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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
96ad00ceee3f9c4e7577fb22d2b67779 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [154, 218], "expectation_value": -40.16810511822339, "params": null, "bitstrings": ["101100101", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09375692448695085, 0.2068702820557305], "optimization_time": 195.54534220695496} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.08791191676338868) q[0];
ry(-0.33754507559349983) q[1];
rz(-pi) q[1];
h q[2];
ry(-23.54483630508895) q[2];
h q[3];
ry(14.060833410252924) q[3];
rz(-pi) q[4];
ry(-0.9826654190681591) q[4];
rz(-pi) q[5];
ry(-0.3059806607972074) q[5];
cx q[2], q[5];
ry(-4.691... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-23.4164) 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] =... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17,
0.5,
14.5,
12,
3,
14.5,
5,
11.5,
5
] | 0.970321 | [
-23.54483630508895,
-1.7344826067047194,
49.980197664918016,
9.383386224212316,
-6.271914019307241,
10.912726493420333,
29.956408283445157,
23.264278099504317,
38.151645845580276,
34.638908360457215,
0.779602309158077,
14.060833410252924,
33.81330841654803,
0.2555633208025561,
-0.0449921... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 104 |
520b4019fb4986d4ab684733a5ebe8d8 | 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": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [249, 220], "expectation_value": -28.837153243403005, "params": [[-0.0409, -0.0034000000000000002, 0.0057, 0.0081], [0.0742, 0.061200000000000004, 0.0558, 0.058]], "bitstrings": ["100000110", "100100011"], "total_optimization_steps": 10, "probabilities": [0.012671167969499708, 0.01411270660081453], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.4463129710864574) q[0];
rz(-pi) q[1];
ry(-1.2426624200713647) q[1];
ry(-1.1969951662422582) q[2];
rz(-pi) q[2];
h q[3];
ry(1.295402841617871) q[3];
rz(-pi) q[4];
ry(-1.09230066430897) q[4];
ry(-1.0797131317453423) q[5];
rz(-pi) q[5];
h q[6];
ry(7.916716500... | 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",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
3,
13.5,
13,
9,
10,
12.5,
6.5,
5
] | 0.970481 | [
62.424019866519146,
62.83252087601606,
37.4514583039102,
7.916716500547319,
62.899917161244026,
-5.327529590648128,
17.8716104702074,
-0.4868593117644719,
-3.671026591069804,
2.913608838439612,
-13.419835438932315,
14.092630322700535,
2.590805683235742,
-1.140616245352763,
0.271174301315... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 50 |
4728709783523296323 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 6], [4, 6], [2, 5], [0, 5], [1, 3], [3, 4], [3, 6], [2, 3], [1, 2], [2, 6], [3, 5], [5, 6]]} | {"states": [54, 38], "expectation_value": -2.1424650645474026, "params": null, "bitstrings": ["1001001", "1011001"], "total_optimization_steps": 51, "probabilities": [0.04670919635056687, 0.6587257431043975], "optimization_time": 54.23638868331909} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001011", "1110100", "1011001", "0110110", "0101010", "1011100", "0100011", "0100110", "1001001", "1010101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.45305169247121896) q[4];
cx q[5], q[4];
h q[6];
cx q[5], q[6];
rz(0.45305169247121896) q[6];
cx q[5], q[6];
cx q[4], q[6];
cx q[5], q[2];
rz(0.45305169247121896) q[2];
cx q[5], q[2];
cx q[5], q[0];
rz(0... | 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[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IZIIIIZ",
"IZIZIII",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.535202 | [
0.45305169247121896,
1.1280119820141807e-8,
-0.582516622189749
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 88 |
8732464698204845961 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 4, 6], [1, 2, 5], [0, 5], [2, 3, 5], [0, 1, 2], [1, 2, 3], [1, 4, 5]]} | {"states": [51, 47], "expectation_value": -2.278526263382502, "params": null, "bitstrings": ["1001100", "1010000"], "total_optimization_steps": 43, "probabilities": [0.03262123816387917, 0.882391657699489], "optimization_time": 54.143946409225464} | 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.33333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["1010000"], "largest_eigenvalue": 7.0} | 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[2];
rz(-0.7609803600751135) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(-0.0854060585548467) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(-0.0854060585548467) q[0];
cx q[2], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.0854060585548... | 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(1.5298) 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", "... | [
"IIZIZII",
"IIZIIIZ",
"IIIIZIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIIIZZI",
"IIIIIZZ",
"IZZIIII",
"IZIIZII",
"IZIIIIZ",
"IZIIIZI",
"IIIZZII",
"IIIZIZI",
"IZIZIII",
"IIZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.33333333333333326,
... | 0.532372 | [
-0.7609803600751135,
-0.0854060585548467,
-0.20716822558498751,
-0.5646845560659342,
0.7593245790859141
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 120 |
5002771af8ab63b110804502fc9ce537 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 5, "source": ... | {"states": [4095, 2047], "expectation_value": -20.254687194113625, "params": [[[0.0019, 0.1155], [-0.0077, -0.002], [-0.0033, -0.0029000000000000002], [0.0047, 0.0028], [-0.0029000000000000002, 0.0029000000000000002], [-0.0011, -0.0027], [0.006200000000000001, 0.0024000000000000002], [0.0068000000000000005, 0.0022], [0... | -0.25 * (Z(0) @ Z(9)) + -0.75 * (Z(11) @ Z(9)) + -0.75 * (Z(11) @ Z(0)) + -1.25 * (Z(4) @ Z(9)) + -1.25 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(11)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(8) @ Z(11)) + -0.25 * (Z(8) @ Z(1)) + -1.0 * (Z(10) @ Z(9)) + -0.75 * (Z(10) @ Z(1)) + -1.25 * (Z(10) @ Z(5)) + 1.25... | 15 | 12 | 2 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.07668747836719753) q[0];
ry(-0.05319440852361208) q[1];
ry(2.4844127489851786e-05) q[2];
ry(0.12521320688554413) q[3];
ry(0.0642441862544666) q[4];
ry(-0.015259182580860994) q[5];
ry(0.24645126367012343) q[6];
ry(-0.15541897232220886) q[7];
ry(-0.05312775752947951... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZ",
"ZIZIIIIIIIII",
"ZIIIIIIIIIIZ",
"IIZIIIIZIIII",
"IIIIIIIZIIZI",
"IIZIIIZIIIII",
"ZIIIIIZIIIII",
"IIIIIIZIIIZI",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IZZIIIIIIIII",
"IZIIIIIIIIZI",
"IZIIIIZIIIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIZIZIII",
"IIIZIIIIZIII",
"IZIIIIIIZ... | [
-0.25,
-0.75,
-0.75,
-1.25,
-1.25,
-1.25,
-0.25,
-1.5,
-0.5,
-0.25,
-1,
-0.75,
-1.25,
1.25,
-0.25,
-1,
-1,
-0.25,
-1,
-0.75,
-0.25,
-0.5,
-1,
-0.75,
-1.25,
-1,
-1.25,
-1,
-0.25,
0.75,
-0.5,
3.5,
-4,
0.25,
-1.25,
-1.25,
2,
1.5,
0.25
] | 0.970212 | [
0.07668747836719753,
-0.05319440852361208,
0.000024844127489851786,
0.12521320688554413,
0.0642441862544666,
-0.015259182580860994,
0.24645126367012343,
-0.15541897232220886,
-0.05312775752947951,
0.011888160685528736,
0.020408517664050545,
1.9802806092557548,
0.19904977421209524,
0.054498... | {
"n_parameters": 40,
"n_qubits": 12,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 43 |
7afc16820e80f9ff38487d4737c6b4ad | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [246, 182], "expectation_value": -74.94964842668702, "params": [1.7904, -0.0027, 2.8631, 0.0037, 2.8906, 0.7957000000000001, 2.8791, 0.0034000000000000002, 2.8866, 0.0037, 2.9004000000000003, 1.229, 2.8674, -0.0035, 2.9025000000000003, 0.23500000000000001, 0.4863, 0.0073, -1.7838, 0.2899, 1.8873000000000002,... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + -3.0 * Z(0) ... | 4 | 9 | 1 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06078934848972714) q[0];
rz(0.3440169291461359) q[0];
rx(0.1686371446574001) q[1];
rz(-0.45755136893257475) q[1];
rx(-0.40109356807666746) q[2];
rz(-0.0005748198450810094) q[2];
rx(0.7421075013295217) q[3];
rz(-0.3281553509892112) q[3];
rx(0.3809463555792857) 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIIIIZZII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-3,
19.5,
20.5,
12,
8,
4,
15.5,
13.5,
9
] | 0.974159 | [
-0.06078934848972714,
0.39794893072806303,
0.1686371446574001,
-0.13877685765296732,
-0.40109356807666746,
-0.2661933752040481,
0.7421075013295217,
-0.4304980650910389,
0.3809463555792858,
0.0762564394950367,
0.29325606757125827,
0.18293490476311136,
0.4656961348628891,
0.07288474059729982... | {
"n_parameters": 133,
"n_qubits": 9,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 91 |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [82, 89], "expectation_value": -3.0081617359338577, "params": null, "bitstrings": ["0101101", "0100110"], "total_optimization_steps": 39, "probabilities": [0.05651695491284668, 0.8490176077116037], "optimization_time": 37.81970429420471} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ 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(2) @ Z(5)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | 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(-1.5486) 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",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.75,
0,
-0.25,
-0.5,
0,
-0.25
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
-6589031047479822628 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 4, 7, 9], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [0, 1, 4, 5, 11], [1, 2]]} | {"states": [1823, 1887], "expectation_value": -0.9215767470446703, "params": [0.6972, 0.6917, 1.5008000000000001, 1.4972, 1.491, 1.4864000000000002, 1.357, 1.3371, 0.18180000000000002, 0.1854, 0.8086, 0.8606, 0.6897, 0.6975, 1.3356000000000001, 1.3386, 1.4825000000000002, 1.48, 1.3671, 1.3646, 1.489, 1.4833, 1.3592, 1.... | 0.08333333333333334 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.04242424242424242 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(1)) + 0.09242424242424242 * (Z(6) @ Z(0)) + 0.04242424242424242 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(9) @ Z(1)) + 0.04242424242424242 * (Z(9) @ Z(0)) + 0.04242424242424... | 13 | 12 | 1 | {"smallest_eigenvalues": [-1.0636363636363648], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0636363636363646, "smallest_bitstrings": ["100010100000"], "largest_eigenvalue": 3.5000000000000044} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.2820800627473187) q[0];
rz(-0.06322053432267952) q[0];
ry(1.5484832736183178) q[1];
ry(1.2243742880532154) q[2];
ry(1.7064305582119985) q[3];
ry(-0.056129971253929614) q[4];
ry(1.3506754988490932) q[5];
ry(0.32536891689836345) q[6];
ry(1.1214163145395513) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIIIZIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIZZI... | [
0.08333333333333334,
0.03333333333333333,
0.04242424242424242,
0.08333333333333334,
0.09242424242424242,
0.04242424242424242,
0.03333333333333333,
0.04242424242424242,
0.04242424242424242,
0.04242424242424242,
0.03333333333333333,
0.04242424242424242,
0.04242424242424242,
0.042424242424242... | 0.979064 | [
0.2820800627473187,
1.5484832736183178,
1.2243742880532154,
1.7064305582119985,
-0.056129971253929614,
1.3506754988490932,
0.32536891689836345,
1.1214163145395513,
1.3648122309610633,
1.0955298830537583,
1.4170776683124087,
1.7190999073089457,
-0.12644106864535903,
0.17708620179004034,
-... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -1.0636363636363648,
"target_ratio": 0.97,
"target_value": -1.031727272727274
} | 16 |
d553277f50a2caebf7d64bfa2366fbf1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [59, 1], "expectation_value": -3.7230894512842565, "params": [[-0.0614, -0.0567, -0.0563, -0.0341], [0.0727, 0.06380000000000001, 0.0687, 0.0589]], "bitstrings": ["1000100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.030140440461028546, 0.03396726038285129], "optimization_time": 5.579700... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000100", "1010100", "1111100", "1111110", "1011100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6244170222714969) q[0];
h q[1];
ry(0.7824975594798811) q[1];
h q[2];
ry(-1.2488340445429937) q[2];
h q[3];
ry(0.750036580810066) q[3];
h q[4];
ry(-1.2488340445429937) q[4];
h q[5];
ry(0.7963883987253267) q[5];
h q[6];
cx q[6], q[0];
ry(0.6244170222714969) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-0.25,
-1,
2,
-1,
0.5,
-0.25,
-2.25,
2,
-1.5,
0.5,
1
] | 0.96275 | [
-1.2488340445429937,
1.6043294875879333,
-1.0691927359798892,
1.5927767974506535,
1.5649951189597622,
2.892550652166787,
-0.8386926862915725,
1.500073161620132,
-2.8460184121839456,
-0.03428641686045621,
-0.14060491147893758,
-0.758107943261047,
0.6149085041257748,
0.16605770370895406,
1... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 500 |
8bdb055763aa4a4c3c875ea3955b1837 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "ta... | {"states": [52, 56], "expectation_value": -3.435414677170821, "params": [0.2209, 0.039900000000000005, 0.4904, -0.0014, 0.5081, -0.0006000000000000001, 0.502, 0.00030000000000000003, 0.5018, 0.0009000000000000001, 0.4964, -0.003, 0.0313, -0.2383, 0.1883, -0.1892, 0.222, 0.002, 0.49770000000000003, -0.001700000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -2.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z... | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["10110110", "01101011", "11001011", "11010110", "11011100", "01100111", "01110110", "10101011", "11000111", "10100111"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.01900867104193508) q[0];
rz(1.782408861892197) q[0];
rx(0.20588073638135893) q[1];
rz(1.4661295956520544) q[1];
rx(0.8592369524644662) q[2];
rz(1.6211262707534972) q[2];
rx(1.0172353869544104) q[3];
rz(1.5647132071664336) q[3];
rx(0.5682191839402835) q[4];
rz(1.406... | 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",
"IIIIIZZI",
"IIIIIZIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
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,
-2,
-0.5,
-0.5,
-0.5,
-1
] | 0.973509 | [
0.019008671041935078,
0.2116125350973007,
0.2058807363813589,
-0.10466673114284238,
0.8592369524644662,
0.05032994395860082,
1.0172353869544104,
-0.006083119628462828,
0.5682191839402836,
-0.16454094971825484,
0.8761780583571579,
-0.16733512884649898,
0.022950529172201334,
-0.2486634191860... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 16 |
f848d40cbfa43815a8aa73d15a4c0574 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 6}, {"source": 3, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.896151425385047, "params": [0.0028, 0.5863, 0.0024000000000000002, -0.5878, 0.8073, 0.0066, 0.0023, 0.5993, 0.006200000000000001, 0.004, 0.0028, 0.5989, 0.0028, 0.0097, 0.0024000000000000002, 0.0004, 0.8059000000000001, 0.0046, 0.0023, 0.0006000000000000001, -0.0015, 0.0086, 0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -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)) + 0.25 * (Z(... | 18 | 6 | 2 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["110111"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.522122814442769) q[0];
h q[1];
ry(-1.554533748668052) q[1];
ry(-3.049141161380527) q[2];
rz(-pi) q[2];
cx q[0], q[2];
ry(0.04377797985713864) q[2];
cx q[0], q[2];
ry(-0.046724568819678486) q[0];
cx q[2], q[0];
ry(0.046724568819678486) q[0];
cx q[2], q[0];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IIIZIZ",
"IIZIZI",
"IIIZZI",
"IIZZII",
"IIZIZZ",
"IIIZZZ",
"IIZZIZ",
"IIZZZI",
"IIZZZZ",
"ZIIZII",
"IZIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.625,
-0.625,
0.125,
-0.75,
-0.75
] | 0.973378 | [
-1.554533748668052,
-0.864962968929314,
1.522122814442769,
1.1323824480941402,
-0.6313506460324426,
1.5398346705677213,
0.27570323119812223,
-0.3075256053707013,
0.25356253493994757,
-0.25646521288722784,
-0.08755595971427728,
-0.09344913763935697,
0.11012478834184519,
-0.1749207751871755,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 6 |
-3554929148838646927 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 6, 7], [2, 5, 6], [0, 2, 6, 7], [2, 3, 7], [8, 2, 7], [0, 3, 6], [8, 4, 5, 7], [0, 3, 4], [0, 1, 4, 5, 8], [0, 5, 6], [8, 1, 3, 6], [1, 2, 3, 4, 6], [1, 2, 4, 5]]} | {"states": [341, 489], "expectation_value": -0.15414268443322582, "params": [[-0.0693], [0.0717]], "bitstrings": ["010101010", "000010110"], "total_optimization_steps": 10, "probabilities": [0.0021367043447912924, 0.002140252317275333], "optimization_time": 3.8999297618865967} | 0.18333333333333335 * (Z(1) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.23333333333333334 * (Z(4) @ Z(1)) + 0.35 * (Z(6) @ Z(3)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.13333333333333333 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.2333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.183333333333333, "smallest_bitstrings": ["000010110"], "largest_eigenvalue": 13.000000000000002} | 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[1];
rz(-0.009409331834784387) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.10275755190173141) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.06587115839051642) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.037113022... | 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": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIZIIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIIZII",
"IIIIIZIIZ",
"... | [
0.18333333333333335,
0.26666666666666666,
0.23333333333333334,
0.35,
0.18333333333333335,
0.1,
0.21666666666666667,
0.05,
0.13333333333333333,
