136619903538868,
0.22139306930217686,
1.2118619337300773,
-1.3839135840822527,
-1.3195322834720893,
1.1733415603473807
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 208 |
59c7593c47cfd4ca2ab0ec4e9d99b357 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [0, 127], "expectation_value": -4.205475412921601, "params": [[-0.051800000000000006, -0.0388, -0.021400000000000002, 0.08], [0.0751, 0.0653, 0.056400000000000006, -0.0358]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.015521324491351577, 0.016306352646179995],... | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(1) @ Z(7)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -2.75 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.02620253547107228) q[0];
ry(-0.046454609884771736) q[1];
ry(0.13813538501529748) q[2];
ry(0.07593442227315245) q[3];
ry(-0.06482190271250693) q[4];
ry(-0.20367417839896976) q[5];
ry(-0.05949869706339718) q[6];
ry(2.1939800684657462) q[7];
cx q[7], q[0];
cx q[6], 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": 7} | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"ZZIIIIII",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"IIIZIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZIZII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IZZIIIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIII... | [
-1,
-1,
1.25,
-1.25,
-1.5,
-2,
-1.5,
-0.5,
-0.5,
-2.75,
-1.75,
-1.25,
-1,
-0.25,
-1.5,
-0.75,
-0.25,
-1.5,
2.25,
-0.25,
-2.5,
0.25,
-2.5,
1,
0.75,
1
] | 0.97191 | [
-0.02620253547107228,
-0.046454609884771736,
0.13813538501529748,
0.07593442227315245,
-0.06482190271250693,
-0.20367417839896976,
-0.05949869706339718,
2.1939800684657462,
-0.12204536131059038,
0.030467583248756303,
-0.01728564726399001,
0.01041494868003607,
-0.03776129506921314,
-0.10559... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 47 |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [61, 93], "expectation_value": -3.1570796975267292, "params": null, "bitstrings": ["11000010", "10100010"], "total_optimization_steps": 55, "probabilities": [0.07330224985660826, 0.7568195485491375], "optimization_time": 139.15215182304382} | 0.5 * (Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5625, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 5.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(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(-1.4868) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIIZIZZ",
"IIIZIIZZ",
"IIZIIIZZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIIZZIZI",
"IIZIZIZI",
"IIZZIIZI",
"IIZZZIII",
"IIIZZIZZ",
"IIZIZIZ... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.5,
... | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
416a6399d97d76097b004d7d10dbde6a | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [3, 15], "expectation_value": -10.000081451777167, "params": null, "bitstrings": ["11111100", "11110000"], "total_optimization_steps": 37, "probabilities": [0.18748173671670215, 0.5625385282288473], "optimization_time": 38.52861189842224} | -1.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -2.0 * Z(3) + -2.0 * Z(0) + -2.0 * Z(1) + -2.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.3778169539952191) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.576119621770899) q[1];
h q[2];
ry(-1.576119621770899) q[2];
h q[3];
ry(-1.576119621770899) q[3];
h q[4];
ry(1.5265389766159974) q[4];
h q[5];
cx q[5], q[4];
ry(-1.5265389766159974) q[4];
cx q[5], q[4];
ry(1.23700... | null | {"node": 1} | {"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... | [
"IIIIZIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZZIIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.98398 | [
-1.576119621770899,
-1.329161774565714,
3.0530779532319947,
2.4740187925814605,
-1.3132142771685877,
0.27236480353207315,
-1.3914690290295386,
-0.3741992409367136,
-0.30261720091984434
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 35 |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.2720219731347546, "params": [0.8052, 0.0057, 0.0028, -0.4058, 0.0025, 0.5595, 0.0018000000000000002, -0.5349, 0.8097000000000001, 0.0034000000000000002, 0.0028, 0.0037, 0.0025, 0.0014, 0.0018000000000000002, 0.0047, 0.5374, 0.001, 0.40750000000000003, -0.5375, 0.00580000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 18 | 4 | 2 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | 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": []} | [
"IZZI",
"IIZZ",
"IZIZ",
"IZZZ",
"ZIIZ",
"IIZI",
"IZII",
"IIIZ",
"ZIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
-0.25,
-1
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
c0497b20d0e680cacc77174a13e8b8b4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [246, 118], "expectation_value": -60.77250361197841, "params": [0.5108, -0.2419, 0.992, 0.0079, 0.9899, 0.0008, 0.9926, 0.084, 0.5309, 0.2571, 0.9981000000000001, -0.0079, 0.9961000000000001, 0.1766, 0.17220000000000002, 0.4037, 0.5167, -0.2464, 0.9978, 0.0142, 0.9954000000000001, 0.0024000000000000002, 0.99... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 20.5 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | 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", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
20.5,
7,
12.5,
6,
9.5,
14,
17,
1
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [6, 9], "expectation_value": -0.15221638592799827, "params": [[-0.0375, -0.0412, -0.0455, -0.0434], [0.0506, 0.044500000000000005, 0.051800000000000006, 0.051800000000000006]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.08276654567746805, 0.08276654567746805], "optimi... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | 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[0], q[2];
rz(x0) q[2... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
18312d59afcaa473ce6d4f831ea41fc6 | 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}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [127, 2047], "expectation_value": -1.327300335221502, "params": [[0.0747], [-0.059000000000000004]], "bitstrings": ["11110000000", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0008717892007815067, 0.0008946077862035548], "optimization_time": 2.422053813934326} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7644639268250785) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.07588315846543227) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.7644639268250785) q[1];
cx q[2], q[1];
rz(-0.43871430403190725) q[2];
rx(-1.0294... | 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[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];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIZIII... | [
-2,
0.5,
-1.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-2,
-2,
-2,
1,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.606139 | [
-0.7644639268250785,
-0.07588315846543227,
-1.1341848658679192,
-0.43871430403190737,
-1.060187901259127,
-1.0294517932819627
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 162 |
feaf30b79c91a036f216c182772bdb1d | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, {"sour... | {"states": [60, 252], "expectation_value": -11.269149988230225, "params": [[[-0.0028, 0.0089], [1.4787000000000001, 0.0007], [-0.0022, 0.0076], [-0.002, 0.0095], [-0.0019, 0.0], [1.6998, 0.0046], [-0.0018000000000000002, 0.0018000000000000002], [-0.0041, 0.008700000000000001]]], "bitstrings": ["11000011", "00000011"], ... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.0 * Z(7) + -1.0 * Z(6) | 2 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.6880001825840584) q[0];
h q[1];
cx q[1], q[0];
ry(-0.6880001825840584) q[0];
cx q[1], q[0];
ry(0.5494202574096909) q[1];
cx q[0], q[1];
ry(-0.5494202574096909) q[1];
cx q[0], q[1];
h q[2];
ry(0.011133946782301766) q[2];
h q[3];
ry(1.9661753510022562) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1,
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.964834 | [
0.02226789356460353,
2.8818319024337766,
-0.8942463794901929,
3.178663541717695,
3.9323507020045123,
-1.257886419085656,
-1.5772014760986535,
1.3760003651681167,
1.0988405148193818,
-1.1868547387115274,
-0.9947629393548405,
-0.056348868541210614,
-0.02223055365976749,
-0.33130717160864015,... | {
"n_parameters": 35,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 500 |
3d48be966ec63d77ff020a1223ab7d08 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [1, 33], "expectation_value": -12.045247806135277, "params": [0.0029000000000000002, 1.2281, 0.0029000000000000002, 1.3229, 0.0026000000000000003, 1.2723, 0.8302, -0.0081, 0.0027, 1.2969000000000002, -0.010700000000000001, 1.2081, 0.0027, 1.3065, 0.003, 1.3237, 1.5706, -0.0032, 0.0029000000000000002, -0.0411... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + 2.25 * (Z(8) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(6) @ Z... | 4 | 9 | 2 | {"smallest_eigenvalues": [-12.5, -12.5, -12.5, -12.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -11.5, "smallest_bitstrings": ["111011110", "111010110", "101011110", "101010110"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.012254983271288555) q[0];
