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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
bf1143b4da322d8575cbceb5d64a46b1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [255, 7], "expectation_value": -2.3583840056386682, "params": [[-0.08310000000000001], [0.08030000000000001]], "bitstrings": ["00000000", "11111000"], "total_optimization_steps": 10, "probabilities": [0.0072650501109084, 0.007556674797624374], "optimization_time": 2.5136795043945312} | -3.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -3.0 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(3) + 1.0 * Z(0) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0009671555614415333) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-0.0021944005769208483) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.004295722248828683) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0009671... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-3,
1,
-2,
-2.5,
0.5,
0.5,
-3,
1,
-3,
-2.5,
-1.5,
-1.5,
0.5,
-2,
1,
1,
-1.5,
-2,
0.5,
0.5,
0.5
] | 0.703317 | [
-0.0009671555614415333,
-0.0021944005769208483,
1.5754351916668268,
0.004295722248828683,
0.22463852725764025,
1.5106132110553911,
1.2869559239642467
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 188 |
16efd0d1722058bdcecd0a47f621047a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "target": 2}, {"weight": 1... | {"states": [126, 122], "expectation_value": -32.254596087261625, "params": [[0.0303, 0.008, -0.0045000000000000005, -0.0071], [-0.0833, -0.0781, -0.0538, -0.035300000000000005]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.016635389698961944, 0.020749343279345803], "optim... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
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,
15.5,
10.5,
15,
14,
15,
4,
14,
10
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 88.18373703956604} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
3291141126542986732 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 6], [9, 1], [2, 5], [2, 7], [8, 7], [8, 10], [1, 7], [10, 3], [1, 2], [0, 1], [10, 7], [0, 7], [0, 3], [2, 4], [9, 3], [9, 5], [3, 5], [8, 9], [8, 4], [4, 6], [0, 10], [10, 2], [1, 6], [4, 7], [9, 2], [1, 4], [9, 7], [9, 4]]} | {"states": [1635, 1123], "expectation_value": -0.06546474360998011, "params": [[[1.6608, 0.0022], [1.5259, 0.0037], [1.4704000000000002, 0.006], [1.4502000000000002, 0.008400000000000001], [1.6556000000000002, 0.0021000000000000003], [1.6473, 0.0035], [1.475, 0.0024000000000000002], [1.471, 0.0079], [1.4579, 0.00450000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(10)... | 1 | 11 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["01110011100", "11001100011", "10001100011", "00110011100"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.3672718579061582) q[0];
rz(-1.890311184846528) q[0];
rx(2.258054392086244) q[1];
rz(0.27755812056073037) q[1];
rx(-0.03976467938911532) q[2];
rz(0.6659279654987154) q[2];
rx(0.2354130345235482) q[3];
rz(-1.3157163627382265) q[3];
rx(3.257096568124277) q[4];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIIIZIIIIZI",
"IIIIIIIIIZZ",
"IZIIIIIIIZI",
"IIIIIIIIZZI",
"IZIIIIIIZII",
"IZIIIZIIIII",
"IIIIIZIIZII",
"IIIZIIIIIIZ",
"IIIZIIIIIZI",
"IZIZIIIIIII",
"IIIZIIIIZII",
"IZZIIIIIIII",
"IIZZIIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIIIZII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973584 | [
3.3672718579061582,
-1.890311184846528,
2.258054392086244,
0.27755812056073037,
-0.03976467938911532,
0.6659279654987154,
0.2354130345235482,
-1.3157163627382265,
3.257096568124277,
0.07907876971330013,
3.495638613371674,
-0.02014036596677915,
-0.22173690761405207,
0.47199652453421653,
0... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 41 |
fbcd8d42152af1c7a21b28feb060f7a7 | 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": [1145, 1081], "expectation_value": -104.64502597914921, "params": [0.0024000000000000002, 0.9800000000000001, 1.3988, 0.2897, 0.7431, 0.47900000000000004, 0.0024000000000000002, -0.7263000000000001, 0.0027, 0.6393, 0.7858, 0.2335, 1.4012, 0.006500000000000001, 1.3953, -0.00030000000000000003, 1.3956000000000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(11) @ Z(2)) + 7.5 * (Z(11) @ Z(7)) + 7.5 * (Z(11) @ Z(10)) + 6.5 * Z(1) + 11.0 * Z(2) + 15.5 * Z(6) + 12.5 * Z(5... | 18 | 12 | 2 | {"smallest_eigenvalues": [-131.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -121.0, "smallest_bitstrings": ["101111000110"], "largest_eigenvalue": 217.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.12052697752629916) q[0];
rz(0.879793926332578) q[0];
rx(1.7684411811003706) q[1];
rz(0.2591375958896114) q[1];
rx(0.26617088532957756) q[2];
rz(0.49059674369008577) q[2];
rx(-0.12052697752629916) q[3];
rz(-0.824313529724638) q[3];
rx(0.09360075255242621) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIZZIIIII",
"IIIIZIIIIZII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIZIIZIIIIII",
"IIZZIIIIIIII",
"IZIIIIIIIIZI",
"ZIIIIIIIIZII",
"ZIIIZIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIZIIIIII",
"IIIIIIZIIIII",
"IIIIZIIIIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
6.5,
11,
15.5,
12.5,
20.5,
7,
1,
3.5,
13,
-13,
-12,
-11.5
] | 0.97034 | [
-0.12052697752629916,
0.8435633962620479,
1.7684411811003706,
0.2591375958896114,
0.26617088532957756,
0.49059674369008577,
-0.824313529724638,
0.09360075255242621,
0.8199530414534757,
0.16741830934620766,
0.13960542851588703,
1.5518664680156047,
0.2778745810941232,
1.2494552981296387,
-... | {
"n_parameters": 62,
"n_qubits": 12,
"optimal_eigenvalue": -131,
"target_ratio": 0.97,
"target_value": -127.07
} | 14 |
-2152747744284093579 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 4, 5, 7, 8], [1, 3, 4, 5, 7, 8, 9], [0, 2, 6, 7, 9], [0, 2, 5, 7, 8, 9], [1, 3, 5, 6, 8], [0, 1, 2, 8, 9], [9, 3, 6], [0, 1, 3, 8, 9], [1, 3, 4, 5, 6, 7], [0, 1, 2, 3, 7, 9]]} | {"states": [303, 431], "expectation_value": -1.947594063561021, "params": [0.45130000000000003, 0.0038, 3.1387, 0.0092, 1.592, 0.0014, 0.4212, 0.0039000000000000003, 2.5661, 0.0067, 0.4499, 0.008, 3.1395, 0.0011, 3.1386000000000003, 0.0085, 3.1446, 0.0048000000000000004, 3.1436, 0.002, 0.0076, 0.006900000000000001, 0.0... | 0.15714285714285714 * (Z(0) @ Z(1)) + 0.10714285714285715 * (Z(2) @ Z(1)) + 0.19047619047619047 * (Z(2) @ Z(0)) + 0.08095238095238094 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(2)) + 0.13095238095238096 * (Z(5) @ Z(1)) + 0.05714285714285714 * (Z(5) @ Z(0)) + 0.057142857142... | 16 | 10 | 1 | {"smallest_eigenvalues": [-2.1142857142857148, -2.1142857142857148], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0809523809523816, "smallest_bitstrings": ["1001010000", "0011010000"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.06783829660338969) q[0];
rz(-0.16599226646584508) q[0];
rx(3.010475779472019) q[1];
rz(-0.3617843642454523) q[1];
cx q[1], q[0];
rz(-0.019205834457772394) q[0];
cx q[1], q[0];
rz(-0.2748782484755785) q[1];
rx(2.472370279416468) q[2];
rz(-0.3284252826684786) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIZIIIII"... | [
0.15714285714285714,
0.10714285714285715,
0.19047619047619047,
0.08095238095238094,
0.023809523809523808,
0.023809523809523808,
0.13095238095238096,
0.05714285714285714,
0.05714285714285714,
0.08095238095238094,
0.11428571428571427,
0.14047619047619048,
0.14047619047619048,
0.0809523809523... | 0.972659 | [
0.06783829660338968,
-0.18519810092361727,
3.010475779472019,
-0.3617843642454523,
2.472370279416468,
-0.27317260602273724,
0.2940298760655506,
0.2565079984105858,
2.906920024854638,
0.04330074727715948,
0.4264979364713437,
-0.004986039002365508,
3.1133571052915103,
-0.44495048671206777,
... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -2.1142857142857148,
"target_ratio": 0.97,
"target_value": -2.050857142857143
} | 9 |
e8fdec38f32f10530d269f6547919d57 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 26], "expectation_value": -3.999900324820464, "params": null, "bitstrings": ["001101", "100101"], "total_optimization_steps": 26, "probabilities": [1.718751956347206e-05, 0.9999500716492452], "optimization_time": 20.449707508087158} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZZII",
"ZIZIII",
"ZZIIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-1,
-0.5
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -0.11205825380855139, "params": [[0.046200000000000005, 0.0531, 0.0334], [-0.0323, -0.0443, -0.033800000000000004]], "bitstrings": ["011", "111"], "total_optimization_steps": 10, "probabilities": [0.13235466014012862, 0.14638900879349218], "optimization_time": 2.399411201477051} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 1} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