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.13333333333333333,
0.3,
0.41666666666666663,
0.13333333333333333,
0.21666666... | 0.972799 | [
-0.009409331834784387,
-0.10275755190173141,
-0.06587115839051642,
-0.037113022522063374,
0.04657876510395437,
-0.018556501644220413,
-0.016769398260077416,
-0.03732936359355162,
0.011530912143421538,
0.11290245937524032,
0.03301646248218006,
-0.03494572307788309,
0.05837032540773738,
0.03... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -3.2333333333333334,
"target_ratio": 0.97,
"target_value": -3.1363333333333334
} | 177 |
a5b6f70fa93b6e42b90ae65ce41ed9b5 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 4, "target": 7}, {"sour... | {"states": [0, 240], "expectation_value": -12.711042873203352, "params": [0.7951, 0.2265, -0.756, 0.0016, -0.8601000000000001, 0.1711, 0.40800000000000003, 0.0059, 0.9385, 0.5824, 0.4209, 0.0058000000000000005, -0.9502, 0.6555000000000001, -0.2346, 0.0016, 0.0041, 1.3474000000000002, -0.0033, 0.004200000000000001, 1.10... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3)... | 6 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["00001111"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.2011696332018251) q[0];
rz(1.804996308717735) q[0];
rx(-2.0808888080831265) q[1];
rz(1.4421944171161876) q[1];
rx(2.9904797720066205) q[2];
rz(2.2904534759651334) q[2];
rx(-2.4141826430943096) q[3];
rz(1.9842309570910093) q[3];
rx(0.036908435602802526) 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[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IZIZIIII",
"ZZIIIIII",
"ZIIZIIII",
"IZZIIIII",
"IIZZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
-2,
-2,
0.5,
-2,
0.5,
0.5,
-2.5,
-2.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5,
0.5
] | 0.97281 | [
1.2011696332018251,
0.2341999819228383,
-2.0808888080831265,
-0.12860190967870938,
2.9904797720066205,
0.7196571491702362,
-2.4141826430943096,
0.41343463029611255,
0.03690843560280252,
1.2056989820902368,
-0.017080639563930897,
0.25494747289805836,
-0.110662569526349,
1.1322525616179289,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 97 |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [3, 1], "expectation_value": -0.16049273778274842, "params": [[-0.0375, -0.0412, -0.0455, -0.043500000000000004], [0.0506, 0.044500000000000005, 0.051800000000000006, 0.051800000000000006]], "bitstrings": ["100", "110"], "total_optimization_steps": 10, "probabilities": [0.13842293429017966, 0.154795173773342... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | 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... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.5,
-0.25,
0.75,
-0.25,
-0.25,
0.5
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
752220f968f2aa8877027e3113cc1027 | 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": 6}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [38314, 27221], "expectation_value": -0.01828007186056999, "params": [[-0.063], [0.0736]], "bitstrings": ["0110101001010101", "1001010110101010"], "total_optimization_steps": 10, "probabilities": [1.642375133538668e-05, 1.6423751335386686e-05], "optimization_time": 14.827253580093384} | 0.25 * (Z(0) @ Z(1)) + 0.0001953125 * (Z(2) @ Z(0)) + 0.0001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00029296875000000004 * (Z(4) @ Z(0)) + -0.0009765625 * (Z(4) @ Z(2)) + 0.00029296875000000004 * (Z(5) @ Z(1)) + -0.0009765625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001953125 * (Z(6) @ Z(0)) + -0.001171875... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021874999999926], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021874999999909, "smallest_bitstrings": ["1001010110101010"], "largest_eigenvalue": 2.016796874999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.4928917417798564) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.023798281934331686) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.023798281934331686) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.4928917417798564) 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;
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];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"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,
0.0001953125,
0.0001953125,
0.25,
0.00029296875000000004,
-0.0009765625,
0.00029296875000000004,
-0.0009765625,
0.25,
0.0001953125,
-0.0011718750000000002,
-0.0009765625,
0.0001953125,
-0.0011718750000000002,
-0.0009765625,
0.25,
0.00009765625,
0.0001953125,
0.0002929687500... | 0.97891 | [
-1.4928917417798564,
0.023798281934331686,
0.013755645110779542,
-0.080042180531088,
0.0462270071478365,
0.7606390324262166
] | {
"n_parameters": 6,
"n_qubits": 16,
"optimal_eigenvalue": -2.021874999999926,
"target_ratio": 0.97,
"target_value": -1.961218749999928
} | 30 |
e0dccd63ccb6f94570f2b46361c692e0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [177, 161], "expectation_value": -2.0496821541718844, "params": [[0.3509], [-0.3413]], "bitstrings": ["101001110", "101011110"], "total_optimization_steps": 40, "probabilities": [0.011966109317290143, 0.012021733604437182], "optimization_time": 3.006423234939575} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.75 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["101001010", "101011110", "101011100", "101011010", "101011000", "101001110", "101001100", "101001000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.05839614278337155) q[0];
rz(pi/2) q[0];
ry(0.007699594208596339) q[1];
ry(0.6368929387613436) q[2];
ry(-0.305948830476148) q[3];
ry(0.8279255936715874) q[4];
ry(0.6687371386581469) q[5];
ry(0.6083275044008217) q[6];
ry(-0.030249047403171775) q[7];
ry(0.73392389059... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IIIIZZIII",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
-0.5,
0,
-0.25,
0.75,
0.75,
-1,
0,
-0.25,
-0.25,
0.25
] | 0.970135 | [
0.05839614278337155,
0.007699594208596339,
0.6368929387613436,
-0.305948830476148,
0.8279255936715874,
0.6687371386581469,
0.6083275044008217,
-0.030249047403171775,
0.7339238905999639,
0.40545979371793645,
0.47414350168779645,
1.0184967181303088,
-0.11619730788514432,
0.1838879214229425,
... | {
"n_parameters": 168,
"n_qubits": 15,
"optimal_eigenvalue": -15.749999999999945,
"target_ratio": 0.97,
"target_value": -15.277499999999947
} | 37 |
a65a8f132e9e11ca587f1073a44b14e3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "s... | {"states": [17, 1], "expectation_value": -0.3340006325689212, "params": [[-0.043300000000000005], [0.0511]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0024193717961725203, 0.0024798578238806194], "optimization_time": 3.091313600540161} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7576989536039568) q[0];
ry(-0.02769920467597297) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.9709349169544848) q[2];
h q[3];
ry(-1.5153979072079136) q[3];
ry(-1.570792075828601) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5153979072079136) q[5];
h q[6];
ry(-1.5153979072... | 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": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIZIIZIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIZIZIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIZZII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIZIII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.75,
-0.25,
-1.25,
-0.5,
-1.5,
-0.75,
-1.25,
-0.5,
-1.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.75,
1.75,
-0.5,
-1.5,
-0.25,
0.5,
-1,
0.75,
0.5,
1.25,
-1.5,
1.25
] | 0.955061 | [
-1.5153979072079136,
1.5707962630942358,
-0.8130973016131445,
-3.5126661492229454,
1.5707877049182808,
-3.141583911769153,
1.9418698109471277,
-0.05539842982202022,
-2.0157038444357187e-7,
1.941869868714013
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 401 |
9c2f02be2c499f1518832ddbbd315206 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [171, 169], "expectation_value": -3.170039683594859, "params": [1.0203, -0.0004, -0.0023, 0.7658, 1.0129000000000001, 0.17120000000000002, -0.0033, 0.8159000000000001, 1.0251000000000001, 0.0047, -0.0031000000000000003, 0.7664000000000001, 0.5403, -0.1758, 0.7542, -0.33640000000000003, 1.0134, -0.0002, -0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5625, "smallest_bitstrings": ["01011001", "01110100", "10010110", "01010101", "01010110", "01011100", "11010100"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-2.901167588346981) q[0];
rz(-0.2105070273682461) q[0];
rx(0.20971789230352275) q[1];
rz(0.657866821689816) q[1];
rx(0.062455288276377335) q[2];
rz(-1.11430263207646) q[2];
rx(0.21409063416784044) q[3];
rz(-0.03728581354816862) q[3];
rx(3.071209421739293) 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": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIZIZ",
"IZIIIZIZ",
"ZIIIIZIZ",
"IZIZIIIZ",
"ZIIZIIIZ",
"ZZIIIIIZ",
"IZIZIZII",
"ZIIZIZII",
"ZZIIIZII",
"ZZIZIII... | [
0.5,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.5,
-0.0625,
... | 0.971256 | [
3.3820177188326053,
-0.07486301144683405,
0.20971789230352275,
0.2140906341678404,
0.062455288276377335,
-0.6255287633609229,
0.35834076480290283,
3.071209421739293,
-0.04907887639235431,
-0.1210173864240168,
-0.8796050668496838,
3.524195307406011,
-0.9175017165581438,
-0.06560165821150515... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 23 |
a13dff7348d1aef0dcc3ad8789289a06 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 10}, {"capacity": 2, "source": 2, "target"... | {"states": [1024, 1023], "expectation_value": -18.534461644088072, "params": [[[-0.5372, -0.0013000000000000002], [0.0005, -0.0011], [0.0005, -0.0025], [-0.0048000000000000004, -0.0025], [-0.0019, -0.0022], [-0.0021000000000000003, 0.002], [0.0032, -0.0025], [0.0026000000000000003, -0.0024000000000000002], [-0.00170000... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(4)) + -1.25 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(3)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(7) @ Z... | 15 | 11 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.0005118964127247029) q[0];
ry(0.020832461753343554) q[1];
ry(-0.15084080634810818) q[2];
ry(-0.005914124102809561) q[3];
ry(0.08788656706504139) q[4];
ry(-0.13638530737852694) q[5];
ry(0.012624525448915836) q[6];
ry(0.14201889757566308) q[7];
ry(-0.086113881884752... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIZIIZIIIII",
"IIZIIIIIZII",
"IIZIIIIZIII",
"IIZIZIIIIII",
"IIIZIZIIIII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IZIIIZIIIII",
"IZIIIIIIZII",
"IZIIIIIZI... | [
-0.75,
1,
-0.5,
-1.5,
-0.5,
-0.75,
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
-1,
-1.5,
-0.25,
-2.25,
0,
-2.5,
-0.25,
0.25,
1.25,
-0.5,
3.75,
2
] | 0.970501 | [
0.0005118964127247029,
0.020832461753343554,
-0.15084080634810818,
-0.005914124102809561,
0.08788656706504139,
-0.13638530737852694,
0.012624525448915836,
0.14201889757566308,
-0.08611388188475289,
-0.1662125863968123,
1.9161569600350001,
0.007633695261448759,
0.04167722238999298,
0.006559... | {
"n_parameters": 36,
"n_qubits": 11,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 45 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [9, 3], "expectation_value": -7.0781618393635375, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.1350325569531364, 0.6529765755302799], "optimization_time": 21.838619232177734} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 16 | 5 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
26d7f56e59bfdf48052023802b40605b | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [6, 3], "expectation_value": -7.266998784218237, "params": null, "bitstrings": ["11001", "11100"], "total_optimization_steps": 29, "probabilities": [0.1270260520166957, 0.6801278965337934], "optimization_time": 27.727179765701294} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
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... | null | {"k": 3} | {"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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
2,
-2.75,
-2.5,
-2.75,
-2.25,
-2.25
] | 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 |
c2160dfdbad38c3b1811a7e58cf0a6d6 | 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": [746, 618], "expectation_value": -81.27047719583915, "params": [2.8924000000000003, 0.0091, 0.6565000000000001, 0.0068000000000000005, 1.4728, 0.002, 2.9056, 0.0012000000000000001, 2.8996, 0.0009000000000000001, -0.0029000000000000002, 0.006900000000000001, 2.9029000000000003, 0.0055000000000000005, 0.3261, ... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(9) @ Z(8)) + 2.5 * Z(0) + 2.5 * Z(1) + 12.5 * Z(3) + 12.0 * Z(2) + 13.5 * Z(4) + -6.0 * Z(5) + 0.5 * Z(7) + 7.5 *... | 18 | 10 | 1 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["0110010101"], "largest_eigenvalue": 119.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.130716192232409) q[0];
rz(0.060371689542558116) q[0];
rx(0.27590925013228373) q[1];
rz(-0.09699135489064448) q[1];
rx(0.5699060022845327) q[2];
rz(0.02271130267401729) q[2];
rx(3.07749825907522) q[3];
rz(0.1023714383479806) q[3];
rx(3.075913064883255) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIZIIZIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
2.5,
2.5,
12.5,
12,
13.5,
-6,
0.5,
7.5,
8,
-3.5
] | 0.976123 | [
3.1524691149471775,
0.040247793028372336,
0.27590925013228373,
-0.09699135489064448,
0.5699060022845327,
0.02271130267401729,
3.07749825907522,
0.1023714383479806,
3.075913064883255,
-0.08967512789015386,
-0.031041507064099527,
-0.11541750986695734,
3.0550101683578905,
-0.05777881263732405... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -94.5,
"target_ratio": 0.97,
"target_value": -91.66499999999999
} | 8 |
da3c81488557dc57e6e1f0bd43d65336 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [34, 37], "expectation_value": -2.4844732735559742, "params": [0.7853, -0.0167, 0.041600000000000005, 0.5253, 0.0034000000000000002, 1.4437, 0.8831, 0.34140000000000004, 0.5626, 0.5358, 0.6046, 0.5381, 0.7828, -0.004, -0.0117, 0.4723, 0.003, 0.23320000000000002, 0.5537000000000001, 0.4045, 0.4658000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 3 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["011010", "100101"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | 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": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
54167b50cde5b0a7a697521ad53083fa | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"sour... | {"states": [252, 255], "expectation_value": -9.004622967855518, "params": null, "bitstrings": ["00000011", "00000000"], "total_optimization_steps": 100, "probabilities": [0.11993718825807391, 0.4463831867594649], "optimization_time": 175.15020966529846} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["00000000", "11000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6365620755400754) q[0];
cx q[1], q[0];
rz(1.6370575036335282) q[0];
rx(1.6266478510850464) q[0];
rz(2.219544608246613) q[1];
rx(1.6266478510850466) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(1.5708138695970826) q[2];
cx q[3], q[2];
h q[4... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIIZZ",
"IIIIZZII",
"IIZIZIII",
"IIZIIZII",
"IIIZZIII",
"IIIZIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.777633 | [
1.6365620755400754,
1.5708138695970826,
1.5742829854598857,
2.2195446082466135,
1.6370575036335286,
1.6266478510850464
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 181 |
d7c4fa908b682a765170acd95e694c1e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [57, 27], "expectation_value": -3.999863757294485, "params": null, "bitstrings": ["1000110", "1100100"], "total_optimization_steps": 33, "probabilities": [1.6414531378725664e-05, 0.9999120658881059], "optimization_time": 22.828179597854614} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04006813928709971) q[0];
ry(-0.04283227177819987) q[1];
rz(-pi) q[1];
ry(-3.0155727271194825) q[2];
rz(-pi) q[2];
ry(-3.039740867307898) q[3];
rz(-pi) q[3];
ry(-0.04283227177819987) q[4];
rz(-pi) q[4];
h q[5];
ry(1.4090748916832239) q[5];
cx q[5], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZIIZ",
"IIIIZZI",
"IZIIIZI",
"IIZZIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.994664 | [
-1.5575987656241055,
-1.5266973845293808,
1.4090748916832239,
-0.002533340974631912,
0.11973929765955538,
0.07140301728272447,
0.2306883985567362,
0.16353422190265315,
-0.10653140091578142,
0.026473720860462346,
0.011699815818405308
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
8429137521408144130 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 6], [0, 5, 7], [0, 2], [0, 1, 4], [3, 4, 6], [1, 2, 4], [4, 7], [2, 3, 6], [0, 3], [2, 5, 7], [1, 3, 5], [1, 2, 5], [1, 3, 4]]} | {"states": [113, 60], "expectation_value": -0.08732205334764012, "params": [[-0.0471], [0.0585]], "bitstrings": ["10001110", "11000011"], "total_optimization_steps": 10, "probabilities": [0.004196977718868734, 0.004228078688408254], "optimization_time": 0.8176610469818115} | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.166666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.166666666666669], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333334, "smallest_bitstrings": ["11000011"], "largest_eigenvalue": 11.5} | 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(-0.18283554149532277) q[2];
cx q[4], q[2];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.18283554149532277) q[6];
cx q[4], q[6];
cx q[2], q[6];
cx q[4], q[0];
rz(0.11241373742328861) q[0];
cx q[4], q[0];
rz(-0.18283554149... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[6];