rz(2.8113188693117834) q[0];
rx(-0.012254983271288556) q[1];
rz(2.9440478202374276) q[1];
rx(-0.02209645444609827) q[2];
rz(2.70467411041005) q[2];
rx(0.9378896369973658) q[3];
rz(1.617640596306857) q[3];
rx(-0.04554104132355155) q[4];
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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIIZIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZIIZIII",
"IIIZIIZII",
"IIIZZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"... | [
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
-1,
2.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-1.25,
-0.25,
-0.75,
0.75,
-0.25,
-2,
-1,
0.75,
0.75,
1.5,
-1.5,
1
] | 0.970825 | [
-0.012254983271288555,
1.2405225425168875,
1.3732514934425306,
-0.02209645444609827,
1.1338777836151521,
0.9378896369973659,
0.046844269511960274,
-0.04554104132355155,
1.4046149511810124,
0.01677975110401399,
1.1944556000262676,
1.3057849448687786,
-0.02735154360095176,
1.3493420455931076... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 2 |
9654c545357abbe9e95dba48af827af6 | 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}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 19, ... | {"states": [214, 118], "expectation_value": -15.791544673141255, "params": [[0.0478, 0.009000000000000001], [-0.0787, -0.0489]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011450411501235817, 0.012510704427173999], "optimization_time": 2.838926076889038} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.0 * Z(0) + 10.5 * Z(2) + 13.5 * Z(5) + 1... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 132.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0011522340551590252) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0011522340551590252) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0011522340551590252) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.0011522340551590252) q[3];
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] 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IIIIZIIZ",
"IIZIZIII",
"IIIZIIZI",
"IIZZIIII",
"IIIZZIII",
"IZIIIIZI",
"IZIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
8,
10.5,
13.5,
14,
11,
10.5,
-0.5
] | 0.9701 | [
-0.0011522340551590252,
1.4198778051373766,
-1.6914893495550405,
1.497053830930895,
1.7292200745702024,
1.183563834745271,
-0.8896798042232335,
-1.5810176557276576,
-1.2564221794225994,
0.11584926322863424,
0.9377064387781754,
-0.8309733378014517,
0.20908203985992,
0.1567296409660722,
0.... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -63.5,
"target_ratio": 0.97,
"target_value": -61.595
} | 48 |
9d1382902993d8e771af3489e0021226 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [36, 25], "expectation_value": -0.6319733601828863, "params": [[0.040400000000000005, 0.0649, 0.08080000000000001], [-0.0009000000000000001, -0.0388, -0.0664]], "bitstrings": ["011011", "100110"], "total_optimization_steps": 10, "probabilities": [0.02223221115706916, 0.023985768039598822], "optimization_time... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | 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": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1,
-1,
-1
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
-0.04534139745877805,
0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
100d4b419d8da1535c186f77ffcb30e8 | 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": -53.19801140965906, "params": [[[0.512, 0.1134], [0.0678, 0.16010000000000002], [0.5971000000000001, 0.2596], [0.1723, 0.318], [0.18180000000000002, 0.5932000000000001], [0.2581, 0.3315], [0.1438, 0.6034], [0.5971000000000001, 0.5974], [0.4161, 0.1444]], [[0.6004, 0.159100000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(8) @ Z(3)) + 5.5 * Z(0) + 7.5 * Z(1) + 21.0 * Z(2) + 6.5 * Z(3) + 14.5 * Z(4) + 3.5 * Z(6) ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["010100110"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.7696939129738952) q[0];
ry(0.5548312409417336) q[1];
ry(0.4665934893217446) q[2];
ry(0.015925264983345087) q[3];
ry(0.3940395967314559) q[4];
ry(-0.10537755285551362) q[5];
ry(0.13365733830920692) q[6];
ry(0.4665934893217446) q[7];
ry(0.06460319421955536) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIIIIZ",
"ZIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
5.5,
7.5,
21,
6.5,
14.5,
3.5,
14.5,
-3.5,
0.5
] | 0.971456 | [
0.7696939129738952,
0.5548312409417336,
0.4665934893217446,
0.015925264983345087,
