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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
f975feb577a84d57f4556f4e8a37e959 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "... | {"states": [3968, 4064], "expectation_value": -21.394065665377795, "params": null, "bitstrings": ["000001111111", "000000011111"], "total_optimization_steps": 100, "probabilities": [0.1343158389078288, 0.4049625450159731], "optimization_time": 338.61518239974976} | -2.0 * (Z(0) @ Z(2)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -3.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2... | 1 | 12 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000000011111"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.12207840648320603) q[0];
rz(-0.08828916705328338) q[0];
rx(0.038504915599945955) q[1];
rz(0.34515330330127436) q[1];
rx(0.12207840648320603) q[2];
rz(-0.16458220869207776) q[2];
rx(0.003445997251287341) q[3];
rz(-0.25944294208200674) q[3];
rx(0.41094886730144964) ... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(-1.5708) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIIZIZI",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
-2,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
-2,
1,
-2.5,
0.5,
-1,
-2,
-3,
-2.5,
-2.5,
0.5,
1,
0.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
1,
-2.5,
-2,
-1.5
] | 0.980088 | [
0.12207840648320603,
-0.08828916705328338,
0.038504915599945955,
0.34515330330127436,
-0.16458220869207776,
0.003445997251287341,
-0.25944294208200674,
0.41094886730144964,
0.18456067658726327,
0.05510088901618231,
0.23016917930564504,
3.0348027973689655,
-0.2858277817877409,
0.00369907433... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -29,
"target_ratio": 0.97,
"target_value": -28.13
} | 13 |
-3426734599408399425 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 2, 6], [1, 6, 9], [8, 0, 6, 7], [0, 3, 6], [9, 2, 1], [3, 7], [8, 2, 4, 6], [8, 2, 4, 5], [1, 4, 7], [0, 4, 5, 7], [8, 0, 2, 5], [9, 4, 7], [0, 1, 4, 5], [8, 5, 7], [3, 5], [0, 9, 3], [1, 5, 6, 7], [8, 1, 9]]} | {"states": [701, 669], "expectation_value": -3.515856067857254, "params": [1.3872, 1.3887, 0.7025, 0.7228, 0.8933000000000001, 1.3814, 0.376, 0.3438, 0.8182, 0.7859, 1.3932, 1.3969, 1.3932, 1.3933, 1.3793, 1.3865, 1.3963, 1.3854, 1.3849, 1.3874, 1.0842, 1.3887, 0.077, 0.7508, 0.16490000000000002, 0.9619000000000001, 0.... | 0.25 * (Z(8) @ Z(9)) + 0.25 * (Z(2) @ Z(9)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.25 * (Z(6) @ Z(9)) + 0.25 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.750000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["0101100010"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4748840101805376) q[0];
rz(pi/2) q[0];
ry(0.03412961282034971) q[1];
ry(1.6090474011649931) q[2];
ry(-0.026740391385245206) q[3];
ry(0.3742542933696181) q[4];
ry(1.8551251649634002) q[5];
ry(1.8551251649634002) q[6];
ry(1.6388409914243864) q[7];
ry(1.4007946348746... | 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": []} | [
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"ZIIZIIIIII",
"IZIZIIIIII",
"IIIZIIIZII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIIIIZZI",
"IIIZIIIIZI",
"ZIIIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IIIIIIIIZZ",
"ZIZIIIIIII",
"IZZIIIIIII",
"IIZZIIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ"... | [
0.25,
0.25,
0.3333333333333333,
0.25,
0.25,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.25,
0.16666666666666... | 0.97157 | [
1.4748840101805376,
0.03412961282034971,
1.6090474011649931,
-0.026740391385245206,
0.3742542933696181,
1.8551251649634002,
1.6388409914243864,
1.400794634874666,
1.306779109052429,
1.00429032838729,
0.6431662789270609,
0.8974165466945107,
0.633421825483268,
0.22120680282774077,
1.041733... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -4.750000000000002,
"target_ratio": 0.97,
"target_value": -4.607500000000002
} | 41 |
d62a0f012823c70bafc442cdcec5fdce | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, ... | {"states": [682, 683], "expectation_value": -2.7766389218570326, "params": [[1.2678, 0.0023, 1.0447, 0.0019, 1.0556, -0.0024000000000000002, 1.0362, 0.0456, 1.2726, 0.46690000000000004], [0.7055, 0.0058000000000000005, 1.0508, -0.0152, 1.0405, -0.01, 1.0763, -0.0519, 0.6851, -0.0297], [1.2125000000000001, -0.0047, 1.03... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(8) @ Z(2)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (... | 10 | 10 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.3125, "smallest_bitstrings": ["1001001100", "1000101100", "0100110100", "1101000010", "0101010100", "1100100100", "1001001010", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.3105151204328884) q[0];
ry(0.08089727571045902) q[1];
ry(0.9048574364107069) q[2];
ry(0.08809864031115719) q[3];
ry(0.7348749209376406) q[4];
ry(0.12917653925179115) q[5];
ry(1.1147073547551456) q[6];
ry(0.13401713527225573) q[7];
ry(1.4240180832510525) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIZIIIIZI",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII",
"IZZIIIIZII",
"IIZIIIZIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"ZIZIIIZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIZZIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,... | 0.974049 | [
1.3105151204328884,
0.08089727571045902,
0.9048574364107069,
0.08809864031115719,
0.7348749209376406,
0.12917653925179115,
1.1147073547551456,
0.13401713527225573,
1.4240180832510525,
0.47521261077332716,
0.12263374629771834,
-0.058491515961990814,
1.4353321377390982,
-0.09199937117922938,... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 22 |
885b7cb19eefd0e369320e350d8663d4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [674, 684], "expectation_value": -48.73643449971569, "params": [[[1.5170000000000001, 0.6218], [0.1501, 0.6138], [1.5737, 1.5636], [1.1527, 1.5651000000000002], [1.5739, 1.5675000000000001], [-1.5750000000000002, 1.3333000000000002], [1.5676, -0.029300000000000003], [1.5741, 0.1845], [-1.5691000000000002, 1.... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(2) @ Z(4)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(6) @ Z(7)) + -2.5 * Z(1) + 1.0 * Z(0) + 14.0 * Z(4) + 2.5 * Z(3) + 5.5 * Z(2) + 9.5 * Z(8) + 7.5 * Z(7) + 6.5 * Z(6) + -13.5 * Z(5) + -12.5 * Z(9) | 15 | 10 | 1 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["0101010011"], "largest_eigenvalue": 133.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.602706073359994) q[0];
ry(1.438206949299278) q[1];
ry(1.5750282475129211) q[2];
ry(1.6060303524501092) q[3];
ry(1.4973537187297663) q[4];
ry(-1.5589003207587462) q[5];
ry(1.434579155045707) q[6];
ry(1.4841888561045453) q[7];
ry(-1.5790917593308997) q[8];
ry(1.5988... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIIIZZII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"IIZZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"ZIIIIIIIII"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-2.5,
1,
14,
2.5,
5.5,
9.5,
7.5,
6.5,
-13.5,
-12.5
] | 0.970954 | [
1.602706073359994,
1.438206949299278,
1.5750282475129211,
1.6060303524501092,
1.4973537187297663,
-1.5589003207587462,
1.434579155045707,
1.4841888561045453,
-1.5790917593308997,
1.5988850815009552,
1.60501038188182,
1.5792014610178766,
1.6563507565778095,
1.591833112171194,
1.4068178361... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 48 |
9c58c5b77a3170e613a26f379fffeef6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [119, 118], "expectation_value": -72.16630322639446, "params": [0.082, 0.4617, 0.7701, 0.002, 0.7871, 0.009300000000000001, 0.915, -0.12100000000000001, 0.039400000000000004, -0.4575, 0.7703, 0.00030000000000000003, 0.8231, 0.0246, 0.33740000000000003, 0.3664, 0.0821, 0.4485, 0.7969, 0.0004, 0.785, 0.0077, 0... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) 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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
13.5,
5,
16.5,
19.5,
4.5,
17,
14.5,
11.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
e2d42d54466cad0e47a576fec07e2be9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -27.074209121470126, "params": [[-0.0388, -0.0079, 0.0106, 0.008700000000000001], [0.0603, 0.055600000000000004, 0.051300000000000005, 0.0543]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.015031252985882097, 0.01736137770241951... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.0 * Z(1) + 4.0 * Z(0) + 7.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.9780527284148871) q[0];
rz(-0.32148690663209895) q[0];
ry(-0.7892727298300091) q[1];
rz(0.1975676236284789) q[1];
cx q[1], q[0];
ry(0.8962891467746957) q[0];
rz(0.052798159012349036) q[0];
ry(0.5058660408624864) q[1];
rz(-0.3978263625905253) q[1];
ry(-0.31629941256... | 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",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17,
4,
7.5,
22,
4.5,
11,
11.5,
15
] | 0.970089 | [
0.9780527284148871,
-0.32148690663209895,
-0.7892727298300091,
0.1975676236284789,
-0.3162994125644556,
-0.3927838541721411,
0.07591008131711265,
0.010362765644280701,
-0.004177353980553352,
-0.014282973755614476,
-0.006464029793591477,
-0.7218823444991684,
-0.3051057789958777,
-0.12106482... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 69 |
621c775e3dd2297f9f74eee0214c8452 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [38, 46], "expectation_value": -3.5466032393243427, "params": [[[0.0024000000000000002, 0.0029000000000000002], [0.0025, 0.0004], [0.0025, 0.0076], [3.1395, 0.0083], [0.0033, 0.0014], [1.6642000000000001, 0.0], [3.1446, 0.0037], [3.1395, 0.008700000000000001], [0.0029000000000000002, 0.0035]]], "bitstrings":... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111001100", "111010001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.16076539552415375) q[0];
rz(1.510114503184349) q[0];
rx(1.3755247360164067) q[1];
rz(1.5797106093658329) q[1];
rx(0.5141476781915483) q[2];
rz(1.474982901110808) q[2];
rx(1.3029393052094365) q[3];
rz(1.4256708616660259) q[3];
rx(1.3029393052094367) q[4];
rz(1.48344... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIZZIIII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIZIZZIII",
"IZIIZZIII",
"IZZIIZIII",
"... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.625,
-0.625,
0.25,
-0.125,
-0.25,
-0.125... | 0.970892 | [
0.16076539552415375,
-0.06068182361054759,
1.3755247360164065,
0.0089142825709361,
0.5141476781915483,
-0.09581342568408843,
1.3029393052094367,
-0.14512546512887028,
-0.08735626645449418,
0.43207942190670057,
-0.4889527362678233,
-0.28157853909613356,
-0.12473708139502661,
-0.006470200840... | {
"n_parameters": 66,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 40 |
-8520937667224669731 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 1], [3, 12], [8, 6], [9, 5], [9, 1], [0, 7], [10, 12], [11, 12], [9, 6], [10, 7], [9, 3], [0, 11], [2, 6], [4, 7], [10, 5], [11, 7], [11, 3], [10, 4], [9, 10], [10, 2]]} | {"states": [6980, 6982], "expectation_value": -0.07204730399639062, "params": [0.8314, 0.8327, 0.8469, 0.8486, 0.7499, 0.7438, 0.8501000000000001, 0.8507, 0.8327, 0.8336, 0.749, 0.7471, 0.8381000000000001, 0.8400000000000001, 0.7291000000000001, 0.7255, 0.7283000000000001, 0.7297, 0.7442000000000001, 0.7418, 0.8378, 0.... | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(12)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(11) @ Z(12)) + 0.5 * (Z(11) @ Z(3)) + 0.5... | 13 | 13 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 36, "first_excited_energy": -5.0, "smallest... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.7772030831553574) q[0];
rz(0.05356029330651945) q[0];
ry(1.4080047696422278) q[1];
ry(0.32394970596716866) q[2];
ry(2.1368112973940736) q[3];
ry(0.6965464866561714) q[4];
ry(0.29845903243176475) q[5];
ry(1.2293737563341147) q[6];
ry(0.22905967268354616) q[7];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} | [
"IIIIZIIIIIIZI",
"ZIIIIIIIIZIII",
"IIIIZIZIIIIII",
"IIIZIIIIIIIZI",
"IIIZIIIIIZIII",
"IIIZIIZIIIIII",
"IIIZIIIZIIIII",
"IIIIIZIIIIIIZ",
"ZIZIIIIIIIIII",
"IIZZIIIIIIIII",
"IIZIIIIZIIIII",
"IIZIIZIIIIIII",
"ZZIIIIIIIIIII",
"IZIIIIIIIZIII",
"IZIIIZIIIIIII",
"IZIIIIIIIIIIZ",
"IIIIIIZIIIZ... | [
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,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.986382 | [
1.7772030831553574,
1.4080047696422278,
0.32394970596716866,
2.1368112973940736,
0.6965464866561714,
0.29845903243176475,
1.2293737563341147,
0.22905967268354616,
0.12882003578175455,
0.3243678867125446,
1.8789220794806856,
1.7942789722857715,
-0.1780089597155971,
0.1071205866130389,
-0.... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 51 |
3020331023762882190 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1], [8, 3, 5, 7], [8, 9, 4], [10, 7], [3, 6], [1, 2], [8, 1, 6], [1, 10, 4, 5], [0, 9, 10], [2, 7], [8, 0, 5], [2, 10, 5], [2, 6], [0, 9, 4, 5], [3, 4, 7], [1, 3, 5], [1, 10, 6], [2, 3, 4, 5], [9, 6], [9, 2, 4], [0, 3, 4], [9, 3], [8, 0, 10], [8, 4, 5, 7]... | {"states": [1596, 1597], "expectation_value": -6.062609060757163, "params": [3.1391, -1.0754000000000001, 3.1393, 0.9597, -0.004200000000000001, 0.0001, -0.0027, -0.994, 0.0025, 2.0408, 2.3486000000000002, -0.0025, 2.4353000000000002, -0.0021000000000000003, 2.9478, 0.0027, 3.1439000000000004, 1.1305, 0.2288, -2.8984, ... | 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(9)) + 0.25 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(9)) + 0.41666666666666663 * (Z(6) ... | 4 | 11 | 1 | {"smallest_eigenvalues": [-6.416666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["00111000010"], "largest_eigenvalue": 22.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.0432760909256173) q[0];
rz(0.1356550057572914) q[0];
rx(3.037808916780826) q[1];
rz(2.540003384915588) q[1];
rx(0.04023431870657767) q[2];
rz(1.472864735944306) q[2];
rx(0.06712074008768397) q[3];
rz(0.7228040188222833) q[3];
rx(0.01167371637607937) q[4];
rz(-2.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IZIIIIZIIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IZIIZIIIIII",
"IIIIZIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IZZIIIIIIII",
"IIZIIIZIIII",
"IIZIZIIIIII",
"ZIIIIIIIIIZ",
"ZZIIIIIIIII",
"ZIIIIIZIIII",
"ZIIIZIIII... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.25,
0.08333333333333333,
0.25,
0.3333333333333333,
0.3333333333333333,
0.41666666666666663,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.49999999999999994,
0.25,
0.25,
0.16666666666666666,
0.5,
... | 0.975417 | [
3.2399092162539693,
-1.4351413210376045,
3.037808916780826,
0.9692070581206916,
0.040234318706577676,
-0.09793159085059044,
0.06712074008768398,
-0.8479923079726135,
0.01167371637607937,
1.9510803290065064,
2.529706557987593,
-0.09651726179423559,
2.4278296442693534,
0.01824544887190393,
... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -6.416666666666664,
"target_ratio": 0.97,
"target_value": -6.224166666666664
} | 9 |
800f779aab5ac71650acd9af8d6964c8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3, 7], "expectation_value": -11.709502488858966, "params": [[[0.9266000000000001, 0.0035], [0.9424, 0.00030000000000000003], [0.9535, 0.0032], [0.8179000000000001, 0.0014], [0.7941, 0.0098], [1.5947, 0.0054], [1.5975000000000001, 0.001], [1.596, 0.0047]]], "bitstrings": ["11111100", "11111000"], "total_opti... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.43263153788651865) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.33347793652408547) q[1];
h q[2];
ry(-0.33347793652408547) q[2];
ry(-0.18921776981409477) q[3];
rz(-pi) q[3];
ry(-0.9937012523290137) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[2];
ry(0.33347793652408547) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
-7,
-7,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.5
] | 0.974682 | [
-1.2455998084576945,
-0.37817131988348546,
-0.795027545328284,
-0.3978475091647948,
-0.27195749704621475,
-0.6669558730481709,
1.361511014481087,
1.3396044443315112,
-0.686274487160188,
1.0423394202220775,
-0.35908583330767535,
-0.2925604938850007,
-0.6062823621828345,
-0.4677930098758491,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 23 |
5f0d472ec5410cdf4159a3a34819a3f9 | 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": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 6}, {"capac... | {"states": [511, 383], "expectation_value": -19.322706423931507, "params": [[[-0.0128, -0.0025], [0.003, 0.0028], [-0.8106, 0.0017000000000000001], [0.28340000000000004, 0.0016], [0.0088, 0.0023], [-0.0959, 0.0024000000000000002], [0.0002, -0.0025], [0.0026000000000000003, 0.0024000000000000002], [0.0028, -0.0412], [3.... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(4)) + -1.5 * (Z(1) @ Z(6)) + -1.5 * (Z(8) @ Z(4)) + -1.75 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + 2.0 * (Z(9) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(6)) + -1.75 * (Z(9) @ Z(8)) + -1.25 * (Z(5) @ Z... | 15 | 10 | 2 | {"smallest_eigenvalues": [-20.25, -20.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.25, "smallest_bitstrings": ["1011000000", "1010000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.003300291403969008) q[0];
ry(0.2045516330731137) q[1];
ry(-1.0411089308953727) q[2];
ry(-0.004201418092379321) q[3];
ry(0.08032966380585851) q[4];
ry(0.1067266879423637) q[5];
ry(-0.13943884422598626) q[6];
ry(-0.13887098310209217) q[7];
ry(1.6817211764008098) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IZIIIIIIZI",
"IIIIIZZIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIZZIIII",
"IIIIZIIIZI",
"IZIIZIIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IIZIZIIIII"... | [
-0.5,
-1.25,
-1,
-1,
-1.5,
-1.5,
-1.75,
-0.5,
-0.25,
2,
-1.5,
-0.25,
-1.75,
-1.25,
-0.25,
-0.25,
-1,
-1.5,
-1.25,
-1,
-2.5,
-0.25,
1.75,
1,
-0.75,
1.25,
-0.25,
-2.75,
2.75,
-0.25
] | 0.972725 | [
0.003300291403969008,
0.2045516330731137,
-1.0411089308953727,
-0.004201418092379321,
0.08032966380585851,
0.1067266879423637,
-0.13943884422598626,
-0.13887098310209217,
1.6817211764008098,
0.20190479459099459,
0.15924826385340177,
-0.03165983045157577,
0.1270727647979037,
0.0209932499804... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -20.25,