rz(x0) q[6];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"IZIZIIII",
"IZIIIZII",
"IIIZIIIZ",
"IIIIIZIZ",
"IIZIIZII",
"IIZIIIIZ",
"ZIIZIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIZIIZI",
"IIIIIZZI",
"IIIIIIZZ",
"IIZIIIZI",
"IIIZZIII",
"IIIIZZII",
"IZIIZIII",
"IIIIZIIZ",
"IIZIZIII",
"IIIIZIZI",
"IIIZIIII",
"IIIIIZI... | [
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16... | 0.53842 | [
-0.18283554149532277,
0.11241373742328861,
-0.8454467170475931,
-0.3844507532902905,
-0.9715076806339995,
0.8705132495448538
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -4.166666666666669,
"target_ratio": 0.97,
"target_value": -4.041666666666669
} | 143 |
edd8e6f0b3009c5ffff5fe612ea653e2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [49, 113], "expectation_value": -4.861141475176755, "params": [[[-0.0097, 0.31720000000000004], [0.533, -0.0426], [0.6034, -0.002], [0.6108, 0.002], [0.5145000000000001, 0.06280000000000001], [-0.0083, 0.32270000000000004], [-0.0187, -0.30910000000000004], [0.6005, -0.0022]], [[-0.0027, 0.3235], [0.5319, -0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -2.0 * Z(0) + 0.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10001110", "11000110"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.8723381977988147) q[0];
ry(0.17924209648048656) q[0];
rz(-2.3963705340079264) q[0];
rz(1.315456870927716) q[1];
ry(2.702785187438986) q[1];
rz(-1.7301382095303381) q[1];
rz(0.8172074445253399) q[2];
ry(2.946919187200858) q[2];
rz(-2.087207895912892) q[2];
rz(-0.105... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIZIZIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIZIII"
] | [
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,
-2,
0,
-2,
-1.5,
-1,
-1,
-0.5
] | 0.971262 | [
-0.2835570122620067,
0.2302952926408852,
0.869110766327814,
-0.06511718166112349,
0.9695818287060448,
-0.07571730283612396,
0.6391330181988426,
-0.17809872848608618,
0.4172675923594865,
0.5414628140169196,
0.17573894402620355,
0.5094320525723133,
-0.25726312196343865,
0.024557201564533754,... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 16 |
5011041588241054098 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5], [0, 3, 5, 6], [2, 3, 6, 7], [0, 2, 5, 7], [1, 3, 7], [1, 3, 5]]} | {"states": [250, 207], "expectation_value": -0.5051628294501143, "params": [[0.2609], [-0.2553]], "bitstrings": ["00000101", "00110000"], "total_optimization_steps": 30, "probabilities": [0.0066746706386357916, 0.006683374658067735], "optimization_time": 3.2541284561157227} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.083333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["10011000", "01100010", "11001010", "11100000", "00110000"], "largest_eigenvalue":... | 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(0.26497385847801025) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(0.26497385847801025) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.26497385847801036) q[4];
rx(-0.8354724311646876) q[4];
rz(0.4325256308421527) q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(x0) q[2];
cx q[4],... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"IIZZIIII",
"IIZIIZII",
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIZZII",
"IIZIZIII",
"IIIIZIIZ",
"IZIIIZII",
"IZZIIIII",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZZIIIIII",
"IIZIIIZI",
"IIIIZIZI",
"ZIIIIIZI",
"IIIZIIII",
"IIIIIZII",
"IIZIIII... | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0... | 0.667565 | [
0.26497385847801025,
0.4325256308421527,
-0.005211413820932411,
0.7012835360445185,
1.0283697760409036,
0.15045806374648707,
1.3183827229303289,
-0.8354724311646876
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 196 |
f5111a52f17f533e17f8c384d135402e | matching | qaoa | {"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}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [414, 174], "expectation_value": -34.96491987428646, "params": [[-0.032600000000000004, -0.0073, 0.020200000000000003, -0.0021000000000000003], [0.0695, 0.0655, 0.049600000000000005, 0.057100000000000005]], "bitstrings": ["001100001", "101010001"], "total_optimization_steps": 10, "probabilities": [0.00901112... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.007212776099781059) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.007212776099781059) q[2];
cx q[1], q[2];
rz(0.780813702981237) q[2];
rx(1.5721006595659317) q[2];
h q[3];
cx q[1], q[3];
rz(-0.007212776099781059) q[3];
cx q[1], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
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,
19,
7.5,
0,
19,
9,
10.5,
9,
23.5,
13.5
] | 0.97105 | [
-0.007212776099781059,
-1.3592743259066122,
1.6537158779789607,
0.7808137029812368,
1.67390823835905,
-1.2343604044739556,
-1.5525304193852054,
-1.4452878913400449,
1.572100659565932,
-1.2309330465006443,
-1.5734411619713957,
0.08174358873233034,
-0.2046395037677557,
-1.0212890304073738,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 58 |
1c92797ebdc5766ffafd498d21cf8a8a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [363, 238], "expectation_value": -0.1529534604416108, "params": [[0.0562, 0.0358, 0.0465], [-0.0553, -0.038200000000000005, -0.0408]], "bitstrings": ["010010100", "100010001"], "total_optimization_steps": 10, "probabilities": [0.0026894865000654344, 0.0026894865000654366], "optimization_time": 11.97573351860... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["010010100", "100010001", "001100010"], "largest_eigenvalue": 5.875} | 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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IIIZIZIIZ",
"IIZIIZIIZ",
"IIZZIIIIZ",
"IIZZIZIII",
"IIZZIZIIZ",
"IZIIIIIZI",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZZIIIIIZI",
"IIIZZIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
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,
0,
-0.125,
-0.25,
0.125,
0.125,
0,
0
] | 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 |
cf866b0685f0f2b92fc41e952765f334 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [19, 23], "expectation_value": -6.02534104920541, "params": [[[0.0029000000000000002, 2.4821], [-0.0025, 2.6079000000000003], [1.5690000000000002, 0.001], [-0.0011, 0.00030000000000000003], [-1.0016, 1.0689], [1.568, 0.001], [1.5698, 0.0028]], [[0.0029000000000000002, 0.007200000000000001], [0.0028, 0.0051],... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4389876603721047) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.3936411233317491) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.4389876603721047) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.4389876603721047) q[2];
cx q[3], q[2];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIIZZI",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IIZIZII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.75,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
0.25,
-0.5,
1
] | 0.619308 | [
0.4389876603721047,
0.3936411233317491,
-0.9640592261572137,
0.3473169744588019,
0.9763395609882711,
-0.671208939863871,
-0.6920954321912673,
0.9887089718505631
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 188 |
e6ced9b23e511440e0771c884d554a1d | 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": [1445, 1189], "expectation_value": -62.861834092407996, "params": [0.7976000000000001, 0.2215, 0.3623, 0.3623, 0.48400000000000004, 0.32530000000000003, 0.7939, 0.1973, 0.5324, 0.3904, 0.8004, 0.19260000000000002, -0.018500000000000003, 0.46840000000000004, -0.010700000000000001, 0.5274, 0.7972, 0.0468, 0.38... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(10) @ Z(9)) + 1.0 * Z(1) + 7.5 * Z(0) + 10.0 * Z(3) + 4.0 * Z(2) + 4.5 * Z(4) + 8.5 * Z(5) + -4.0 * Z(6) + 7.0 *... | 18 | 11 | 3 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["01101011010"], "largest_eigenvalue": 120.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.8025699644095546) q[0];
rz(0.24727129749528665) q[0];
rx(0.14029096052646886) q[1];
rz(0.14029096052646886) q[1];
rx(-0.05885774652115919) q[2];
rz(0.17401782395782006) q[2];
rx(1.0865795713985977) q[3];
rz(0.27576630253194706) q[3];
rx(0.07234847795175459) 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, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"IZIIIIIIIIZ",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
1,
7.5,
10,
4,
4.5,
8.5,
-4,
7,
-3.5,
2,
8.5
] | 0.978079 | [
0.8025699644095546,
0.21074336881832847,
0.14029096052646886,
-0.05885774652115919,
0.17401782395782006,
1.0865795713985977,
0.27576630253194706,
0.07234847795175459,
0.20931658808974085,
0.9412308220806389,
0.4667914744302149,
-0.09039492633382948,
0.3275171188519155,
0.18829716646889388,... | {
"n_parameters": 95,
"n_qubits": 11,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 21 |
5a6de077903f2a4d8f98b28430561316 | 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": [159, 31], "expectation_value": -50.94177096972716, "params": [0.4703, 0.2245, -0.0036000000000000003, -0.4682, -0.0041, -0.48800000000000004, 0.8959, -0.004, 0.9003, 0.010400000000000001, 0.8987, 0.0021000000000000003, 0.8901, 0.054, 0.8937, 0.1625, 0.4692, 0.1857, -0.00030000000000000003, -0.46580000000000... | 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(1) @ Z(4)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(2) @ Z(5)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(6)) + 14.0 * Z(3) + 8.0 * Z(0) + 5.5 * Z(4) + -3.5 * Z(1) + 8.5 * Z(5) + -4.0 * Z(2) + 13.0 * Z(6) + 14.5 * Z(7) | 18 | 8 | 3 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.13522267043175387) q[0];
rz(0.5916441526776239) q[0];
rx(-0.08091486430436665) q[1];
rz(-0.5618208638741018) q[1];
rx(0.049402591577022696) q[2];
rz(-0.47215040254501006) q[2];
rx(0.8479135975423476) q[3];
rz(0.01663526684557602) q[3];
rx(1.0067667838285392) 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, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IIZIIZII",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14,
8,
5.5,
-3.5,
8.5,
-4,
13,
14.5
] | 0.97683 | [
0.13522267043175387,
0.5189483378518116,
-0.08091486430436665,
-0.5618208638741018,
0.049402591577022696,
-0.47215040254501006,
0.8479135975423476,
0.01663526684557602,
1.0067667838285392,
0.02269238204990881,
0.7845298661415344,
-0.19462401512742558,
1.0642088989378193,
-0.041390237979671... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -61.5,
"target_ratio": 0.97,
"target_value": -59.655
} | 10 |
fd959b015d7c5b50b2cd05831ed95a60 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [61, 87], "expectation_value": -0.38866350379711445, "params": [[0.0723, 0.0545, 0.060200000000000004, 0.0708], [-0.0857, -0.052500000000000005, -0.0463, -0.0553]], "bitstrings": ["11000010", "10101000"], "total_optimization_steps": 10, "probabilities": [0.007966261686308, 0.00796626168630801], "optimization... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["11000010", "10101000"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"IZIZIIII",
"IIIIZIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"IIZIZIIZ",
"ZIIIZIIZ",
"ZIZIIIIZ",
"ZIZIZII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
0,
0,
0.125,
-0.25,
0.125,
-0.25,
0.125
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
-3674036597387748127 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 4, 8], [3, 4, 5], [8, 2, 3, 4], [0, 2, 4], [8, 5, 7], [2, 3, 4, 6, 7], [0, 1, 4, 5, 8], [0, 1, 2, 3, 6, 8]]} | {"states": [220, 221], "expectation_value": -1.4141881008262995, "params": [[[1.2225000000000001, 0.008400000000000001], [2.9584, 0.0059], [2.9643, 0.0013000000000000002], [1.2433, 0.0023], [2.8954, 0.0058000000000000005], [2.9555000000000002, 0.0005], [2.8879, 0.0092], [1.33, 0.0082], [1.6254000000000002, 0.0029000000... | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.35 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.1833333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.05, -2.05], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.016666666666666, "smallest_bitstrings": ["100100010", "011001000"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.22014415011388366) q[1];
h q[2];
ry(-0.2246906981472278) q[2];
cx q[0], q[2];
ry(0.2246906981472278) q[2];
cx q[0], q[2];
ry(0.5629892885084343) q[0];
ry(-0.10731528227089916) q[2];
h q[3];
h q[4];
ry(1.4685039376536098) q[4];
h q[5];
ry(-0.1794423... | 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": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"ZIIIIIZII",
"IZIIIZIII",
"... | [
0.13333333333333333,
0.08333333333333334,
0.08333333333333334,
0.1,
0.26666666666666666,
0.35,
0.13333333333333333,
0.13333333333333333,
0.16666666666666666,
0.18333333333333335,
0.05,
0.05,
0.16666666666666666,
0.21666666666666667,
0.21666666666666667,
0.03333333333333333,
0.1999999... | 0.983677 | [
1.4685039376536098,
1.3295964637774516,
0.5762240999671344,
-0.4493813962944556,
0.4291765156901608,
0.2771688065762853,
-0.3588847718935236,
-0.21463056454179832,
0.3676787700193534,
-0.33747918987954384,
0.5331649152059814,
-0.20566113722237864,
0.3906210369781619,
-0.34511936047582614,
... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -2.05,
"target_ratio": 0.97,
"target_value": -1.9884999999999997
} | 1 |
-2356724605130212399 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 4, 5, 6, 7, 8], [0, 2, 3, 4, 6, 7, 8], [0, 1, 3, 4, 7, 8], [0, 1, 2, 3, 5, 7]]} | {"states": [347, 253], "expectation_value": -0.34889043438023015, "params": [[0.4389], [-0.4364]], "bitstrings": ["010100100", "100000010"], "total_optimization_steps": 50, "probabilities": [0.0033220417484755163, 0.0033988065694609444], "optimization_time": 5.342289686203003} | 0.08452380952380953 * (Z(0) @ Z(1)) + 0.05119047619047619 * (Z(2) @ Z(1)) + 0.075 * (Z(2) @ Z(0)) + 0.05119047619047619 * (Z(4) @ Z(1)) + 0.075 * (Z(4) @ Z(0)) + 0.041666666666666664 * (Z(4) @ Z(2)) + 0.05119047619047619 * (Z(5) @ Z(1)) + 0.05119047619047619 * (Z(5) @ Z(0)) + 0.05119047619047619 * (Z(5) @ Z(2)) + 0.017... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.7690476190476192], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.769047619047619, "smallest_bitstrings": ["100000010"], "largest_eigenvalue": 3.9999999999999987} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-6.774270633622764e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.477133695250464e-07) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-5.583049465717736e-09) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(1.477133695250464e-07) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"... | [
0.08452380952380953,
0.05119047619047619,
0.075,
0.05119047619047619,
0.075,
0.041666666666666664,
0.05119047619047619,
0.05119047619047619,
0.05119047619047619,
0.017857142857142856,
0.017857142857142856,
0.041666666666666664,
0.041666666666666664,
0.041666666666666664,
0.01785714285714... | 0.956656 | [
-6.774270633622764e-8,
1.477133695250464e-7,
-5.583049465717736e-9,
-3.826106143839022e-8,
1.3382046626468878e-7,
6.849105916549374e-8,
1.7043176915717875e-8,
3.2787135218207314e-7,
-5.720922745236919e-8,
1.7886596943087717e-7,
-3.3174167649585136e-7,
1.5707964321550945,
1.5707962439984104,
... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -0.7690476190476192,
"target_ratio": 0.97,
"target_value": -0.7459761904761906
} | 419 |
-1833601062835940572 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 5, 6], [8, 9, 3, 4], [10, 11], [1, 2, 3, 7, 9, 11], [1, 5], [0, 1, 3, 4, 6, 7], [0, 3, 4, 5, 6, 9], [1, 11, 4], [0, 3, 4, 7, 8, 11], [0, 2, 4, 5, 6, 7], [8, 2, 3], [0, 5, 7, 9, 11], [9, 10, 7], [2, 11, 5, 7], [5, 6, 7, 8, 11], [0, 3, 6, 9, 10], [8, 1... | {"states": [2813, 2797], "expectation_value": -5.279204965897597, "params": [[[3.1442, 0.001], [0.0023, 0.0034000000000000002], [3.1441000000000003, 0.0034000000000000002], [-0.0022, 0.007], [3.1442, 0.0092], [3.1388000000000003, 0.001], [3.1443000000000003, 0.009300000000000001], [4.7391000000000005, 0.0002], [3.1442,... | 0.3333333333333333 * (Z(10) @ Z(5)) + 0.2833333333333333 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(6) @ Z(10)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.3 * (Z(8) @ Z(10)) + 0.13333333333333336 * (Z(8) @ Z(6)) + 0.08333333333333334 * (Z(9) @ Z(5)) + 0.21666666666666667 * (Z(9) @ Z(10)) + 0.08333333333333334 * (Z(9) @ ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.433333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.35, "smallest_bitstrings": ["010100010010"], "largest_eigenvalue": 23.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.140735604836448) q[0];
rz(-0.16085297326675083) q[0];
rx(-0.020546836605422083) q[1];
rz(-0.12518108469688674) q[1];
rx(3.025529253225295) q[2];
rz(-0.12518108469688674) q[2];
rx(-0.015169975307998709) q[3];
rz(0.17622466237220633) q[3];
rx(3.140735604836448) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIIZIIZIIIII",
"IZIZIIIIIIII",
"IIIZIZIIIIII",
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IIZIIZIIIIII",
"IIZZIIIIIIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIZIIIIZIII",
"IIZIIIIIZIII",
"IIIIIIZZIIII",
"IZIIIIIZIIII",
"IIIIIZIZI... | [
0.3333333333333333,
0.2833333333333333,
0.21666666666666667,
0.21666666666666667,
0.3,
0.13333333333333336,
0.08333333333333334,
0.21666666666666667,
0.08333333333333334,
0.08333333333333333,
0.03333333333333333,
0.05,
0.2,
0.36666666666666664,
0.2,
0.06666666666666667,
0.05,
0.150... | 0.970854 | [
3.140735604836448,
-0.16085297326675083,
-0.020546836605422083,
-0.12518108469688674,
3.025529253225295,
-0.015169975307998709,
0.17622466237220633,
0.04234559411420024,