0.3940395967314559,
-0.10537755285551362,
0.13365733830920692,
0.06460319421955536,
-0.053599660869413764,
-0.023257838441696606,
-0.32033192720886494,
-0.02435529570801398,
0.5825692944786037,
0.097427727417... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 107 |
87108f1cd6bfa60484f137381a2192df | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 2, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [94, 90], "expectation_value": -2.6489482210501367, "params": [[[0.0034000000000000002, 0.3572], [0.6024, -0.0023], [0.0038, 0.3266], [0.5959, -0.0037], [0.5983, 0.0038], [0.4939, 0.0562], [0.6028, -0.0041], [0.15810000000000002, -0.229]], [[0.0018000000000000002, 0.3049], [0.6037, -0.0023], [0.0011, 0.4179]... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10100101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.9697131974241575) q[0];
ry(0.05888968110691694) q[0];
rz(-1.0037894672163898) q[0];
rz(0.020916149148606067) q[1];
ry(3.0382410651842022) q[1];
rz(-2.7548375394587756) q[1];
rz(2.063915284018785) q[2];
ry(0.269786882807767) q[2];
rz(-1.6220944495155742) q[2];
rz(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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IZZZIIII",
"ZIIZIIII",
"IIIIZIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZIZIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-1,
-0.25,
-0.25,
-1,
-0.25,
0,
-0.25,
-0.5
] | 0.977343 | [
0.07835609481940209,
-0.0026589220841909365,
0.7662145488826894,
-0.0617419322452836,
0.08758463247589594,
0.06577401646409535,
0.9202047815377251,
0.02323854940858535,
1.2455812088392397,
0.1979889208325247,
-0.30334117429667296,
1.0250239342825789,
-0.04959618616998337,
0.136744549408747... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 17 |
5fc8ddd9b490928efab5d46a7fda09a4 | 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": 7, "source": 0, "t... | {"states": [206, 110], "expectation_value": -24.633788108195034, "params": [[0.0236, 0.009300000000000001, -0.0004, 0.0028], [-0.0757, -0.0799, -0.06280000000000001, -0.0509]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01812111605112541, 0.020444414016226556], "optimiza... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 3.5 * Z(0) + 6.0 * Z(2) + 18.0 * Z(1) + 8.0 * Z(3) + 5.5 * Z(5) + 18.0 * Z(4) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-6.126449322559573e-06) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-6.126449322559573e-06) q[1];
cx q[0], q[1];
rz(-1.5709207139058865) q[0];
rx(-1.5706906646278838) q[0];
cx q[2], q[1];
rz(-6.126449322559573e-06) q[1];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
3.5,
6,
18,
8,
5.5,
18,
6,
5.5
] | 0.932203 | [
-0.000006126449322559573,
-1.570920713905886,
1.5709272473636124,
1.570710396024967,
1.5708714554051209,
-1.5707452903609194,
-1.570690664627884,
0.33096783508676,
0.06537739502227977,
-0.2576869562513256,
0.3995909898567742,
-0.2921438586432958,
0.06719963066271914,
-0.0002287731424465783... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 500 |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [59227, 59355], "expectation_value": -17.101486318113, "params": [0.5275000000000001, 0.5282, 0.2967, 0.3005, 0.5389, 0.5386000000000001, 0.1908, 0.1822, 0.19590000000000002, 0.1951, 0.5324, 0.5319, 0.2891, 0.2901, 0.5456, 0.5422, 0.2775, 0.27080000000000004, 0.5343, 0.5294, 0.249, 0.24480000000000002, 0.535... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 13 | 16 | 3 | {"smallest_eigenvalues": [-20.500000000000053], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999986, "smallest_bitstrings": ["0001100000100100"], "largest_eigenvalue": 69.50000000000021} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZZIIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
9bb7c8f4c259342949cf44cd598c318f | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [133, 389], "expectation_value": -4.944709937487379, "params": [[0.1895, 1.5814000000000001, -0.0098, -0.0024000000000000002, -0.0017000000000000001, 0.0035, 1.5845, 0.3673, 1.5809], [1.6111, 1.5853000000000002, 0.318, -0.0025, 0.008, -0.0021000000000000003, 1.5785, 0.0021000000000000003, 1.5793000000000001]... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -1... | 10 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["011100011", "000110111", "000111110", "000111101", "001111010", "001110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.173388565027842) q[0];
ry(1.618148436889309) q[1];
ry(0.07684383438375464) q[2];
ry(-0.18610994369750605) q[3];