"target_ratio": 0.97,
"target_value": -19.6425
} | 28 |
339a57bb1c23f4470580bb80982f1c3f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [74, 90], "expectation_value": -4.2703805001379695, "params": [0.30160000000000003, 0.029300000000000003, 0.3034, 0.035, 0.042, -0.171, 0.044500000000000005, -0.16590000000000002, 0.2401, 0.0001, 0.2452, 0.0019, 0.3002, 0.0466, 0.2978, 0.0218, -0.0122, 0.1875, -0.0193, 0.1837, 0.3039, 0.057, 0.3032, 0.0722, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 5 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.24399435750260243) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.24399435750260243) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.24399435750260243) q[2];
cx q[4], q[2];
rz(-0.4570477093... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"IIIIZZI",
"ZZIIIII",
"IZIIIZI",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-0.5,
0
] | 0.725215 | [
-0.24399435750260243,
-0.45704770933237593,
-0.01048511914444058,
-1.983428147922709,
1.0355564279624263,
-1.696110385038197,
0.47323241007407796,
-0.7393798823739974,
-0.30298022667189894,
-4.559184617511286,
-0.6465996571458984
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 455 |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [44, 28], "expectation_value": -9.655755307499891, "params": [-0.0041, -0.33340000000000003, -0.0054, -0.3301, -0.0049, -0.331, -0.008, -0.2989, -0.004, -0.3612, 0.0001, -0.36510000000000004, -0.0036000000000000003, -0.3496, 0.001, -0.3705, 0.2947, 0.10110000000000001, 0.28190000000000004, 0.1063, 0.3027, 0.... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 5 | 10 | 4 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"], "largest_eigenvalue": 26.666666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.008562219394374999) q[0];
rz(-0.18065508670005936) q[0];
rx(-0.0028228946995007883) q[1];
rz(-0.28081080015860127) q[1];
rx(0.008562219394374997) q[2];
rz(0.009275911461020393) q[2];
rx(0.008562219394374997) q[3];
rz(0.16646644706220792) q[3];
rx(0.440647895616474... | 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-0.5,
-1,
0.6666666666666667,
0.5,
-0.5,
-1,
-0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
0.5,
0.5,
-1,
1,
1,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-2.5,
1.1102230246251565e-16,
2.220446049250313e-16,
0,
2.5,
2.5,
2,
4,
-0.5,
-0.5
] | 0.979582 | [
0.008562219394374997,
-0.15097596248673917,
-0.0028228946995007883,
-0.28081080015860127,
0.009275911461020393,
0.16646644706220792,
0.4406478956164749,
-0.09140447979676149,
2.665613078940768,
-0.11848032829119896,
3.109469190815953,
0.2534456444784792,
3.2595205084667747,
-0.077611468584... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -10.333333333333332,
"target_ratio": 0.97,
"target_value": -10.023333333333332
} | 11 |
ba516fd0ce7824e6228356c5f232cfab | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [9, 3], "expectation_value": -28.663102579445237, "params": null, "bitstrings": ["1110110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.15144164514219186, 0.6366779421152876], "optimization_time": 90.06978130340576} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 6 | 7 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.16804737694979255) q[0];
rz(0.2082288294493435) q[0];
rx(0.15075704403065596) q[1];
rz(0.3081286351501191) q[1];
rx(-0.015577567956415184) q[2];
rz(0.2761028885907031) q[2];
rx(0.051898684280336976) q[3];
rz(0.6464979825533907) q[3];
rx(-0.06236402491160774) q[4];
... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(5.3058) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
3,
-10,
-10,
-10.5,
-10.5,
-10,
-9.5,
-9.5
] | 0.970246 | [
0.16804737694979255,
0.12269839746206923,
0.15075704403065598,
0.3741847015101376,
-0.015577567956415184,
0.3742638042105089,
0.051898684280336976,
0.5257644350645199,
-0.06236402491160774,
0.18361076482660355,
0.4922950906627197,
0.16963751239899966,
0.68348045398206,
0.11277220593759216,... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 6 |
1809061964376855019 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 5, 6, 7], [8, 2, 3, 4], [8, 3, 5, 7], [0, 2, 5, 6, 8], [1, 3, 4], [0, 3, 4, 5]]} | {"states": [233, 489], "expectation_value": -1.4430737674522254, "params": null, "bitstrings": ["100010110", "000010110"], "total_optimization_steps": 54, "probabilities": [0.03453541809137134, 0.8533362503542257], "optimization_time": 139.5561637878418} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666669 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.4833333333333334, -1.4833333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4500000000000002, "smallest_bitstrings": ["000010110", "110000001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-2.7087035901755803) q[2];
rz(-pi) q[2];
h q[3];
ry(1.498130651797184) q[3];
cx q[3], q[2];
ry(-0.2093439334872214) q[2];
cx q[3], q[2];
h q[4];
ry(-0.2515592767588695) q[4];
cx q[1], q[4];
ry(0.2515592767588695) q[4];
cx q[1], q[4];
ry(0.613878501436... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4745) 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] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZIZI",
"... | [
0.03333333333333333,
0.03333333333333333,
0.08333333333333334,
0.03333333333333333,
0.16666666666666669,
0.08333333333333334,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.08333333333333334,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.116666666666666... | 0.971793 | [
1.498130651797184,
1.1494199244572627,
0.9285633298934622,
0.4186878669744428,
-0.503118553517739,
0.41187856531057,
-0.24288728708055973,
0.3964501019084739,
-0.41812495766861707,
0.4348567990564392,
-0.31848522233866694,
0.16371095067073388,
0.1777467263505345,
-0.31559392009778936,
-0... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -1.4833333333333334,
"target_ratio": 0.97,
"target_value": -1.4388333333333334
} | 1 |
b93e7e87e2621c92c7ba04b041c49bf3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [117, 94], "expectation_value": -2.2743904872042395, "params": null, "bitstrings": ["10001010", "10100001"], "total_optimization_steps": 73, "probabilities": [0.07198557165048607, 0.5141276994197762], "optimization_time": 126.47597122192383} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100001", "01001100", "10001010"], "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];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) q[3]... | 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(-1.3016) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IZZIIZII",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIZIZIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"ZZIIIIII",
"ZZIIIIZI",
"ZIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.25,
0,
0,
-0.25,
0,
0,
-0.25
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | vqe | {"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": [445, 413], "expectation_value": -3.6135596959662295, "params": [0.6967, 0.08030000000000001, 0.7042, 0.201, 0.3763, 0.26890000000000003, 0.36560000000000004, 0.2735, 0.6872, 0.2348, 0.7051000000000001, 0.023, 0.7018, 0.14600000000000002, 0.39490000000000003, 0.2817, 0.683, 0.0591, 0.6896, 0.0735000000000000... | 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) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[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] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"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 |
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": [1, 7], "expectation_value": -0.06485036233456501, "params": [[-0.0477, 0.020900000000000002, 0.0303], [0.0712, 0.011000000000000001, -0.019700000000000002]], "bitstrings": ["1110", "1000"], "total_optimization_steps": 10, "probabilities": [0.0657695254707975, 0.0657695515616618], "optimization_time": 2.5048... | -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 | 3 | {"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] 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... | {"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 |
d45a5bc179495544dab1e6a4ef51a643 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [6, 68], "expectation_value": -5.472903235056413, "params": null, "bitstrings": ["1111001", "0111011"], "total_optimization_steps": 18, "probabilities": [0.07435629520385204, 0.89903260700947], "optimization_time": 16.015934467315674} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(1) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110111", "1111100", "1011101", "1101110", "1111001", "0101111", "0111011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-1.558254369440666) q[1];
ry(-0.05392714133518371) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.558254369440666) q[3];
h q[4];
ry(1.5289183849698342) q[4];
h q[5];
ry(-0.4651683149926473) q[5];
cx q[0], q[5];
ry(0.4651683149926473) q[5];
cx q[0], q[5];
ry(1.2006... | 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",
"IZIIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IIZIIZI",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1.5,
-1.5,
-2,
-1.5
] | 0.998624 | [
-1.558254369440666,
-1.4393427660055051,
1.5289183849698342,
-0.9303366299852946,
0.8724376731091251,
-0.6346230622382955,
0.656468118180627,
-0.5255464825948177,
-0.07680432474932339,
-0.15505283890841562,
0.11630815878878276,
-0.19506638343682717,
0.07595014109877707
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
f7f48a306b224c39407553aaba18b93b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [495, 4079], "expectation_value": -19.40998373218837, "params": null, "bitstrings": ["111000010000", "000000010000"], "total_optimization_steps": 100, "probabilities": [0.0456812802519923, 0.41208536738947776], "optimization_time": 244.26236820220947} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8))... | 1 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["000000010000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.04105679405427482) q[0];
ry(-0.04604250598936918) q[1];
ry(-0.08999752859262733) q[2];
ry(-0.10873362766441445) q[3];
ry(-0.027018826216076118) q[4];
ry(-0.027018826216076118) q[5];
ry(0.04105679405427482) q[6];
ry(-1.649663906962243) q[7];
ry(0.04475865011177218)... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[8], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIII... | [
-1.5,
0.5,
-1.5,
-2,
-2,
-2,
-2,
1,
-2,
-2,
-2,
-2,
1,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973771 | [
0.04105679405427482,
-0.04604250598936918,
-0.08999752859262733,
-0.10873362766441445,
-0.027018826216076118,
-1.649663906962243,
0.04475865011177218,
3.1469688762443,
0.04115521546027365,
-0.003653552066323479,
0.06807407466308885,
-0.014524707925771384,
0.09895380239260013,
-0.0412423864... | {
"n_parameters": 14,
"n_qubits": 12,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 2 |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [13, 15], "expectation_value": -0.09330886280481863, "params": [[0.0736], [-0.07200000000000001]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.03392608400003884, 0.03452684151417271], "optimization_time": 1.0343432426452637} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10000", "10010"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.3021285901869553) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.043858714499417424) q[1];
cx q[3], q[1];
rz(0.15148676426630026) q[3];
rx(1.6420934673725691) q[3];
h q[4];
cx q[0], q[4];
rz(-0.6058695825523499) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(x1) q[4];
cx q[0], ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-0.25,
0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1,
0.25
] | 0.970354 | [
-0.3021285901869553,
-0.6058695825523499,
-0.043858714499417424,
0.1514867642663002,
-1.1554450260119575,
-1.1686368417294875,
1.6420934673725691,
-0.5967042178992558,
-0.4649764029594956,
-0.7324181695780487,
0.37535760010990565,
-0.9130635513536562,
-0.23404186224473988,
0.11806590585545... | {
"n_parameters": 26,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 256 |
ac7de9b534c44f645a9242250b63cfd7 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "source": 2, "target... | {"states": [42597, 22938], "expectation_value": -0.10470794778830754, "params": [[0.1693], [-0.16690000000000002]], "bitstrings": ["0101100110011010", "1010011001100101"], "total_optimization_steps": 20, "probabilities": [2.3001799151848956e-05, 2.3001799151848966e-05], "optimization_time": 13.350701093673706} | 0.25 * (Z(0) @ Z(1)) + 8.680555555555556e-05 * (Z(2) @ Z(0)) + 8.680555555555556e-05 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00013020833333333333 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00013020833333333333 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009548611111111111 * (Z(6... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0112847222221815], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0112847222221686, "smallest_bitstrings": ["1010011001100101"], "largest_eigenvalue": 2.0133680555555307} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.617968218429954) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0053545861736086255) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.0053545861736086255) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.617968218429954) q[3];
cx q[2], 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;
input float[64] x7;
input float[64] x8;
bit[16] c;
qubit[16] 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]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00008680555555555556,
0.00008680555555555556,
0.25,
0.00013020833333333333,
-0.00078125,
0.00013020833333333333,
-0.00078125,
0.25,
-0.0009548611111111111,
0.00017361111111111112,
0.00026041666666666666,
-0.0009548611111111111,
0.00017361111111111112,
0.00026041666666666666,
0.... | 0.977548 | [
1.617968218429954,
-0.0053545861736086255,
-0.0964580296980281,
-0.03486239147249811,
0.02673145606926181,
-0.007996768091457003,
-0.08882940487947968,
-0.1440514104052954,
-0.7662011656635389
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.0112847222221815,
"target_ratio": 0.97,
"target_value": -1.950946180555516
} | 28 |
531e4441eff4c5873b966bf834cf52d8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [255, 127], "expectation_value": -0.23243141066056286, "params": [[0.0665], [-0.0678]], "bitstrings": ["100000000", "110000000"], "total_optimization_steps": 10, "probabilities": [0.0024487777518183438, 0.002475587229922286], "optimization_time": 3.043030023574829} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["110000000", "110001000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7769864129060373) q[0];
h q[1];
ry(-0.7952159371434646) q[1];
h q[2];
ry(1.5372083132000285) q[2];
h q[3];
ry(0.8697430703869377) q[3];
h q[4];
ry(0.8697430703869377) q[4];
cx q[2], q[4];
ry(-0.8697430703869377) q[4];
cx q[2], q[4];
ry(-0.04839656505682846... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIZIIZII",
"ZIIIIIZII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIZIZII",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIIIIZIZI",
"IIIZIZIII",
"ZIIIIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIZIII",
"... | [
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
1.5,
0.5,
-1,
0.25,
0.75
] | 0.993261 | [
1.5372083132000285,
1.7394861407738753,
1.6035429444931923,
-1.5539728258120746,
-1.5904318742869292,
-0.04839656505682846,
0.03689823600225966,
-0.023558954156701756,
-0.03628253472063196,
-0.022960330714711843,
0.03791568017069479,
-0.06984764664183707,
0.12461453077618921
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 1 |
4b84faaad3bf7a7580aeb2d06aa05d30 | 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": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 0, "tar... | {"states": [245, 242], "expectation_value": -26.09021179556413, "params": [[-0.025, 0.0024000000000000002], [0.068, 0.0713]], "bitstrings": ["100001010", "100001101"], "total_optimization_steps": 10, "probabilities": [0.005186633007177664, 0.0059660404353908325], "optimization_time": 4.147071599960327} | 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(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 201.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.6443048231322337) q[0];
rz(0.006560768441313605) q[0];
ry(-0.027382260011189343) q[1];
rz(-0.7560049664427597) q[1];
cz q[1], q[0];
ry(0.9810391421707605) q[0];
rz(0.06776315940811514) q[0];
ry(-0.027308400411524384) q[1];
ry(0.0265417769160132) q[2];
rz(-0.1634300... | 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\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18.5,
12.5,
25.5,
22.5,
16,
-0.5,
8.5,
19,
3
] | 0.97263 | [
0.6443048231322337,
0.006560768441313605,
-0.027382260011189343,
-0.7560049664427597,
0.0265417769160132,
-0.16343002633692252,
0.7535600767425178,
-0.009680950261477334,
-0.5862013133244105,
0.334164896560638,
0.40367329899142573,
-0.20895155023113984,
-0.11005399046168386,
-0.29806456352... | {
"n_parameters": 81,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 12 |
08b0cbf4dac1f991b95c2f432664a22c | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.3714526010431287, "params": [[-0.375], [0.3713]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 40, "probabilities": [6.046093508184916e-05, 6.0460935081849165e-05], "optimization_time": 24.084790468215942} | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006875000000000002 * (Z(4) @ Z(0)) + -0.0008749999999999999 * (Z(4) @ Z(2)) + -0.0006875000000000002 * (Z(5) @ Z(1)) + -0.0008749999999999999 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0229999999999575], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229999999999526, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.018250000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(3.1105679046873593) q[0];
rz(-0.05121846279679204) q[0];
rx(-1.5971079581578476) q[1];
rz(0.16080537915593981) q[1];
rx(3.1951286532249417) q[2];
rz(-0.03541805135246324) q[2];
rx(-1.6252803044215243) q[3];
rz(-0.1633419734076561) q[3];
rx(3.208166104537925) 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;