3.3226501349102406,
3.0678710856682323,
-0.004547395122919186,
4.812471519330273,
0.05612033067651867,
0.102250745508065... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -5.433333333333332,
"target_ratio": 0.97,
"target_value": -5.2703333333333315
} | 1 |
ea87393c81b1fa2eb1bd7f9a85da6103 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [511, 255], "expectation_value": -1.0731389916801135, "params": [[-0.082], [0.0753]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003231791227833368, 0.003312136145215617], "optimization_time": 2.522585868835449} | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(0) | 5 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-0.5202516173214093) q[0];
h q[1];
h q[2];
ry(0.5715278062569107) q[2];
cx q[1], q[2];
ry(-0.5715278062569107) q[2];
cx q[1], q[2];
ry(0.28429659234530147) q[1];
h q[3];
ry(0.7018202336207273) q[3];
cx q[2], q[3];
ry(-0.7018202336207273) q[3];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIIZ"
] | [
-2,
-2,
-2,
-2,
-2,
1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971249 | [
1.1430556125138214,
1.4036404672414546,
0.5685931846906029,
-1.8176420742983512,
3.7049270364913394,
-1.3244826424435634,
0.08033236555832358,
0.021437620927761837,
1.7622398624850033,
4.127657269355664,
-0.031813532343673956,
2.3209746755197376,
3.6446693816459232,
-0.5338543781956805,
... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 428 |
1be9c57b8eb101bfb59191663daf56af | 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": [123, 91], "expectation_value": -59.49437356681227, "params": [-0.0027, -0.3769, 0.0033, 0.4545, 0.5938, 0.014100000000000001, 0.38680000000000003, 0.1078, 0.5939, 0.0044, 0.603, 0.0057, 0.3749, 0.14700000000000002, 0.5973, 0.0112, 0.5961000000000001, 0.0016, -0.0007, -0.3886, -0.0004, 0.4677, 0.5973, 0.0223... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(8) @ Z(6)) + 18.5 * Z(2) + -5.0 * Z(0) + 20.0 * Z(5) + 6.0 * Z(3) + 1... | 18 | 9 | 4 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["110100100"], "largest_eigenvalue": 159.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2744147699540189) q[0];
rz(-0.5707256332483936) q[0];
rx(-0.21525593517913622) q[1];
rz(0.577120568856966) q[1];
rx(0.9639631525841559) q[2];
rz(0.03953201912206474) q[2];
rx(0.05361535751366603) q[3];
rz(0.36148079750150486) q[3];
rx(0.6446298132190935) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIIIZZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
18.5,
-5,
20,
6,
16.5,
14.5,
3,
13.5,
-6.5
] | 0.973085 | [
-0.2744147699540189,
-0.5564479225962424,
-0.21525593517913622,
0.577120568856966,
0.9639631525841559,
0.03953201912206474,
0.05361535751366603,
0.36148079750150486,
0.6446298132190935,
-0.07259024586225037,
0.8389445691693677,
-0.0399517246135005,
0.19058710224294073,
0.31617820035804467,... | {
"n_parameters": 100,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 13 |
6843859788980291204 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 1, 4, 6], [1, 10, 5, 7], [9, 5], [3, 4, 5], [8, 1, 9], [9, 4], [1, 10, 6, 9], [0, 10, 5], [8, 0], [0, 10, 6], [10, 2, 5, 6], [8, 10, 4, 5], [0, 9, 2, 3], [8, 2, 3, 5], [1, 3, 5], [3, 6], [8, 1, 5, 7], [0, 7], [9, 3, 7], [1, 2, 5], [2, 7]]} | {"states": [1989, 1987], "expectation_value": -4.956517414669538, "params": [1.5752000000000002, 1.5745, 1.5297, 1.6161, 1.5215, 1.6249, 1.5732000000000002, 1.5725, 2.5294000000000003, 0.6201, 2.38, 0.7732, 0.0091, -0.0149, -0.0023, -0.0023, 2.3977, 2.4461, 2.3431, 1.1919, 1.5775000000000001, 1.7508000000000001, -0.609... | 0.3333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.08333333333333333 * (Z(10) @ Z(8)) + 0.0833333333333... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.083333333333331, "smallest_bitstrings": ["00000111100"], "largest_eigenvalue": 18.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5866658903662076) q[0];
rz(pi/2) q[0];
ry(1.5097664337253127) q[1];
ry(1.391203473039963) q[2];
ry(1.5226511435139538) q[3];
ry(2.3908209467790718) q[4];
ry(2.497900177114633) q[5];
ry(-0.021173972172751167) q[6];
ry(0.015787497085976848) q[7];
ry(2.79720627424718... | 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": []} | [
"IIZIIIIIIZI",
"IIIIIIZIIZI",
"IIZIIIZIIII",
"IIIIZIIIIZI",
"IIZIZIIIIII",
"IIIIZIZIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"ZIIIIIZIIII",
"ZIIIZIIIIII",
"IIIIIZIIIZI",
"IIZIIZIIIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"ZIIIIZIIIII",
"IIIZIIIIIZI",
"IIZZIIIIIII",
"ZIIZIIIIIII",
"IIIZIZIII... | [
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.5,
0.25,
0.25,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666... | 0.974277 | [
1.5866658903662076,
1.5097664337253127,
1.391203473039963,
1.5226511435139538,
2.3908209467790718,
2.497900177114633,
-0.021173972172751167,
0.015787497085976848,
2.797206274247189,
2.1772361495341968,
1.6619583610793707,
-0.4949334316738257,
0.9360848427978083,
-0.8053897238148751,
2.73... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -5.166666666666666,
"target_ratio": 0.97,
"target_value": -5.011666666666666
} | 6 |
71e5bb03712e194188f8d50f4c05cdf8 | 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": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [29, 108], "expectation_value": -0.5201240854536063, "params": [[0.07440000000000001, 0.0748, 0.0708], [-0.0776, -0.0756, -0.0634]], "bitstrings": ["1100010", "0010011"], "total_optimization_steps": 10, "probabilities": [0.013756072230427203, 0.014394170447529917], "optimization_time": 3.271240472793579} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000011", "0010011", "1100010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.02416004962987343) q[0];
rz(0.6464253471396171) q[0];
ry(0.10916841186711712) q[1];
rz(-0.09003719706251745) q[1];
cz q[1], q[0];
ry(0.05188818090336937) q[0];
rz(0.3737247607235006) q[0];
ry(0.8200282107581987) q[1];
ry(1.0435735918085753) q[2];
rz(0.102623408307... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-1,
0,
0
] | 0.974585 | [
-0.02416004962987343,
0.6464253471396171,
0.10916841186711712,
-0.09003719706251745,
1.0435735918085753,
0.10262340830715515,
0.008916786375439203,
0.3403912361093418,
-0.14003445094820235,
0.6799870032696831,
0.15759830125959468,
-0.008518809284857834,
0.4100141053790994,
0.02910355617106... | {
"n_parameters": 46,
"n_qubits": 6,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 10 |
-7745204400287325471 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 6], [2, 3], [3, 6], [4, 6], [2, 4], [4, 5], [6, 7], [5, 6], [1, 4], [0, 4]]} | {"states": [167, 229], "expectation_value": -0.05019597807586518, "params": [0.7917000000000001, 0.12940000000000002, 0.7869, 0.0085, 0.7951, 0.11570000000000001, 0.7886000000000001, 0.0004, 0.7933, 0.0717, 0.7969, 0.0092, 0.7897000000000001, -0.048, 0.7915000000000001, 0.0057, 0.7869, 0.10600000000000001, 0.7871, 0.00... | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(0... | 5 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.0, "smallest_bitstrings": ["11110101", "00011101", "00011010", "00011001", "11100110", "11100010", "11100101", "10100110", "11010101", "00101010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(0.6341769019137536) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.6341769019137536) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(0.6341769019137536) q[2];
cx q[3], q[2];
rz(-2.0360142904962686e-08) q[3];
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": []} | [
"IZIIIIZI",
"IZIIZIII",
"IIIIZZII",
"IZIZIIII",
"IIIZIIZI",
"IIIZIZII",
"IZZIIIII",
"IIZZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIIZ"
] | [
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
] | 0.552465 | [
0.6341769019137536,
-2.0360142971868717e-8,
-0.7239664079906036
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 92 |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [13, 7], "expectation_value": -6.695030995372196, "params": null, "bitstrings": ["110010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10881682250307842, 0.5951549079003051], "optimization_time": 73.69336032867432} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 11 | 6 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
1047287188837006597 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 4, 5, 7], [8, 2, 4], [0, 1, 3, 5, 8, 9], [0, 4, 5, 7, 8], [0, 1, 2, 4, 6, 9], [1, 7], [1, 3, 4], [2, 3, 6, 7, 8], [0, 2, 3, 5, 7, 8], [0, 3, 6, 7], [8, 9, 2, 5], [3, 4, 6, 7, 8, 9], [0, 3, 4, 6, 9], [8, 9, 5, 7], [2, 3, 5, 7, 9], [1, 2, 3], [0, 1, 4, 5, 6]]} | {"states": [743, 741], "expectation_value": -3.7326301598233713, "params": [1.6779000000000002, 0.0415, 1.338, 0.0026000000000000003, 0.2811, -0.018600000000000002, 0.10070000000000001, 0.0015, 1.6771, 0.0371, 1.3092000000000001, 0.00030000000000000003, 1.6708, 0.0483, 1.3618000000000001, 0.0035, 1.6661000000000001, 0.... | 0.3333333333333333 * (Z(3) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.2 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.3 * (Z(7) @ Z(5)) + 0.25 * (Z(8) @ Z(4)) + 0.15 * (Z(8) @ Z(3)) + 0.2833333333333333 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(7)) + 0.19999999999999998 ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8166666666666655, "smallest_bitstrings": ["0100011010"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.1798397129708977) q[0];
rz(1.578373421020217) q[0];
rx(0.17941696077689315) q[1];
rz(1.4649554694912101) q[1];
rx(1.8299643677298183) q[2];
rz(1.3448323294051319) q[2];
rx(1.7058476705321333) q[3];
rz(1.713446585633612) q[3];
rx(1.2170624204193699) q[4];
rz(1.6431... | 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": []} | [
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IZIIIZIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIZIIZII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIIIIZIIIZ",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ"... | [
0.3333333333333333,
0.18333333333333335,
0.2,
0.16666666666666666,
0.3333333333333333,
0.3,
0.25,
0.15,
0.2833333333333333,
0.25,
0.19999999999999998,
0.30000000000000004,
0.16666666666666669,
0.13333333333333336,
0.3333333333333333,
0.18333333333333335,
0.2,
0.16666666666666669,
... | 0.97117 | [
2.1798397129708977,
0.0075770942253198595,
0.17941696077689315,
-0.10584085730368668,
1.8299643677298183,
-0.2259639973897647,
1.7058476705321335,
0.1426502588387154,
1.2170624204193699,
0.07235278866026201,
0.16859341060484806,
0.20466745322400393,
0.48793226111257015,
0.15419273637229897... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -3.833333333333332,
"target_ratio": 0.97,
"target_value": -3.718333333333332
} | 35 |
5721bc29b750ff2e0c5d4fb6d5e7d30b | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [7, 31], "expectation_value": -0.598010268908305, "params": [[0.0597], [-0.0599]], "bitstrings": ["11111000", "11100000"], "total_optimization_steps": 10, "probabilities": [0.005296989864635004, 0.005445078850975602], "optimization_time": 1.5122430324554443} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.05898088205563733) q[0];
rz(-0.11516861982324494) q[0];
ry(-0.11516861982324494) q[1];
rz(-0.0014218957630719592) q[1];
cx q[1], q[0];
ry(0.03363785873728879) q[1];
rz(0.12232056754132889) q[1];
ry(0.03363785873728879) q[2];
rz(1.340588803478647) q[2];
ry(-0.05898... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[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... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-2,
-2,
-2,
-1,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975423 | [
-0.05898088205563733,
-0.11516861982324494,
-0.0014218957630719592,
0.03363785873728879,
1.340588803478647,
0.5140510440946262,
1.6881156119275331,
-0.07432694386371438,
1.1423508360410763,
0.11537448107570408,
0.280001861598485,
2.5617041670342586,
0.10075285320723114,
0.12232056754132889... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 10 |
031f86bbd0b45f66ab8a2409f4882ab1 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.655149495191537, "params": [-0.1321, 0.0026000000000000003, -0.12040000000000001, 0.001, -0.0007, 0.1681, 0.0044, 0.1688, -0.0, 0.1583, -0.0004, 0.1631, -0.0013000000000000002, 0.1588, 0.0016, 0.16490000000000002, -0.0043, 0.14500000000000002, 0.009300000000000001, 0.150800000... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.12869592452856252) q[0];
rz(-0.3563913958073641) q[0];
rx(0.06330771884369951) q[1];
rz(-0.21293884228394644) q[1];
rx(-0.15362504755955286) q[2];
rz(-0.4120182999894517) q[2];
rx(0.08522125572874462) q[3];
rz(-0.33506965658125143) q[3];
rx(0.031070932188108153) ... | 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIZIIIIZI",
"IZIZIIIIII",
"IIIIZIIIZI",
"IZIIZIIIII",
"IIIZZIIIII",
"ZIIIIIIIIZ"... | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
2.5,
-0.5,
-0.5,
-0.25,
-0.25,
0,
-0.75,
0,
-1.25,
1,
0.75,
-0.75,
1.5
] | 0.970177 | [
-0.12869592452856254,
-0.3444805144509867,
0.0633077188436995,
-0.24265195425136774,
-0.15362504755955286,
-0.3478499614007521,
0.0852212557287446,
-0.3638041617771498,
0.031070932188108153,
-0.21545732348047106,
0.14974425333995636,
-0.3232965504696119,
-0.02433635821780833,
-0.3770218166... | {
"n_parameters": 86,
"n_qubits": 10,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 5 |
c3b80229ae551785c9abf783a87d65e8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [874, 618], "expectation_value": -88.81963771081136, "params": [-0.0041, 0.0094, 0.1792, 0.0058000000000000005, 2.3103000000000002, 0.0023, 1.5113, 0.0038, 1.0819, 0.007500000000000001, 2.2953, 0.0077, 2.3041, 0.0067, -0.0018000000000000002, 0.0055000000000000005, 2.307, 0.0064, 1.0773000000000001, 0.001, 2.... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(0) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(10) @ Z(9)) + 7.5 * (Z(11) @ Z(10)) + 15.0 * Z(2) + -2.5 * Z(1) + 5.... | 18 | 12 | 1 | {"smallest_eigenvalues": [-141.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -121.5, "smallest_bitstrings": ["110110010101"], "largest_eigenvalue": 168.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.1566233756353881) q[0];
rz(0.26493692437258787) q[0];
rx(0.2763767043264138) q[1];
rz(0.3407411191942645) q[1];
rx(3.2477652896581355) q[2];
rz(-0.12239950511314536) q[2];
rx(0.5990028510305402) q[3];
rz(-0.0928579259679265) q[3];
rx(0.12097364434371555) 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, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIIIZZIIII",
"IIIZIIIIIZII",
"IIIZIIIIZIII",
"IIIZZIIIIIII",
"IIZIIIZIIIII",
"IZIIIIZIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
15,
-2.5,
5,
13,
-3.5,
25,
1.5,
13,
-7,
1.5,
14,
-4
] | 0.970295 | [
-0.15662337563538814,
0.26553077384239676,
0.2763767043264138,
0.3407411191942645,
3.2477652896581355,
-0.12239950511314536,
0.5990028510305402,
-0.0928579259679265,
0.12097364434371555,
0.29107538539429695,
2.9226060475008886,
0.5323317013987364,
3.028328164303631,
0.3743402937634418,
0... | {
"n_parameters": 35,
"n_qubits": 12,
"optimal_eigenvalue": -141.5,
"target_ratio": 0.97,
"target_value": -137.255
} | 17 |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -5.998211351150566, "params": null, "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 43, "probabilities": [0.06462233070086883, 0.9336041138231552], "optimization_time": 58.89924693107605} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "11001000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.023782534509358612) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.2362354194851212) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.2362354194851212) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.2362354194851212) q[... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZZIIIII",
"IZIIIIZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IZIIIII... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1.5,
-0.5,
0.5,
0,
2,
2,
-0.5,
-0.5
] | 0.690016 | [
0.023782534509358612,
-0.2362354194851212,
0.0030841673081000017,
-1.5267108229648716,
-1.5111620816372704,
-1.5332934594005045,
1.9304385541401896
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 207 |
7869297434716503352 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 6], [1, 4], [1, 2], [8, 0], [8, 9], [2, 4], [2, 3], [9, 3], [2, 7], [9, 1], [0, 3], [2, 5], [8, 7], [9, 5], [9, 7], [4, 7], [0, 9]]} | {"states": [179, 163], "expectation_value": -0.2951867474303802, "params": [0.7487, -0.0053, 0.7239, 0.006, 0.7357, 0.1607, 0.7133, 0.0055000000000000005, 0.8854000000000001, 0.15660000000000002, 0.8678, 0.0011, 0.7683, 0.1698, 0.7083, 0.0086, 0.8666, 0.1376, 0.8570000000000001, 0.0039000000000000003, 0.762600000000000... | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101010110", "0010100011", "1101011100", "1010101001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.044238055603759686) q[0];
rz(-0.8903046848963481) q[0];
rx(-0.07559007893792627) q[1];
rz(-0.6250977252660608) q[1];
rx(2.160395054717384) q[2];
rz(0.04916611349955513) q[2];
rx(0.22941882000981334) q[3];
rz(0.033550518208115054) q[3];
rx(-0.00594227837958694) 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": []} | [
"IZIZIIIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIIIIZZI",
"IZIIIIIIIZ",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"ZIIIIIZIII",
"IZZIIIIIII",
"IIZIIZIIII",
"IIZIIIIZII",
"ZIZIIIIIII",
"IIIIZIIZII",
"ZIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973499 | [
-0.04423805560375969,
-0.9306652048701797,
-0.07559007893792627,
-0.38160632553554924,
2.160395054717384,
-0.05411770832119296,