-8322962800216742581 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 6], [0, 3], [1, 3, 5], [0, 2, 5, 6], [0, 1, 2, 4], [1, 2, 3, 6]]} | {"states": [58, 114], "expectation_value": -1.7097304420977366, "params": null, "bitstrings": ["1000101", "0001101"], "total_optimization_steps": 33, "probabilities": [0.05914573061840367, 0.9159040077881344], "optimization_time": 42.380232095718384} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.7499999999999996, -1.7499999999999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["0011000", "0001101"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.8806726479011588) q[0];
rz(1.5652229700091667) q[0];
rx(2.2291300946111954) q[1];
rz(1.5935858423683067) q[1];
rx(1.6018806553880556) q[2];
rz(1.5759065324198556) q[2];
rx(-0.033056443184162086) q[3];
rz(1.2080060923315745) q[3];
rx(0.34263687134905557) q[4];
rz(1.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4745) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZZIIIII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IZIIIII",
"IIZ... | [
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0... | 0.973506 | [
1.8806726479011588,
-0.005573356785729419,
2.229130094611196,
0.022789515573410097,
1.6018806553880556,
0.005110205624959674,
-0.03305644318416209,
-0.3627902344633226,
0.3426368713490556,
0.10972351503459415,
1.432051730038518,
0.11747865280033183,
-0.28059404338103805,
0.0626456559203889... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -1.7499999999999996,
"target_ratio": 0.97,
"target_value": -1.6974999999999996
} | 61 |
450b85ef8c9161083436ac2e2293ec06 | 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": [235, 233], "expectation_value": -60.022581523200245, "params": [[[0.020800000000000003, 0.8448], [0.9759000000000001, 1.165], [0.0129, 1.2633], [0.8177000000000001, 1.4799], [-0.0055000000000000005, 1.4532], [0.8300000000000001, 0.3079], [0.4161, 0.47200000000000003], [0.22920000000000001, 0.901700000000000... | 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(3)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 7.0 * Z(0) + 22.5 * Z(3) + 19.5 * ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.5, "smallest_bitstrings": ["100010110"], "largest_eigenvalue": 162.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.8969994853403405) q[0];
ry(0.08663378193017321) q[1];
ry(-0.13063737316769763) q[2];
ry(-0.029749496610160527) q[3];
ry(-0.004343582502920804) q[4];
ry(-0.024093735909566094) q[5];
ry(0.042113832016624705) q[6];
ry(-0.059217814783181145) q[7];
ry(0.1318618429263428... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIZIIZ",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIIZZI",
"IIIZIZIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
7,
22.5,
19.5,
17.5,
15,
2.5,
-5,
10.5,
1.5
] | 0.970259 | [
0.8969994853403405,
0.08663378193017321,
-0.13063737316769763,
-0.029749496610160527,
-0.004343582502920804,
-0.024093735909566094,
0.042113832016624705,
-0.059217814783181145,
0.13186184292634284,
1.309924037440962,
1.3577217164078623,
1.5682300293779303,
1.6191959738425994,
1.68697287000... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -88.5,
"target_ratio": 0.97,
"target_value": -85.845
} | 151 |
de167a9b4a9a72a71124748f271368ff | 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": [1250, 1249], "expectation_value": -81.17199929117812, "params": [[[0.6948000000000001, 0.0238], [0.2429, 0.027], [0.0606, 0.031], [0.6664, 0.4278], [0.4126, 0.6814], [0.1642, 0.6899000000000001], [0.0495, 0.523], [-0.2518, 0.0767], [0.068, -0.4872], [0.6758000000000001, 0.7011000000000001], [0.1119, -0.1133... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(10) @ Z(5)) + 7.0 * (Z(10) @ Z(9)) + -2.5 * Z(1) + 8.0 * Z(0) + 7.5 * Z(3) + -3.5 * Z(2) + 13.5 * Z(5) + 17.0 * Z(4) + 11.5 * Z(6) + -5... | 15 | 11 | 4 | {"smallest_eigenvalues": [-99.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.0, "smallest_bitstrings": ["01100011110"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.07390415469647) q[0];
ry(0.15033751402993034) q[1];
ry(0.11922757985326193) q[2];
ry(0.5604632724120505) q[3];
ry(0.19699771677392333) q[4];
ry(0.3233307352432196) q[5];
ry(-0.02181535969194629) q[6];
ry(-0.09086078013874456) q[7];
ry(-0.03578405270073609) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZIIIIIIIZ",
"IZIIIIZIIII",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IZIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
-2.5,
8,
7.5,
-3.5,
13.5,
17,
11.5,
-5,
3,
5.5,
-9
] | 0.971136 | [
1.07390415469647,
0.15033751402993034,
0.11922757985326193,
0.5604632724120505,
0.19699771677392333,
0.3233307352432196,
-0.02181535969194629,
-0.09086078013874456,
-0.03578405270073609,
0.10859844361490666,
0.2928301430480242,
0.1071052870352411,
0.06369157684429377,
-0.024892028171526435... | {
"n_parameters": 87,
"n_qubits": 11,
"optimal_eigenvalue": -99,
"target_ratio": 0.97,
"target_value": -96.03
} | 88 |
72ec18873d3dc55875c8efef46485470 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [23, 31], "expectation_value": -7.754560702134295, "params": null, "bitstrings": ["101000", "100000"], "total_optimization_steps": 61, "probabilities": [0.09911762242074067, 0.6587799551517071], "optimization_time": 60.14971303939819} | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(0.6718764267967782) q[1];
h q[2];
h q[3];
ry(0.6718764267967782) q[3];
cx q[2], q[3];
ry(-0.6718764267967782) q[3];
cx q[2], q[3];
ry(1.5535753734037667) q[2];
cx q[2], q[1];
ry(-0.6718764267967782) q[1];
cx q[2], q[1];
ry(0.8533483681362799) q[3];
h ... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-0.75,
-1,
-1.25,
-2.5,
-2.25,
-1,
-1.25,
2.25,
-1,
1,
-0.25,
-1.25,
-0.25,
0.75,
0
] | 0.97048 | [
1.3437528535935563,
1.5535753734037667,
0.8533483681362799,
-0.9362082007339845,
0.4623959360555589,
0.35436786059694586,
0.04302867212514143,
0.0500982270858599,
-1.6453394811112914,
-0.9180761020979388,
-1.558383651126498,
1.0819988838696692,
1.0170011116603797,
-0.25552214888759683,
-... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 108 |
18f51c81d01a61d58a5d6da20c55ce9d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 135], "expectation_value": -26.33909370390593, "params": [-0.0006000000000000001, 0.5492, -0.001, 0.8274, 0.0021000000000000003, 0.523, 0.0028, 0.8517, -0.6162000000000001, -0.5217, -0.36260000000000003, -0.4806, 0.0031000000000000003, 0.9292, 0.0041, 0.8657, 0.0011, 0.9511000000000001, 0.001300000000000... | -2.5 * (Z(0) @ Z(3)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(5) @ Z(1)) + 1.0... | 6 | 10 | 3 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000000000", "1101111000"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.13073336812900155) q[0];
rz(2.3125814195312717) q[0];
rx(-0.022863559920685953) q[1];
rz(2.6074573354717945) q[1];
rx(-0.6999719192594032) q[2];
rz(0.7666142932163726) q[2];
rx(-0.10078216518072208) q[3];
rz(1.1992446106943841) q[3];
rx(0.2775570395800168) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZZIIIIIII"... | [
-2.5,
-3.5,
-3,
-3.5,
1,
-3,
1,
0.5,
-3,
-2.5,
1.5,
0.5,
-3.5,
-3,
1,
-2,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
1,
1.5,
1.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.972686 | [
0.13073336812900155,
0.7417850927363753,
-0.022863559920685953,
1.036661008676898,
-0.699971919259403,
-0.8041820335785246,
-0.10078216518072207,
-0.3715517161005127,
0.2775570395800168,
0.1652549542095049,
-0.057320429884227274,
0.5763437102242233,
-0.08716646181105751,
0.4355435746943682... | {
"n_parameters": 189,
"n_qubits": 10,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 356 |
6172ec2f30329f156b64312801e66ef4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 47], "expectation_value": -2.3905639603952555, "params": [[0.0728, 0.058100000000000006, 0.0789], [-0.08420000000000001, -0.0506, -0.0717]], "bitstrings": ["0111111", "1010000"], "total_optimization_steps": 10, "probabilities": [0.018131260684809365, 0.01969954333252652], "optimization_time": 3.41756725... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1011010", "1011000", "1010000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15321410223109672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.15321410223109672) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.003386663219578) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.15321410223109672) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.25,
-1,
1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-1.5,
-0.25,
1.75,
-1.5,
-0.25,
1.25,
0.5
] | 0.80901 | [
-0.15321410223109672,
-0.003386663219578,
1.3792064432981384,
1.6536245255120825,
0.007415038342467658,
-0.00033579823225607776,
-0.04906685260021198,
1.5514059338137396,
1.57108267036554,
1.549966787492532,
-1.43906272514929
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 276 |