input float[64] x9;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.0006875000000000002,
-0.0008749999999999999,
-0.0006875000000000002,
-0.0008749999999999999,
0.25,
-0.0006875000000000002,
0.000375,
-0.0006875000000000002,
-0.0006875000000000002,
0.000375,
-0.0006875000000000002,
0.25,
... | 0.98822 | [
3.1105679046873593,
-0.05121846279679204,
-1.5971079581578476,
0.16080537915593981,
3.1951286532249417,
-0.03541805135246324,
-1.6252803044215243,
-0.1633419734076561,
3.208166104537925,
0.17264989740211875,
1.7013681916917631,
0.11511974923429305,
3.1520236012807725,
0.014198456940397305,... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.022999999999971,
"target_ratio": 0.97,
"target_value": -1.9623099999999716
} | 1 |
-3210474171396682252 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 5, 9, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11], [1, 2, 6, 8, 9, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 3, 5, 6, 7, 8, 10, 11], [2, 5, 8, 9, 10, 11], [2, 6, 7, 8, 9, 10, 11], [0, 1, 2, 4, 6, 7, 10, 11], [0, 1, 2, 3, 4, 5, 7, 9, 10], [2, ... | {"states": [2479, 3503], "expectation_value": -2.0609605097964847, "params": [[[3.1442, 0.0049], [1.6375000000000002, 0.0031000000000000003], [0.0766, 0.0053], [3.1437, 0.007500000000000001], [3.1444, 0.0011], [0.11470000000000001, 0.0064], [3.1445000000000003, 0.0095], [0.1343, 0.0051], [3.1395, 0.0012000000000000001]... | 0.11424963924963924 * (Z(0) @ Z(2)) + 0.12972582972582972 * (Z(5) @ Z(2)) + 0.07853535353535354 * (Z(5) @ Z(0)) + 0.1936147186147186 * (Z(9) @ Z(2)) + 0.08528138528138526 * (Z(9) @ Z(0)) + 0.10075757575757577 * (Z(9) @ Z(5)) + 0.23134920634920633 * (Z(10) @ Z(2)) + 0.10515873015873015 * (Z(10) @ Z(0)) + 0.1206349206349... | 1 | 12 | 1 | {"smallest_eigenvalues": [-2.1172077922077923], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.114826839826839, "smallest_bitstrings": ["001001010000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.052031856519733) q[0];
rz(0.2331624063282287) q[0];
rx(1.7070956322529154) q[1];
rz(-0.10445532389770916) q[1];
rx(0.07981575163733201) q[2];
rz(0.15513862339542625) q[2];
rx(3.186258124052775) q[3];
rz(-0.07277292294406981) q[3];
rx(3.30355938123995) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIZIIZII",
"IIIIIIZIIIIZ",
"IIZIIIIIIZII",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"IZIIIIIIIZII",
"IZIIIIIIIIIZ",
"IZIIIIZIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIZII",
"ZIIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIZII... | [
0.11424963924963924,
0.12972582972582972,
0.07853535353535354,
0.1936147186147186,
0.08528138528138526,
0.10075757575757577,
0.23134920634920633,
0.10515873015873015,
0.12063492063492062,
0.1845238095238095,
0.16424963924963923,
0.08924963924963925,
0.10472582972582972,
0.1174242424242424,... | 0.973862 | [
3.052031856519733,
0.2331624063282287,
1.7070956322529154,
-0.10445532389770916,
0.07981575163733201,
0.15513862339542625,
3.186258124052775,
-0.07277292294406981,
3.30355938123995,
-0.11825414766078206,
0.1716726000479749,
-0.08150399429628387,
3.2441379421013563,
-0.09638511507931265,
... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -2.1172077922077923,
"target_ratio": 0.97,
"target_value": -2.0536915584415585
} | 1 |
-574905830074397451 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4], [10, 4, 7], [2, 4], [0, 9, 2, 5], [1, 2, 3, 5], [9, 10], [8, 2, 3, 5], [3, 11, 5, 7], [8, 9, 2, 1], [10, 11], [8, 7], [0, 2, 3, 6], [1, 2, 5, 6], [8, 0], [1, 4, 5, 6], [0, 9, 11], [6, 7], [8, 11], [8, 1, 5, 9], [9, 2, 7], [11, 9, 3], [8, 9, 4], [9... | {"states": [3797, 3285], "expectation_value": -6.578976131999014, "params": [1.5672000000000001, -0.0021000000000000003, 1.5694000000000001, 0.005, 1.7362000000000002, 0.002, 1.3777000000000001, 0.0013000000000000002, 2.1236, -0.5319, 2.1284, 0.0082, 2.3473, -0.4728, 1.6564, -0.3534, 1.1806, 0.0035, 1.1525, 0.0022, 2.7... | 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(10) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.25 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.5 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0... | 8 | 12 | 1 | {"smallest_eigenvalues": [-6.916666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.749999999999998, "smallest_bitstrings": ["001100101010"], "largest_eigenvalue": 20.999999999999986} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.4270446324039479) q[0];
rz(1.67149850158013) q[0];
rx(1.524019749912864) q[1];
rz(-0.10599515171591922) q[1];
cx q[1], q[0];
ry(-0.026136039943741793) q[0];
cx q[1], q[0];
ry(1.66912306616752) q[0];
rz(-1.4219046807444549) q[0];
rx(1.36634242733884) q[1];
rz(1.374... | 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": []} | [
"IIIIIIIZZIII",
"IZIIIIIZIIII",
"IIIIZIIZIIII",
"IIIIZIIIZIII",
"IZIIZIIIIIII",
"IIIIIIIZIZII",
"IIIIIIIIZZII",
"IIIIZIIIIZII",
"IIIIIIIIZIIZ",
"IIIIIIIIIZIZ",
"IIZIIIIZIIII",
"IIZIIIIIZIII",
"IZZIIIIIIIII",
"IIZIZIIIIIII",
"IIZIIIIIIZII",
"IIZIIIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIZ... | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.5,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.3333333333333333,
0.25,
0.08333333333333333,
0.25,
0.083333333333... | 0.97085 | [
1.4270446324039479,
0.10070217478523377,
1.524019749912864,
-0.10599515171591922,
2.5446202042379524,
-0.742902101396521,
2.438906120675278,
-0.7324755449657835,
1.1225433400819553,
0.1086742801412678,
2.786545407113069,
0.26986719206396786,
0.0004386481684852299,
-0.1250978257042674,
1.... | {
"n_parameters": 59,
"n_qubits": 12,
"optimal_eigenvalue": -6.916666666666666,
"target_ratio": 0.97,
"target_value": -6.709166666666666
} | 10 |
c27e04a1b516da945dec2e0c25bb156f | 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": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 129], "expectation_value": -20.76327260237053, "params": [0.0022, 0.0055000000000000005, -1.5976000000000001, 0.0059, 0.0025, 0.0041, -0.0025, 0.0027, -0.0024000000000000002, 0.004, -0.0025, 0.0051, -0.0024000000000000002, 0.0037, -0.0025, 0.007500000000000001, 3.1445000000000003, 0.0092, 0.0086, 0.0005,... | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06967276814104263) q[0];
rz(-0.5208853132243405) q[0];
rx(0.37891887116917855) q[1];
rz(-0.049982881516559274) q[1];
rx(-0.13726470414877495) q[2];
rz(-0.4430494836647938) q[2];
rx(0.003126559692845046) q[3];
rz(-0.3648118766750441) q[3];
rx(0.09891199110043837) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"... | [
-0.5,
-1.75,
-1.25,
-1,
-0.5,
-0.25,
2,
-1,
-2.5,
-0.5,
-1,
-1.25,
-0.25,
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.75,
-0.75,
-0.5,
0.75,
-0.25,
-2,
1.5,
-1.25,
0.75,
-0.5,
1.5,
-0.5
] | 0.980767 | [
-0.06967276814104263,
-0.5077052066360224,
0.37891887116917855,
0.11250276711834724,
-0.137264704148775,
-0.45793354836872574,
0.003126559692845046,
-0.42011945932490585,
0.09891199110043836,
-0.5070494861943647,
0.07526411138815307,
-0.5086162215845557,
-0.0346396890206757,
-0.66674823848... | {
"n_parameters": 124,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
26d7f56e59bfdf48052023802b40605b | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}]} | {"states": [26333, 15214], "expectation_value": -5.947950439481206, "params": [[0.36260000000000003], [-0.38370000000000004]], "bitstrings": ["001100100100010", "100010010010001"], "total_optimization_steps": 40, "probabilities": [0.0009754857410541925, 0.0009754857410541926], "optimization_time": 137.47335410118103} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 1 | {"smallest_eigenvalues": [-8.750000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999998, "smallest_bitstrings": ["100010010010001"], "largest_eigenvalue": 26.249999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | 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[15] c;
qubit[15] 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];
h q[14];
cx q[1], q[0]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
1,
1,
1,
1.25,
1.25,
1.25,
0.75... | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
9ca90d519cf4db5abcb4a0b360e430b3 | 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": [126, 110], "expectation_value": -73.23726306797367, "params": [-0.002, -0.4874, 0.002, 0.6422, 1.0024, -0.0118, 0.9805, 0.24480000000000002, 0.47540000000000004, 0.32080000000000003, 0.9944000000000001, 0.0328, 0.7894, 0.16770000000000002, 1.0031, 0.1945, 0.45080000000000003, 0.30810000000000004, -0.0045000... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(3) @ Z(6)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(0) @ Z(7)) + -4.5 * Z(1) + 14.5 * Z(2) + 10.5 * Z(4) + 12.0 * Z(6) + ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["110010001"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.07005123824445832) q[0];
rz(-0.9538888203711444) q[0];
rx(-0.003570958538837098) q[1];
rz(0.7214503855280567) q[1];
rx(0.9414692332165991) q[2];
rz(0.061988276262830294) q[2];
rx(1.3270910064678336) q[3];
rz(0.3292673867868496) q[3];
rx(0.35030718071099476) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIZIZIIII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIIZ"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-4.5,
14.5,
10.5,
12,
13,
27,
10.5,
6,
-3.5
] | 0.971446 | [
-0.07005123824445832,
-0.6679193642090884,
-0.003570958538837098,
0.7214503855280567,
0.9414692332165991,
0.061988276262830294,
1.3270910064678336,
0.3292673867868496,
0.35030718071099476,
0.6632235846173525,
1.037655657352497,
0.11740314552772102,
1.0137363570085285,
0.0804264081332005,
... | {
"n_parameters": 75,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 12 |
5138809986347533163 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 6], [1, 2], [4, 5], [0, 4]]} | {"states": [36, 37], "expectation_value": -1.5782185634749097, "params": null, "bitstrings": ["1011011", "1011010"], "total_optimization_steps": 46, "probabilities": [0.23244638246725458, 0.28051907423554023], "optimization_time": 54.71273183822632} | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * Z(3) + 0.125 * Z(1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["0010100", "1100010", "1011010", "1010011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6084132687311982) q[0];
h q[1];
h q[2];
ry(-0.07344467872835243) q[2];
cx q[1], q[2];
ry(0.07344467872835243) q[2];
cx q[1], q[2];
ry(1.0998936018605219) q[1];
ry(-1.20466187623038) q[2];
h q[3];
h q[4];
h q[5];
ry(-0.07344467872835243) q[5];
cx q[4], q[5]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZZI",
"IZZIIII",
"IIZIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIIIIIZ"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0
] | 0.970209 | [
-0.14688935745670487,
1.6223121137593144,
-1.2168265374623963,
-0.7183518360104493,
1.0998936018605219,
-0.02173216243839655,
-0.9478258514482467,
0.4192710747258568,
-0.5136720495642665,
-0.755799626051801,
-0.15844203202269366,
0.21671160462178243,
0.13644399835321136,
-0.873788968611434... | {
"n_parameters": 43,
"n_qubits": 7,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 33 |
-6678582832506776969 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 1], [2, 4], [0, 7], [1, 7], [1, 6], [1, 2], [9, 3], [1, 3], [8, 4], [9, 2], [8, 0], [8, 3], [0, 1], [3, 5], [9, 5], [0, 4], [1, 4], [3, 7], [2, 5], [8, 5], [0, 6], [8, 7], [1, 5], [9, 6], [9, 4], [5, 7]]} | {"states": [259, 263], "expectation_value": -0.2604543604237727, "params": [0.636, 0.6695, 0.8799, 0.8313, 0.622, 0.6361, 0.604, 0.6031000000000001, 0.6692, 0.6839000000000001, 0.6525000000000001, 0.6613, 0.6894, 0.6629, 0.7326, 0.8369000000000001, 0.8878, 0.8846, 0.8216, 0.8279000000000001, 0.8813000000000001, 0.87820... | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100000011", "1001111000", "0110000111", "0100000111", "0011101110", "0001111100", "1011111000", "1110000011", "0011111100", "11... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.27360877484169965) q[0];
rz(pi/2) q[0];
ry(1.830790225529969) q[1];
ry(0.5556945357509081) q[2];
ry(0.26360078519897745) q[3];
ry(-0.0018912205067525556) q[4];
ry(0.4681476522362592) q[5];
ry(-0.5684345936946454) q[6];
ry(1.4441946240154686) q[7];
ry(1.3988389832... | 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": []} | [
"IZIIIIIIZI",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IZIIIZIIII",
"IIIIIZIZII",
"IIIIIIIIZZ",
"IZIIIIIIIZ",
"IIIIIZIIIZ",
"IIZIIIIIZI",
"IZZIIIIIII",
"IIZIIIIIIZ",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIIIZIZI",
"IZIIIIZIII",
"IIZIIIZIII",
"ZIIIIIZIII"... | [
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,
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,
0
] | 0.974615 | [
-0.27360877484169965,
1.830790225529969,
0.5556945357509081,
0.26360078519897745,
-0.0018912205067525556,
0.4681476522362592,
-0.5684345936946454,
1.4441946240154686,
1.3988389832377224,
1.5162228388601322,
0.14074283300372192,
1.2649559676871618,
-0.025664223345109607,
0.8232180591291802,... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 65 |
67f2dc7231d0bca43ec43f13d2867d44 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [0, 31], "expectation_value": -2.2798094312618815, "params": [[-0.06470000000000001], [0.0632]], "bitstrings": ["11111111111", "11111100000"], "total_optimization_steps": 10, "probabilities": [0.0008403033562594639, 0.0009036725591232129], "optimization_time": 0.8821406364440918} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(4)) + -1.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["11111100000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8657115893676179) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.17227428824494487) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.0844123997530538) q[2];
cx q[1], q[2];
rz(0.8657115893676179) q[3];
cx q[0], 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;
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[1], ... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"ZIIIZIIIIII",
"ZIIZIIIIIII",
"IIIZZIIIIII",
"ZZIIIIIIIII",
"IZIZIIIII... | [
-2.5,
1,
-2.5,
0.5,
0.5,
1,
0.5,
0.5,
-2,
-3,
1.5,
-3,
1,
-3,
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-1.5,
-2.5,
-3,
1.5,
-2.5,
-2.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.493358 | [
0.8657115893676179,
0.17227428824494487,
0.0844123997530538,
0.5195560908411037,
0.5495222499204575,
0.24754394797641555,
1.2647051759020187,
0.9547289036375632
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 198 |
f7e92575e65685640cf7c9d8993714e1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [3, 1791], "expectation_value": -9.714584440803767, "params": [-0.0043, 1.229, 0.3204, 0.167, -0.1404, 0.5191, -0.49360000000000004, 0.36010000000000003, 0.36360000000000003, 0.8273, 0.3024, 0.8811, -0.5174, 0.31270000000000003, 0.060500000000000005, 0.7559, -0.5637, 0.317, -0.0297, 0.7742, -0.5657, 0.3829, ... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(3) + 0.5 * Z(0) +... | 6 | 11 | 2 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["00100000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.007934667769530692) q[0];
rz(-2.5238903375141284) q[0];
rx(2.0652423615426003) q[1];
rz(-1.5647019006754466) q[1];
rx(0.03281533720851773) q[2];
rz(-2.8158342598096855) q[2];
rx(-1.5300178062648735) q[3];
rz(1.6083778126766202) q[3];
rx(3.082269975569686) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x11;
input float[64] x12;
inp... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIII... | [
-2,
-2,
0.5,
-2,
0.5,
0.5,
-2,
1,
-2,
-2,
1,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971802 | [
0.007934667769530692,
2.188498642870561,
2.0652423615426003,
3.1476870797092436,
0.03281533720851773,
1.8965547205750044,
-1.5300178062648735,
0.03758148588172375,
3.082269975569686,
0.013252377984024954,
-0.3005819164928372,
-0.05936927617080483,
-0.23475716898892646,
0.06204305710924974,... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 450 |
e2004c192cc4561952e6868751ba0522 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 8}, {"sour... | {"states": [396, 392], "expectation_value": -4.629140536782844, "params": [[[0.8535, 0.003], [0.9009, 0.0021000000000000003], [0.0024000000000000002, 0.46730000000000005], [-0.0012000000000000001, -0.4559], [0.7224, 0.056900000000000006], [0.8348, 0.0056], [0.7476, -0.043000000000000003], [0.001, 0.4753], [-0.0027, 0.4... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -5.0, "smallest_bitstrings": ["101011011", "101010111", "001110111", "110101011", "101100111", "110100111", "101101011", "110011011", "001111101", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.565316644899932) q[0];
ry(2.8923296653774884) q[0];
rz(-0.14549976498768036) q[0];
rz(1.8484850246361013) q[1];
ry(3.018932950550098) q[1];
rz(-0.6395194766926791) q[1];
rz(-0.2643757100697046) q[2];
ry(0.1956169670753455) q[2];
rz(1.9720324730307972) q[2];
rz(-2.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
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0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1,
-0.5,
-2,
-1.5,
-0.5,
-1
] | 0.971623 | [
1.547939585537344,
0.20969762536849829,
1.1464511864896738,
0.03518396305112639,
-0.02438692955057216,
1.4286200539535958,
0.5650705413229317,
-0.22655119867636356,
0.33297839305463667,
0.04329715778114948,
-0.19477089627509328,
-0.11902333286652732,
2.0600930048455917,
-0.2432632600177017... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 25 |
5bfd79024282ae69c62758a244a2de56 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [41, 44], "expectation_value": -2.9963046695352116, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 20, "probabilities": [0.0670646542080499, 0.9295035146573057], "optimization_time": 13.175533533096313} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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",
"IIIZZI",
"IZIIZI",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
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-0.5
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
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-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