ry(-0.1881758930251049) q[4];
ry(-0.10867479151328042) q[5];
ry(1.8989233510546195) q[6];
ry(0.34253653686760965) q[7];
ry(1.6686168960171452) q[8];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIZIIZIII",
"IIZIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
0,
-1,
-1,
-1.5,
-1,
-0.5
] | 0.970767 | [
-0.173388565027842,
1.618148436889309,
0.07684383438375464,
-0.18610994369750605,
-0.1881758930251049,
-0.10867479151328042,
1.8989233510546195,
0.34253653686760965,
1.6686168960171452,
2.555802362499193,
1.4011548295387461,
0.040228907624919374,
0.21846559634892193,
0.15528557638387336,
... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 13 |
9ece332e8f59eea04b865e97d9e6d763 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [19849, 20105], "expectation_value": -11.598652961531725, "params": [[0.082, 0.2179, -0.38170000000000004, -0.43610000000000004], [-0.5087, -0.1592, 0.126, 0.0761]], "bitstrings": ["1011001001110110", "1011000101110110"], "total_optimization_steps": 90, "probabilities": [0.0010018860883299731, 0.001001886088... | -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(12) @ Z(4)) + -0.5 * (Z(12) @ Z(5)) + 0.5 * (Z(0) @ Z(12)) + -1.0 * (Z(13) @ Z(4))... | 1 | 16 | 4 | {"smallest_eigenvalues": [-14.499999999999776], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.49999999999976, "smallest_bitstrings": ["1011000101110110"], "largest_eigenvalue": 54.6666666666669} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(0.07312731208045745) q[0];
rz(-0.08777736992517493) q[0];
rx(3.0978734726879162) q[1];
rz(0.04766515723369347) q[1];
rx(0.005912412743647669) q[2];
rz(0.21803358898234082) q[2];
rx(-0.11229467898881246) q[3];
rz(-0.0031504080667552614) q[3];
rx(2.9755133426008453) 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZIIII",
"IIIIIIIIIIZZIIII",
"IIIIZIIIIIZIIIII",
"IIIIIIIIIZIZIIII",
"IIIIZIIIIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIZIIII",
"IIIIZIIIZIIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIZZIIIIII",
"IIIZIIIIIIIZIIII",
"IIIZIIIIIIZIIIII",
"IIIZIIIIIIIIIIIZ",
"IIZIIIIIIIIZIIII",
"IIZIIII... | [
-0.5,
1,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-1,
-1,
2,
1,
1,
0.8333333333333334,
2,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-1,
0.5,
-1,
-1,
-2,
-2,
1,
1,
-0.5,
-0.5,
-0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-0.... | 0.970243 | [
0.07312731208045745,
-0.08876781587754644,
3.0978734726879162,
0.03485766665255867,
0.00591241274364767,
0.12133260299291658,
-0.1122946789888125,
0.0066519354153288975,
2.9755133426008453,
0.07891070142990152,
3.248903092149418,
-0.13712299428226482,
2.1347123701496904,
1.1379942594290808... | {
"n_parameters": 40,
"n_qubits": 16,
"optimal_eigenvalue": -14.499999999999797,
"target_ratio": 0.97,
"target_value": -14.064999999999802
} | 16 |
589a81c8fd04d28f25b3e8e25563f55c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [124, 127], "expectation_value": -5.241560433872697, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 65, "probabilities": [0.0020220243148332756, 0.9938053867040454], "optimization_time": 65.12812900543213} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5130369850171268) q[0];
h q[1];
ry(0.6921837006580918) q[1];
ry(-2.9297706304665203) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4827454569868557) q[3];
h q[4];
ry(0.7494136005938985) q[4];
h q[5];
ry(0.7413727284934278) q[5];
cx q[3], q[5];
ry(-0.7413727284934278) q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"IZIZIIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
0.25,
-0.5,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
0,
-0.25,
1.25,
-1.25,
-0.5,
1.25
] | 0.987277 | [
1.4827454569868557,
1.3843674013161835,
1.498827201187797,
1.4332589832961582,
-1.0260739700342536,
1.4650064478335973,
-0.45148341590726787,
0.1454629789395838,
0.03571598507532223,
0.17021348520364954,
0.09444752324091105,
-0.05078619528911972,
0.03558495876298554,
0.0021142938081167356,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
26b0c21f43e0914291253fccea754cb4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 21], "expectation_value": -9.449332538501677, "params": null, "bitstrings": ["111110", "101010"], "total_optimization_steps": 37, "probabilities": [0.13103223088624938, 0.7089469748292432], "optimization_time": 25.95556950569153} | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.10907579258365115) q[0];
h q[1];
ry(-0.2103859763398643) q[2];
rz(-pi) q[2];
h q[3];
ry(0.604260278838176) q[3];
cx q[1], q[3];