351f46008c2fa6d2dfb6c8e40fb9b957 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [42, 21], "expectation_value": -0.12102363236725366, "params": [[0.0558], [-0.045000000000000005]], "bitstrings": ["1010101", "1101010"], "total_optimization_steps": 10, "probabilities": [0.00840905916111542, 0.008487361705279257], "optimization_time": 2.4093523025512695} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101010", "0110101", "1010101", "1100011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.02360863634851629) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6025832086286227) q[1];
h q[2];
ry(1.5359581859684985) q[2];
h q[3];
h q[4];
ry(1.5359581859684985) q[4];
cx q[4], q[0];
ry(0.13101347429035654) q[0];
cx q[4], q[0];
ry(0.06662405253547206) q[0];
rz(-pi) q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-1,
-1,
0
] | 0.996003 | [
-1.6025832086286227,
-1.6617063127341019,
-1.4161742161560238,
1.5359581859684985,
-1.14681967659647,
0.7822968069285475,
-0.26202694858071307,
-0.29365619199419124,
0.6362347573183261,
-0.4206669012927168,
0.26387033649728336,
-0.19180926143591331,
0.17578383679714263,
0.18814493391960324... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
9963c266c8ee556cddb5b688a938b2f1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "targ... | {"states": [16383, 16255], "expectation_value": -21.099105030129824, "params": [[[0.0031000000000000003, 2.7071], [-0.0031000000000000003, -0.0031000000000000003], [-0.0031000000000000003, -0.0031000000000000003], [-0.003, -0.0031000000000000003], [-0.0018000000000000002, -0.0021000000000000003], [-0.0027, 0.002], [-1.... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(12)) + -2.0 * (Z(11) @ Z(12)) + 0.5 * (Z(11) @ Z(10))... | 15 | 14 | 1 | {"smallest_eigenvalues": [-22.999999999999947], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.999999999999876, "smallest_bitstrings": ["00000010000000"], "largest_eigenvalue": 26.000000000000064} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8282540325900167) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.5302446581368386) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.8282540325900167) q[2];
cx q[1], q[2];
rz(0.06601847626709523) q[1];
rx(0.9441089485... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIZZIIII",
"IIIIIIIZZIIIII",
"IIIIIZZIIIIIII",
"IIIIZZIIIIIIII",
"IIIIZIZIIIIIII",
"IZIZIIIIIIIIII",
"IZZIIIIIIIIIII",
"IIZZIIIIIIIIII",
"ZZIIIIIIIIIIII",
"ZIIZIIIIIIIIII"... | [
-2,
1,
-2,
-2,
1,
-2,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.566689 | [
0.8282540325900167,
0.5302446581368386,
1.0670624352294005,
0.06601847626709541,
1.5941942805353277,
0.9441089485818035
] | {
"n_parameters": 6,
"n_qubits": 14,
"optimal_eigenvalue": -22.999999999999915,
"target_ratio": 0.97,
"target_value": -22.309999999999917
} | 185 |
32087ba2b3a645f34fcdf9295fac10e1 | 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": 3}, {"capacity": 6, "source": 0, "target": 8}, {"capacity": 6, "source": 0, "target":... | {"states": [516, 772], "expectation_value": -22.495714592852767, "params": [-0.0051, 0.0027, 0.3529, 0.3528, 0.2394, 0.2409, 0.01, -0.010400000000000001, 0.004, -0.0016, 0.004, -0.001, 0.0014, 0.0028, -0.0008, 0.0039000000000000003, -0.2398, -0.2786, 0.0038, 0.0023, 0.0037, -0.0001, -0.0122, -0.001, 0.3899, 0.3912, 0.2... | -0.75 * (Z(0) @ Z(4)) + -1.25 * (Z(9) @ Z(4)) + -1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + 2.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(3)) + -1.25 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(2)) + -1.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 14 | 11 | 4 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["10011111011"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.15345925370427768) q[0];
rz(pi/2) q[0];
ry(0.2801706530422062) q[1];
ry(0.4465458919548898) q[2];
ry(0.1526416122906699) q[3];
ry(0.18636036304440504) q[4];
ry(0.18636036304440504) q[5];
ry(0.010973940156952355) q[6];
ry(0.022193870704721536) q[7];
ry(-0.273157614... | 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"IIIIIIZIZII",
"IIIIIIIIZIZ",
"IZIIIIIIZII",
"IIIIIIZIIZI",
"IIIIIIIZIZI",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IIZIIIZIIII",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IIZIIIIZIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIIZI",
"IZIIIZIIIII",
"IIIIIZIZI... | [
-0.75,
-1.25,
-1.5,
-0.75,
2.5,
-1,
-0.75,
-0.5,
-0.25,
-1.5,
-1.25,
-1.25,
-1.75,
-0.5,
-0.75,
-1,
-1.75,
-1.5,
-1.5,
-1.75,
-0.25,
-0.25,
-0.5,
-0.75,
-1,
-0.25,
-2.5,
-0.5,
5,
1.5,
-2.5,
2,
-3.25,
2.25,
-0.75
] | 0.973063 | [
0.15345925370427768,
0.2801706530422062,
0.4465458919548898,
0.1526416122906699,
0.18636036304440504,
0.010973940156952355,
0.022193870704721536,
-0.2731576140760748,
-0.02797266497076164,
0.05416441312680194,
0.9213375838571042,
-0.9598445936964813,
-0.020206003816795423,
-1.0091097129636... | {
"n_parameters": 164,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 15 |
5977c975ee74442620a2f317f357b942 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [181, 149], "expectation_value": -3.6606252840470157, "params": [[[0.503, -0.0036000000000000003], [-0.015000000000000001, 0.2561], [0.34840000000000004, -0.0329], [0.5044000000000001, 0.0039000000000000003], [-0.0205, -0.2576], [0.4505, 0.0055000000000000005], [0.0046, -0.27080000000000004], [0.5061, -0.003... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(7) + -0.5 * Z(5) + -0.5 * Z(2) + -1.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01101010", "01001110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.6368484382540816) q[0];
ry(2.9227315603902246) q[0];
rz(-0.6206516692118313) q[0];
rz(2.1396879730439657) q[1];
ry(0.1322274420277105) q[1];
rz(-2.1110038352831224) q[1];
rz(-0.6941584361086042) q[2];
ry(0.02225373660070453) q[2];
rz(0.4483852852682544) 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] 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": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIIIZIZI",
"ZIIIIIZI",
"IIZIIZII",
"IZIIZIII",
"ZZIIIIII",
"IZZIIIII",
"IZIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1,
-0.5,
-0.5,
-0.5,
-1.5
] | 0.985395 | [
0.8259472877183069,
0.08940744852498736,
0.041644373664327855,
0.40859741175756925,
-0.034677458458893556,
-0.10428793543504983,
0.9667859418037674,
-0.01988628325120735,
-0.10591730005430183,
-0.47975317729935807,
0.46440992609833853,
-0.01926456186736214,
0.0759538469791016,
-0.089149584... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
fc7b19754949f0e05a27875fb69f344a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [13, 31], "expectation_value": -5.236158886356721, "params": [[0.053200000000000004, 0.013300000000000001], [-0.0746, -0.0512]], "bitstrings": ["11110010", "11100000"], "total_optimization_steps": 10, "probabilities": [0.006400949292588412, 0.006439365764859504], "optimization_time": 5.179901838302612} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 53.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.039738840687134236) q[0];
rz(-0.2353337499900654) q[0];
rx(-0.039738840687134236) q[1];
rz(-0.021455568999004995) q[1];
rx(0.00241554966618817) q[2];
rz(0.13687828871885735) q[2];
rx(2.1135641398643044) q[3];
rz(0.09140913237800194) q[3];
rx(3.251386907726556) 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": 3} | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII"
] | [
2,
6,
3,
-1,
-0.5,
-1.5,
-2,
-1,
-3,
1,
-0.25,
-0.25,
-0.125,
9,
4.5,
13.5,
-1.5,
-3,
-1,
-0.5,
-0.5
] | 0.972155 | [
-0.039738840687134236,
-0.2358725824553829,
-0.021455568999004995,
0.00241554966618817,
0.13687828871885735,
2.1135641398643044,
0.09140913237800194,
3.251386907726556,
0.10228857007698645,
3.096010759129636,
-0.05175610628712672,
-2.9402631276470084,
0.16839375237658555,
-2.80609486114488... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -22.125,
"target_ratio": 0.97,
"target_value": -21.46125
} | 4 |
a71cab9e3ba720ee8fc5b11fa692bee6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"sour... | {"states": [199, 455], "expectation_value": -5.629673590765932, "params": [0.4, 0.3985, 0.4062, 0.4031, 0.4026, 0.4067, 0.0059, 0.0098, 0.0008, -0.0049, 0.012400000000000001, 0.0043, 0.402, 0.40090000000000003, 0.4025, 0.4038, 0.4047, 0.40800000000000003, 0.4067, 0.4, 0.40540000000000004, 0.40030000000000004, 0.4041, 0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * Z(3) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.8145671648648184) q[0];
rz(-0.02738280574307984) q[0];
ry(0.48358145928127755) q[1];
ry(0.7112877905166939) q[2];
ry(-0.1638593973278838) q[3];
ry(0.04870424468304349) q[4];
ry(-0.04447360582812602) q[5];
ry(0.5860643363172106) q[6];