460c923df83f30f22def2c9af8610a90 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [98, 67], "expectation_value": -4.4965155484111925, "params": null, "bitstrings": ["0011101", "0111100"], "total_optimization_steps": 26, "probabilities": [0.06700896400155715, 0.9297460623239685], "optimization_time": 26.22137141227722} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + -1.5 * Z(2) + -1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110110", "0111100", "0011101", "0001111", "1110010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.12233641357649425) q[0];
cx q[4], q[0];
rz(0.3765696952853905) q[0];
rx(-1.2769170506152017) q[0];
cx q[4], q[1];
rz(0.12233641357649425) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(0.12233641357649425) q[3];
cx 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(-1.5708) 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",
"IIIZIZI",
"ZIIIIZI",
"IIZIZII",
"IIIZZII",
"ZIIIZII",
"IZZIIII",
"IZIZIII",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-0.5,
-1.5,
-1
] | 0.922154 | [
0.12233641357649425,
-1.2934414187902954,
0.37656969528539047,
-0.6503855682493497,
0.8038693115633776,
-1.2769170506152019,
0.9043538820045093,
-1.693141488697201,
-0.90289687204353,
-1.4194505451237325,
-0.5705143914878514,
0.4995326822605433,
-2.886443753675267,
-1.9763964731451829,
0... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
9313084cc492e2aab2fbf1a94b6f25bf | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [127, 95], "expectation_value": -0.7191423292313699, "params": [[0.0656, 0.06770000000000001, 0.0367], [-0.0606, -0.0727, -0.046700000000000005]], "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 10, "probabilities": [0.006729218436207212, 0.006979368507025264], "optimization_time": 4.5418... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10110110", "10100110", "10100010", "10100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5044872271921961) q[0];
h q[1];
ry(0.7817244421400541) q[1];
h q[2];
ry(-0.6384678543212984) q[2];
h q[3];
ry(0.38704973127573605) q[3];
h q[4];
ry(1.56196623503395) q[4];
cx q[4], q[1];
ry(-0.7817244421400541) q[1];
cx q[4], q[1];
cx q[1], q[2];
ry(0.6384... | 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": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIIZIZII",
"IZIZIIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
1,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.25,
0.25,
-0.75,
0.5,
0,
0,
1.25
] | 0.974103 | [
1.56196623503395,
1.5634488842801082,
-1.0089744543843921,
1.3527550025587325,
-1.2769357086425968,
-0.7483517277935016,
0.40733913296322016,
0.7740994625514721,
-1.14380225088928,
0.24805613609596966,
-0.04051523267791764,
-0.7821264110959021,
0.5107849771464563,
-0.2823156684433042,
-0... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 18 |
fc080107649a6d17dcb56ee14364c80b | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [2709, 1386], "expectation_value": -0.007421224907453538, "params": [[0.055400000000000005], [-0.0449]], "bitstrings": ["010101101010", "101010010101"], "total_optimization_steps": 10, "probabilities": [0.0002515616884533268, 0.00025156168845332687], "optimization_time": 7.028115510940552} | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005859375000000001 * (Z(6) @ Z(0)) + 0.0005859... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5169921874999996, -1.5169921874999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107421875000004, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5107421875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03719020080834875) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03719020080834875) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.03719020080834875) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.03719020080834875) q[3];
cx q[0], 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[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0011718750000000002,
-0.0011718750000000002,
0.25,
-0.00078125,
-0.00078125,
-0.00078125,
-0.00078125,
0.25,
0.0005859375000000001,
0.0005859375000000001,
-0.000390625,
0.0005859375000000001,
0.0005859375000000001,
-0.000390625,
0.25,
0.000390625,
0.000390625,
0.00078125... | 0.97288 | [
0.03719020080834875,
-1.8699221453934163,
1.5492561782986691,
-1.5931886264214523,
-1.6517452253590352,
1.8627470768994112,
-1.1395722413714153,
-1.5382517386917764,
1.6492088456784,
1.2904626098927485,
0.06032190008345585,
0.7509437090138501,
-1.2690087663305125,
-0.04464628747226069,
0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 82 |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [12, 8], "expectation_value": -0.12264782538825349, "params": [[0.0407, 0.0383, 0.067], [-0.030600000000000002, -0.0234, -0.0459]], "bitstrings": ["0011", "0111"], "total_optimization_steps": 10, "probabilities": [0.06956433076175532, 0.07001529908343557], "optimization_time": 1.9320030212402344} | 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) | 1 | 4 | 3 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | 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 |
28550855a20366800e3fd917bf6489e0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [17, 1], "expectation_value": -5.062217743352777, "params": null, "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 27, "probabilities": [0.15063236032211283, 0.6761288203102811], "optimization_time": 25.352816581726074} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "11111110", "11100110", "11101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15216926898181918) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.15216926898181918) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.05788856062893183) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.15216926898181918) q[5... | 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];\ncry(-1.5486) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
0.25,
0,
-0.75,
0.25,
0,
0.5
] | 0.970246 | [
0.15216926898181918,
0.05788856062893183,
-0.39706471093018897,
-0.4983538334088068,
-0.6196842796802551,
-0.8562234492096112,
-0.7118375263136241,
1.5192229975930538,
0.31351551366482816,
0.21708871535439847,
-0.41629988721034344,
-1.1950335447601863,
-0.3996149728763092,
-0.3579384860504... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 333 |
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": -2.4419223187692536, "params": [[-0.0714, -0.0753, -0.0695, -0.0424], [0.0717, 0.076, 0.07490000000000001, 0.0635]], "bitstrings": ["001010100", "100001010"], "total_optimization_steps": 10, "probabilities": [0.007675248339619103, 0.007675248339619104], "optimization_time": 1... | 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 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[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] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"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 |
-3464214293046695915 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4], [1, 3, 5, 6, 7], [0, 1, 2, 4, 5, 6, 7], [0, 1, 2, 3, 6, 7, 8], [0, 1, 2, 3, 5, 7, 8], [1, 2, 3, 4, 5, 6], [8, 2, 5, 6], [8, 3, 5, 6]]} | {"states": [413, 366], "expectation_value": -0.9859686257143874, "params": [[-0.37370000000000003], [0.3541]], "bitstrings": ["001100010", "010010001"], "total_optimization_steps": 40, "probabilities": [0.0048562985775735526, 0.004875442777384979], "optimization_time": 51.53496074676514} | 0.21428571428571427 * (Z(0) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(3)) + 0.19047619047619047 * (Z(4) @ Z(0)) + 0.13095238095238096 * (Z(1) @ Z(3)) + 0.07142857142857142 * (Z(1) @ Z(0)) + 0.05714285714285714 * (Z(1) @ Z(4)) + 0.19047619047619047 * (Z(5) @ Z(3)) + 0.047619047619047616 * (Z(5) @ Z(0)) + 0.0571428571428... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8047619047619046], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7714285714285714, "smallest_bitstrings": ["010010001"], "largest_eigenvalue": 7.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.0861218774056207) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-3.0025571499094257) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0620085389574419) q[1];
cx q[3], q[1];
rz(-0.013968214498421009) q[4];
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": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZIIIZI",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"... | [
0.21428571428571427,
0.19999999999999998,
0.19047619047619047,
0.13095238095238096,
0.07142857142857142,
0.05714285714285714,
0.19047619047619047,
0.047619047619047616,
0.05714285714285714,
0.13095238095238096,
0.19047619047619047,
0.047619047619047616,
0.05714285714285714,
0.1309523809523... | 0.973215 | [
0.0861218774056207,
-3.0025571499094257,
-0.013968214498421009,
0.0620085389574419,
0.02646292360404771,
0.0521414814731721,
-0.005666856098298534,
0.1038721561128289,
-0.02021976277642394,
-0.024071032754417482,
0.15680699404565915,
-0.17211529356506783,
0.21154733586938226,
-0.0245428648... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -1.8047619047619046,
"target_ratio": 0.97,
"target_value": -1.7506190476190473
} | 129 |
-7215287267589527026 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 6], [9, 7], [0, 9], [1, 4], [2, 4], [8, 3], [0, 5], [0, 10], [1, 11]]} | {"states": [1479, 455], "expectation_value": -0.13543883797785797, "params": [0.6877, -0.09190000000000001, 0.6844, 0.0027, 0.7332000000000001, 0.0204, 0.7332000000000001, 0.0039000000000000003, 0.7309, -0.048600000000000004, 0.729, 0.0037, 0.8663000000000001, -0.007500000000000001, 0.8654000000000001, 0.0047, 0.8459, ... | 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(11) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(9) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(8) + 0.0... | 7 | 12 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["000011001111", "011001001110", "000111000111", "111000111000", "100110110001", "111100110000", "100010111001", "011101000110"], "largest_eigenvalue": 4.5... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.856169104226109) q[0];
rz(0.18887722588617706) q[0];
rx(-0.05586434580495765) q[1];
rz(0.8436444665153756) q[1];
cx q[1], q[0];
rz(-0.24590884201230845) q[0];
cx q[1], q[0];
rx(0.6415362208920015) q[0];
rz(0.5092982296147136) q[0];
rx(-0.05586434580495766) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIZIIIIII",
"IIZIZIIIIIII",
"IIZIIIIIIIIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIZII",
"IIIZIIIIZIII",
"IIIIIIZIIIIZ",
"IZIIIIIIIIIZ",
"ZIIIIIIIIIZI",
"IIIIIZIIIIII",
"IIZIIIIIIIII",
"IIIIZIIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIZIIIII... | [
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,
0,
0,
0
] | 0.971058 | [
-0.8561691042261089,
-0.05703161612613086,
-0.05586434580495765,
0.8436444665153756,
0.23255858818840391,
-0.47003347084275654,
1.494055264377,
-0.024084260172850397,
0.737652264610909,
-0.03992026368670651,
0.9414778117386426,
-0.17987955584189436,
0.6358492337952315,
0.07299899651791696,... | {
"n_parameters": 54,
"n_qubits": 12,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 93 |
70084b84ab6bcd1923895c004533d5a8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, ... | {"states": [65, 21], "expectation_value": -2.7285641186974385, "params": [[-0.3457], [0.3708]], "bitstrings": ["0111110", "1101010"], "total_optimization_steps": 40, "probabilities": [0.0356100831702707, 0.036509190350642075], "optimization_time": 1.77095627784729} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1001011", "1010011", "1101001", "1101010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.4960585747588648) q[0];
h q[1];
ry(-0.5052428947976614) q[1];
h q[2];
ry(-0.5772024041563384) q[2];
h q[3];
cx q[3], q[2];
ry(0.5772024041563384) q[2];
cx q[3], q[2];
ry(-0.6843464657039956) q[2];
ry(0.973719037814723) q[3];
h q[4];
ry(1.7203592481318517) ... | 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[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIZI",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-0.5,
-1,
0,
-1,
-1
] | 0.991463 | [
-1.4960585747588648,
-1.5174008634150173,
1.7203592481318517,
-1.0104857895953228,
-1.1544048083126768,
0.7914555896480011,
-0.5119869416647143,
0.36452689633344415,
-0.34471904807856296,
0.48328583578776585,
0.26529526617155025,
-0.053145709070203745,
-0.01628721250378412,
0.0760722069734... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
7649588842338433581 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 6, 7], [8, 1, 3, 4], [1, 4, 6, 7], [0, 1, 3, 7, 8], [0, 2, 4, 6, 7], [8, 2], [8, 5, 6], [8, 1, 6], [8, 1, 3, 5], [0, 2, 3, 4, 6], [4, 5], [1, 2, 3, 4, 7], [8, 4, 6], [0, 5, 7], [3, 5, 6]]} | {"states": [303, 311], "expectation_value": -3.6700612679976437, "params": null, "bitstrings": ["011010000", "011001000"], "total_optimization_steps": 54, "probabilities": [0.07779214461068265, 0.854723094467997], "optimization_time": 147.01118850708008} | 0.26666666666666666 * (Z(3) @ Z(4)) + 0.43333333333333335 * (Z(6) @ Z(4)) + 0.3 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(4)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(7)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8000000000000016], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.716666666666668, "smallest_bitstrings": ["011001000"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.6808648634138037) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.4674404481010005) q[1];
h q[2];
ry(-0.4174947468621872) q[2];
h q[3];
ry(1.5476321452348163) q[3];
h q[4];
h q[5];
ry(-0.5206308351451352) q[5];
cx q[4], q[5];
ry(0.5206308351451352) q[5];
cx q[4], q[5];
ry(-0.26... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.57) 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] = mea... | [
"IIIIZZIII",
"IIZIZIIII",
"IIZIIZIII",
"IZIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIIZI",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIIZZ",
"... | [
0.26666666666666666,
0.43333333333333335,
0.3,
0.26666666666666666,
0.18333333333333335,
0.21666666666666667,
0.25,
0.21666666666666667,
0.5,
0.05,
0.21666666666666667,
0.26666666666666666,
0.25,
0.18333333333333335,
0.3833333333333333,
0.1,
0.1,
0.1,
0.26666666666666666,
0.05,... | 0.971676 | [
1.5103508595887516,
1.5476321452348163,
1.2285296100637746,
-1.0412616702902704,
-0.8349894937243744,
1.1074156921028566,
-0.9278775831669082,
0.4462703759274426,
-0.934880896202001,
0.6300671159792638,
-0.5226110149513566,
0.556439330120181,
-0.3320301984814409,
-0.7292442070934777,
-0.... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -3.8000000000000016,
"target_ratio": 0.97,
"target_value": -3.6860000000000013
} | 4 |
87ba346715d7ffd469182fcb7e9830c2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [19, 17], "expectation_value": -16.023942414274988, "params": null, "bitstrings": ["1101100", "1101110"], "total_optimization_steps": 38, "probabilities": [0.42315890257289124, 0.5338802164598142], "optimization_time": 28.820628881454468} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 3 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101100", "1101110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2424713024680878) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.09609449461972433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07103718221836942) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.2424713024680878) 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(1.2796) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-1.25,
-0.5,
-1,
-0.5,
2.25,
-1.75,
-2.5,
-1.75,
-1.5,
-2.75,
-0.25,
4,
1.75,
0.5,
-1.75,
-1.5
] | 0.970277 | [
-0.2424713024680878,
-0.09609449461972433,
-0.07103718221836942,
0.24484176276753844,
-0.5846079027452293,
-0.03545717743987341,
-0.13831910799219202,
-0.24427600165074528,
-0.4294993140104167,
0.03986173338969032,
-0.32853968363508496,
0.40842551468782123,
-0.9636115791438007,
0.066113856... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 83 |
3c8bd33161699cb22d1ae18a511877e9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 5}, {"weight": 12, "source": 0, "tar... | {"states": [252, 244], "expectation_value": -22.031445807466223, "params": [[0.0223, 0.0043], [-0.0639, -0.0634]], "bitstrings": ["100000011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.00472775305677307, 0.005463826461453288], "optimization_time": 3.691323757171631} | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 187.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.1515728488958203) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.1515728488958203) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.1515728488958203) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.1515728488958203) q[2];
cx q[3], q[2];
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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
24,
12,
14.5,
15,
19,
18.5,
0.5,
-1,
12.5
] | 0.971954 | [
0.1515728488958203,
-1.1352170474079428,
0.5746817592287118,
-0.8649704692143048,
-0.7701087377673534,
-1.3915974306549959,
-0.4029895134716305,
0.7478510481473699,
1.170458017734305,
1.0471777458739444,
0.2871058204447927,
-0.20368695777537055,
-0.4285298091014381,
0.8994547323501563,
-... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 49 |
5553213675099766051 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3, 4], [1, 2, 5], [1, 2, 3], [0, 2, 4, 5], [0, 2, 3, 5], [0, 1, 3, 4, 5]]} | {"states": [59, 58], "expectation_value": -0.9518769202396149, "params": [2.644, 0.0068000000000000005, 2.636, 0.0058000000000000005, 2.6395, 0.0076, 1.5285, 0.0047, 2.3838, 0.0074, 1.5289000000000001, 0.0014, 0.0032, 0.0015, 0.0022, 0.0039000000000000003, 0.009000000000000001], "bitstrings": ["000100", "000101"], "tot... | 0.41666666666666663 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.21666666... | 3 | 6 | 1 | {"smallest_eigenvalues": [-1.6166666666666671], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5333333333333332, "smallest_bitstrings": ["000101"], "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];
cx q[3], q[2];
rz(0.06492563448364758) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.9001368011618903) q[4];