ry(-0.604260278838176) q[3];
cx q[1], q[3];
ry(1.6522313222015446) q[1];
ry(0.6066552576964641) q[3];
cx q[3], q[1];
ry(0.104131... | null | {"source": 0, "sink": 5} | {"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... | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-2,
-1.5,
-0.75,
-0.25,
1.75,
-0.25,
-2.75,
-0.25,
0.5,
0.5,
0.75,
1.25
] | 0.970516 | [
-0.2181515851673023,
1.265828792876706,
-0.8838791587849417,
1.208520557676352,
1.756362495781696,
0.6066552576964641,
-0.20826234716030267,
0.12761223583215306,
-0.16017964400308954,
-1.111453342572607,
0.024964515180282365,
0.26199644891527213,
-0.4979140157648508,
-0.31833873611701424,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 25 |
7f4c1e2c9bad0a6e0605fae9471bc9cf | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [80, 89], "expectation_value": -6.999934073606576, "params": null, "bitstrings": ["0101111", "0100110"], "total_optimization_steps": 35, "probabilities": [1.3834091991385583e-05, 0.9999481838476324], "optimization_time": 34.39470028877258} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(4) + 0.0 * Z(0) + -2.0 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0100110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.0439732452993793) q[0];
rz(-pi) q[1];
ry(-0.021586519897609995) q[1];
rz(-pi) q[2];
ry(-3.0439732452993793) q[2];
h q[3];
ry(1.5712954840865174) q[3];
h q[4];
ry(-1.5396619496691069) q[4];
h q[5];
ry(-1.5396619496691069) q[5];
rz(-pi) q[6];
ry(-3.051... | 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", ... | [
"IIZIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"ZIZIIII",
"ZIIIIZI",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
0,
-2,
-1,
-1,
-2,
-1
] | 0.993003 | [
-1.5396619496691069,
-1.567621708727845,
1.5712954840865174,
0.17901712585412477,
0.19424050199758652,
0.11763506385417996,
-0.04952227592932356,
0.11380756988679648
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
30e28b56cad01a233ddf0894e9b7eaa8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [13, 50], "expectation_value": -0.4054499508990128, "params": [[0.0678, 0.0661], [-0.0661, -0.0623]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.022166337427573755, 0.022166337427573762], "optimization_time": 2.4232475757598877} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
c... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-1
] | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
3796afa0473620b48d81bea69c86f42d | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, ... | {"states": [58, 60], "expectation_value": -5.999899063456074, "params": null, "bitstrings": ["1000101", "1000011"], "total_optimization_steps": 33, "probabilities": [1.6414457491051694e-05, 0.9999303761353533], "optimization_time": 32.28088140487671} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(2) + -2.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z(5) + -2.0 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1000011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5899352928247497) q[0];
ry(-3.021496863739739) q[1];
rz(-pi) q[1];
ry(-3.034342491071087) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4030680960288997) q[3];
cx q[3], q[1];
ry(-0.10792990784099249) q[1];
cx q[3], q[1];
ry(0.0988631445583654) q[3];
h q[4];
ry(1.342770... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IZIIIZI",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-2,
-0.5,
-1,
-1.5,
-2,
-0.5
] | 0.997951 | [
-1.5899352928247497,
-1.3672257662143292,
1.4030680960288997,
1.34277062910385,
-0.2907847084955473,
0.21585981568198498,
0.32020556690502916,
0.1209561364945819,
0.1977262891167308,
0.1722406381790694,
-0.06752529045448798
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
b2edf981a9c05ff141b468ab5531d2c7 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [11, 35], "expectation_value": -0.2630220608834692, "params": [[-0.0471, -0.0684], [0.050800000000000005, 0.0716]], "bitstrings": ["110100", "011100"], "total_optimization_steps": 10, "probabilities": [0.01967856388778643, 0.01967856388778643], "optimization_time": 2.324580669403076} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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], ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