0.22941882000981334,
0.10330535887409797,
-0.0059422783795869405,
0.1473331096017923,
0.11558726633116442,
-0.24203909427480993,
0.20319865206984344,
0.0528569402... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 87 |
3514949562079137926 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5, 6], [0, 2, 4, 7], [0, 4, 5, 7], [0, 1, 2, 3, 7], [3, 5, 7], [1, 2, 5, 7], [2, 3, 4]]} | {"states": [220, 219], "expectation_value": -0.8799274029553723, "params": [[0.3427], [-0.33]], "bitstrings": ["00100011", "00100100"], "total_optimization_steps": 40, "probabilities": [0.009504652772158007, 0.009560049894838888], "optimization_time": 3.1777188777923584} | 0.25 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7833333333333334, "smallest_bitstrings": ["00100100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.735109594357608) q[1];
cx q[5], q[1];
h q[6];
cx q[5], q[6];
rz(0.11494133531369792) q[6];
cx q[5], q[6];
cx q[1], q[6];
cx q[5], q[0];
rz(-0.0019447836490862674) q[0];
cx q[5], q[0];
cx q[5], q[2];
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] 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": []} | [
"IIZIIIZI",
"IZZIIIII",
"IZIIIIZI",
"IIZIIIIZ",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZZI",
"IIIIIZIZ",
"IIZZIIII",
"IIIZIIIZ",
"IIIZIZII",
"ZIZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"IIZIZIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZZIII",
"ZIIIZIII",
"IIZIIII... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.05,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.13333333333333333,
0.21666666666666667,
0.21666666666666667,
0.166666666666666... | 0.814412 | [
0.735109594357608,
0.11494133531369792,
-0.0019447836490862674,
0.00018365813410844764,
-0.00009896962267062961,
-0.005465552002008078,
0.00001953205505941692,
-1.6056807152187085,
1.6044133941627954,
1.569454260885822,
1.5543242583015395,
-1.55621752565599,
1.5707463438498164,
1.568196020... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -1.8666666666666667,
"target_ratio": 0.97,
"target_value": -1.8106666666666666
} | 321 |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -2.5366564208339875, "params": [[-0.055, -0.0398, -0.061200000000000004, -0.0868], [0.07390000000000001, 0.0441, 0.059500000000000004, 0.0751]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.04452825193501642, 0.05130514908247762], "opti... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4280305935609409) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.586367014293522) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.586367014293522) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.4280305935609409... | 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": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
2,
-0.25,
-1,
-1.5,
-0.25,
0,
0.25,
0.75,
0.75
] | 0.573914 | [
-0.4280305935609409,
-0.586367014293522,
-0.5941967814927773,
0.9893183086380308,
-0.015078214242113929,
-0.4197495527732082,
-0.00750719659323729,
0.17460404483085798,
0.3564795609965509,
-0.9246051704663378
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 223 |
-1780784873200578641 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 5, 6, 8, 9], [0, 2, 3, 4, 6], [2, 3, 5, 6, 7, 9], [0, 1, 4, 5, 7, 8], [0, 5, 6, 7], [0, 2, 3, 5, 8], [1, 5, 6, 7, 9], [1, 2, 3, 4, 5, 7, 8, 9], [2, 5, 6, 7, 8, 9], [0, 3, 6, 7, 8, 9], [0, 2, 6, 7, 8, 9], [0, 1, 2, 6, 9], [1, 3, 4, 5, 6, 7, 8]]} | {"states": [757, 859], "expectation_value": -1.7665341538940156, "params": [[0.3623], [-0.3492]], "bitstrings": ["0100001010", "0010100100"], "total_optimization_steps": 40, "probabilities": [0.0032913404591127854, 0.0033056877498782618], "optimization_time": 5.474343299865723} | 0.175 * (Z(2) @ Z(3)) + 0.11547619047619048 * (Z(4) @ Z(3)) + 0.09166666666666667 * (Z(4) @ Z(2)) + 0.1488095238095238 * (Z(5) @ Z(3)) + 0.15833333333333333 * (Z(5) @ Z(2)) + 0.0988095238095238 * (Z(5) @ Z(4)) + 0.16428571428571428 * (Z(6) @ Z(3)) + 0.2238095238095238 * (Z(6) @ Z(2)) + 0.09761904761904762 * (Z(6) @ Z(4... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.5583333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.528571428571428, "smallest_bitstrings": ["0010100100"], "largest_eigenvalue": 12.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.0019090086269798433) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.018674926523986578) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.013630299976866742) q[4];
cx q[2], q[4];
h q[5];
cx q[3], q[5];
rz(-0.00316068763527... | 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": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IZIIIIZIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIIIIIZIII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIIIZIIIII",
"ZIIZIIIIII"... | [
0.175,
0.11547619047619048,
0.09166666666666667,
0.1488095238095238,
0.15833333333333333,
0.0988095238095238,
0.16428571428571428,
0.2238095238095238,
0.09761904761904762,
0.2476190476190476,
0.1488095238095238,
0.15833333333333333,
0.0988095238095238,
0.18214285714285713,
0.147619047619... | 0.945778 | [
0.0019090086269798433,
-0.018674926523986578,
-0.013630299976866742,
-0.0031606876352749703,
0.006582608314967847,
0.006883770796951218,
-0.0009784973381359238,
-0.008189419910822976,
-0.00024545982673080703,
0.004582287375485388,
-2.578077480173658,
-0.03299709278636533,
0.00190186394685524... | {
"n_parameters": 43,
"n_qubits": 10,
"optimal_eigenvalue": -2.5583333333333336,
"target_ratio": 0.97,
"target_value": -2.4815833333333335
} | 500 |
c4559e2109a60fa6a7bb29fcc8218635 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [1009, 497], "expectation_value": -1.8554352792680113, "params": [[[0.7728, -0.12300000000000001], [0.9994000000000001, 0.0016], [0.9933000000000001, -0.0007], [0.9978, 0.0015], [0.9877, 0.0023], [0.9964000000000001, 0.0012000000000000001], [0.3554, -0.3351], [0.3562, -0.3274], [0.0027, 0.7198], [0.855200000... | 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)) + 0.25 * (Z(... | 1 | 10 | 2 | {"smallest_eigenvalues": [-4.375, -4.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.375, "smallest_bitstrings": ["0010100011", "1000001110"], "largest_eigenvalue": 7.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-2.2267502685305547) q[0];
ry(0.19353574145592575) q[0];
rz(2.599961334183943) q[0];
rz(-1.5165969767059337) q[1];
ry(3.0719212486502268) q[1];
rz(1.4654866352390172) q[1];
rz(0.4778043579636426) q[2];
ry(2.913609216647238) q[2];
rz(-2.744781337562384) q[2];
rz(1.33... | 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",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIZIZIIZI",
"IIZIIIIZII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
-0.125,
0.125,
0,
-0.25,
-0.25,
-0.25,
-1,
-0.25
] | 0.976758 | [
0.3483488932283528,
-0.2405386790872588,
1.4599552313126094,
-0.0038334687317894134,
1.8013530341700412,
-0.21375279600217495,
1.7122385053536329,
-0.05670896957285064,
1.5319880079106987,
0.022230161386745315,
1.5589829718349317,
-0.12246769145582562,
0.08711207245084268,
0.95759456217530... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -4.375,
"target_ratio": 0.97,
"target_value": -4.2437499999999995
} | 43 |
a5f43532e1723f6087760e0dbad85b40 | 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": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -7.604549511915898, "params": [[0.0369], [-0.0414]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.002999574710734375, 0.0031632304475894568], "optimization_time": 2.2993252277374268} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 193.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06902538762803077) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.06902538762803077) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.06902538762803077) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.06902538762803077) q[2];
cx q[0], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
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,
14.5,
6,
22.5,
20,
14.5,
-1.5,
8.5,
23.5,
8.5
] | 0.971024 | [
0.06902538762803077,
-1.3393452961497425,
0.8885669704223492,
-1.684941583646161,
-1.4324485039798671,
0.7894781332301564,
1.2549217022731878,
-1.8131259633031465,
1.439858056165493,
-0.5950565895064822,
-0.8478317544031627,
-0.18499509550347304,
-0.3500606076077326,
-1.0914618775797964,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 65 |
5277137244527799210 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [0, 1], [1, 2], [3, 4], [2, 5]]} | {"states": [43, 42], "expectation_value": -0.006089431367790735, "params": [[[1.6261, 0.0043], [1.5087000000000002, 0.003], [1.6121, 0.0059], [1.5182, 0.006500000000000001], [1.6086, 0.0043], [1.5397, 0.0037]]], "bitstrings": ["010100", "010101"], "total_optimization_steps": 170, "probabilities": [0.019301751084478104,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(3.2676391228458845) q[0];
rz(0.8961701865303539) q[0];
rx(0.09020427289062569) q[1];
rz(0.1674064949636339) q[1];
rx(2.885929537853104) q[2];
rz(1.0345591740435593) q[2];
rx(0.06399852685138682) q[3];
rz(0.9308070308710013) q[3];
rx(3.272948737799056) q[4];
rz(0.8961... | 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[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IIIZZI",
"IZZIII",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.975391 | [
3.2676391228458845,
0.8961701865303539,
0.09020427289062569,
0.1674064949636339,
2.885929537853104,
1.0345591740435593,
0.06399852685138682,
0.9308070308710013,
3.272948737799056,
0.21134707613687712,
-0.20122035829083684
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 23 |
-5630324896410027397 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 4], [2, 4, 5], [3, 4], [1, 2, 4]]} | {"states": [3, 19], "expectation_value": -1.274475019176333, "params": null, "bitstrings": ["111100", "101100"], "total_optimization_steps": 29, "probabilities": [0.07325995462494178, 0.5480476587441592], "optimization_time": 27.13864278793335} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * Z(1) + 0.1666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.166666666666667, "smallest_bitstrings": ["000010", "101100", "010101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.1400048058737567) q[0];
h q[1];
cx q[1], q[0];
ry(0.1400048058737567) q[0];
cx q[1], q[0];
ry(0.05125252164333782) q[1];
cx q[0], q[1];
ry(-0.05125252164333782) q[1];
cx q[0], q[1];
ry(0.8223113227721199) q[1];
ry(-0.25736942482671854) q[0];
h q[2];
h q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.4449) q[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",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"ZZIIII",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5000000000000001,
0.3333333333333333,
0.16666666666666666,
0
] | 0.979901 | [
1.4047628196801263,
-1.2557202541827004,
-0.2800096117475134,
-0.3554034703521769,
-0.06527488764655896,
0.10250504328667565,
0.8223113227721199,
-0.5223988553349956,
0.5505984524340961,
0.5610342637126242,
-0.5147388496534371,
0.2641173260144707,
-0.7650703044211512,
0.6833417728121738,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 12 |
8430149233521890326 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3, 4, 5], [1, 2, 3, 5], [0, 3, 5], [0, 4, 5], [2, 4, 5], [2, 3, 4]]} | {"states": [58, 7], "expectation_value": -0.025635929071646555, "params": [[0.0468], [-0.0417]], "bitstrings": ["000101", "111000"], "total_optimization_steps": 10, "probabilities": [0.015910281320842844, 0.015941455955335467], "optimization_time": 0.6031923294067383} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.41666666666666663 * (Z(5) @ Z(4)) + 0.25 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.7500000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5833333333333333, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 5.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.27059089013438353) q[0];
h q[1];
ry(-0.19377901187632945) q[1];
h q[2];
ry(-2.8710903482545715) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.3403703007899658) q[4];
cx q[2], q[4];
ry(0.3403703007899658) q[4];
cx q[2], q[4];
ry(-0.20977718142203314) q[2];
cx q[4], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1... | null | {"circuits": [], "gradients": []} | [
"IIZIZI",
"IZZIII",
"IZIIZI",
"ZIZIII",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IIIZZI",
"IZIZII",
"ZIIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIIIIZ"
] | [
0.16666666666666666,
0.25,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.41666666666666663,
0.25,
0.08333333333333333,
0.3333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5833333333333335,
0.24999999999999994,
0.6250000000000001,
... | 0.97362 | [
1.653652392976723,
1.0276558019735758,
-0.6807406015799315,
0.5452764389721979,
-0.5411817802687671,
-0.4195543628440663,
0.7990511419929146,
-0.49594251163003095,
0.5841667003386877,
-0.5351361541393662,
0.5877178352209745,
-0.5875550935690131,
-0.672116976417354,
-0.3875580237526589,
-... | {
"n_parameters": 26,
"n_qubits": 6,
"optimal_eigenvalue": -1.7500000000000002,
"target_ratio": 0.97,
"target_value": -1.6975000000000002
} | 7 |
b87e5cfba545cc44bae94201728d3922 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target":... | {"states": [170, 171], "expectation_value": -5.731001098343546, "params": [[[-0.0021000000000000003, 0.007500000000000001], [0.3788, 0.0005], [1.7137, 0.0047], [-0.0014, 0.0045000000000000005], [1.7121000000000002, 0.0025], [-0.0027, 0.0006000000000000001], [1.7001000000000002, 0.006], [0.3841, 0.0067], [1.6992, 0.0026... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1101010100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.013757664778873607) q[0];
rz(0.391602723333908) q[0];
rx(0.03886154201770617) q[1];
rz(0.18538172972284328) q[1];
rx(3.1797977464569116) q[2];
rz(-0.7566127096374133) q[2];
rx(-0.1923173707944031) q[3];
rz(-1.0361590618327916) q[3];
rx(3.0685375784457176) 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": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIIIZIIIZI",
"IZIIIIIIZI",
"ZIIIIIZIII",
"ZIZIIIIIII",
"ZIIIIIIIZI",
"IIIIIIZZII",
"IIIIZIIZII",
"IIZZIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1,
-2,
-1,
-0.5,
-1,
-1,
-0.5,
0
] | 0.981414 | [
0.013757664778873607,
0.391602723333908,
0.03886154201770617,
0.18538172972284328,
3.1797977464569116,
-0.7566127096374133,
-0.1923173707944031,
-1.0361590618327916,
3.0685375784457176,
0.39957382269032565,
0.11729216841937734,
0.10159034348977795,
2.970917292415685,
1.2922502163860379,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 29 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [42, 50], "expectation_value": -0.009584207849680088, "params": [[0.016900000000000002], [-0.020300000000000002]], "bitstrings": ["010101", "001101"], "total_optimization_steps": 10, "probabilities": [0.015753676839548238, 0.01575367683954824], "optimization_time": 1.4924440383911133} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
e98b53e0167756e0364419ca81191dd8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [7, 120], "expectation_value": -0.0843575103017105, "params": [[-0.019700000000000002, 0.0587], [0.0443, -0.0366]], "bitstrings": ["1111000", "0000111"], "total_optimization_steps": 10, "probabilities": [0.008435731943633866, 0.008509094813875141], "optimization_time": 3.3176047801971436} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000111"], "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(-0.24909120364595053) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.24909120364595053) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.24909120364595053) q[2];
cx q[4], q[2];
rz(1.193373369563484) q[4];
rx(0.88264671234436... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
c... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIZIZII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5,
-0.5
] | 0.9471 | [
-0.24909120364595053,
1.193373369563484,
-2.0987034762529904,
0.8826467123443694,
0.7130854719426324,
-1.607622645586924,
2.3151552480734114,
-1.156367733753227,
0.5197043517845391,
-1.2593119444119423,
1.382078940991915,
-0.6706278912224314
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 359 |
9c1e6a3980f3bb1dae64cbc435fcdb47 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 6, "ta... | {"states": [112, 124], "expectation_value": -6.766482616999425, "params": null, "bitstrings": ["0001111", "0000011"], "total_optimization_steps": 55, "probabilities": [0.16463211302808517, 0.6295171283799067], "optimization_time": 54.88323998451233} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(5) + -1.5 * Z(4) + 1.0 * Z(3) + 1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["0000011", "0001100", "0001111"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0812391634231644) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.1967676096649328) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.19676760966493312) q[1];
rx(-0.9197832198265156) q[1];
rz(-1.0812391634231644) q[2];
cx q[0], q[2];
rz(-0... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZZIIII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"IIIZIII",
"ZIIIIII"
] | [
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1,
1
] | 0.644768 | [
-1.0812391634231644,
-0.1967676096649328,
-0.6115149746784305,
-0.9197832198265153
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 116 |