ry(0.6649198510266324) 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": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"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,
-1.5,
-1,
-3.5,
-1.5,
0,
-0.5,
-0.5,
-1,
0
] | 0.977319 | [
0.8145671648648184,
0.48358145928127755,
0.7112877905166939,
-0.1638593973278838,
0.04870424468304349,
-0.04447360582812602,
0.5860643363172106,
0.6649198510266324,
0.34338490434780167,
-0.05476561148615968,
0.15387576474060424,
0.020860290055094266,
0.06534089327697051,
-0.345657196078632... | {
"n_parameters": 96,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 10 |
03ff3a7533d396b93efc645d4aae3cbe | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [134, 150], "expectation_value": -2.447404862753423, "params": [1.6049, 0.0071, 0.38, 0.0081, 1.2744, 0.008, 1.599, 0.003, 0.5556, 0.0005, 1.6023, 0.005200000000000001, 1.6052000000000002, 0.0024000000000000002, -0.002, 0.0067, 0.009600000000000001, 0.0088, 0.01, 0.0036000000000000003, 0.0005, 0.0033, 0.005]... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(4) + -0.5 * Z(0) + -1.5 * Z(7) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) + -0.5 * Z(6) | 3 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011001", "01101001", "00101101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.10304971759109) q[0];
rz(-pi) q[0];
ry(-0.24410310415688244) q[1];
rz(-pi) q[1];
h q[2];
ry(8.240891103426156) q[2];
cx q[2], q[1];
ry(22.223176400538815) q[1];
cx q[2], q[1];
ry(-13.10126796190722) q[1];
ry(12.694351918652945) q[2];
rz(-pi) q[3];
ry(-2.5393297900... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZIIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIZZI",
"ZIZIIIII",
"IIZIIIZI",
"IIIIZZII",
"IZIZIIII",
"ZZIIIIII",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-1,
-0.5,
-0.5,
0,
-0.5
] | 0.979637 | [
-4.236258050817545,
8.240891103426156,
-44.44635280107763,
10.92177445155632,
23.78718800876833,
29.079093892187462,
-26.20253592381444,
25.38870383730589,
-6.828198545345845,
0.9101744701734394,
0.6023915406110187,
0.10875931289913231,
0.8269743797419378,
-0.03591519098931931,
0.0849196... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 128 |
da3c81488557dc57e6e1f0bd43d65336 | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [22, 41], "expectation_value": -0.17690103895923454, "params": [[0.0684, 0.053500000000000006], [-0.068, -0.0459]], "bitstrings": ["101001", "010110"], "total_optimization_steps": 10, "probabilities": [0.019562564231038172, 0.01956256423103818], "optimization_time": 2.0115506649017334} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"], "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] 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[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"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 |
cea40deaccddfc7c282a06b59a6c5087 | 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": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [1963, 1962], "expectation_value": -1.569341543562199, "params": [1.0016, 0.0032, 1.0055, -0.0018000000000000002, 1.0010000000000001, -0.002, 1.0003, 0.0001, 0.0018000000000000002, 0.4575, 1.0009000000000001, 0.042800000000000005, 0.36050000000000004, 0.3231, 0.9961000000000001, -0.0734, 0.7702, -0.1789, 0.9... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 16 | 11 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00001100110", "00001100011", "00011100010", "00101010100", "10001000011", "00011011000", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.049360359825409726) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.049360359825409726) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.049360359825409726) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.049360359825409726) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIZIIZZ",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIIZZIIZ",
"IIIIIIIZZZI",
"IIIIIIZIZZI",
"IIIIIIZZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.1... | 0.976198 | [
-0.049360359825409726,
-1.6547730307802455,
1.532754734655337,
1.373934988578451,
-1.6128588254329537,
1.2887889665194403,
1.6575845151008592
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 41 |
d75363653ef00cde7e482c2c3392dff7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [11, 9], "expectation_value": -5.563214693258336, "params": [0.0064, -0.0551, 0.0092, -0.029300000000000003, 0.0021000000000000003, -0.132, -0.0117, -0.2223, 0.012400000000000001, -0.1537, -0.0026000000000000003, -0.201, -0.003, -0.22610000000000002, -0.0011, -0.3065, 0.0002, -0.2092, -0.010400000000000001, ... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5800016602217045) q[0];
ry(-3.0160182889402423) q[1];
rz(-pi) q[1];
ry(-0.7937295761698439) q[2];
rz(-pi) q[2];
h q[3];
ry(0.7483050100221447) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7483050100221447) q[3];
cx q[4], q[3];
ry(0.5506897500678624) q[4];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZZIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-1,
0,
-1.25,
-0.25,
1.5,
1.25
] | 0.97588 | [
1.635354928027199,
1.6535551550449947,
1.4966100200442893,
1.2823506458400487,
-1.160003320443409,
1.2213443738772067,
1.3259987864913463,
-0.7536541197185559,
1.1013795001357247,
0.24812610013146263,
0.3257426326105941,
-0.5864937370001171,
-0.3811460272498714,
-0.024507037660432593,
0.... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 2 |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [5, 21], "expectation_value": -2.0719430976342794, "params": null, "bitstrings": ["11010", "01010"], "total_optimization_steps": 28, "probabilities": [0.13262953595047108, 0.6775037254469125], "optimization_time": 16.587418794631958} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) 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",
"IZIIZ",
"ZIIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
7c42f5cbaf3924d31d7b57a9c6bb4341 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capaci... | {"states": [7166, 7678], "expectation_value": -16.96007616243199, "params": null, "bitstrings": ["0010000000001", "0001000000001"], "total_optimization_steps": 100, "probabilities": [0.09227745111348416, 0.676988273225044], "optimization_time": 398.02983593940735} | 0.5 * (Z(5) @ Z(10)) + 2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + -... | 1 | 13 | 4 | {"smallest_eigenvalues": [-17.7, -17.7, -17.7, -17.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000000001001", "1000100100001", "0001000000001", "0010000000001"], "largest_eigenvalue": 61.50000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
ry(0.6083128533175811) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5433802547305959) q[3];
cx q[2], q[3];
ry(0.5433802547305959) q[3];
cx q[2], q[3];
ry(-0.12424007866959128) q[2];
cx q[3], q[2];
ry(0.12424007866959128) q[2];
cx q[3], q[2];
ry(-0.23321258548325835) q[3... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\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];\nh q[12];\nry(0.4397) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... | [
"IIZIIIIZIIIII",
"IZZIIIIIIIIII",
"IZIIIIIZIIIII",
"IIZIIIZIIIIII",
"IIIIIIZZIIIII",
"IZIIIIZIIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIZIIIIIZIIII",
"IZIIIIIIZIIII",
"IIIIIZIIZIIII",
"IIIIZIIZIIIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIIIZIIIZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIIII... | [
0.5,
2,
1,
0.5,
1,
1,
0.5,
0.5,
-0.5,
-1,
-0.5,
1,
1,
2,
-1,
-0.5,
-0.5,
-0.5,
-1,
-1,
-1,
-1,
-2,
0.8,
-0.5,
0.5,
-1,
0.5,
0.5,
0.5,
1,
-0.5,
-1,
-0.5,
-1,
0.5,
0.5,
-0.5,
-1,
0.5,
0.5,
0.4,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5... | 0.970096 | [
0.7477673644688541,
0.9613846404015145,
0.02252293532538234,
1.5616557246565106,
0.9542620641413359,
1.6119115251631717,
1.8023138374237322,
0.001050069666346673,
1.4367050094327156,
1.3726695543954694,
0.5003227925975694,
-1.5038302062652915,
1.666993785983208,
1.3206167549388435,
0.401... | {
"n_parameters": 67,
"n_qubits": 13,
"optimal_eigenvalue": -17.7,
"target_ratio": 0.97,
"target_value": -17.169
} | 5 |
266260d621043cabf37512f90b4b26ac | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [102, 86], "expectation_value": -0.1677041783106129, "params": [[-0.0358, -0.0359], [0.0347, 0.0318]], "bitstrings": ["0011001", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008543554471704806, 0.008753765316224623], "optimization_time": 2.838837146759033} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.477898318581454) q[0];
h q[1];
ry(-0.4888733129307691) q[1];
h q[2];
cx q[2], q[1];
ry(0.4888733129307691) q[1];
cx q[2], q[1];
ry(-0.6924805366395752) q[1];
ry(1.0450823337261748) q[2];
cx q[0], q[2];
ry(-0.25224595363223157) q[2];
cx q[0], q[2];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZZII",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"ZZIIIII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