-5270866512951824941 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2], [8, 2], [0, 4, 5, 6], [0, 4, 7], [2, 3]]} | {"states": [441, 431], "expectation_value": -0.5975773171183827, "params": [[0.3403], [-0.3296]], "bitstrings": ["001000110", "001010000"], "total_optimization_steps": 40, "probabilities": [0.004981877943508974, 0.004992886199590452], "optimization_time": 2.174550771713257} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.0833333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.8333333333333337, "smallest_bitstrings": ["100100001", "001000110", "001010000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.31734116608755053) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.31734116608755053) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3173411660875507) q[1];
rx(-0.8341158060040911) q[1];
rz(0.31734116608755053) q[2];
cx q[0], q[2];
h 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[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],... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIZZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.45833333333333337,
0.1666666666666667... | 0.615368 | [
0.31734116608755053,
1.018736356438018,
0.5628239026501083,
0.13931292949686358,
1.0862714192626126,
-0.18898686695677971,
-0.20734830893217437,
1.1965611072934221,
-0.8341158060040911
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -1.9166666666666667,
"target_ratio": 0.97,
"target_value": -1.8591666666666666
} | 228 |
163a4227bb600344653e9b8f9a095692 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target":... | {"states": [322, 323], "expectation_value": -4.5740734544023605, "params": [[[1.4839, 0.0022], [1.6371, 0.004], [-0.0053, 0.0066], [1.7059, 0.0013000000000000002], [1.5231000000000001, 0.0017000000000000001], [1.4884000000000002, 0.0092], [-0.0029000000000000002, 0.0061], [-0.0024000000000000002, 0.0032], [1.6406, 0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -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": 12, "first_excited_energy": -5.5, "smallest_bitstrings": ["1110101100", "1110001101", "1101101100", "1010111001", "1010011101", "0110001111", "0010111110", "0110101110", "0010011111", "11... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.37118698293588376) q[0];
rz(-0.438291999984223) q[0];
rx(0.13621427254948681) q[1];
rz(0.24076625613865413) q[1];
rx(0.03491116565727964) q[2];
rz(-0.30799165915574434) q[2];
rx(3.187647050653776) q[3];
rz(0.7111329563707884) q[3];
rx(-0.03239059341427276) q[4];
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": []} | [
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIZIZIIII",
"IIZIIZIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZIIIIZIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2,
-2,
-0.5,
-0.5,
0,
0,
-1,
-1
] | 0.970508 | [
0.37118698293588376,
-0.438291999984223,
0.13621427254948681,
0.24076625613865413,
0.03491116565727964,
-0.30799165915574434,
3.187647050653776,
0.7111329563707884,
-0.03239059341427276,
0.7265165776331042,
2.709513674314187,
-0.5120361251152812,
-0.05820770829724409,
0.013004124587049998,... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 18 |
0615486ccb356b09654d7a8dd1e9f354 | 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": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -9.201997931814816, "params": [[[-0.0037, 0.389], [0.0017000000000000001, 0.3851], [0.0005, 0.4464], [0.0025, 0.4595], [0.0036000000000000003, 0.4456], [0.46690000000000004, -0.0054], [0.5979, -0.0026000000000000003]], [[-0.0012000000000000001, 0.3773], [0.0048000000000000004, 0.... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
2be9598749a54d45ae6c968f3644c50e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [7, 1], "expectation_value": -0.0017842301158576684, "params": [[-0.0162], [0.0063]], "bitstrings": ["1000", "1110"], "total_optimization_steps": 10, "probabilities": [0.06258922635438546, 0.0625892263543855], "optimization_time": 1.7971811294555664} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4735206763607496) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01182672083452973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.01182672083452973) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4735206763607496) q[3];
cx q[1], 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;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x1) ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.25,
0.5,
0.25
] | 0.731547 | [
0.4735206763607496,
-0.01182672083452973,
-0.00498214199769815,
-1.582999198203383,
-1.7345000367827936,
1.438980752288773
] | {
"n_parameters": 6,
"n_qubits": 4,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 193 |
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