edf882d81ff9cc6dd04b2b372b99a445 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.8381879793710222, "params": [[-0.028900000000000002, 0.0477, 0.0704], [0.0597, -0.0211, -0.0471]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006231664411816749, 0.0062374076762947974], "optimization_time": 5.242608547210693... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.294178110467672) q[0];
h q[1];
ry(0.1383616754257138) q[1];
h q[2];
ry(1.575815943169374) q[2];
h q[3];
h q[4];
ry(0.787907971584687) q[4];
cx q[2], q[4];
ry(-0.787907971584687) q[4];
cx q[2], q[4];
h q[5];
ry(0.8388306177923908) q[5];
cx q[3], q[5];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.75,
1.25,
-1,
-0.75,
-1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-1.25,
0,
-0.25,
-1,
-1,
0.5,
1.75,
-1.5,
1.5
] | 0.970238 | [
1.575815943169374,
1.432087070104017,
1.6776612355847815,
0.2767233508514276,
1.12397130943726,
0.7756512232512143,
0.9641730776805216,
-2.588356220935344,
-0.040075839562897835,
0.12549881444488223,
-0.21414780392445198,
0.47502116310819115,
0.5052557870900131,
-0.12045094258741418,
-0.... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 221 |
d1e337a2e105918e8c64bf021321a2d3 | connected_components | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [62, 60], "expectation_value": -0.33900721989188276, "params": [[-0.047], [0.056400000000000006]], "bitstrings": ["000001", "000011"], "total_optimization_steps": 10, "probabilities": [0.01824380986613964, 0.01825109732986749], "optimization_time": 1.455237627029419} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.1250101749676743) q[0];
h q[1];
ry(0.20959771976513494) q[1];
h q[2];
ry(1.7180141321038174) q[2];
h q[3];
cx q[3], q[1];
ry(-0.20959771976513494) q[1];
cx q[3], q[1];
cx q[1], q[0];
ry(-0.1250101749676743) q[0];
cx q[1], q[0];
ry(1.5837809674018735) 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;
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[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x1) q[3]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.970501 | [
0.4191954395302699,
0.2500203499353486,
3.167561934803747,
0.39601762078621333,
3.4360282642076347,
-1.431777043166703,
-1.0726156679952932,
2.4472778962911232,
-1.7140095510696993,
-1.1779722872815033,
-0.19288942722124652,
-0.9021325308104403,
2.0540666932332177,
0.13607092260007048,
-... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 108 |
6d3ac8777508c3ce14be216c4e1f05a6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [283, 319], "expectation_value": -15.531145330740863, "params": null, "bitstrings": ["1011100100", "1011000000"], "total_optimization_steps": 100, "probabilities": [0.05997984458628444, 0.5069403555480629], "optimization_time": 194.9715027809143} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + 1.0 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -3.5 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["1011000000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.08057429614452284) q[1];
h q[2];
ry(-1.523974432714227) q[2];
h q[3];
h q[4];
h q[5];
ry(0.5904681359969723) q[5];
h q[6];
ry(0.08057429614452284) q[6];
h q[7];
ry(0.08057429614452284) q[7];
h q[8];
cx q[8], q[7];
ry(-0.08057429614452284) q[7];
cx ... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIIZIIIIII",
"IZIIZIIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IIZIIIIIZI",
"IIIZIIIIZI",
"IZIIIIIIZI"... | [
0.5,
0.5,
0.5,
-2,
-2.5,
-2.5,
-2.5,
1,
-3,
0.5,
1,
-2.5,
0.5,
0.5,
-3.5,
1,
-2.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970634 | [
0.16114859228904568,
1.597101986644958,
1.4428745348496541,
1.1809362719939447,
-0.4517791622332738,
0.5875480846224597,
1.3527533651081518,
0.08364002773227641,
0.07129339641685088,
1.4084096071731513,
-0.05052921803157275,
0.49045127925713805,
-1.523974432714227,
-0.1306375983469747,
-... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 89 |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [0, 1], "expectation_value": -2.8230954618857917, "params": [[[0.0033, 0.006200000000000001], [0.0027, 0.003], [1.1643000000000001, 0.0027], [1.6074000000000002, 0.0081]]], "bitstrings": ["1111", "1110"], "total_optimization_steps": 160, "probabilities": [0.3360902532444325, 0.3615945553031034], "optimizatio... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13943302053146128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2546523334796689) q[2];
cx q[1], q[2];
rz(-0.7155720410694917) q[1];
rx(-1.7587368543198154) q[1];
rz(0.6317748164920753) q[2];
rx(-1.7587368543198154) q[2];
h q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x2) q[2];
rx(x5) q[3];
rz(x6) q[3];
c[0] = measure q... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-0.75,
1,
-1,
-1.75,
-0.25,
1,
1
] | 0.974967 | [
-0.13943302053146128,
0.6317748164920755,
-0.2546523334796689,
-0.7155720410694918,
-0.8847263429635749,
-1.7587368543198154,
-0.39840533455052923,
0.9596950419953695,
-0.3894973625686309,
-1.5007620154927859,
-0.8383337619275093,
-0.8965996704617766
] | {
"n_parameters": 12,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 48 |
01c79553cd838cd252f6e60dedff49e5 | 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": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [128, 127], "expectation_value": -2.343179711355489, "params": [[-0.0629, -0.0771, -0.078], [0.0653, 0.0733, 0.0736]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.012467304527510395, 0.015064429945375504], "optimization_time": 4.896023511886597} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.0845213497005627) q[0];
rz(-pi) q[1];
ry(-3.0455609286004646) q[1];
h q[2];
ry(1.4919071887247282) q[2];
h q[3];
ry(0.7240132628322454) q[3];
h q[4];
ry(0.9793324905949224) q[4];
h q[5];
ry(1.5402453113042955) q[5];
h q[6];
cx q[6], q[3];
ry(-0.72401326283... | 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",
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-0.5,
-0.75,
0.5,
-0.5,
-0.75,
-0.5,
-2,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0.5,
-0.25,
-0.25,
-0.75,
-1.25,
0.5,
-0.75,
2.25
] | 0.977783 | [
1.5402453113042955,
1.4480265256644909,
-0.6838943024593398,
1.4919071887247282,
1.6837402841554543,
1.958664981189845,
-1.8541117649949548,
1.9567893576185749,
2.1258717747278064,
-0.1690426994011254,
3.770151024236896,
-0.7583358906758061,
-0.4200762250226027,
1.8848100973159259,
-1.08... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 81 |
a7fba5c7fdc2a0492603f740d30b0e3e | 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": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [28, 30], "expectation_value": -0.11809927848215798, "params": [[0.0582], [-0.0472]], "bitstrings": ["100011", "100001"], "total_optimization_steps": 10, "probabilities": [0.016652640104356943, 0.016996094476579945], "optimization_time": 1.1273283958435059} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 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(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"], "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(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
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;
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[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
-0.5,
0,
-1.5
] | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
41c6fd253707f3493d5d4e5aa1da9109 | 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": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -11.140723414821194, "params": [0.0027, 0.47900000000000004, 0.0025, 0.48100000000000004, 0.0023, 0.4801, 0.0025, 0.5754, 0.0028, 0.5833, -0.0007, 0.1116, 0.0025, 0.5759000000000001, 0.7989, 0.0025, 0.0029000000000000002, 0.0001, 0.0025, 0.0066, 0.0023, 0.002, 0.0025, 0.003100000... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 3 | 8 | 2 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28125291389735185) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3738758539816298) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3738758539816298) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28125291389735185) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
3.25,
-0.25,
-0.25,
-1,
1.25,
-0.25,
-2,
1,
-0.5,
-1,
2.25,
-0.75
] | 0.512164 | [
-0.28125291389735185,
-0.3738758539816298,
-0.4435290057877126,
-0.2655182352206827,
0.17641094697920026,
0.5370834376657896,
-1.2333040601047265,
0.9898846684859016,
1.6266519609754448,
-1.1954762728719215
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 249 |
da62bff661bc86873d0aee1ded709754 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [744, 746], "expectation_value": -4.181236020118888, "params": [[[1.5661, 0.0019], [0.0027, -1.1634], [1.5747, -0.0023], [1.5739, 0.0019], [1.5744, -0.0021000000000000003], [0.0031000000000000003, 1.2336], [1.5730000000000002, 0.0021000000000000003], [-0.0025, 1.6161], [0.8439000000000001, 0.0043], [-0.0027,... | 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)) + 0.25 * (Z(... | 1 | 10 | 2 | {"smallest_eigenvalues": [-4.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.625, "smallest_bitstrings": ["0100010101"], "largest_eigenvalue": 7.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.369161440919508) q[0];
ry(0.24950722958511654) q[0];
rz(0.899104490224282) q[0];
rz(1.463108752418747) q[1];
ry(2.8030582427181523) q[1];
rz(-1.5450459325495818) q[1];
rz(1.3979851988314174) q[2];
ry(0.10626081644330947) q[2];
rz(0.23339370272835236) q[2];
rz(-1.66... | 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",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIZIIZIIIZ",
"IZIIIIIIZI"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.125,
0.125,
0.125,
0,
0,
0,
-0.75,
-0.25,
-0.7... | 0.981613 | [
0.1531310707494347,
0.6303485691855849,
0.6910022691513715,
-0.16623671178622054,
-0.008360964568228033,
0.4494027869243768,
0.8199309159376724,
-0.06043918518706215,
0.8180101043064927,
0.09458864812461654,
0.1050201381124832,
-0.6853503169017136,
0.19471287790194716,
0.5360797991290474,
... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 6 |
0a88b29c6d69b583bcda2e7f0e1608b8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -13.624497802459485, "params": [-0.00030000000000000003, -0.09390000000000001, -0.0083, -0.1374, 0.0027, -0.1213, 0.0027, -0.13470000000000001, 0.0022, -0.1557, 0.0043, -0.15080000000000002, 0.0022, -0.1348, 0.0002, -0.1296, 0.0039000000000000003, -0.1431, 0.0021000000000000003, ... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(... | 5 | 9 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.03062873105647399) q[0];
rz(-0.21773373903454996) q[0];
rx(-0.00988025896180452) q[1];
rz(-0.03967639065443507) q[1];
rx(0.20785578655635797) q[2];
rz(-0.02080315560861834) q[2];
rx(0.20785578655635795) q[3];
rz(-0.12841037713873726) q[3];
rx(0.19020924560611377) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIZIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-0.25,
-1.25,
-1.25,
-0.75,
-1.25,
-0.75,
-1.5,
-1.25,
3,
-1.25,
-1.75,
-0.25,
-0.25,
-0.25,
-0.25,
-1.25,
1.25,
-0.25,
1,
-0.25,
-2,
-2.25,
1.5,
2,
-1
] | 0.982116 | [
-0.03062873105647399,
-0.12690437102245075,
-0.00988025896180452,
-0.03548707517917464,
0.20785578655635795,
-0.0384240620886955,
-0.12827002909885188,
0.19020924560611374,
-0.3758318210372185,
-0.22425702392421312,
-0.3043213260486306,
-0.07787069850147006,
-0.3181508068484042,
-0.2291533... | {
"n_parameters": 145,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 14 |
6484834437226800471 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4, 6, 7], [0, 5], [3, 5]]} | {"states": [211, 242], "expectation_value": -0.02390335842043311, "params": [[0.0743], [-0.07440000000000001]], "bitstrings": ["00101100", "00001101"], "total_optimization_steps": 10, "probabilities": [0.004103227233509285, 0.004103227233509285], "optimization_time": 2.1286962032318115} | 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.1 * Z(2) + 0.1 * Z(1) + 0.1 * Z(4) + 0.1 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(-0.5137422452837753) q[2];
cx q[1], q[2];
ry(0.5137422452837753) q[2];
cx q[1], q[2];
ry(-0.10065700764097371) q[1];
cx q[2], q[1];
ry(0.10065700764097371) q[1];
cx q[2], q[1];
ry(-0.07001195282108426) q[2];
ry(-0.002155238839234304) q[1];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIZIII"
] | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.1,
0.1,
0.1,
0.1,
0.1,
0,
0,
0
] | 0.972062 | [
-0.9832364975404541,
1.3755127073122557,
-0.5647184777909868,
1.3753502448397068,
0.21800111152446866,
-0.46948279537947835,
0.1951253207951374,
0.7054255721930438,
0.7775150377300192,
-0.6400278384153306,
0.019393846482221783,
0.17163633887674756,
0.26186488771334987,
-0.5220012047021363,... | {
"n_parameters": 51,
"n_qubits": 8,
"optimal_eigenvalue": -1.2000000000000002,
"target_ratio": 0.97,
"target_value": -1.1640000000000001
} | 18 |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [235, 255], "expectation_value": -11.963909190111853, "params": [[0.0761], [-0.2602]], "bitstrings": ["1100010100", "1100000000"], "total_optimization_steps": 30, "probabilities": [0.0036681235906774593, 0.003735348433437259], "optimization_time": 3.287700891494751} | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 55.166666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1813424485071628) q[0];
cx q[1], q[0];
rz(-0.12463552154992241) q[0];
rx(-1.2421529423468263) q[0];
rz(-0.2544248103281359) q[1];
rx(-1.2421529423468265) q[1];
cx q[1], q[0];
rz(-3.2205034676259676) q[0];
cx q[1], q[0];
rz(1.4810378... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZZ",
"IIIIIZIIII",
"IIIIIIIZII"... | [
0.5,
1,
2,
0.5,
1,
1,
2,
2,
-0.5,
-1,
-0.5,
-1,
0.5,
1,
0.5,
1,
0.5,
-0.3333333333333333,
2,
4.5,
9,
5,
10,
-2,
2.5,
2.5,
-1,
-0.5
] | 0.950569 | [
0.06583836217984403,
0.02424617956702617,
0.02628092965861942,
-0.12463552154992238,
-0.25442481032813585,
-0.1813424485071628,
1.6448560843536073,
1.9812957884316302,
1.6043223553640227,
2.003992131822368,
1.9286176302370583,
1.298515420062773,
-1.2421529423468265,
-0.6759533731163639,
... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -24.833333333333336,
"target_ratio": 0.97,
"target_value": -24.088333333333335
} | 500 |
348c13052b9cd507aa792296e385f0a4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -1.4094354136724243, "params": [[0.0618, 0.0611, 0.0722], [-0.053500000000000006, -0.053000000000000005, -0.0536]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.018015889864035406, 0.019824173290351042], "optimization_time": 4.79313755... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.06478935654218318) q[0];
rz(0.010473094700834906) q[0];
rx(-0.21029945099044114) q[1];
rz(0.36193904458961335) q[1];
rx(-0.12407138095515016) q[2];
rz(0.046088532858524545) q[2];
rx(0.1874119633339978) q[3];
rz(0.35704809683533245) q[3];
rx(-0.0838195345979585) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-1,
-0.75,
-0.5,
2,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0.75,
1.5,
-1,
-0.5,
-0.25
] | 0.979758 | [
0.06478935654218318,
0.20218073164039307,
-0.21029945099044114,
0.4704675727431508,
-0.12407138095515018,
0.33009272048242233,
0.18741196333399776,
0.12867352073879185,
-0.08381953459795849,
-0.28813328048276804,
0.29408685795202144,
-0.42763869643912095,
0.9971024611824714,
0.068911216138... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 8 |
d41e3eacf3834dd0b9753433ef423092 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [504, 508], "expectation_value": -10.292398658236637, "params": null, "bitstrings": ["000000111", "000000011"], "total_optimization_steps": 100, "probabilities": [0.16127000220987467, 0.3267416789930431], "optimization_time": 174.49083590507507} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(6)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(6)) + -2.5 * (Z(5) @ Z(1)) + 1.5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.793796357013214) q[0];
h q[1];
ry(0.8029358546676116) q[1];
h q[2];
ry(0.793796357013214) q[2];
h q[3];
ry(0.7139786636024608) q[3];
h q[4];
ry(0.7166592249214208) q[4];
h q[5];
h q[6];
ry(0.793796357013214) q[6];
cx q[5], q[6];
ry(-0.793796357013214) q[6];... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[5], q[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... | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIIIIIIZZ",
"IIZIIIIZI",
"IIIIIZIIZ",
"IIZIIZIII",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIIZ",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"... | [
-1.5,
0.5,
-3,
0.5,
-3,
0.5,
-3,
-2.5,
1.5,
-2.5,
-2.5,
0.5,
-3,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.931101 | [
1.587592714026428,
1.6058717093352233,
1.4279573272049215,
1.4333184498428415,
0.7901196319267348,
-2.1071227919196307,
1.3216353747902008,
1.3697170830326755,
-0.42215394475013807,
-0.14736119960873412,
-0.9487736068054605,
-0.39048808465013907,
0.48382920502432164,
-0.017257197969548905,... | {
"n_parameters": 67,
"n_qubits": 9,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 500 |
5f46e3caaa931f446d5d37e76f941f6b | 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": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [65, 1], "expectation_value": -12.999993510485895, "params": null, "bitstrings": ["0111110", "1111110"], "total_optimization_steps": 19, "probabilities": [6.489458717164528e-07, 0.9999993510435916], "optimization_time": 13.362584114074707} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.05661121897376136) q[0];
h q[1];
ry(-1.604518163982522) q[1];
h q[2];
ry(-1.604518163982522) q[2];
h q[3];
ry(-1.604518163982522) q[3];
h q[4];
ry(-1.604518163982522) q[4];
h q[5];
ry(-1.604518163982522) q[5];
h q[6];
ry(1.5022165539344468) q[6];