0,
-0.5,
0
] | 0.998002 | [
-1.5808231262727073,
-1.495224561598988,
1.477898318581454,
-0.9777466258615382,
0.7928363800939433,
-0.4713266192410723,
0.5044919072644631,
-0.44230783479700575,
0.11582191220683138,
-0.1832459711098804,
-0.009696904386748695,
0.19372804678613653,
0.11888128948169988,
0.0742715900397142,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
7c42f5cbaf3924d31d7b57a9c6bb4341 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capaci... | {"states": [7166, 7678], "expectation_value": -16.96007616243198, "params": null, "bitstrings": ["0010000000001", "0001000000001"], "total_optimization_steps": 100, "probabilities": [0.09227745111348414, 0.6769882732250436], "optimization_time": 515.1058967113495} | 0.5 * (Z(5) @ Z(10)) + 2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + -... | 1 | 13 | 1 | {"smallest_eigenvalues": [-17.7, -17.7, -17.7, -17.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000100100001", "0010000000001", "1000000001001", "0001000000001"], "largest_eigenvalue": 61.50000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
ry(0.6083128533175811) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5433802547305959) q[3];
cx q[2], q[3];
ry(0.5433802547305959) q[3];
cx q[2], q[3];
ry(-0.12424007866959128) q[2];
cx q[3], q[2];
ry(0.12424007866959128) q[2];
cx q[3], q[2];
ry(-0.23321258548325835) q[3... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\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];\nh q[12];\nry(0.4397) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... | [
"IIZIIIIZIIIII",
"IZZIIIIIIIIII",
"IZIIIIIZIIIII",
"IIZIIIZIIIIII",
"IIIIIIZZIIIII",
"IZIIIIZIIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIZIIIIIZIIII",
"IZIIIIIIZIIII",
"IIIIIZIIZIIII",
"IIIIZIIZIIIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIIIZIIIZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIIII... | [
0.5,
2,
1,
0.5,
1,
1,
0.5,
0.5,
-0.5,
-1,
-0.5,
1,
1,
2,
-1,
-0.5,
-0.5,
-0.5,
-1,
-1,
-1,
-1,
-2,
0.8,
-0.5,
0.5,
-1,
0.5,
0.5,
0.5,
1,
-0.5,
-1,
-0.5,
-1,
0.5,
0.5,
-0.5,
-1,
0.5,
0.5,
0.4,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5... | 0.970096 | [
0.7477673644688541,
0.9613846404015145,
0.02252293532538234,
1.5616557246565106,
0.9542620641413359,
1.6119115251631717,
1.8023138374237322,
0.001050069666346673,
1.4367050094327156,
1.3726695543954694,
0.5003227925975694,
-1.5038302062652915,
1.666993785983208,
1.3206167549388435,
0.401... | {
"n_parameters": 67,
"n_qubits": 13,
"optimal_eigenvalue": -17.7,
"target_ratio": 0.97,
"target_value": -17.169
} | 5 |
de837449b9b1ac221f958aa18f8b69de | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]} | {"states": [96, 103], "expectation_value": -5.51053427534641, "params": [-0.27540000000000003, 0.036500000000000005, -0.47300000000000003, 0.4214, -0.32120000000000004, 0.0241, -0.4884, 0.46230000000000004, 0.0018000000000000002, 0.6036, -0.013000000000000001, 0.4428, 0.0031000000000000003, 0.49010000000000004, -0.002,... | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.20454636169947982) q[0];
rz(2.8152219299414583) q[0];
rx(-0.44697682268564387) q[1];
rz(2.448194288614724) q[1];
rx(-0.06482965352697878) q[2];
rz(1.789633067939329) q[2];
rx(0.07456323353414633) q[3];
rz(2.240230974956189) q[3];
rx(0.08529955402258597) q[4];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.975716 | [
-0.20454636169947982,
1.2444256031465615,
-0.4469768226856438,
0.8773979618198277,
-0.06482965352697877,
0.21883674114443263,
0.07456323353414634,
0.6694346481612925,
0.08529955402258599,
1.0864724324281896,
-1.0194116337343637,
0.9110280395264493,
-0.32884727213360154,
-0.0769953673853635... | {
"n_parameters": 104,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 107 |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 12], "expectation_value": -2.474107462142595, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 13, "probabilities": [0.0739790737679243, 0.9005751343260909], "optimization_time": 7.216741323471069} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
4d7217bfad7fde8e3edae459aaed01ff | 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": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 4, "source": 1, "target": 2}, {"capac... | {"states": [1022, 511], "expectation_value": -19.625491924432783, "params": [[[-0.006500000000000001, 0.0001], [-0.009300000000000001, 1.9848000000000001], [0.0023, 0.0021000000000000003], [0.0028, 0.0018000000000000002], [0.007, 0.0018000000000000002], [0.0021000000000000003, 0.003], [0.0002, 0.0032], [0.0032, -0.002]... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.25 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(8)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + 1.5 * (Z(9) @ ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-20.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 18.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.030555438276657968) q[0];
ry(-0.047752735349508975) q[1];
ry(-0.09421689701710077) q[2];
ry(0.01385087672388263) q[3];
ry(0.009540309847843445) q[4];
ry(-0.10067854510749089) q[5];
ry(0.0215361620605361) q[6];
ry(0.0009657256497644234) q[7];
ry(0.0215361620605361... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IZIIIIIIIZ",
"IZIIIIIIZI",
"IIIIIIIZZI",
"IIIIIZZIII",
"IZIIIZIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIZIZIII",
"IZIIZIIIII",
"IIIIZIIZII",
"IZIZIIIIII",
"IIIZIIIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZIIZIIIIII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIZIIIIIZI"... | [
-0.75,
-0.5,
-0.75,
-1,
-2,
-2.25,
-1.25,
-1.5,
-1.25,
-0.25,
-1,
-0.75,
-0.5,
1.5,
-1.25,
-1.25,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-1.25,
-2.25,
-0.25,
1.5,
1.25,
0.75,
-0.5,
1.5,
1,
-2,
-1
] | 0.973111 | [
-0.030555438276657968,
-0.047752735349508975,
-0.09421689701710077,
0.01385087672388263,
0.009540309847843445,
-0.10067854510749089,
0.0215361620605361,
0.0009657256497644234,
-1.2888601442784375,
0.03300902468914639,
2.2460796668356826,
-0.058071059777329015,
-0.03036371767324013,
-0.0077... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -20.25,
"target_ratio": 0.97,
"target_value": -19.6425
} | 35 |
-3004246369895625678 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 5, 7], [8, 3, 4, 5], [3, 6], [0, 1, 5], [1, 3], [0, 1, 4], [8, 2, 7], [8, 1, 4, 5], [8, 1, 0], [8, 0, 2], [3, 4, 5, 7], [4, 5, 6, 7]]} | {"states": [249, 221], "expectation_value": -3.4314795147808255, "params": null, "bitstrings": ["100000110", "100100010"], "total_optimization_steps": 47, "probabilities": [0.06269975455438756, 0.9100124121669656], "optimization_time": 98.31162619590759} | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.3833333333333333 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.21666666666666667 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.366666666666667, "smallest_bitstrings": ["100100010"], "largest_eigenvalue": 11.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-5.633723290332503e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(9.038224891712631e-08) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-5.633723290332503e-08) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(9.03822489171263... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5512) 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] = m... | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIZZIII",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"... | [
0.21666666666666667,
0.05,
0.21666666666666667,
0.05,
0.21666666666666667,
0.3833333333333333,
0.21666666666666667,
0.05,
0.21666666666666667,
0.21666666666666667,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666... | 0.787223 | [
-5.633723290332503e-8,
9.038224891712631e-8,
7.958294249117166e-8,
1.7386550249035132e-8,
-1.3043884468388309e-8,
-1.69629256091279e-8,
-1.0961981666458043e-7,
-0.39999121805365595,
1.5707961523393583,
-1.570796306631485,
-1.5707963191745757,
-1.5707964627722495,
1.5707963198315062,
1.5707... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -3.533333333333333,
"target_ratio": 0.97,
"target_value": -3.4273333333333333
} | 327 |
43307769d8a05a2ca68cecbc0fed0778 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -3.06970238287601, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 40, "probabilities": [0.18712618216087368, 0.5299561105391241], "optimization_time": 32.43925952911377} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100110", "100010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00023124809840155782) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00023124809840155782) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.00030875566784865986) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[2];
r... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
0,
-0.25,
-1,
-0.25,
1,
0.5
] | 0.846154 | [
-0.00023124809840155782,
0.00030875566784865986,
2.3115568584055075,
-3.216564759806828,
0.829794500941834,
-0.06741882085370919,
0.8321285704967755,
-0.06948214412449785,
0.5773648280487796,
0.00021406035029157414,
-0.0003257371873867132,
1.986953820724666,
-1.4634239239165174,
-1.0938387... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 500 |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | adaptive_vqe | {"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": [32, 1], "expectation_value": -7.942303765670233, "params": null, "bitstrings": ["011111", "111110"], "total_optimization_steps": 18, "probabilities": [0.15643410268844596, 0.8141130102870059], "optimization_time": 13.331647396087646} | -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 | 2 | {"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... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"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 |
b383d5e4264711dd92b4a62180be161a | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [190, 1214], "expectation_value": -0.8947905476823821, "params": [[[1.5947, 0.0018000000000000002], [1.2777, 0.0019], [1.2637, 0.0051], [1.6051, 0.0073], [0.9976, 0.0099], [1.6065, 0.0085], [1.61, 0.0031000000000000003], [1.6112000000000002, 0.0004], [1.5976000000000001, 0.0027], [1.6056000000000001, 0.0064]... | 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(7) @ Z(6)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(8) @ Z(2)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(8) @ Z(6)) + 0.125 * (Z(9) @ Z(6)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.625, "smallest_bitstrings": ["01101000001"], "largest_eigenvalue": 7.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.0332244253269307) q[0];
rz(-1.2524076165554017) q[0];
rx(-0.0004267548407218824) q[1];
rz(-0.3158017146599542) q[1];
rx(0.030053797261078763) q[2];
rz(-0.26818809358821727) q[2];
rx(3.1747865724033715) q[3];
rz(0.4083189776417641) q[3];
rx(-0.11134647485010626) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIIZZIZIIII",
"IIIIZIIIZII",
"IIZIIIIIZII",
"IZIIIIIIZII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"IIZIZIIIZII",
"IZIIZIIIZII",
"IZZIIIIIZII",
"IZZIZIIIIII",
"IZZIZIIIZII",
"IIIIIIIZI... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0... | 0.988562 | [
3.0332244253269307,
-1.2524076165554017,
-0.0004267548407218824,
-0.3158017146599542,
0.030053797261078763,
-0.26818809358821727,
3.1747865724033715,
0.4083189776417641,
-0.11134647485010626,
-0.835731162971559,
3.1382595116019316,
0.019298666902241607,
3.2356831343129304,
-1.5822524420831... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -4.625,
"target_ratio": 0.97,
"target_value": -4.48625
} | 40 |
7027bf4700e2cca2b06c9dc2f8c2504b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [1023, 4095], "expectation_value": -1.0015339647450028, "params": [[-0.051000000000000004], [0.0666]], "bitstrings": ["110000000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.0004037123735015657, 0.00040371237350156586], "optimization_time": 2.3194968700408936} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(10)) + -1.0 * Z(1) + 1.0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.5, -23.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -22.5, "smallest_bitstrings": ["110000000000", "000000000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.554669733551445) q[0];
ry(0.0075115377980286635) q[1];
ry(0.1753457293963669) q[2];
ry(0.02561321315375832) q[3];
ry(0.22718359311175726) q[4];
ry(0.0005738683243216199) q[5];
ry(-0.05615625184267954) q[6];
ry(-0.044328683944934014) q[7];
ry(0.01111568643994024) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIIZI... | [
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-2,
-2,
-2,
-2,
-2,
-2,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974779 | [
-0.554669733551445,
0.0075115377980286635,
0.1753457293963669,
0.02561321315375832,
0.22718359311175726,
0.0005738683243216199,
-0.05615625184267954,
-0.044328683944934014,
0.01111568643994024,
-0.043709632284047284,
-0.204818870514481,
2.942594658391509,
0.1711752066048693,
-0.02060842908... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 82 |
dab40a2f654e93a72357d226e03c7017 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [863, 855], "expectation_value": -0.9122257238939533, "params": [2.188, 0.0067, 2.0297, 0.004200000000000001, 0.9793000000000001, 0.0086, 2.0716, 0.0027, 0.6649, 0.0006000000000000001, 2.1993, 0.0026000000000000003, 1.5697, 0.0068000000000000005, 2.2059, 0.0028, 2.2028000000000003, 0.0018000000000000002, 2.0... | 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(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011000100", "1000100001", "0101000010", "0010101000"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIIZIZIIZ",
"IIIZIIZIIZ",
"IIIZZIIIIZ",
"IIIZZIZIII",
"IIIZZIZIIZ",
"IIIIZZIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIZIZIIIII"... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125... | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
f42f60bb0bb033a90edc3f33834ff9ec | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1161, 1177], "expectation_value": -121.91575206889614, "params": [[-0.0028, 0.7839, -0.0034000000000000002, 0.0385, 0.8282, 0.002, -0.0555, 0.1617, 0.8637, -0.09670000000000001, 0.0035, 0.7854], [-0.0026000000000000003, 0.7793, -0.002, 0.0727, 0.8063, -0.0054, 0.0529, 0.8965000000000001, 0.8933000000000001,... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(11) @ Z(4)) + 8.0 * (Z(11) @ Z(6)) + -6.0 * Z(2) + 8.0 * Z(1) + 17.5 * Z(4) + 3.0 * Z(3) + 4.5 * Z(6) + 14.0 * Z... | 10 | 12 | 3 | {"smallest_eigenvalues": [-143.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -135.0, "smallest_bitstrings": ["101101100110"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.06836613184666987) q[0];
ry(0.669363081199545) q[1];
ry(0.2770652942221373) q[2];
ry(0.02123343049534407) q[3];
ry(0.7223923585795919) q[4];
ry(0.22252040643037838) q[5];
ry(-0.11058990903959703) q[6];
ry(0.15541064162295673) q[7];
ry(0.9794959385721642) q[8];
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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIZZIII",
"IIIIIZIZIIII",
"IIIIZIIIZIII",
"IIIZZIIIIIII",
"IIIZIIZIIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IZIIIIIIIIZI",
"ZIIIIIIZIIII",
"ZIIIIZIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIIZIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-6,
8,
17.5,
3,
4.5,
14,
15,
-4,
0.5,
-6.5,
8.5,
-15.5
] | 0.97306 | [
-0.06836613184666987,
0.669363081199545,
0.2770652942221373,
0.02123343049534407,
0.7223923585795919,
0.22252040643037838,
-0.11058990903959703,
0.15541064162295673,
0.9794959385721642,
-0.3313425970165009,
-0.129938603278907,
0.8088438692200302,
0.19838825515113792,
0.565350938623521,
0... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -143,
"target_ratio": 0.97,
"target_value": -138.71
} | 16 |
6e104488336dc4e2d5aa766674769faa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [113, 116], "expectation_value": -5.49988376277548, "params": null, "bitstrings": ["0001110", "0001011"], "total_optimization_steps": 31, "probabilities": [1.6414156695510915e-05, 0.9999151816609215], "optimization_time": 25.76160717010498} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.0337459267836137) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.0337459267836137) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0337459267836137) q[1];
cx q[3], q[1];
rz(0.47776601393558416) q[1];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IIIZIZI",
"IIIZZII",
"ZIIZIII",
"ZZIIIII",
"ZIIIZII",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
0,
-0.5,
-1.5,
-0.5
] | 0.980444 | [
0.0337459267836137,
-0.224746660988567,
0.7027276667913227,
-0.7866517681407637,
0.47776601393558293,
0.06859472673856071,
0.0848327084651184,
-1.0358302413519949,
0.588163984686401,
-0.6901458546352301,
-0.263494756161025,
-0.12191721180260982,
-0.5076337228166482,
0.29806378356771174,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 23 |
20b257e7ab3ea05503daa46ec3868b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -1.093013355631523, "params": [[-0.0522, -0.0309, -0.051300000000000005, -0.0574], [0.07690000000000001, 0.0395, 0.0579, 0.058100000000000006]], "bitstrings": ["001011", "011010"], "total_optimization_steps": 10, "probabilities": [0.026261239412106875, 0.026261239412106927], "o... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["001011", "011010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIIIZI",
"IIZZII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-1,