cx q[3], q[4];
cx q[2], q[4];
cx q[3], q[1];
rz(0.9001368011618903) q[1];
cx q[3], q[1];
rz(0.03942193866310484) 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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIZZII",
"IZZIII",
"IZIZII",
"IIZIZI",
"IIIZZI",
"IZIIZI",
"ZIZIII",
"ZIIZII",
"ZZIIII",
"ZIIIZI",
"IIZIIZ",
"IIIZIZ",
"IZIIIZ",
"IIIIZZ",
"ZIIIIZ",
"IIZIII",
"IIIZII",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIIIIZ"
] | [
0.41666666666666663,
0.21666666666666667,
0.25,
0.21666666666666667,
0.3333333333333333,
0.05,
0.13333333333333333,
0.3333333333333333,
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.16666666666666666,
0.13333333333333333,
0.05,
0.21666666666666667,
0.5583333333333333... | 0.776742 | [
0.06492563448364758,
0.9001368011618903,
0.03942193866310484,
0.04213533453127251,
-0.7695051333614087,
-0.025792085355763602,
0.02388773732041047,
0.09292834276638468,
1.580459187421872,
0.34437058262493697,
0.09668760968409951,
0.13335946033847035,
0.43799206532897217,
-1.168958115180750... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -1.6166666666666671,
"target_ratio": 0.97,
"target_value": -1.5681666666666672
} | 308 |
7362d2422475c4ddbe12db67086ced55 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [65, 73], "expectation_value": -5.038508402934012, "params": [0.0855, 0.05, 0.4027, -0.0008, 0.0835, 0.0755, 0.1563, -0.055400000000000005, 0.39890000000000003, -0.003, -0.0055000000000000005, 0.1789, 0.0611, 0.17070000000000002, 0.4015, 0.0036000000000000003, 0.0853, 0.023100000000000002, 0.405, -0.0032, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["10111100", "11000111", "10110110", "10100111", "01111100"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.21287484078541039) q[0];
rz(1.8443956481910897) q[0];
rx(0.6162694352453647) q[1];
rz(1.4599473613443292) q[1];
rx(0.12247668407566244) q[2];
rz(1.3441686548816367) q[2];
rx(-0.001220979276320887) q[3];
rz(1.541266952852098) q[3];
rx(0.6944654568150581) 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": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZZIIII",
"IIIIIZZI",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"IZIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"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,
0.5,
0.5,
-1,
-1.5,
-1,
-1,
-2.5,
-1.5,
-1.5,
-1
] | 0.975887 | [
0.21287484078541039,
0.27359932139619286,
0.6162694352453647,
-0.11084896545056748,
0.12247668407566241,
-0.22662767191325983,
-0.0012209792763208868,
-0.029529373942799725,
0.6944654568150582,
-0.19584323861514824,
-0.26575327373624674,
0.18286298999172215,
-0.051892504516552695,
0.258167... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 10 |
b10e647670f759bc4f3dd1387515cbab | 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": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [20, 22], "expectation_value": -2.587089630535175, "params": [[[0.197, -0.031400000000000004], [0.7096, -0.09380000000000001], [-0.1587, -0.1056], [0.48560000000000003, 0.3519], [0.27640000000000003, 0.7043], [0.2081, 0.7087]], [[-0.0388, -0.1043], [0.7065, 0.006500000000000001], [-0.1988, 0.0109], [0.6976, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 15 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "001101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.6059590783964175) q[1];
h q[2];
ry(-1.5435690642332873) q[2];
h q[3];
ry(-0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.9119014324033945) q[0];
ry(-0.6753977872976624) q[3];
h q[4];
ry(1.6059590783964175) ... | 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",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
0,
-0.5
] | 0.993521 | [
-1.5435690642332873,
-1.3972417071881398,
1.6059590783964175,
-1.0665142725491366,
0.6111672878365482,
-0.1119226496394643,
-0.49139838766546845,
0.6014682891336927,
-0.3679987992643881,
0.33092884969918057,
-0.19658386032209535,
0.11017040147676396,
0.21045782912511068,
-0.041443516117334... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
2094f2acbed5b66731131105b770d25b | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [14, 15], "expectation_value": -4.009725621198801, "params": [0.13870000000000002, -0.18660000000000002, 0.1317, -0.194, -0.0047, 0.1968, -0.0045000000000000005, 0.19290000000000002, 0.0004, 0.20270000000000002, -0.006200000000000001, 0.19740000000000002, -0.004200000000000001, 0.20400000000000001, 0.0001, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(5) + -1.0 * Z(7) + -... | 5 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.05935693553029532) q[0];
rz(0.07112394563121693) q[0];
rx(-0.23045540428428826) q[1];
rz(0.4184473913572724) q[1];
rx(-0.09833214695347678) q[2];
rz(0.32683125565212023) q[2];
rx(0.17883646336013367) q[3];
rz(0.1819020259898565) q[3];
rx(0.7163387243984086) 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": []} | [
"IIIIIIZZ",
"IIZIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIIZZI",
"IZIIIIZI",
"IZIIIZII",
"ZIIIZIII",
"IIIIZZII",
"IZIIZIII",
"IIIZIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
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,
0,
-1,
-1.5,
-1,
-1.5,
-0.5
] | 0.971149 | [
0.05935693553029532,
-0.035053489556173344,
-0.2304554042842882,
0.36540799664709944,
-0.09833214695347678,
0.1961848744613552,
0.17883646336013373,
0.2235242018146045,
0.7163387243984087,
-0.06578135831761102,
0.423331604588395,
0.09359654920455629,
0.807622992363191,
-0.00821180770876176... | {
"n_parameters": 79,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 17 |
0b0b04a33d6e01f6b27fc13148d89a51 | 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": [378, 362], "expectation_value": -62.15087950990069, "params": [1.4015, 0.3891, 0.5879, 0.7221000000000001, 1.4043, 0.0664, 1.3996000000000002, 0.41500000000000004, 0.8188000000000001, 0.5071, 1.4052, 0.3551, -0.0077, 0.7593000000000001, 1.3961000000000001, 0.21580000000000002, 0.003, 0.8465, 1.3908, 0.008, ... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 5.0 * Z(1) + 9.0 * Z(2) + 14.5 * Z(0) + 10.0 * Z(3) + 11.5 * Z(4) + 14.0 * Z(5) + -1.5 * Z(6) + 12.5... | 18 | 9 | 2 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.4033574784803715) q[0];
rz(0.06951350668522549) q[0];
rx(0.27814682432717847) q[1];
rz(0.97893174710093) q[1];
rx(1.673185849988617) q[2];
rz(-0.01590109435429054) q[2];
rx(1.9084228883910839) q[3];
rz(0.3128642386711954) q[3];
rx(0.3564472694114815) q[4];
rz(0.959... | 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",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
5,
9,
14.5,
10,
11.5,
14,
-1.5,
12.5,
-4
] | 0.972603 | [
1.4033574784803713,
0.4767294548455419,
0.27814682432717847,
0.97893174710093,
1.673185849988617,
-0.01590109435429054,
1.9084228883910839,
0.3128642386711954,
0.3564472694114815,
0.9596900051661456,
1.4154613672886285,
0.23159494619666146,
0.1026997950618185,
0.8782670999205301,
1.67682... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -75,
"target_ratio": 0.97,
"target_value": -72.75
} | 15 |
177860aeb0336e4d74e733a089b052c3 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [32509, 32445], "expectation_value": -19.423259527910464, "params": [-0.0039000000000000003, -0.0033, 1.1347, 1.4045, 1.3982, 1.7483000000000002, 1.5673000000000001, 1.5692000000000002, 1.4360000000000002, 1.7105000000000001, 1.7155, 1.4221000000000001, 1.5685, 1.5688, 0.0213, -0.0146, 1.9477, 1.1994, 2.1845... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(... | 14 | 16 | 1 | {"smallest_eigenvalues": [-20.499999999999876], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999987, "smallest_bitstrings": ["1000000101000010"], "largest_eigenvalue": 69.50000000000021} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.014243045464342475) q[0];
rz(pi/2) q[0];
ry(0.47339641759489615) q[1];
ry(0.9477409961268048) q[2];
ry(0.8530870530941135) q[3];
ry(0.6736094485826715) q[4];
ry(0.6301478108490435) q[5];
ry(0.6323208850188416) q[6];
ry(-0.07959944305288852) q[7];
ry(0.90841950821... | 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 2, "target": 3}, {"source": 2, "target": 1}, {"source": 3, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIZIIZII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
... | 0.972057 | [
-0.014243045464342475,
0.47339641759489615,
0.9477409961268048,
0.8530870530941135,
0.6736094485826715,
0.6301478108490435,
0.6323208850188416,
-0.07959944305288852,
0.9084195082130984,
0.10595333817837868,
0.8644001538004558,
0.7068495334682495,
0.9093136984371829,
0.7857326890626988,
0... | {
"n_parameters": 127,
"n_qubits": 16,
"optimal_eigenvalue": -20.499999999999876,
"target_ratio": 0.97,
"target_value": -19.884999999999877
} | 7 |
085ba3cf225b4dcc60b5adb0a9ccfea4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 426], "expectation_value": -68.41731283377902, "params": [0.38830000000000003, 0.29250000000000004, 0.9028, -0.0018000000000000002, 0.9061, 0.031900000000000005, 0.4838, 0.29450000000000004, 0.8953000000000001, 0.0007, 0.004200000000000001, -0.48350000000000004, 0.8952, 0.24700000000000003, 0.0056, 0.5... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(9)) + 4.0 * Z(0) + 14.5 * Z(2) + 22.0 * Z(1) + 9.0 * Z(3) + 7.5 * Z(4) + -4.0 * Z(5)... | 18 | 10 | 3 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.03151480074124021) q[0];
rz(0.916327367042955) q[0];
rx(1.4809201662609348) q[1];
rz(0.06366645059295661) q[1];
rx(1.6395760236990977) q[2];
rz(0.10516210031655018) q[2];
rx(0.09564276848297779) q[3];
rz(0.4808104413365908) q[3];
rx(1.3495440446270819) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIIZII",
"IIZZIIIIII",
"ZIIIIZIIII",
"IZIIIIIIZI",
"IZIIIIZIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
4,
14.5,
22,
9,
7.5,
-4,
0.5,
-3,
5,
14.5
] | 0.97731 | [
-0.03151480074124022,
0.936102887643081,
1.4809201662609348,
0.06366645059295661,
1.6395760236990977,
0.10516210031655018,
0.09564276848297779,
0.4808104413365908,
1.3495440446270819,
-0.272897898047769,
-0.08310537546559693,
-0.46058164446015987,
1.2883280825268162,
0.23675191689876507,
... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 18 |
bb51b85a8f0cca1e878093cb2d4e9f25 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [7, 11], "expectation_value": -0.21106589395518482, "params": [[-0.07390000000000001], [0.0707]], "bitstrings": ["111000", "110100"], "total_optimization_steps": 10, "probabilities": [0.01730861016787432, 0.01730861016787432], "optimization_time": 1.1148626804351807} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) 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] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"ZIIIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
0,
0
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
a81a167158580bb999f8e68ace712ae9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [122, 63], "expectation_value": -5.127794985485924, "params": null, "bitstrings": ["0000101", "1000000"], "total_optimization_steps": 52, "probabilities": [0.20957780762037564, 0.7042868365108161], "optimization_time": 50.67445087432861} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.0774828677495163) q[0];
h q[1];
ry(1.5548136672768265) q[1];
h q[2];
ry(1.5454980980603812) q[2];
h q[3];
ry(0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.2542960137412164) q[3];
h q[4];
ry(0.38183747534908374)... | 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(1.5706) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.5,
-0.5,
-0.5,
0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-0.25,
-0.25,
0.5
] | 0.970712 | [
1.5454980980603812,
1.5548136672768265,
1.5805648370330432,
0.7636749506981675,
1.8408249268008032,
0.43803001735649794,
-2.1549657354990326,
1.0310008163067323,
-0.7367755493342508,
-0.9093214752915146,
-0.022856653535134153,
0.2404702180227241,
-1.5901752397015083,
-0.031695334543764365,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 133 |
984069cd50d39f7e5d4b40fb03f5527d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 4}, {"weight": 16, "source": 1, "target": 5}, ... | {"states": [246, 118], "expectation_value": -56.28464527127878, "params": [0.5407000000000001, 0.319, 1.0724, -0.0024000000000000002, 1.0607, -0.0036000000000000003, 1.0742, 0.1704, 0.2665, 0.4978, 1.0723, -0.0155, 1.075, 0.1686, 0.4167, 0.3639, 0.5417000000000001, 0.2939, 1.0673000000000001, -0.015600000000000001, 1.0... | 4.0 * (Z(0) @ 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(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 14.0 * Z(2) + 16.0 * Z(3) + 4... | 18 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.013838034989187923) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(-0.013838034989187923) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[4];
rz(-0.013838034989187923) q[4];
cx q[5], q[4];
rz(-1.5521706... | 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",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
9,
14,
16,
4.5,
6.5,
10,
7
] | 0.975354 | [
-0.013838034989187923,
-1.5521706068876595,
1.493710746939856,
1.1584724105134467,
-1.7018112302469781
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 25 |
6af884d627ee37a45c35f4c485ec07d5 | 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": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [21, 61], "expectation_value": -3.9949433671033607, "params": null, "bitstrings": ["1101010", "1000010"], "total_optimization_steps": 38, "probabilities": [0.24539137776393896, 0.7475135603386809], "optimization_time": 29.300775051116943} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101110", "1101010", "1000010", "1111110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2129396642339767) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(-0.2129396642339767) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-1.5032141761943887) q[1];
cx q[3], q[1];
rz(-0.2129396642339767) q[1];
rx(-0.873748... | 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];\ncry(1.5486) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIZIII",
"IIIZIZI",
"IIZZIII",
"IIZIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII"
] | [
-0.25,
0.5,
-0.25,
-1.25,
-0.25,
-0.5,
-0.5,
-0.25,
0.5,
0.25,
-0.25,
-0.25,
0.5
] | 0.656065 | [
-0.2129396642339767,
0.823446126675711,
-1.5032141761943887,
-1.1053657754057873,
-0.24166154592351555,
-0.8737487988534467
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 173 |
a90bff6c3a417e74e2fa1e262b24b3f8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [18, 50], "expectation_value": -2.9984756045358623, "params": [[[-0.002, 0.9776, 0.0085, 0.0081], [0.0019, 0.9363, 1.4189, 0.0018000000000000002], [1.4895, -0.046, 1.4935, 0.006500000000000001], [1.0676, 1.46, 1.0556, 0.007500000000000001], [1.4997, 0.0016, -1.4913, 0.005], [1.5007000000000001, -0.0033, 1.50... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3)... | 11 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100101", "1001101", "1101001", "1010101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.04045280184155131) q[0];
rz(0.35284833551246164) q[0];
rx(0.6800423104352322) q[1];
rz(0.1724260761568442) q[1];
cx q[1], q[0];
rz(0.08370754730778537) q[0];
cx q[1], q[0];
rz(-1.2349642635385665) q[0];
ry(0.14766913975145737) q[0];
rz(2.2199450057045684) q[0];
rx(... | 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": []} | [
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIZZZI",
"IIZIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIZZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-1,
-0.25,
0,
-0.25,
-0.5,
-0.25,
-0.75
] | 0.976518 | [
0.04045280184155131,
0.43655588282024704,
0.6800423104352322,
0.1724260761568442,
0.5021650058220093,
0.4581258945893301,
0.7509600036017368,
0.1343410048462616,
0.2682866982145812,
0.27947313338427127,
0.5347990794540245,
0.03178389450383861,
-0.004626952685714808,
0.42768168383809035,
... | {
"n_parameters": 100,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
9b6c90aee56ab84919f7c826e678a024 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [23531, 23467], "expectation_value": -8.92192460031833, "params": [[[1.5659, -0.0024000000000000002, 0.00030000000000000003, 0.0031000000000000003], [0.0, 0.0152, 0.19110000000000002, 0.0031000000000000003], [0.9868, -0.0014, 0.0035, -0.0044], [0.0022, 0.1836, 1.0485, 0.0026000000000000003], [0.0023, -0.7004... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 12 | 15 | 2 | {"smallest_eigenvalues": [-9.499999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999986, "smallest_bitstrings": ["010010001010100"], "largest_eigenvalue": 28.500000000000128} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIIIIZIIZIII",
"IIIIIIIZIIZIIII",
"IIIIIIIIIIZZIII",
"IIIIIIZIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.5,
1.5,
... | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
00118ab6930cdbf8ae812be8d2492bc7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1834, 1886], "expectation_value": -1.1230100969043981, "params": [[[0.09570000000000001, -0.1268, 0.005200000000000001, 0.0076], [0.2157, 0.22360000000000002, 0.4968, 0.023200000000000002], [0.0884, -0.0252, 0.0145, 0.1463], [0.2132, 0.0007, 0.2806, -0.37210000000000004], [0.2449, 0.1661, 0.0674, 0.2126], [... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 11 | 12 | 4 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.04918376531928889) q[0];
rz(-0.3793966486121454) q[0];
ry(0.7827482198667217) q[1];
rz(0.660355275556797) q[1];
cx q[1], q[0];
ry(0.33401292012670686) q[0];
rz(-0.8093873712479307) q[0];
ry(0.5574529877503042) q[1];
rz(0.22712409290961155) q[1];
ry(0.158801706322... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZZII",
"IIIIIIZIZZII",
"IIIIIIZZIZII",
"IIIIIIZZZIII",
"IIIIIIZZZZII",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIIIIZIIIZII",
"IIIIZIIII... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625... | 0.971394 | [
-0.04918376531928889,
-0.3793966486121454,
0.7827482198667217,
0.660355275556797,
0.15880170632269322,
-0.27047486372946683,
0.04086639445358173,
-0.20757548156559666,
0.07150862175408089,
-0.42433686654348857,
-0.038547795345371345,
0.042652669316125304,