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(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-0.25,
-0.75,
-1.25,
2.5,
-0.75,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1.25,
-0.75,
-0.25,
-0.5,
0.5,
1.5,
-1,
0.5
] | 0.997589 | [
1.5022165539344468,
-1.604518163982522,
-0.04577876357227252
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 1 |
92e0d9744e7b0376f2c61fec7a621b77 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [1642, 1386], "expectation_value": -1.2839907637525263, "params": null, "bitstrings": ["100110010101", "101010010101"], "total_optimization_steps": 100, "probabilities": [0.03787457367909165, 0.490642503860998], "optimization_time": 352.784793138504} | 0.25 * (Z(0) @ Z(1)) + -0.0014030612244897958 * (Z(2) @ Z(0)) + -0.0014030612244897958 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002551020408163265 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.0002551020408163265 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0003826... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5147959183673474, -1.5147959183673474], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107142857142857, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5158163265306124} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | null | {"communities_size": 3, "number_of_communities": 2} | {"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(-0.595) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0014030612244897958,
-0.0014030612244897958,
0.25,
0.0002551020408163265,
-0.001020408163265306,
0.0002551020408163265,
-0.001020408163265306,
0.25,
0.0003826530612244898,
0.0011479591836734695,
-0.001020408163265306,
0.0003826530612244898,
0.0011479591836734695,
-0.001020408163... | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
b25c0178baebce4bd0226f17c2701e5a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1320, 1336], "expectation_value": -147.8483379140794, "params": [[0.0022, 0.6288, 0.0653, 0.6395000000000001, -0.053500000000000006, 0.059000000000000004, 0.7921, 0.004200000000000001, 0.7893, 0.0037, -0.0013000000000000002, -0.22240000000000001], [0.0019, 0.6309, 0.07400000000000001, 0.6421, -0.0609, -0.01... | 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(3) @ Z(1)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(7) @ Z(2)) + 8.5 * (Z(6) @ Z(7)) + 8.5 * (Z(8) @ Z(4)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(8) @ Z(6)) + 8.5 * (Z(5) @ Z(7)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(5) @ Z(8)) + 8.5 * (Z(10) @ Z(1)) + 8.5 * (Z(10) @ Z(3)) + 8.5 * (Z(11) @ Z(6)) + 2.5 * Z(2... | 10 | 12 | 4 | {"smallest_eigenvalues": [-172.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -148.5, "smallest_bitstrings": ["101011000111"], "largest_eigenvalue": 269.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.060817895524927654) q[0];
ry(0.4161298313742119) q[1];
ry(-0.1764662112150402) q[2];
ry(0.6134737336360373) q[3];
ry(0.09856725499181639) q[4];
ry(-0.13048301810100307) q[5];
ry(1.0543489539631956) q[6];
ry(-0.13497926707436786) q[7];
ry(0.7203808359887878) 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], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZZIII",
"IIIIZIIIIZII",
"IIIIZZIIIIII",
"IIIZIIIZIIII",
"IIIZZIIIIIII",
"IIIZIZIIIIII",
"IIIIZIZIIIII",
"IIIIIZZIIIII",
"IIIZIIZIIIII",
"IZIIIIIIIIZI",
"IZIIIIIIZIII",
"ZIIIIZIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIZIII",
"IIIIIIIZI... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
2.5,
16.5,
18,
3.5,
26.5,
24.5,
24.5,
12,
2.5,
-6,
-14,
-12
] | 0.974532 | [
-0.060817895524927654,
0.4161298313742119,
-0.1764662112150402,
0.6134737336360373,
0.09856725499181639,
-0.13048301810100307,
1.0543489539631956,
-0.13497926707436786,
0.7203808359887878,
-0.07021704928477665,
0.1261766522400028,
-0.15236039148220004,
-0.12581463905122225,
0.4379397934477... | {
"n_parameters": 56,
"n_qubits": 12,
"optimal_eigenvalue": -172.5,
"target_ratio": 0.97,
"target_value": -167.325
} | 16 |
91b3425767d7686611171398f417493f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 4, "source": 1, "target": 7}, {"capac... | {"states": [319, 511], "expectation_value": -12.536904375577615, "params": null, "bitstrings": ["1011000000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.11326343358668033, 0.6595078353356596], "optimization_time": 246.1247432231903} | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(9)) + -1.25 * (Z(3) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7591114759418567) q[0];
h q[1];
ry(0.5443345677520414) q[1];
h q[2];
ry(0.5443345677520414) q[2];
h q[3];
cx q[3], q[2];
ry(-0.5443345677520414) q[2];
cx q[3], q[2];
ry(-0.023733419325442658) q[3];
ry(-0.018613172468237314) q[2];
h q[4];
ry(-0.04182404979... | 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];\ncry(1.5708) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIZZIIIII",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IZIIIIZIII",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII"... | [
-0.25,
-0.5,
-1.25,
-1,
-1,
-1.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.25,
-1,
-0.25,
-1.25,
-0.75,
-0.5,
-2,
-1.25,
-1.25,
-0.25,
-0.75,
-0.25,
-0.25,
0.25,
0,
-1,
0.25,
-0.5,
1.25,
-0.75,
1
] | 0.947311 | [
1.0886691355040827,
-0.08364809959726165,
1.5553032145041832,
-0.047466838650885315,
-0.03722634493647463,
-0.1331412565036091,
-0.0318123448968556,
0.08863853611797129,
1.026667953731497,
0.5649304653940624,
1.576743362053867,
-1.5182229518837134,
0.6448818573851265,
-0.040195356336282476... | {
"n_parameters": 62,
"n_qubits": 10,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 500 |
26d7f56e59bfdf48052023802b40605b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 5], "expectation_value": -0.15855172624477104, "params": [[0.0658, 0.07300000000000001], [-0.0687, -0.07300000000000001]], "bitstrings": ["10110", "11010"], "total_optimization_steps": 10, "probabilities": [0.03779055446501813, 0.03779055446501814], "optimization_time": 2.7682418823242188} | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "10110"], "largest_eigenvalue": 4.5} | 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] 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIZZI",
"IIIZZ",
"ZIIIZ",
"ZIIZI",
"ZIIZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
0
] | 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 |
c564307a23461b97da6b6966b1ccdaf8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [11950, 12014], "expectation_value": -2.182408630326816, "params": [[1.5858, 0.278, 1.5832000000000002, 0.20170000000000002, 1.5851000000000002, 0.1889, 1.5810000000000002, -0.0004, 1.5838, -0.0013000000000000002, 1.5810000000000002, 0.1424, 1.5812000000000002, 0.1942], [1.5812000000000002, 1.0966, 1.5790000... | 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)) + 0.03125 * ... | 10 | 14 | 1 | {"smallest_eigenvalues": [-4.156250000000012], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.156250000000001, "smallest_bitstrings": ["01000100010001"], "largest_eigenvalue": 5.843750000000021} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.321083287877318e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-3.321083287877318e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-3.321083287877318e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-3.321083287877318e-08) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZZII",
"IIIIIIIIIIIZZZ",
"IIIIIIIIIIZIZZ",
"IIIIIIIIIIZZIZ",
"IIIIIIIIIIZZZI",
"IIIIIIIIIIZZZZ",
"IIIIIIIIIZIIIZ",
"IIIIIIIIZIIIIZ",
"IIIIIIIZIIIIIZ",
"IIIIIIZIIIIIIZ",
"IIIIIZIIIIIIIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
... | 0.692308 | [
-3.321083287877318e-8,
1.5707965246870308,
-1.5707962648569997,
-1.5707960983611948,
1.5707962253726504,
0.011359167424257357,
0.5080458096112247,
-1.3261072837870627,
0.3074400487167398,
-3.1415925855830524
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 253 |
96aa688a41503b0eea4bda42198f6281 | 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": 4, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 3, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -29.141179963232613, "params": [[0.0229, 0.0051, -0.0095], [-0.07740000000000001, -0.0805, -0.0644]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.007026107256473752, 0.009467953669723294], "optimization_time": 6.67441248893737... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 166.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1309828985838556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1309828985838556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1309828985838556) q[2];
cx q[0], q[2];
rz(-0.1539228319124235) q[0];
rx(-0.11835153931238239) q[0];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
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,
12,
2,
15.5,
10.5,
16,
22,
14.5,
8,
-1.5
] | 0.971118 | [
0.1309828985838556,
0.594262456020538,
-0.1539228319124228,
0.12446024266432326,
-0.6149272815905993,
-0.08643543530531737,
0.3525135566268864,
0.9509792797491994,
-0.18849338277309924,
-0.7155564044841078,
-0.11835153931238239,
-0.10838480904433179,
0.9411007451254257,
-1.130705164161819,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 54 |
1a8155b224db54664a68f055f033253f | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 3}]} | {"states": [61367, 60855], "expectation_value": -14.666525805082898, "params": [[[3.1616, 0.009600000000000001], [1.8332000000000002, 0.0071], [2.9111000000000002, 0.0073], [1.4418, 0.0021000000000000003], [3.1607000000000003, 0.0081], [3.1618, 0.0067], [1.5679, 0.0017000000000000001], [1.6303, 0.0046], [3.1618, 0.002]... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 1 | 16 | 1 | {"smallest_eigenvalues": [-18.499999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.499999999999947, "smallest_bitstrings": ["0001001001001000"], "largest_eigenvalue": 63.50000000000013} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-1.7976347027261054e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-1.7976347027261054e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-1.7976347027261054e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(-1.7976347027261054e-08) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
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,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.... | 0.891892 | [
-1.7976347027261054e-8,
-1.2399449651503569e-8,
-1.5707962915080487,
-1.5707964004599495,
1.5707963785331627,
-1.5707963408864278,
-1.5707964034514517,
1.5707963010445554
] | {
"n_parameters": 8,
"n_qubits": 16,
"optimal_eigenvalue": -18.49999999999997,
"target_ratio": 0.97,
"target_value": -17.944999999999972
} | 280 |
-3726085232856850327 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 5, 8], [0, 6, 7], [8, 5, 7], [5, 6], [2, 6]]} | {"states": [378, 506], "expectation_value": -0.9007231648964514, "params": [[0.6739], [-0.3985]], "bitstrings": ["010000101", "000000101"], "total_optimization_steps": 70, "probabilities": [0.009297166974529935, 0.009340321630215736], "optimization_time": 2.591459035873413} | 0.05 * (Z(1) @ Z(3)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(4)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.1666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8666666666666671], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8666666666666667, "smallest_bitstrings": ["000000101"], "largest_eigenvalue": 4.0} | 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[1];
rz(0.0844887233967927) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.0844887233967927) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0844887233967927) q[4];
cx q[1], q[4];
h q[5];
cx q[3], q[5];
rz(0.0844887233967927) q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3],... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IZIZIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IZIIIIIIZ",
"IIZIIIZII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.1,
0.1,
0.1,
0.26666666666666683,
0.26666666666666666,
0.16666666666666674,
0.... | 0.602366 | [
0.0844887233967927,
0.6187623109904019,
0.9687818641741041,
0.1536513614380588,
1.3045321206297036,
0.03071019314478176,
1.4934992582904427,
-0.11874827550254126,
-0.8600960294165888
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -1.8666666666666671,
"target_ratio": 0.97,
"target_value": -1.810666666666667
} | 202 |
b4d49656bffdf06123a6759fe750c954 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -18.64029873635895, "params": [-0.0363, 0.0009000000000000001, 0.052700000000000004, 0.0034000000000000002, 0.0021000000000000003, 0.5650000000000001, 0.0022, 0.0078000000000000005, 0.013800000000000002, 0.0031000000000000003, -0.0083, 0.0054, 0.8081, 0.0039000000000000003, 0.8... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -0.75 * (Z(11) @ Z(0)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(9)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(... | 6 | 12 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.03590676149021464) q[0];
rz(pi/2) q[0];
ry(0.059795606217184674) q[1];
ry(0.19351506903453203) q[2];
ry(0.27619808624025) q[3];
ry(0.16218461761515757) q[4];
ry(0.04264955184039291) q[5];
ry(-0.012788416687019431) q[6];
ry(-0.11669887957070815) q[7];
ry(0.12535437... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIIIIIIIIIZ",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IIIIIIZIIIZI",
"IIIIIIIIIZZI",
"IIIIZIIIIIZI",
"IIIIIIZZIIII",
"IIZIIIIZIIII",
"IIIIIIIZIIZI",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIZIIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIII... | [
-0.75,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-1.5,
-0.75,
-0.5,
-0.75,
-0.75,
2.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.25,
0.5,
... | 0.980924 | [
0.03590676149021464,
0.059795606217184674,
0.19351506903453203,
0.27619808624025,
0.16218461761515757,
0.04264955184039291,
-0.012788416687019431,
-0.11669887957070815,
0.12535437746036254,
-0.18442818217748028,
-0.020326345139441232,
0.13506204257674642,
0.011920069052916298,
0.1510344717... | {
"n_parameters": 152,
"n_qubits": 12,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 6 |
410de2f5e7b085a9584492471fcec789 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [156, 140], "expectation_value": -6.242049781975992, "params": [0.0028, -0.0005, 0.30410000000000004, 0.3015, -0.015300000000000001, -0.0151, 0.0089, 0.012100000000000001, 0.22010000000000002, 0.2209, 0.2964, 0.3044, 0.3012, 0.3014, 0.0273, 0.031100000000000003, 0.1579, 0.1572, -0.0029000000000000002, 0.0005... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -6.5, "smallest_bitstrings": ["111011010", "101110011", "101111001", "110111001", "101100111", "101111010", "111010011", "101101110", "101101101"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.17184980415359202) q[0];
ry(1.3095299978766257) q[1];
ry(-0.14694001712269134) q[2];
ry(0.07165593829439787) q[3];
ry(0.8629317787092313) q[4];
ry(0.019688720525559825) q[5];
ry(0.14744705118820456) q[6];
ry(0.7537683714961805) q[7];
ry(0.8425069824343094) q[8];
cz... | 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] 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 flo... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIIZIIZII",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIIZZIII",
"IZIIIZIII",
"IIIIIZZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"... | [
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,
-2.5,
-1.5,
-1.5,
-0.5,
-1.5,
-1.5,
-2,
-1.5
] | 0.97538 | [
0.17184980415359202,
1.3095299978766257,
-0.14694001712269134,
0.07165593829439787,
0.8629317787092313,
0.019688720525559825,
0.14744705118820456,
0.7537683714961805,
0.8425069824343094,
0.1261435072950652,
0.7493093705772537,
0.27837256676308586,
-0.046336641371872975,
0.9615818164434443,... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 12 |
919ebe96150ea33963e1b88a334f3105 | 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": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.5511919351829138, "params": [[-0.0526], [0.06470000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0049818126732412435, 0.0050507091668283354], "optimization_time": 2.000000238418579} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.47997180051034355) q[0];
h q[1];
ry(0.7419521490927121) q[1];
h q[2];
ry(0.7805616775622914) q[2];
h q[3];
ry(1.6653574126053823) q[3];
h q[4];
ry(0.8326787063026911) q[4];
h q[5];
ry(0.8326787063026911) q[5];
cx q[3], q[5];
ry(-0.8326787063026911) q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IZIIIIZI",
"IIIIIZZI",
"IZIIZIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"ZIZIIIII",
"IZZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.75,
-1.5,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.25,
-0.25,
-2.5,
-1.5,
0.25,
2.5,
-0.25,
2
] | 0.982925 | [
1.6653574126053823,
1.561123355124583,
1.4839042981854242,
1.4663457416610364,
-0.9599436010206871,
1.605096316058872,
-0.46828747053853337,
0.1743353193150963,
0.01566324934925098,
-0.12821055154197955,
0.5585485193403721,
0.1633788020804623,
-0.4348264220333006,
-0.22682935549148475,
0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 5 |
-8429544682563830600 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 3], [2, 6]]} | {"states": [11, 43], "expectation_value": -1.2129697647059166, "params": null, "bitstrings": ["1110100", "1010100"], "total_optimization_steps": 45, "probabilities": [0.12583381157976115, 0.5773052971205751], "optimization_time": 39.51294255256653} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(5) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.47299782449428845) q[0];