0
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
911c0350d38064fce133b145f43937d0 | 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": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [1245, 1117], "expectation_value": -2.778018720142741, "params": [[[1.1972, -0.0035], [0.2605, -0.4761], [0.24400000000000002, -0.4832], [0.7885000000000001, 0.1917], [1.1989, -0.0019], [0.0018000000000000002, 0.8588], [1.2059, -0.0015], [1.1996, -0.0009000000000000001], [1.1881000000000002, -0.0006000000000... | 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(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.03125 * ... | 1 | 11 | 2 | {"smallest_eigenvalues": [-3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625, -3.90625], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.90625, "smallest_bitstrings": ["00011101010", "01100100110", "01100100011", "01100110001", "001011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(1.926378162768839) q[0];
ry(3.0094995120344574) q[0];
rz(-1.1077064363245341) q[0];
rz(1.477991703600762) q[1];
ry(0.24878961299544225) q[1];
rz(-1.9301689764344323) q[1];
rz(0.4859160685465236) q[2];
ry(0.1086709468180669) q[2];
rz(-0.9325262490607766) 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] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IIIIIZIIIIZ",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIZIIIZII... | [
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,
... | 0.973262 | [
1.095106685552927,
0.04885628729003836,
0.18811896371380793,
-0.36568754559768546,
-0.13500728073976054,
-0.4804857946323283,
0.021038093501563188,
-0.03239059418720801,
1.4372583462978532,
0.24103422777145722,
0.01954275543497633,
1.1986071404817964,
1.8958694546970323,
0.1071318443131753... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -3.90625,
"target_ratio": 0.97,
"target_value": -3.7890625
} | 18 |
ab957251534d09507f870c3a6ef42154 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [48, 5], "expectation_value": -0.024245735065152964, "params": [[-0.003, 0.047], [0.0173, -0.038400000000000004]], "bitstrings": ["001111", "111010"], "total_optimization_steps": 10, "probabilities": [0.016061507307770662, 0.016061507307770673], "optimization_time": 3.3007352352142334} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.25 * Z(3) + -0.75 * Z(4) + -... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["011110", "111010", "101011", "001111"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25
] | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 143], "expectation_value": -1.9921650704592762, "params": null, "bitstrings": ["00110001", "01110000"], "total_optimization_steps": 62, "probabilities": [0.09659391380377318, 0.7394272563540675], "optimization_time": 132.87913417816162} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | 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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.1871) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0,
0.125,
-0.125,
0.12... | 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 |
9c42d64a7466ccf874275fc8844c2c25 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [102, 106], "expectation_value": -4.999874347869909, "params": null, "bitstrings": ["0011001", "0010101"], "total_optimization_steps": 34, "probabilities": [1.7113027183428194e-05, 0.9999243263153885], "optimization_time": 28.92129898071289} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -2.0 * Z(2) + -0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010101"], "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(-9.07577882516075e-09) q[0];
cx q[4], q[0];
rz(1.570796363493768) q[0];
rx(-1.5707963622037864) q[0];
cx q[4], q[2];
rz(-9.07577882516075e-09) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(-9.07577882516075e-09) q[1];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... | [
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"ZIIIZII",
"ZIIIIZI",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-2,
-0.5,
-1,
-1,
0
] | 0.8 | [
-9.07577882516075e-9,
-1.5707962474353703,
1.5707963634937685,
-1.5707962955026136,
1.5707962811770297,
-1.5707963622037862
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 159 |
9f43fe75b2280c840369a5d99b502e49 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [85, 599], "expectation_value": -1.499950065229736, "params": [[1.5687, 0.0025, -0.191, 1.5734000000000001, 1.5734000000000001, 0.0, 0.16160000000000002, 0.42000000000000004, -0.0023, -0.0524], [1.568, 0.18560000000000001, -0.0024000000000000002, -0.7636000000000001, 0.014700000000000001, 0.00290000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1) @ Z(7)) ... | 9 | 10 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.125, "smallest_bitstrings": ["0101001001", "0010110010", "0010111000", "0110101000", "0011001100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.13798124840612863) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.13798124840612863) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.13798124840612863) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.13798124840612863) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIIZZIIIIZ",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZIZIIIZI",
"IIIZIIZIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZIZIIZIII",
"ZIIIIIIZII",
"IIZIIZIIII",
"IZIIIZIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
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,
0,
-0.25,
-0.25,
-0.125,
0,
0,
0.125,
0.125,
-... | 0.833582 | [
0.13798124840612863,
1.1427837653768327,
-1.8894360710812084,
1.440063164765446,
1.845482091247767,
-1.5875174889768033,
3.8510997105473463,
-1.0746530285980647,
2.8299754779374093,
0.45330398543812134
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 298 |
2e176b1388169c31718c374b42e0c725 | 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": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.26400982006032164, "params": [[0.0043, 0.0641, 0.0729], [0.0604, -0.035300000000000005, -0.0597]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010459567703009839, 0.010887369955000266], "optimization_time": 3.6065263748168945} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.3830779787968251) q[0];
ry(-0.14730277028732375) q[1];
ry(0.2538099171114016) q[2];
ry(-0.257984861099843) q[3];
ry(-0.3976519478359509) q[4];
ry(-0.08193555877137179) q[5];
ry(2.987372434386749) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
0.25,
-0.25,
-0.75,
0,
-0.25,
0.25,
0.75
] | 0.973055 | [
-0.3830779787968251,
-0.14730277028732375,
0.2538099171114016,
-0.257984861099843,
-0.3976519478359509,
-0.08193555877137179,
2.987372434386749,
-0.2506718433023688,
0.13138656850175684,
0.08791202870362592,
0.05729874253553658,
-0.066058617225672,
-0.008338066771797888,
0.0017510417082033... | {
"n_parameters": 27,
"n_qubits": 7,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 42 |
dab40a2f654e93a72357d226e03c7017 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [17, 48], "expectation_value": -3.9741052551015095, "params": null, "bitstrings": ["101110", "001111"], "total_optimization_steps": 15, "probabilities": [0.07397911536985187, 0.9005728489954137], "optimization_time": 11.435479164123535} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.5
] | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
-3294643634394555141 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 3, 7, 8, 10, 11], [0, 1, 2, 4, 5, 9, 10, 12], [0, 2, 7, 9, 11, 12], [2, 3, 4, 8, 10], [0, 8, 11, 4], [0, 1, 3, 6, 7, 8, 9, 11], [0, 4, 6, 8, 10, 12], [1, 5, 6, 10, 12], [0, 1, 2, 4, 5, 6, 10, 11], [0, 2, 3, 4, 5, 6, 10], [1, 2, 5, 7, 8, 11, 12], [... | {"states": [3931, 6815], "expectation_value": -1.585682149757207, "params": [[0.3488], [-0.3386]], "bitstrings": ["1000010100100", "0010101100000"], "total_optimization_steps": 40, "probabilities": [0.0004155399460581, 0.0004172825084572511], "optimization_time": 95.35506200790405} | 0.1488095238095238 * (Z(2) @ Z(3)) + 0.075 * (Z(7) @ Z(3)) + 0.11428571428571428 * (Z(7) @ Z(2)) + 0.11904761904761904 * (Z(8) @ Z(3)) + 0.125 * (Z(8) @ Z(2)) + 0.0988095238095238 * (Z(8) @ Z(7)) + 0.1488095238095238 * (Z(10) @ Z(3)) + 0.1845238095238095 * (Z(10) @ Z(2)) + 0.05714285714285714 * (Z(10) @ Z(7)) + 0.13452... | 12 | 13 | 1 | {"smallest_eigenvalues": [-2.6607142857142865], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6273809523809524, "smallest_bitstrings": ["0010101100000"], "largest_eigenvalue": 13.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.011826616345156958) q[2];
cx q[3], q[2];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.027029029384678573) q[7];
cx q[3], q[7];
cx q[2], q[7];
rz(-0.049857840351196246) q[7];
cx q[2], q[7];
h q[8];