0.9860647482580898,
0.197570312199... | {
"n_parameters": 132,
"n_qubits": 12,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 169 |
f7c0ee1d4c77af9b2736662ef168c92d | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 24], "expectation_value": -10.216140601566298, "params": null, "bitstrings": ["11111", "00111"], "total_optimization_steps": 26, "probabilities": [0.1544529029734748, 0.6944471198783908], "optimization_time": 10.63685655593872} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(2) + -1.5 * Z(4) | 5 | 5 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.45152466802334346) q[0];
rz(1.4066147797774988) q[0];
rx(-0.07143626986274479) q[1];
rz(1.8533040800607736) q[1];
rx(-0.030778545034726844) q[2];
rz(1.5910727584465842) q[2];
rx(0.15712476886296356) q[3];
rz(2.0196619033152476) q[3];
rx(-0.3403221302148819) q[4];
r... | null | {"node": 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(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZZII",
"ZZIII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
-1,
-2,
-2,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.972686 | [
0.4515246680233434,
-0.1641815470173972,
-0.0714362698627448,
0.2825077532658756,
-0.030778545034726844,
0.020276431651687563,
0.15712476886296356,
0.4488655765203511,
-0.3403221302148819,
-0.34670949748275537,
-0.3200738175387166,
0.07153531278562773,
0.20466436245071123,
0.04228546784642... | {
"n_parameters": 71,
"n_qubits": 5,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 62 |
8aba1fe819f1a606a1aaa6ea801e6056 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [133, 165], "expectation_value": -4.809892648206657, "params": [0.2984, 0.0006000000000000001, 0.305, 0.0008, 0.0256, 0.17980000000000002, 0.018600000000000002, 0.1825, 0.2702, 0.0112, 0.26980000000000004, 0.0409, -0.014700000000000001, -0.1587, -0.016900000000000002, -0.1612, -0.0032, 0.1443, -0.0098, 0.148... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01011010"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.5591060425693835) q[0];
rz(-0.18094994673820652) q[0];
rx(-0.05232374484074145) q[1];
rz(0.07133001553984664) q[1];
cx q[1], q[0];
rz(0.2255313893914448) q[0];
cx q[1], q[0];
rz(1.5127053507583135) q[0];
ry(1.0254212716335263) q[0];
rz(-1.5696617410926006) q[0];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IZIIZIII",
"IZIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
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,
-2,
-1.5,
-1,
-1,
-1,
0
] | 0.974387 | [
0.5591060425693835,
0.04458144265323838,
-0.05232374484074145,
0.07133001553984664,
0.5413735914922622,
-0.05332221553066495,
0.035402513556681114,
0.13833583156379747,
-0.15930675930423435,
-0.010000555178066278,
0.5233892289128012,
0.1364931098013084,
-0.05987489700876278,
0.367483410378... | {
"n_parameters": 116,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
504aff5065c6904e02914f6b44da8a9c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [3, 15], "expectation_value": -7.689657391094376, "params": null, "bitstrings": ["111100", "110000"], "total_optimization_steps": 47, "probabilities": [0.14579950848333692, 0.7379678494460287], "optimization_time": 39.649362564086914} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.218465923766839) q[0];
ry(0.042765624136427545) q[0];
rz(-0.8061052524417334) q[0];
rz(-1.0112966743957195) q[1];
ry(0.07111683196512385) q[1];
rz(2.066693006610179) q[1];
rz(2.322581491682673) q[2];
ry(0.018049925652938198) q[2];
rz(-0.6171351577780197) q[2];
rz(-... | 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 \"stdgat... | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-1.25,
-0.5,
-1,
2,
-0.75,
-0.5,
-0.75,
-0.75,
-2.5,
-1,
-0.25,
1.5,
0.25,
0,
-0.5
] | 0.977881 | [
0.02681023544117119,
1.2949933238767635,
-0.04194887284367421,
1.1182076517744217,
0.012354700342274504,
1.5034941811146303,
1.3630154095874347,
-1.2292150948427067,
-0.139794753745842,
1.624751878363779,
0.02009940461632976,
0.11702147738122079,
-0.06360297258389466,
0.20187600412910067,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
-2144301067303883569 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5], [0, 3, 4, 7], [1, 2, 3, 4, 7], [0, 4, 5, 6], [1, 4, 6], [3, 6, 7], [1, 2, 5], [0, 1, 2, 3, 7], [1, 3, 5]]} | {"states": [233, 205], "expectation_value": -2.200052315901309, "params": null, "bitstrings": ["00010110", "00110010"], "total_optimization_steps": 43, "probabilities": [0.03742981766529297, 0.9272909826331259], "optimization_time": 73.88729953765869} | 0.21666666666666667 * (Z(2) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(3) @ Z(4)) + 0.1 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.13333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.2333333333333343], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2333333333333334, "smallest_bitstrings": ["00110010"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.02138766304001914) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(-0.0006334358188267043) q[5];
cx q[4], q[5];
cx q[2], q[5];
cx q[4], q[0];
rz(-0.0004148266912401572) q[0];
cx q[4], q[0];
cx q[4], q[3];
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(1.5385) 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[... | [
"IIIZIZII",
"IIZZIIII",
"IIZIIZII",
"IIIZIIIZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIIIZZII",
"IIZIZIII",
"IIIIZIIZ",
"ZIIZIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIIIZZI",
"IIZIIIZI",
"IIIIIIZZ",
"IIIIZIZI",
"ZIIIIIZI",
"IZIZIIII",
"IZZIIIII",
"IZIIIII... | [
0.21666666666666667,
0.25,
0.3333333333333333,
0.16666666666666666,
0.05,
0.08333333333333333,
0.13333333333333333,
0.1,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.1,
0.13333333333333333,
0.35,
0.21666666666666667,
0.26666666666666666,
0.3333333333333333,
0.05... | 0.970178 | [
-0.02138766304001914,
-0.0006334358188267043,
0.0021655138266660568,
-0.0004148266912401572,
-0.015624316836431394,
0.012217910381224002,
-0.013293335511788592,
0.0020603748671467826,
-0.4646647926972717,
-0.01592293117026933,
-1.5094291640030673,
-1.550745396161664,
1.6165797032075737,
-1... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -2.2333333333333343,
"target_ratio": 0.97,
"target_value": -2.166333333333334
} | 182 |
af93264774047777e82ba65bd04531e0 | 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": [473, 345], "expectation_value": -48.73881511564943, "params": [1.2257, 0.003, 2.311, 0.0025, 1.5419, 0.0095, 2.2986, 0.006900000000000001, 1.2710000000000001, 0.0073, 2.31, 0.0027, 2.3019000000000003, 0.0037, 1.2194, 0.0024000000000000002, 0.0022, 0.0045000000000000005, 2.3008, 0.008400000000000001, 0.00240... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(9) @ Z(0)) + 2.0 * Z(0) + 16.0 * Z(1) + 12.0 * Z(3) + 4.0 * Z(2) + 2.5 * Z(4) + 16.0 * Z(6)... | 18 | 10 | 1 | {"smallest_eigenvalues": [-95.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["1010100110"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2530206887704026) q[0];
rz(0.20734049513608888) q[0];
rx(3.2186772518823052) q[1];
rz(-0.18308413316365305) q[1];
rx(0.04618534662733201) q[2];
rz(0.04839925793040653) q[2];
rx(3.4736219431686957) q[3];
rz(1.0371795946740263) q[3];
rx(-0.2913728398171093) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZIIIZII",
"IIZZIIIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"ZIIIIIIIIZ",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IZIIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
2,
16,
12,
4,
2.5,
16,
2,
12,
-5,
2.5
] | 0.975544 | [
0.2530206887704026,
-0.060872387728685015,
3.2186772518823052,
-0.18308413316365305,
0.04618534662733201,
0.04839925793040653,
3.4736219431686957,
1.0371795946740263,
-0.2913728398171093,
0.0728826949005735,
3.033064887049312,
-1.1336166048239862,
3.037078390379068,
-0.34051466208290204,
... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -95,
"target_ratio": 0.97,
"target_value": -92.14999999999999
} | 20 |
a8c99ad184c02bf7f13319ba9d22eb58 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"sour... | {"states": [0, 15], "expectation_value": -15.394012951783466, "params": [0.0014, 0.8773000000000001, -0.002, 0.6352, 0.004, 0.9464, 0.0038, 0.859, -0.010100000000000001, 1.0875000000000001, 0.0022, 1.0769, -0.0068000000000000005, 0.304, 0.0001, 0.7441, 0.6468, 1.202, -0.042100000000000005, 1.0391000000000001, -0.5375, ... | 1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 1.5 * Z... | 6 | 8 | 4 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.058200692585709604) q[0];
rz(1.1536074517732615) q[0];
rx(-0.05320464735071337) q[1];
rz(2.9916774222293405) q[1];
rx(-0.0869520452951964) q[2];
rz(-2.7598713039206553) q[2];
rx(-0.06961078237795613) q[3];
rz(1.8794311396732049) q[3];
rx(1.0515006429022484) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IZIZIIII",
"ZZIIIIII",
"ZIIZIIII",
"IZZIIIII",
"IIZZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
1,
-2,
0.5,
-2.5,
-2,
0.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
-2,
-1.5,
1.5,
0.5,
0.5,
0.5,
0.5
] | 0.97262 | [
0.058200692585709604,
-0.41718887502163476,
-0.053204647350713376,
1.4208810954344449,
-0.08695204529519639,
1.9525176764640346,
-0.06961078237795615,
0.3086348128783069,
1.0515006429022484,
0.9387261317410205,
-0.5983236066789881,
-0.23366172667469243,
0.8349487785577835,
1.67199071961368... | {
"n_parameters": 157,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 323 |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [413, 245], "expectation_value": -0.8168049548373681, "params": [[-0.025500000000000002, -0.028800000000000003, -0.033800000000000004, -0.061200000000000004], [0.023100000000000002, 0.024200000000000003, 0.0304, 0.0538]], "bitstrings": ["001100010", "100001010"], "total_optimization_steps": 10, "probabilitie... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.815869706397565) q[0];
rz(-0.10266699916250133) q[0];
rx(2.938411203352395) q[1];
rz(-0.359908355829058) q[1];
rx(-0.027903752025837614) q[2];
rz(0.2181567296090501) q[2];
rx(3.0078051915562813) q[3];
rz(0.18559254664400454) q[3];
rx(0.33346172350010733) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"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
] | 0.97428 | [
3.467315600782021,
-0.08758761771970738,
2.938411203352395,
-0.359908355829058,
-0.027903752025837614,
0.2181567296090501,
3.0078051915562813,
0.18559254664400454,
0.33346172350010733,
0.007502932029881421,
3.1040264026485866,
0.08178816583284416,
0.10051399472175349,
-0.3883946671857684,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -1.532378113804602, "params": [[0.0756, 0.0776, 0.07060000000000001, 0.0693], [-0.0665, -0.07350000000000001, -0.0626, -0.058100000000000006]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.03306991302332818, 0.039583645292237665], "opt... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.1435948285215511e-07) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(1.1435948285215511e-07) q[1];
cx q[2], q[1];
rz(-0.5698699266786225) q[2];
rx(0.6578008209073697) q[2];
h q[3];
cx q[0], q[3];
rz(1.1435948285215511e-07) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.777778 | [
1.1435948285215511e-7,
-0.5698699266786227,
0.8976760148695336,
0.858764150438184,
0.6578008209073697,
-2.2179312215672304e-7,
-0.7323750322594127,
-0.1837825357866761,
-0.09561625248230032,
0.3664649548078836,
2.7031261787381847e-7,
-0.4507353837506744,
1.1904463292135272,
1.1313235119654... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 397 |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [34, 12], "expectation_value": -0.3309574982614082, "params": [[0.054400000000000004, 0.031, 0.0177], [-0.0487, -0.0351, -0.0223]], "bitstrings": ["011101", "110011"], "total_optimization_steps": 10, "probabilities": [0.018200067495800224, 0.018707819256554965], "optimization_time": 3.69895339012146} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["111100", "001111", "101011", "110011", "101110", "011101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3263252853866216) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3263252853866216) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3263252853866216) q[1];
cx q[1], q[0];
rz(-0.2868445573421025) q[0];
cx q[1], q[0];
cx q[2], q[1];
h 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIZII",
"IZZIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
-1
] | 0.67707 | [
0.3263252853866216,
-0.2868445573421025,
0.8549473281324195,
0.15280073471375832,
-0.09601834521733131,
0.07301194046511382,
-0.5945200247002729,
0.6127883089730268,
-0.7279343502043079,
1.0826034920116065,
0.3316483973775847,
-0.3459484728746911,
-0.416855612655761
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 280 |
a73d5144e4a0dbb06df04c44f8a80ad3 | 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": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [0, 799], "expectation_value": -27.519044395721927, "params": [-0.0045000000000000005, 2.2133000000000003, -0.0007, -0.2597, 0.0159, 0.8812000000000001, -0.1092, 0.6462, 0.3136, -0.036000000000000004, -0.4989, 1.5705, -0.0021000000000000003, 2.3489, 0.0007, 1.1922000000000001, -0.0033, 1.2388000000000001, 0.... | 1.5 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -... | 6 | 11 | 2 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["10011100000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.016240434373659882) q[0];
rz(-2.23742848534849) q[0];
rx(-0.5883216627178139) q[1];
rz(-1.5700546078988857) q[1];
rx(-2.7243642885824313) q[2];
rz(1.2192087958371474) q[2];
rx(0.029904488421956733) q[3];
rz(-2.436878461202106) q[3];
rx(-0.04019090876770859) 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] 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 fl... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IZIIZIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIIZI",
"IIIIIIIIZZI",
"ZIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIZIII... | [
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971283 | [
-0.016240434373659882,
2.4749604950361994,
-0.5883216627178139,
3.142334372485804,
-2.7243642885824313,
-0.35158753095775064,
0.029904488421956726,
2.2755105191825833,
-0.04019090876770859,
0.20324162957069417,
-0.04963837048813289,
1.2875710257338486,
-2.2753433571675465,
-0.1606791289036... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 132 |
9c58c5b77a3170e613a26f379fffeef6 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [25, 49], "expectation_value": -2.7965032293558947, "params": [[0.23470000000000002, 0.45580000000000004, 0.5559000000000001], [-0.5001, -0.23, -0.16920000000000002]], "bitstrings": ["100110", "001110"], "total_optimization_steps": 60, "probabilities": [0.1122889775618538, 0.11228897756185388], "optimization... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110", "100110"], "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(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIZIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0,
-0.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
159cd19d829ee4ab847c9545b38e61cb | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [331, 843], "expectation_value": -2.3961573795538396, "params": [[0.6851, 1.1007, 0.0879, 1.1002, 0.4481, -0.0284, 1.0659, -0.0026000000000000003, 1.0996000000000001, 0.9101], [0.1713, 0.6681, 0.079, 0.9518000000000001, 0.44780000000000003, 0.0269, 1.0671000000000002, -0.0025, 0.6608, 0.0849], [1.1048, 1.102... | 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(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(3) @ Z(5) @ Z(6)) + 0.125 * (Z(1) @ Z(7)... | 10 | 10 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["0010110100", "1000110100", "1010010100", "1000011100", "0011000110", "0100110100", "1000010101", "0011010100", "1000001110"], "largest_eigenvalue":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5023422340445511) q[0];
ry(-0.1078429799343566) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.4881456839634753) q[2];
h q[3];
ry(1.5290680296283448) q[3];
rz(-pi) q[4];
ry(-0.020911826634736206) q[4];
h q[5];
cx q[5], q[2];
ry(0.4881456839634753) q[2];
cx q[5], q[2];
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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIZZIIZ",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIZZIZIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZZIIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIZI",
"ZIZIIIIIZI"... | [
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,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
... | 0.995232 | [
-1.60784788215442,
-1.6238057458678041,
-1.3844327741504878,
1.5290680296283448,
1.5023422340445511,
-0.9762913679269506,
0.6568418144021216,
-0.4563619175761679,
0.6837342847004768,
-0.30196362952333927,
0.2802325564006584,
-0.06699568295955809,
-0.15704114542010444,
0.15024319719377785,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
9c58c5b77a3170e613a26f379fffeef6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [231, 118], "expectation_value": -28.194612110105133, "params": null, "bitstrings": ["00011000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.07864466703615744, 0.08762589898821103], "optimization_time": 157.74576830863953} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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[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",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
13.5,
5,
16.5,
19.5,
4.5,
17,
14.5,
11.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 7], "expectation_value": -12.815613227508058, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 61, "probabilities": [0.1500372955345014, 0.5932610212698615], "optimization_time": 82.60743188858032} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.09852088117442483) q[0];
rz(0.2464321943833836) q[0];
rx(0.013740361534353596) q[1];
rz(0.12256695080273028) q[1];
rx(0.05080481933461604) q[2];
rz(0.549588069015392) q[2];
rx(0.06690848796093422) q[3];
rz(0.38811176682309867) q[3];
rx(0.877826886335347) q[4];
rz(0... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.5,
-3.25,
-3,
-2.75,
-3
] | 0.972546 | [