h q[1];
h q[2];
ry(-0.47299782449428845) q[2];
h q[3];
cx q[3], q[0];
ry(0.47299782449428845) q[0];
cx q[3], q[0];
ry(-0.7980413707609256) q[0];
ry(1.0587418772324133) q[3];
h q[4];
ry(-0.23888290438511148) q[4];
cx q[1], q[4];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], q[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... | [
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIIZIIZ",
"ZIIIZII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0
] | 0.979403 | [
-0.9459956489885769,
1.0587418772324133,
-0.6707101543233787,
0.3687804469474488,
0.3442124733892047,
0.8200024558787959,
-0.25466243287509394,
-0.33717595807874007,
0.22026565679129953,
0.09479014137950745,
0.43550041429008773,
-0.12823239513003976,
-0.47776580877022296,
-0.05466719922609... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 7 |
255f1dd604659bd35e94474fe8f5241d | 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": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [7, 47], "expectation_value": -8.303319260336295, "params": null, "bitstrings": ["1111000", "1010000"], "total_optimization_steps": 61, "probabilities": [0.11121072416847702, 0.7103220940384556], "optimization_time": 80.27398109436035} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.37039925737107354) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.47479670208545194) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.002453439771768364) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.002453439771768364) q[4];
c... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.75,
-0.25,
-1,
-1,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-1,
-0.75,
-0.25,
-0.25,
-1.75,
1,
-0.75,
1.5,
0.5
] | 0.901268 | [
-0.37039925737107354,
-0.47479670208545194,
0.002453439771768364,
0.007173938359176996,
0.28639303714208847,
-0.6771793472255276,
-0.758238898919597,
0.5277113036131329,
0.6196216232026848,
-1.587300313731966,
-0.5518085417301448,
-0.6707094486127311,
-0.0018169790026760502,
-0.12952360862... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
a0d529ca36dd3a1366498490d13dd5e2 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 14], "expectation_value": -3.496463938080505, "params": null, "bitstrings": ["010011", "110001"], "total_optimization_steps": 25, "probabilities": [0.06634813061618085, 0.9303663903799576], "optimization_time": 14.307186365127563} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.08588185594382781) q[0];
cx q[4], q[0];
rz(-0.7796390051316933) q[0];
rx(-0.16223409120890334) q[0];
cx q[4], q[1];
rz(0.08588185594382781) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.08588185594382781) q[2];
cx q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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... | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-0.5,
-1
] | 0.976001 | [
0.08588185594382781,
-0.8756859798659048,
-0.7796390051316935,
-0.4654146534934242,
-0.16223409120890334,
-0.17378727443252442,
2.489205451114607,
-1.1559017135907852,
1.5966900435185638
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 34 |
9da2cb4f7363108a1ea14732d542ebf4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [98, 100], "expectation_value": -8.553590846636407, "params": [0.5874, 0.5832, -0.0117, -0.0079, 0.0006000000000000001, 0.0073, 0.8108000000000001, 0.8083, 0.7959, 0.8028000000000001, 0.0086, 0.056900000000000006, -0.0058000000000000005, -0.0026000000000000003, 0.8008000000000001, 0.7989, 0.7902, 0.8002, -0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(7) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0, -10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -9.0, "smallest_bitstrings": ["0101111011", "1011101110", "1110011101", "0110111011", "1010011111", "0110111101", "1110011011", "1101110011", "1111101100", "1111... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.15968212940273446) q[0];
rz(pi/2) q[0];
ry(0.0089277561271425) q[1];
ry(0.003997716067334525) q[2];
ry(1.7270376336030608) q[3];
ry(1.6488059823466201) q[4];
ry(-0.06809047427028661) q[5];
ry(-0.12147520015026654) q[6];
ry(1.0993074143905823) q[7];
ry(0.045733550... | 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",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIZIIZII",
"ZIIIIIIZII",
"IIZIIIIIZI",
"ZIZIIIIIII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IZIIIIIZII",
"IZZIIIIIII"... | [
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,
-2,
-2,
-2,
-1.5,
-2.5,
-2.5,
-2.5,
-1,
-1.5,
-1.5
] | 0.970712 | [
-0.15968212940273446,
0.0089277561271425,
0.003997716067334525,
1.7270376336030608,
1.6488059823466201,
-0.06809047427028661,
-0.12147520015026654,
1.0993074143905823,
0.045733550767471154,
-0.038071953239751155,
0.3523502093757797,
-0.17530560781107354,
-0.3937281597136689,
0.364622086552... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 31 |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [2, 1], "expectation_value": -11.044212384494699, "params": [[-0.010100000000000001, -0.0337, -0.024300000000000002, -0.0094], [0.024300000000000002, 0.0587, 0.06470000000000001, 0.0668]], "bitstrings": ["11101", "11110"], "total_optimization_steps": 10, "probabilities": [0.06828981970419458, 0.0712916259814... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 10 | 5 | 4 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
-8.5,
-8.25,
-8.5,
-8.25,
-8
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
-2862683680105267660 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [8, 4], [3, 6], [0, 4], [5, 6], [8, 6], [8, 5], [5, 7], [0, 2], [4, 6], [8, 1], [8, 0], [8, 2], [1, 2], [0, 6], [1, 5], [3, 4]]} | {"states": [71, 87], "expectation_value": -1.6166321927525746, "params": [0.8475, 0.4904, 0.4445, 0.0091, 1.1765, -0.25070000000000003, 0.9136000000000001, 0.009300000000000001, 1.1866, 0.0239, 1.118, 0.0076, 0.9438000000000001, 0.5051, 0.6275000000000001, 0.0056, 1.1976, 0.1758, 0.9648, 0.0095, 0.9461, -0.454200000000... | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["100101001", "101111000", "010000111", "110100110", "110100011", "110101000", "101101000", "110111000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06953762449400891) q[0];
rz(1.1090420161286652) q[0];
rx(0.44538337767345465) q[1];
rz(-0.6072930729266361) q[1];
rx(1.944360985676137) q[2];
rz(0.1692009188606498) q[2];
rx(0.006633105553050023) q[3];
rz(1.312764550617488) q[3];
rx(1.2155920825124384) 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": []} | [
"ZIIIIZIII",
"IIIIZZIII",
"ZIIIZIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IIZIZIIII",
"ZIIIIIIIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"ZIIZIIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"IIIIIIZIZ",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIIIZIII",
"ZIIIIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
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
] | 0.971944 | [
-0.06953762449400894,
0.4989817751933499,
0.44538337767345465,
-0.27299201764412856,
1.944360985676137,
0.1842164133639188,
0.006633105553050023,
0.7052404241151329,
1.2155920825124387,
0.20175858432531873,
0.05842061677806648,
-0.5092431999306852,
1.1952042438883412,
0.1326098205071331,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 60 |
271acce5133583ec98e9f3252c3b381c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -12.991398792046658, "params": [[[-0.013000000000000001, -0.4751], [0.0013000000000000002, 0.0129], [0.0273, 0.0019], [0.0028, 0.002], [0.0031000000000000003, -0.0034000000000000002], [0.0019, 0.0027], [0.002, -0.0032], [0.0025, 0.0024000000000000002], [0.003400000000000000... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(8)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @... | 15 | 11 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.04562716727646028) q[0];
ry(0.26185396340314576) q[1];
ry(0.2755335986100082) q[2];
ry(-0.0380857778793376) q[3];
ry(0.07026434035977792) q[4];
ry(-0.03350950494752574) q[5];
ry(-0.16202047188030191) q[6];
ry(-0.033944010698350964) q[7];
ry(-0.03350950494752574) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIIIIIZIIZI",
"IIZIIIZIIII",
"IIIIIZIIIZI",
"IIIIZZIIIII",
"IIZIIZIIIII",
"IIIZIIIIIZI",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIIZIZIIIII",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IZZIIIIIIII",
"IZIIIIZIIII",
"IZIZIIIII... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.5,
-0.25,
1.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-1.5,
0.7... | 0.97211 | [
-0.04562716727646028,
0.26185396340314576,
0.2755335986100082,
-0.0380857778793376,
0.07026434035977792,
-0.03350950494752574,
-0.16202047188030191,
-0.033944010698350964,
-1.5200848820925825,
0.38230869771942616,
-0.10105493669092466,
-0.028854257662129144,
0.009869155916306417,
-0.008585... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 39 |
-3335078706934662280 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3, 4], [0, 3], [2, 5]]} | {"states": [5, 58], "expectation_value": -0.02299167580079199, "params": [[[1.5261, 0.003], [1.4861, 0.0027], [1.6511, 0.0081], [1.7012, 0.0039000000000000003], [1.6032000000000002, 0.0034000000000000002], [1.5688, 0.0037]]], "bitstrings": ["111010", "000101"], "total_optimization_steps": 170, "probabilities": [0.02226... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) | 2 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["001100", "000101"], "largest_eigenvalue": 2.0000000000000004} | 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[1];
rz(-0.3773072835343535) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.3773072835343535) q[4];
cx q[3], q[4];
cx q[1], q[4];
cx q[3], q[0];
rz(-1.517027765447549) q[0];
cx q[3], q[0];
rz(0.06444889358226735) q[0];
rx(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIZIZI",
"IZZIII",
"IZIIZI",
"IIZIIZ",
"ZIIZII",
"IIZIII",
"IIIIZI",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0
] | 0.837478 | [
-0.3773072835343535,
-1.517027765447549,
0.06444889358226775,
0.7951423235631674
] | {
"n_parameters": 4,
"n_qubits": 6,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 108 |
92977879d93808800c1e23dcfc7674ef | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [1, 63], "expectation_value": -0.4328194477381225, "params": [[0.07730000000000001], [-0.0733]], "bitstrings": ["1111110", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010485540057475765, 0.010587538662770167], "optimization_time": 3.236318826675415} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3261269853696955) q[0];
ry(0.15280812214778283) q[0];
rz(-0.9337312810805996) q[0];
rz(1.9964547680865152) q[1];
ry(0.012800230110904963) q[1];
rz(-1.05764626837213) q[1];
rz(1.8549141366812627) q[2];
ry(0.11932868904959167) q[2];
rz(-1.180939263083199) q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.5,
-0.5,
0.5,
-0.25,
-1.25,
-1.75,
-1,
-0.75,
-1,
1,
-0.25,
-0.25,
0,
0.25,
-1.5,
0.75
] | 0.971819 | [
0.2272475611940175,
0.4377124216033437,
0.007027150486334427,
0.8512983117083938,
0.06214994664994243,
0.5671964715179287,
0.7475781204584308,
-0.1054743656991431,
0.8578104341995038,
-0.0897300356332893,
0.7944609943390304,
1.1250250205416625,
0.10067833046202983,
-0.0870985131794334,
-... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 8 |
44db6493095286b918fb0c5bac33de1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [203, 107], "expectation_value": -37.254546661429075, "params": null, "bitstrings": ["00110100", "10010100"], "total_optimization_steps": 100, "probabilities": [0.057206048320369615, 0.39438522917744046], "optimization_time": 154.36676836013794} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.1114879293616777) q[0];
ry(0.15685993350026523) q[0];
rz(-1.2753559774581484) q[0];
rz(1.6455463798734922) q[1];
ry(0.12439450381357361) q[1];
rz(-2.0806830828243723) q[1];
rz(1.9810033602527488) q[2];
ry(2.948676107721393) q[2];
rz(-1.039626053423473) q[2];
rz(1.6... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) 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[... | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
12,
14,
0,
15.5,
7.5,
11.5,
15
] | 0.972455 | [
0.40466514957797073,
0.2601706792456252,
0.0888412715111685,
0.2573921016905544,
1.8051101402836665,
0.08347576028210325,
0.030504361917943496,
0.08039412607444499,
1.381450409563023,
-0.1699186896737985,
1.1033417399647076,
0.012564086284400422,
0.18792404571706298,
0.07017314689331701,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 19 |
2709643479563405023 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 6]]} | {"states": [103, 92], "expectation_value": -0.011025836001654507, "params": [[0.0712], [-0.06910000000000001]], "bitstrings": ["0011000", "0100011"], "total_optimization_steps": 10, "probabilities": [0.007920559864780578, 0.007920592928857911], "optimization_time": 0.9515824317932129} | 0.1 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(5) @ Z(2)) + 0.06666666666666667 * (Z(5) @ Z(0)) + 0.06666666666666667 * (Z(5) @ Z(3)) + 0.06666666666666667 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(6) @ Z(2)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -0.5666666666666667, "smallest_bitstrings": ["1001000", "0010100", "1000100", "0011000", "0100011", "1010000", "0001100"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.019622906166779194) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.019622906166779194) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.019622906166779194) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.019622906166779194) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IIIIIZZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZ... | [
0.1,
0.1,
0.1,
0.1,
0.1,
0.1,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
... | 0.990375 | [
0.019622906166779194,
-0.06095778491995571,
0.044404824628420415,
1.5104999244975914,
-1.3827763762491208,
-1.5328414785372046
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -0.6,
"target_ratio": 0.97,
"target_value": -0.582
} | 55 |
339c7fe0000b9f3d24083d98998c20d8 | 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": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [1, 17], "expectation_value": -1.9148927090160686, "params": [[-0.0574, -0.0183], [0.06960000000000001, 0.044700000000000004]], "bitstrings": ["111110", "101110"], "total_optimization_steps": 10, "probabilities": [0.02861698721210078, 0.030064400146725616], "optimization_time": 2.839517831802368} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.2133399821377441) q[0];
rz(-pi) q[0];
h q[1];
ry(0.7495760698632566) q[1];
h q[2];
ry(-0.08887877219422799) q[3];
rz(-pi) q[3];
ry(-0.19278541536231975) q[4];
rz(-pi) q[4];
h q[5];
ry(1.391295280431935) q[5];
cx q[5], q[4];
ry(-0.3176700012489248) q[4];
cx q[5], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"ZIIIIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
-1.5,
-2.25,
-1.75,
3.5,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.25,
-2.75,
3,
1.75,
-0.5
] | 0.975641 | [
1.391295280431935,
-2.0329462789083035,
-1.6956809126815016,
-1.1529907529787395,
0.6353400024978496,
-0.45032158544803697,
-0.6578536032438583,
1.4991521397265133,
-0.28415573829494634,
-1.8771011169893437,
0.14516579000424013,
1.3509798685023018,
-0.8662456018688108,
-1.517406511507313,
... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 21 |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -2.4428731980993317, "params": [[0.163], [-0.1494]], "bitstrings": ["101010", "100010"], "total_optimization_steps": 20, "probabilities": [0.039507532114190974, 0.04089952505945746], "optimization_time": 2.0322515964508057} | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6613510471018691) q[0];
h q[1];
ry(0.6363557243035431) q[1];
h q[2];
ry(0.8762410042703717) q[2];
h q[3];
ry(1.5797614988899453) q[3];
h q[4];
ry(-1.3227020942037382) q[4];
h q[5];
cx q[5], q[0];
ry(0.6613510471018691) q[0];
cx q[5], q[0];
ry(-0.1472698311... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"IIZIZI",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-1,
-1.25,
-0.75,
1.75,
-1,
-0.5,
-1.25,
-1.25,
1.25,
-0.25,
-2.5,
0,
-0.5,
2
] | 0.973802 | [
-1.3227020942037382,
1.5797614988899453,
1.7411868845926435,
-0.2945396623583815,
1.2727114486070863,
0.4993285531882329,
1.7524820085407433,
-0.23870673944423812,
-0.4358087178782579,
0.06835119046574256,
-0.27794874849023343,
-0.29686600510111416,
0.5459314081296203,
-0.5128761408398687,... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 64 |
f20b14ccaf46fd91ed39b9c05edbe906 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 1, "target"... | {"states": [14174, 14190], "expectation_value": -9.743094847966765, "params": [[[0.17900000000000002, 0.6437, 0.0058000000000000005, 0.0041], [0.1899, 0.6534, -0.0043, 0.0067], [1.5687, 0.0019, 1.5678, 0.0066], [1.5687, -0.003, 1.5785, 0.0097], [1.57, 0.0027, 1.5656, 0.0045000000000000005], [0.0118, 0.2838, -0.0025, 0.... | 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.... | 11 | 15 | 1 | {"smallest_eigenvalues": [-10.249999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.24999999999997, "smallest_bitstrings": ["100100010010001"], "largest_eigenvalue": 30.750000000000103} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"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,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1.25,
1.2... | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
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