0.09852088117442481,
0.29714743619100425,
0.013740361534353596,
0.1099884739568158,
0.050804819334616044,
0.589456889889742,
0.06690848796093424,
0.10021892232913784,
0.8778268863353469,
0.10725033732893174,
0.6196906577153632,
0.08294956462237285,
0.6366887474608689,
0.13202917432697883,
... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 12 |
a3571c19d72a014065614d323aff3379 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [29, 30], "expectation_value": -3.9998990634532334, "params": null, "bitstrings": ["100010", "100001"], "total_optimization_steps": 25, "probabilities": [1.641445737550844e-05, 0.9999303761353144], "optimization_time": 18.76922631263733} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIIZZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1,
0,
0
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
2cf21e97a82630236d89d22bffeb5611 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"sour... | {"states": [0, 163], "expectation_value": -3.3432411053232625, "params": [0.329, 0.0008, 0.1835, 0.0039000000000000003, 0.6117, 0.0024000000000000002, 0.6079, 0.0089, 0.6007, 0.0002, 0.37870000000000004, 0.0081, 0.6104, 0.0029000000000000002, 0.6014, 0.0092, 0.6016, -0.0031000000000000003, 0.5977, 0.001, 0.597, -0.0031... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(4) + ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.5, "smallest_bitstrings": ["101101001", "101011100", "101101100", "101011001", "100011110", "111100001", "111100100", "100101110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.02995455785819961) q[0];
rz(1.6903438352033255) q[0];
rx(2.105443348461794) q[1];
rz(1.5549955503035324) q[1];
rx(0.1564234956211253) q[2];
rz(1.9793228481393363) q[2];
rx(2.7925149619726914) q[3];
rz(1.3064622654496407) q[3];
rx(0.35669231625591663) q[4];
rz(1.378... | 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",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IZIIIIIIZ",
"IZIIIIZII",
"IIZIIIZII",
"IIIIZZIII",
"IIIZIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"IIIIIZIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5,
0
] | 0.976155 | [
0.029954557858199605,
0.11954750840842872,
2.105443348461794,
-0.01580077649136362,
0.15642349562112534,
0.40852652134444023,
2.7925149619726914,
-0.26433406134525583,
0.3566923162559167,
-0.1919729329940692,
0.5752649090345738,
0.06378472643802291,
-0.31523228202574843,
0.6312362573736682... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 78 |
600a12ed8acc1493d24fddbcbeff68c8 | 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": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [594, 83], "expectation_value": -13.167828609209794, "params": null, "bitstrings": ["0110101101", "1110101100"], "total_optimization_steps": 64, "probabilities": [0.116207758584159, 0.6788593783388926], "optimization_time": 119.40330600738525} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(8) @ Z(2)) + -1.25 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110", "1110101100", "1110101000", "1110100000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.10235181306663749) q[0];
rz(1.783960739796636) q[0];
rx(0.005196556850576228) q[1];
rz(1.7196693976995423) q[1];
rx(-0.15553266644044964) q[2];
rz(1.7036339359087265) q[2];
rx(0.16400003819464995) q[3];
rz(1.6254032971902408) q[3];
rx(-0.050327272690568525) q[4];
... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IZIIIIIZII",
"IZIIZIIIII",
"IZIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIZIZIIIII",
"IZZIIIIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
-0.5,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
-0.75,
-0.25,
-1.25,
-0.5,
2.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.75,
-1,
-0.75,
-0.25,
-0.25,
-0.5,
0.5,
-2.75,
1.75,
0.75,
1.25,
-0.75,
0.25
] | 0.972306 | [
0.10235181306663751,
0.2131644130017395,
0.005196556850576227,
0.14887307090464605,
-0.15553266644044964,
0.13283760911382933,
0.16400003819464992,
0.05460697039534368,
-0.050327272690568525,
0.25067395110619195,
-0.07275420580086236,
0.17206052977121183,
0.07721293223549788,
0.12953310071... | {
"n_parameters": 124,
"n_qubits": 10,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 9 |
305cc5dd5b277c9d8e7c7144880cc230 | 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": 0, "id": 8}, {"bipartite":... | {"states": [151, 1174], "expectation_value": -98.95168167638431, "params": [[[1.5727, 0.25370000000000004], [0.11220000000000001, 0.2543], [0.0727, -0.0756], [1.5766, 1.5779], [-1.5427000000000002, 1.5773000000000001], [-1.5299, 1.5749], [1.5768, 1.5751000000000002], [1.5773000000000001, 1.5752000000000002], [1.5779, 1... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + 4.5 * Z(1) + 9.5 * Z(0) + -5.0 * Z(2) + 8.0 * Z(3) + -4.5 * Z(5) + 14.5 * Z(... | 15 | 11 | 1 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.0, "smallest_bitstrings": ["01101101001"], "largest_eigenvalue": 151.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.9670921608757671) q[0];
ry(-0.04784001023659504) q[1];
ry(0.05596562329063298) q[2];
ry(1.1446252565878718) q[3];
ry(-0.06957192127213756) q[4];
ry(-0.11894487425974126) q[5];
ry(0.7174722203326112) q[6];
ry(0.14891664301763027) q[7];
ry(0.1169367294430232) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIZIIIIIIZI",
"IIZIZIIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"ZIIIIIIIIIZ",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIIZIIIIII",
"IIIIIIZII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
4.5,
9.5,
-5,
8,
-4.5,
14.5,
17,
-5,
12.5,
0.5,
8
] | 0.974457 | [
0.9670921608757671,
-0.04784001023659504,
0.05596562329063298,
1.1446252565878718,
-0.06957192127213756,
-0.11894487425974126,
0.7174722203326112,
0.14891664301763027,
0.1169367294430232,
1.2317927172144538,
0.07214449222355236,
0.986146920565417,
0.22834306042232877,
-0.08429343275130917,... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -126,
"target_ratio": 0.97,
"target_value": -122.22
} | 13 |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -5.675579468999118, "params": null, "bitstrings": ["111110", "110000"], "total_optimization_steps": 37, "probabilities": [0.17610784862410456, 0.6204813298798018], "optimization_time": 26.639753341674805} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(7.90274469494533e-08) q[0];
ry(-0.7853982620761846) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2293320178321785) q[2];
h q[3];
ry(0.7853981303022892) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7853981303022892) q[3];
cx q[4], q[3];
ry(0.6154797374613742) q[4];
cx q[3], q[4];
r... | 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(-1.5681) 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",
"IZIIIZ",
"IIIZZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-1.25,
-1.25,
1.25,
-0.75,
-1,
-0.25,
0,
0.25,
0.5,
0.5
] | 0.961538 | [
1.580548938989066e-7,
1.5707962936941358,
-1.5707964113743622,
1.5707962606045784,
1.2309594749227484,
2.458664035664357,
-6.36184063154341e-8,
-0.7758827152746062,
0.6829287142011918,
-0.7949136334328287,
-0.6410930540584571,
-0.852030693606311,
0.6410931018832451,
0.5966596957061975,
0... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 341 |
26b0c21f43e0914291253fccea754cb4 | min_cut | qaoa | {"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, 29], "expectation_value": -5.767227565510623, "params": [[-0.1441, -0.1051, -0.10690000000000001], [0.1749, 0.1489, 0.1631]], "bitstrings": ["111110", "100010"], "total_optimization_steps": 20, "probabilities": [0.11812022371113239, 0.15199302185152164], "optimization_time": 2.6592841148376465} | -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 | 3 | {"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... | 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": []} | [
"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 |
e104f31aaff273b4fa5fa538ba3fde4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [65, 1], "expectation_value": -0.5530906636789094, "params": [[0.08030000000000001], [-0.08750000000000001]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0028206851953399767, 0.0029576357269909823], "optimization_time": 2.5960872173309326} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + 1.75 * (Z(8) @ Z(0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["111111110", "110101110", "110111110", "111101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.6076297506325974) q[0];
h q[1];
ry(-1.6076297506325974) q[1];
h q[2];
ry(0.8499546938270016) q[2];
h q[3];
ry(-0.7671930836053993) q[3];
h q[4];
ry(1.6018454204968897) q[4];
cx q[4], q[2];
ry(-0.8499546938270016) q[2];
cx q[4], q[2];
h q[5];
ry(-0.62818338... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIZIII",
"IZIIIIZII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IZIIZIIII",
"IIIZZIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIZII",
"IZIIIIIII",
"... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1.75,
-0.5,
-1.25,
-0.25,
-0.25,
0,
1,
-1,
-1,
1.5,
1.25
] | 0.994358 | [
1.6018454204968897,
1.6849937422262258,
-1.6076297506325974,
1.6999093876540032,
-1.495596626319655,
-1.2563667617200651,
-1.5343861672107986,
-1.4299654093531273,
-0.07709111561543597,
-0.1327043613471936,
-0.14987038388116428,
-0.02359566448317256,
-0.12568951152613844,
-0.02849748278067... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
1745009073758707951 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 8], [0, 3], [0, 6], [9, 11], [1, 4], [2, 7], [8, 2], [0, 5], [8, 4], [3, 5], [0, 4], [11, 3], [9, 10], [8, 3], [3, 4], [8, 6], [5, 6], [10, 4], [2, 4], [9, 6], [10, 5], [4, 5], [8, 10], [11, 5], [8, 11], [9, 2], [2, 6], [4, 7], [0, 11], [10, 7], [6, 7... | {"states": [3970, 3843], "expectation_value": -8.111643293507097, "params": null, "bitstrings": ["000001111101", "000011111100"], "total_optimization_steps": 100, "probabilities": [0.03421959955909817, 0.8967223153401893], "optimization_time": 1373.969315290451} | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["111100000011", "000011111100"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.457881836223016) q[0];
h q[1];
ry(1.4427593576857551) q[1];
h q[2];
ry(1.4427593576857551) q[2];
h q[3];
ry(0.7514633109688608) q[3];
h q[4];
ry(-0.30591436913571324) q[4];
h q[5];
h q[6];
ry(-0.30591436913571324) q[6];
cx q[5], q[6];
ry(0.3059143691357132... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-1.0342) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIZIIIIIIIZ",
"IIIZIIIIZIII",
"IIIIIIIIZIIZ",
"IIIZIZIIIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIZIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"ZIIZIIIIIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIIIZIII",
"ZIIIIZIIIIII",
"ZIZIIIIIIIII",
"IIIIIZIIIIZI",
"IIIZIIIZIIII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"ZIIIIIIZI... | [
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,
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,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
... | 0.979757 | [
-0.6118287382714265,
1.4427593576857551,
-0.6310746896198769,
1.5760726344035074,
-1.3498397456751892,
1.457881836223016,
-1.7275626879525623,
1.6131091584736874,
-1.6834446289093619,
1.5029266219377215,
-1.6066244062152415,
0.3668352598581252,
-0.36353172494876373,
0.1591691758011254,
0... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 5 |
f77dd16494069058366da267be47f963 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [51, 58], "expectation_value": -0.6615141631139823, "params": [[-0.0016, -0.045700000000000005, -0.0592, -0.047900000000000005], [-0.06520000000000001, 0.0148, 0.057800000000000004, 0.0604]], "bitstrings": ["1001100", "1000101"], "total_optimization_steps": 10, "probabilities": [0.011782667526373141, 0.01207... | 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(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -2.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(3) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101", "1001100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4364564874160545) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.4364564874160545) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.4364564874160545) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8311764985536017) q[1];
rx(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",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZZIIII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-2,
-0.5,
-0.5,
0
] | 0.977573 | [
-0.4364564874160545,
-0.8311764985536005,
0.7400739315621497,
1.577334905899786,
0.6164885882326465,
0.06933608484642381,
0.4201811237717389,
-0.7524128290221637,
0.5325865577688524,
0.006837513518359015,
1.3875792949960601,
-0.2760496817855154,
0.5982010841664613,
0.5255744993731798,
0.... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 64 |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -5.299825697108741, "params": [[[-0.0033, 0.0088], [0.0026000000000000003, 0.009600000000000001], [0.0026000000000000003, 0.0071], [0.0023, 0.0073], [1.1579000000000002, 0.0021000000000000003], [0.0023, 0.0081], [0.0027, 0.0067], [1.604, 0.0017000000000000001]]], "bitstrings": ["... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "11111100", "11110110", "11110100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.16999686101045597) q[0];
ry(-0.7461488452616151) q[1];
rz(-pi) q[1];
ry(-0.08098995602078439) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.8918758604400108) q[3];
h q[4];
h q[5];
ry(-0.6909274773558883) q[5];
h q[6];
ry(1.6029270172358627) q[6];
h q[7];
cx q[7], 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] 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... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
0.25,
0.75,
0.75,
0.25
] | 0.970267 | [
-0.33999372202091194,
1.3129654467744951,
1.6029270172358627,
-0.6590546223712845,
0.18968510787131154,
-0.5503415377524958,
-1.7837517208800215,
-1.3818549547117767,
-1.0868611186790245,
-0.44875350089838817,
-0.10942090189840499,
0.17912767502386534,
-0.8058905041901756,
-0.0868358831952... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 24 |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -0.34717152503907783, "params": [[0.0635], [-0.0489]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0024290035375531425, 0.0025124092588254686], "optimization_time": 2.8557684421539307} | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6091848325332633) q[0];
h q[1];
ry(-1.588452627671235) q[1];
h q[2];
ry(-1.6276946459033956) q[2];
h q[3];
ry(-1.6276946459033956) q[3];
ry(-0.10662316151948092) q[4];
rz(-pi) q[4];
ry(-0.06371914567816628) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.627694645903395... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IZIIIIIII",
"... | [
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-1.5,
-0.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.25,
-0.25,
1,
0.5,
-2,
-0.5,
0.75
] | 0.971196 | [
-1.6276946459033956,
-1.2183696650665266,
1.3510578111873717,
-0.7713033139955954,
-1.366570324306977,
-1.4860400757306838,
-1.588452627671235,
-1.5667305303450199,
-0.19520568193687776,
-0.03553861133999609,
-0.04207421077209303,
-0.3488304077040262,
-0.07966413657683813
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 12 |
-9083996112783762460 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [2, 5, 6], [8, 3], [1, 5], [1, 2], [2, 4], [0, 4], [1, 3, 6], [0, 5, 6], [0, 6, 7], [8, 4], [4, 6]]} | {"states": [455, 335], "expectation_value": -1.894796642642404, "params": [[0.4797], [-0.3806]], "bitstrings": ["000111000", "010110000"], "total_optimization_steps": 50, "probabilities": [0.018070193383291043, 0.018091046291936766], "optimization_time": 1.9866831302642822} | 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.166... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["010110000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.054242400574015665) q[2];
cx q[5], q[2];
h q[6];
h q[7];
cx q[7], q[3];
rz(0.7073468000222594) q[3];
cx q[7], q[3];
cx q[7], q[6];
rz(0.054242400574015665) q[6];
cx q[7], q[6];
cx q[3], q[6];
rz(0.05424... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[3];
rz(x0) q[3];
cx q[7], q[3];
cx q[5], q[2];
rz(x1) q[2... | null | {"circuits": [], "gradients": []} | [
"IZIIIZIII",
"IIIZIIZII",
"IZZIIIIII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIZII",
"ZIIIIZIII",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZIZII",
"IIZIZIIII",
"ZIIIZIIII",
"IZIIIIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIIZIIIZ",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666663,
0.1666666... | 0.540406 | [
0.7073468000222594,
0.054242400574015665,
0.20973058785642487,
1.3379672464112151,
-0.20926121916356918,
-0.8062836402316588
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -4.000000000000001,
"target_ratio": 0.97,
"target_value": -3.880000000000001
} | 156 |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | 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": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [117, 93], "expectation_value": -15.163856849246411, "params": [[0.033800000000000004], [-0.10300000000000001]], "bitstrings": ["10001010", "10100010"], "total_optimization_steps": 20, "probabilities": [0.008988444113959057, 0.009575306511546113], "optimization_time": 2.007789373397827} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 139.5} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
-3,
15,
12,
17,
12.5,
5,
11.5
] | 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 |
1509180536527795082 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 0, 11, 4], [0, 10, 3, 4], [2, 4, 6], [8, 7], [0, 3, 12], [3, 5], [8, 1, 5, 0], [9, 11]]} | {"states": [7762, 7766], "expectation_value": -2.854090054470651, "params": [1.5721, 1.5731000000000002, 1.5650000000000002, 1.5709000000000002, 1.5795000000000001, 1.556, 1.5963, 1.5409000000000002, 0.1704, 0.1716, -0.0024000000000000002, -0.0024000000000000002, 1.5770000000000002, 1.5681, 0.0022, 0.0027, 1.5749, 1.57... | 0.16666666666666666 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(11) @ Z(0)) + 0.08333333333333333 * (Z(11) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(11)) + 0.08333333333333333 * (Z(10) @ Z(0)) + 0.08333333333333333 * (Z(10) @ Z(4)) + 0.25 * (Z(3... | 13 | 13 | 1 | {"smallest_eigenvalues": [-2.9166666666666665, -2.9166666666666665, -2.9166666666666665, -2.9166666666666665, -2.9166666666666665], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.916666666666666, "smallest_bitstrings": ["0001001011000", "0010010100111", "0000011100111", "0000110101001", "0011000011000"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.7348885371863376) q[0];
rz(0.42029742163967054) q[0];
ry(1.4397993009266) q[1];
ry(1.6908888711739198) q[2];
ry(1.5704572259377743) q[3];
ry(0.12675048442325115) q[4];
ry(0.039224263640483245) q[5];
ry(1.5012511773188202) q[6];
ry(0.13525629792179095) q[7];
ry(1.4... | 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": []} | [
"IIIIZIIIIIIIZ",
"IZIIIIIIIIIIZ",
"IZIIZIIIIIIII",
"IIIIIIIIZIIIZ",
"IIIIZIIIZIIII",
"IZIIIIIIZIIII",
"IIZIIIIIIIIIZ",
"IIZIIIIIZIIII",
"IIIIIIIIIZIIZ",
"IIIIIIIIZZIII",
"IIZIIIIIIZIII",
"IIIIIIIIZIZII",
"IIIIIIZIZIIII",
"IIIIIIZIIIZII",
"IIIIZZIIIIIII",
"ZIIIIIIIIIIIZ",
"ZIIIIIIIIZI... | [
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.... | 0.973615 | [
1.7348885371863376,
1.4397993009266,
1.6908888711739198,
1.5704572259377743,
0.12675048442325115,
0.039224263640483245,
1.5012511773188202,
0.13525629792179095,
1.4924943780034736,
0.062246764321972896,
0.8521462249454379,
1.55859541724066,
0.1646334091794235,
0.8405948432793411,
-0.0512... | {
"n_parameters": 49,
"n_qubits": 13,
"optimal_eigenvalue": -2.9166666666666665,
"target_ratio": 0.97,
"target_value": -2.8291666666666666
} | 1 |
d4f5f2b94c32a6a907c70f32afb819f2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [12, 204], "expectation_value": -2.895954573946856, "params": [0.5067, -0.001, 0.4989, 0.006900000000000001, 0.2854, 0.0476, 0.299, -0.0, 0.5038, -0.0048000000000000004, 0.5067, -0.0206, 0.3332, -0.11320000000000001, 0.09090000000000001, 0.1948, 0.5071, 0.0033, 0.5064000000000001, -0.0043, 0.2433000000000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(6) + -0.5 * Z(0) + -1.0 * Z(7) + -1.0 * Z(2) + -0.5 * Z(1) + -1.0 * Z(3) + -1.0 * Z(4) + -0... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["00110011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.22855309577496752) q[0];
rz(-0.5059886500307152) q[0];
ry(0.3832023568251272) q[1];
rz(-1.0247757500368895) q[1];
cx q[1], q[0];
ry(0.3237890681233404) q[0];
rz(0.05653867319211378) q[0];
ry(0.028720882037835606) q[1];
rz(0.28764896141481755) q[1];
ry(-0.2164107309... | 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": []} | [
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIIZZI",
"IIIIZIZI",
"ZIIZIIII",
"IIIZIZII",
"IIIZZIII",
"IZZIIIII",
"IIZIZIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"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,
-1,
-1,
-0.5,
-1,
-1,
-0.5
] | 0.971502 | [
0.22855309577496752,
-0.5059886500307152,
0.3832023568251272,
-1.0247757500368895,
-0.21641073093662644,
-0.5128279112677481,
0.014169051825380901,
0.06973588588119262,
0.6121007319735758,
-0.16958262009015002,
0.185275548014747,
-0.0008813938926474363,
0.3446567743748129,
0.16588406227409... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 129 |
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": [551, 549], "expectation_value": -45.382104518966635, "params": [[[0.9705, 0.006500000000000001], [0.5817, 0.30360000000000004], [-0.0032, -0.6768000000000001], [0.0018000000000000002, 0.9061], [1.1984000000000001, 0.0024000000000000002], [0.0025, 0.8618], [0.0077, -0.5785], [1.2056, 0.0027], [0.7214, 0.2366... | 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)) + 3.5 * Z(1) + -5.0 * Z(0) + -8.0 * ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-65.0, -65.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -60.0, "smallest_bitstrings": ["0111010100", "0111011010"], "largest_eigenvalue": 90.0} | 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] 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",
"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,
3.5,
-5,
-8,
3,
-7.5,
-7.5,
-8.5,
-2,
5.5,
8
] | 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 |
5237378684268299322 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 7, 9, 11], [2, 4, 8, 9, 10], [0, 3, 4, 5, 7], [8, 5], [2, 10, 11], [6, 7, 8, 11, 12], [11, 1, 10, 3], [0, 11, 12, 7], [0, 3, 5, 6, 12], [1, 2, 8, 9, 12], [10, 4, 12], [9, 2, 4, 1], [0, 8, 3], [10, 2, 5], [0, 6, 7], [3, 4, 8, 10, 11], [0, 2, 5],... | {"states": [5933, 6061], "expectation_value": -8.797794260801908, "params": [1.5684, 1.5694000000000001, 0.0703, 0.07400000000000001, 1.5692000000000002, 1.5798, 1.5691000000000002, 1.5677, 1.5864, 1.56, 0.8491000000000001, 0.8467, -0.0066, -0.0071, 1.5492000000000001, 1.5961, 0.0211, 0.019, 1.5694000000000001, 1.5665,... | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(2)) + 0.39999999999999997 * (Z(7) @ Z(0)) + 0.2833333333333333 * (Z(9) @ Z(2)) + 0.35 * (Z(9) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(7)) + 0.3833333333333333 * (Z(11) @ Z(2)) + 0.35 * (Z(11) @ Z(0)) + 0.18333333333333335 * (Z(11) @ Z(7)) + 0.05 * (... | 13 | 13 | 1 | {"smallest_eigenvalues": [-9.13333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.833333333333329, "smallest_bitstrings": ["0100001010010"], "largest_eigenvalue": 41.49999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.4300346309801772) q[0];
rz(0.057854168432155836) q[0];
ry(-0.010529804913854513) q[1];
ry(1.592542961786194) q[2];
ry(1.6233676641158543) q[3];
ry(1.7052310899193084) q[4];
ry(1.1004907222525577) q[5];
ry(0.04946300652285921) q[6];
ry(1.3737099106919832) q[7];
ry(... | 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": []} | [
"IIIIIIIIIIZIZ",
"IIIIIZIIIIZII",
"IIIIIZIIIIIIZ",
"IIIZIIIIIIZII",
"IIIZIIIIIIIIZ",
"IIIZIZIIIIIII",
"IZIIIIIIIIZII",
"IZIIIIIIIIIIZ",
"IZIIIZIIIIIII",
"IZIZIIIIIIIII",
"IIIIIIIIZIZII",
"IIIIIIIIZIIIZ",
"IIIIIZIIZIIII",
"IIIZIIIIZIIII",
"IZIIIIIIZIIII",
"IIIIZIIIIIZII",
"IIIIZIIIIII... | [
0.21666666666666667,
0.18333333333333335,
0.39999999999999997,
0.2833333333333333,
0.35,
0.3333333333333333,
0.3833333333333333,
0.35,
0.18333333333333335,
0.05,
0.3833333333333333,
0.4666666666666667,
0.26666666666666666,
0.26666666666666666,
0.3833333333333333,
0.31666666666666665,
... | 0.977032 | [
1.4300346309801772,
-0.010529804913854513,
1.592542961786194,
1.6233676641158543,
1.7052310899193084,
1.1004907222525577,
0.04946300652285921,
1.3737099106919832,
-0.09917076266908165,
1.5196610578270293,
1.5313002528911577,
-0.10114413211295382,
1.6205296891507546,
0.11570833686431167,
... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -9.13333333333333,
"target_ratio": 0.97,
"target_value": -8.859333333333328
} | 7 |
-1863560782430783095 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3, 4, 6, 7, 8, 9], [0, 2, 3, 4, 6, 7, 8, 10], [1, 2, 4, 5, 7, 8, 9, 11], [1, 4, 5, 6, 7, 9], [3, 9, 11], [0, 2, 4, 5, 8, 10], [0, 4, 5, 6, 7, 8, 10, 11], [1, 2, 3, 5, 6, 7, 8, 10], [2, 3, 4, 5, 6, 8, 10, 11], [0, 1, 2, 3, 4, 7, 8, 10, 11], [0, 1, 2, 5... | {"states": [3547, 1499], "expectation_value": -3.7753778345037126, "params": [[[1.5688, 0.0036000000000000003, 0.00030000000000000003, 0.0025], [0.0025, -0.30060000000000003, 1.5738, 0.0021000000000000003], [1.1662000000000001, 0.0058000000000000005, 0.0019, 0.002], [0.0019, -0.43410000000000004, 1.5727, 0.0089], [2.79... | 0.09722222222222221 * (Z(1) @ Z(3)) + 0.1373015873015873 * (Z(4) @ Z(3)) + 0.15555555555555553 * (Z(4) @ Z(1)) + 0.13293650793650794 * (Z(6) @ Z(3)) + 0.18333333333333332 * (Z(6) @ Z(1)) + 0.19126984126984126 * (Z(6) @ Z(4)) + 0.10515873015873015 * (Z(7) @ Z(3)) + 0.2091269841269841 * (Z(7) @ Z(1)) + 0.223015873015873 ... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.008333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0059523809523805, "smallest_bitstrings": ["101000100100"], "largest_eigenvalue": 20.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.4059962754775956) q[0];
rz(0.18007455751110446) q[0];
ry(0.07910349780891372) q[1];
rz(-0.330837883192708) q[1];
cz q[1], q[0];
ry(-3.000003886915272) q[1];
ry(0.7150053024820705) q[2];
rz(0.2801942610922821) q[2];
ry(0.25880008192807835) q[3];
rz(-0.2964868251177... | 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": []} | [
"IIIIIIIIZIZI",
"IIIIIIIZZIII",
"IIIIIIIZIIZI",
"IIIIIZIIZIII",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"IIIIZIIIZIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIIZI",
"IIIZIIIZIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIZIIIIIZIII",
"IIZIIIIIIIZI",
"IIZIIIIZI... | [
0.09722222222222221,
0.1373015873015873,
0.15555555555555553,
0.13293650793650794,
0.18333333333333332,
0.19126984126984126,
0.10515873015873015,
0.2091269841269841,
0.223015873015873,
0.2091269841269841,
0.19246031746031744,
0.17579365079365075,
0.2091269841269841,
0.17976190476190473,
... | 0.970868 | [
1.4059962754775956,
0.18007455751110446,
0.07910349780891372,
-0.330837883192708,
0.7150053024820705,
0.2801942610922821,
0.25880008192807835,
-0.2964868251177248,
2.9256546144604383,
-0.1985871534609856,
-0.10950597738251634,
0.6818972946807891,
0.4558638110188151,
-0.05140086671268747,
... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -4.008333333333333,
"target_ratio": 0.97,
"target_value": -3.888083333333333
} | 6 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [11, 22], "expectation_value": -0.05989013190780951, "params": [[0.0626], [-0.048400000000000006]], "bitstrings": ["110100", "101001"], "total_optimization_steps": 10, "probabilities": [0.016581838210576856, 0.016581838210576856], "optimization_time": 0.9781334400177002} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIIZ",
"IZIIIZ",
"IIIZZI",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
3818ce8f8ec333f1e3cdd221545ea640 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [36, 165], "expectation_value": -1.8697743093006813, "params": [[[1.5757, -0.6561], [-0.066, -0.657], [2.1117, 0.1831], [0.39640000000000003, 0.20320000000000002], [0.28350000000000003, -0.31930000000000003], [1.6307, 1.5171000000000001], [1.5531000000000001, 1.3574000000000002], [1.5744, -1.5541]]], "bitstr... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 15 | 8 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.125, "smallest_bitstrings": ["10100101", "00101101", "10000111", "01101001", "01011010", "01001011", "00011110", "10010110"], "largest_eigenvalue": 6.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2759233039205356) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2759233039205356) q[2];
cx q[0], q[2];
rz(0.8844402004995073) q[0];
rx(-0.1341396366104166) q[0];
h q[3];
cx q[2], q[3];
rz(0.2759233039205356) q[3];
cx q[2], q[3];
h ... | 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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIZZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"ZIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.125,
-0.125,
-0.125,
-0.125,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970097 | [
0.2759233039205356,
-0.42938787334870315,
0.8844402004995082,
-0.8144200522888211,
0.2801413587704371,
-0.8114055882673806,
-0.6665407615679289,
-1.1405939395508837,
-0.13413963661041667,
-0.22536789211031555,
-1.1314300218673012,
0.5384084427806397,
-0.5755834086541328,
0.4727379585036260... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 49 |
7131048945494205798 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 5], [0, 1, 4], [1, 2, 3, 4], [3, 4, 5]]} | {"states": [27, 46], "expectation_value": -0.48355401819998595, "params": [[0.3708], [-0.36460000000000004]], "bitstrings": ["100100", "010001"], "total_optimization_steps": 40, "probabilities": [0.028928011314263508, 0.029288800871234484], "optimization_time": 1.6245803833007812} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.1666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0833333333333333, "smallest_bitstrings": ["010001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.2854327530445976) q[1];
cx q[0], q[1];
ry(0.2854327530445976) q[1];
cx q[0], q[1];
ry(0.8166560780496365) q[0];
ry(-0.18533708925144138) q[1];
ry(-2.33684256194539) q[2];
rz(-pi) q[2];
ry(-2.60544043514918) q[3];
rz(-pi) q[3];
h q[4];
ry(1.45661324... | 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[2], q[3];
rz(x1) q[3];
c... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIIIZZ",
"IIZIZI",
"IZIZII",
"IZIIIZ",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.25,
0.24999999999999994,
0.29166666666666... | 0.98064 | [
1.4566132468717579,
0.8487064857361039,
0.37187524523635923,
-0.5925893517368693,
-0.5708655060891952,
0.5863302424316268,
-0.47947660417114857,
-0.37067417850288276,
0.46065167123601936,
-0.6319911245219386,
0.2788067187834316,
-0.2813500840182352,
0.15371102099433775,
0.5396654790482727,... | {
"n_parameters": 26,
"n_qubits": 6,
"optimal_eigenvalue": -1.1666666666666665,
"target_ratio": 0.97,
"target_value": -1.1316666666666666
} | 1 |
c207a7b4cd3f0efb0fa44764eec6604a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 2, "target": 1}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 5, "so... | {"states": [6647, 6615], "expectation_value": -42.51519304358317, "params": [1.3981000000000001, 0.0014, 1.3972, 0.0022, 0.0028, 1.0278, 0.0028, 1.0243, 1.3927, 0.003, 1.3929, -0.0026000000000000003, 1.4029, 0.021500000000000002, 1.0636, 0.8766, 1.3193000000000001, 0.8248000000000001, 0.20670000000000002, 0.8232, 1.394... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ ... | 18 | 13 | 2 | {"smallest_eigenvalues": [-45.33333333333333, -45.33333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -44.5, "smallest_bitstrings": ["0011000110000", "0011000101000"], "largest_eigenvalue": 156.66666666666669} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.03919900404802914) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.26038955357752364) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.12295043049294087) q[5];
cx q[0], q[5];
h q[6];
cx q[4], q[6];
rz(0.0080972549082... | 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIIZ",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIIIZIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIZIIIIIZIIII",
"IIZIIIIZIIIII",
"IIZIIIZIIIIII",
"IIZIIIIIIIZ... | [
0.5,
2,
1,
3,
1.5,
6,
1,
0.8333333333333334,
2,
3,
-0.5,
-1,
-1.5,
-0.5,
-1,
-1.5,
0.5,
-1,
-2,
-3,
1,
2,
-1,
-2,
-3,
1,
2,
4,
-1,
-2,
-3,
0.8333333333333334,
1,
2,
2,
0.5,
1,
1.5,
-0.5,
-0.5,
-1,
-1,
-1,
1,
2,
3,
-1,
-1,
... | 0.905976 | [
0.03919900404802914,
0.26038955357752364,
0.12295043049294087,
0.008097254908228992,
0.027479073566993174,
0.09066750514128945,
0.05034812036080168,
0.05893931162781403,
0.000643074169123192,
-0.0879529644722815,
-0.03821017457563514,
-0.1332070244658603,
0.19942511798644225,
1.05719982605... | {
"n_parameters": 60,
"n_qubits": 13,
"optimal_eigenvalue": -45.33333333333333,
"target_ratio": 0.97,
"target_value": -43.97333333333333
} | 500 |
ee130eef56892e0a3466cb6032d4dab5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [84, 86], "expectation_value": -2.1402790112169616, "params": [0.0333, 0.0025, 1.7043000000000001, 0.0086, 1.4664000000000001, 0.0044, 1.6549, 0.0088, 0.0483, 0.0099, 1.7058, 0.0097, 1.6516000000000002, 0.0068000000000000005, 1.4734, 0.0022, 0.0017000000000000001, 0.0092, 0.0029000000000000002, 0.00450000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(6) + -0.5 * Z(7) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 3 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["01001011", "10111000", "10101001", "10011010", "10001011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.050776112181411495) q[0];
rz(0.8290518760439038) q[0];
rx(3.1293759779298456) q[1];
rz(-1.2684304432340001) q[1];
rx(-0.17409690536701591) q[2];
rz(1.5375286662756817) q[2];
rx(2.7079330543445663) q[3];
rz(1.7176376671774012) q[3];
rx(0.03865753916287144) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIZIIZI",
"IZIIIZII",
"IIIZIZII",
"ZIIIZIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
0,
0
] | 0.973561 | [
-0.050776112181411495,
0.9388609780271672,
3.1293759779298456,
-0.9556365194446697,
-0.17409690536701594,
0.7152225581947209,
2.7079330543445663,
1.149338164699658,
0.03865753916287144,
-0.9156512339024577,
2.9007445744176183,
-0.7541561040932474,
3.3060918455699775,
-1.151206851089792,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
bcb76a333f49b2c8c8530ea62fdc7628 | matching | 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}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [102, 118], "expectation_value": -54.44176555391368, "params": [0.4898, 0.2866, 0.9895, 0.0555, 0.9953000000000001, -0.0829, 0.6126, -0.1197, 0.001, 0.649, 0.9963000000000001, 0.0041, 0.9967, 0.1527, 0.0032, 0.6736000000000001, 0.4923, 0.2636, 0.9898, 0.0363, 0.9966, -0.07250000000000001, 0.6193000000000001,... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(7)) + 10.0 * Z(0) + 16.0 * Z(2) + 11.5 * Z(3) + 18.5 * Z(1) + 10.0 * Z(5) + -2.0 * Z(4) + -4.5 * Z(7) + 3.5 * Z(6) | 18 | 8 | 3 | {"smallest_eigenvalues": [-62.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 119.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.053362792367398035) q[0];
rz(-0.5043835518520381) q[0];
rx(1.63221313760042) q[1];
rz(-0.09437041056258684) q[1];
rx(1.4666239969289698) q[2];
rz(-0.009343113334094981) q[2];
rx(1.606395015215744) q[3];
rz(-0.021298915418036704) q[3];
rx(-0.15554392522504257) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIZIIIZI",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
10,
16,
11.5,
18.5,
10,
-2,
-4.5,
3.5
] | 0.98922 | [
0.053362792367398035,
-0.22989340840177214,
1.63221313760042,
-0.09437041056258684,
1.4666239969289698,
-0.009343113334094981,
1.606395015215744,
-0.021298915418036704,
-0.15554392522504257,
0.9224628233432268,
1.3853678885863374,
0.038595597528169046,
1.5049398105012395,
0.098302277011244... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -62,
"target_ratio": 0.97,
"target_value": -60.14
} | 14 |
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