cx q[3], 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZII",
"IIIIIZIIIZIII",
"IIIIIZIIIIZII",
"IIIIZIIIIZIII",
"IIIIZIIIIIZII",
"IIIIZZIIIIIII",
"IIZIIIIIIZIII",
"IIZIIIIIIIZII",
"IIZIIZIIIIIII",
"IIZIZIIIIIIII",
"IZIIIIIIIZIII",
"IZIIIIIIIIZII",
"IZIIIZIIIIIII",
"IZIIZIIIIIIII",
"IZZIIIIIIIIII",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZ... | [
0.1488095238095238,
0.075,
0.11428571428571428,
0.11904761904761904,
0.125,
0.0988095238095238,
0.1488095238095238,
0.1845238095238095,
0.05714285714285714,
0.13452380952380952,
0.06904761904761905,
0.1261904761904762,
0.10833333333333334,
0.17619047619047618,
0.06904761904761905,
0.06... | 0.970363 | [
-0.011826616345156958,
0.027029029384678573,
-0.049857840351196246,
-0.07873770407930397,
-0.0038417730864652166,
-0.026716192231037498,
-0.1087299411247343,
-0.029547387529542453,
-0.007697882248820325,
-0.018224919976819662,
0.055906014189575255,
0.06935373896858439,
-0.02435036208902549,
... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -2.6607142857142865,
"target_ratio": 0.97,
"target_value": -2.580892857142858
} | 374 |
7203b0dd22c47919131561d597fd7a8a | 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": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [33, 1], "expectation_value": -1.766111855797972, "params": [[0.0729, 0.0762], [-0.07690000000000001, -0.0716]], "bitstrings": ["111011110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004931146184657568, 0.005449509835646646], "optimization_time": 3.330314874649048} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111110", "111101110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.6261433409579646) q[0];
h q[1];
ry(-1.6261433409579646) q[1];
h q[2];
ry(-1.6261433409579646) q[2];
rz(-pi) q[3];
ry(-0.003475474137040734) q[3];
h q[4];
h q[5];
ry(-1.6261433409579646) q[5];
h q[6];
ry(-1.6261433409579646) q[6];
ry(-0.11685501828103699) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIZIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-0.25,
-0.25,
-0.75,
2.25,
-0.25,
-0.75,
-0.75,
-1,
-0.25,
-0.5,
-1,
-1.25,
-0.25,
0,
-1,
2.25,
-0.5,
-1,
0.25,
1.5
] | 0.997034 | [
1.5924862099504202,
-1.6261433409579646,
-1.5138906424613596,
-1.5345727500490354,
-0.07939810176580403,
0.11989866789499973
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 1 |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [33, 49], "expectation_value": -1.2504429663587326, "params": [[0.0589, 0.0482, 0.068, 0.046400000000000004], [-0.067, -0.034800000000000005, -0.0539, -0.0402]], "bitstrings": ["011110", "001110"], "total_optimization_steps": 10, "probabilities": [0.024419336652462258, 0.02821701084548223], "optimization_tim... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
0,
-1
] | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
d2601bbf36e7658df88520110518167a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [32445, 32190], "expectation_value": -13.148711445358593, "params": [[0.2031, 0.76], [-0.5136000000000001, -0.1927]], "bitstrings": ["1000000101000010", "1000001001000001"], "total_optimization_steps": 260, "probabilities": [0.0049116903374987345, 0.004911690337498735], "optimization_time": 68.81285881996155... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 1 | 16 | 2 | {"smallest_eigenvalues": [-16.000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.99999999999997, "smallest_bitstrings": ["1000001001000001"], "largest_eigenvalue": 56.00000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(1.6170527242996016) q[0];
h q[1];
ry(0.7805138677541621) q[1];
h q[2];
h q[3];
ry(-0.4322759362401726) q[3];
h q[4];
h q[5];
ry(1.6170527242996016) q[5];
h q[6];
ry(0.7805138677541621) q[6];
cx q[0], q[6];
ry(-0.7805138677541621) q[6];
cx q[0], q[6];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"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,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970924 | [
1.6170527242996016,
1.5610277355083242,
-0.679222417946599,
1.0685797201107086,
-0.7139150329584052,
1.2551773451408712,
-0.8645518724803452,
1.1591405251708378,
-1.2079243771877828,
0.5130784379949134,
-0.5721670552309985,
0.3166512198214887,
-0.5898526595454422,
0.3774141208097306,
-0.... | {
"n_parameters": 46,
"n_qubits": 16,
"optimal_eigenvalue": -15.99999999999997,
"target_ratio": 0.97,
"target_value": -15.519999999999971
} | 6 |
ac36c5a153720f2afd43ce774542e80a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.20472872522013064, "params": [[-0.0196, 0.0354], [0.030000000000000002, -0.0235]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.016779630157402643, 0.016838389753905485], "optimization_time": 3.1405956745147705} | -0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05068074801498348) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.9068776481257712) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.21807639072518945) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.8389376578690388) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIZZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.25,
-2.25,
-1.5,
-2.5,
-0.75,
-1.5,
2,
-1,
-0.75,
-0.75,
-0.5,
-0.25,
-1.25,
2.5,
-0.5,
0
] | 0.672188 | [
0.05068074801498348,
-0.9068776481257712,
-0.21807639072518945,
-0.8389376578690388,
-0.5234317396873804,
1.2952058031180758,
-0.19869109614486527,
-0.03125778857127778,
-0.20889072827163999,
0.4804048469203415,
0.13591911593430336,
-0.9021481901189203
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 256 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [443, 427], "expectation_value": -3.046307812051569, "params": [2.6756, 0.006200000000000001, 2.6095, 0.003, 1.5068000000000001, 0.0027, 2.3423000000000003, 0.0081, 1.5334, 0.0039000000000000003, 2.6677, 0.0034000000000000002, 1.5171000000000001, 0.0037, 2.6447000000000003, 0.0014, 2.6341, 0.0047, 0.008, 0.0... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
2be9598749a54d45ae6c968f3644c50e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [1, 7], "expectation_value": -0.13007177406527246, "params": [[0.061000000000000006, 0.0468], [-0.048600000000000004, -0.0439]], "bitstrings": ["1110", "1000"], "total_optimization_steps": 10, "probabilities": [0.06910220683576904, 0.06910239178044608], "optimization_time": 1.9996719360351562} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4735206763607496) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01182672083452973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.01182672083452973) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4735206763607496) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.25,
0.5,
0.25
] | 0.731547 | [
0.4735206763607496,
-0.01182672083452973,
-0.00498214199769815,
-1.582999198203383,
-1.7345000367827936,
1.438980752288773
] | {
"n_parameters": 6,
"n_qubits": 4,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 193 |
0c3fcbc9e53b010416a5dc3cca6f6cb7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"sour... | {"states": [171, 169], "expectation_value": -4.55391778232016, "params": [-0.010700000000000001, -0.0108, 0.3906, 0.39940000000000003, 0.32080000000000003, 0.3224, 0.40840000000000004, 0.40080000000000005, -0.0132, -0.009600000000000001, 0.4058, 0.40750000000000003, -0.0161, -0.013900000000000001, 0.3934, 0.39080000000... | 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(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(1) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["101010110", "011110100", "110010101", "111010100", "101100110", "100010111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.21111498807698553) q[0];
rz(0.10555749403849277) q[0];
ry(0.13909242607221134) q[1];
ry(-0.00664597219892369) q[2];
ry(0.2079340248578086) q[3];
ry(0.07831016661878276) q[4];
ry(0.25065546508438385) q[5];
ry(-0.31525587592504634) q[6];
ry(-0.07027463809177667) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-1.5,
-0.5,
-2,
-2,
-0.5,
-0.5,
0
] | 0.973609 | [
0.21111498807698553,
0.13909242607221134,
-0.00664597219892369,
0.2079340248578086,
0.07831016661878276,
0.25065546508438385,
-0.31525587592504634,
-0.07027463809177667,
0.7358480555775059,
0.09190701435418475,
-0.028157517722831968,
-0.16465114394787822,
-0.1283794432709532,
-0.0945000487... | {
"n_parameters": 128,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 8 |
86e4b8099a203166b41398b899a0f326 | 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": [1265, 1249], "expectation_value": -105.55338439003161, "params": [0.9927, 0.011300000000000001, 0.0023, 0.6359, 0.1908, 0.5558000000000001, 0.9981000000000001, 0.0024000000000000002, 0.9942000000000001, 0.0045000000000000005, 0.9993000000000001, 0.1763, 0.5684, 0.25730000000000003, -0.002, -0.5091, 0.0015, ... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(6)) + -6.5 * Z(1) + 8.0 * Z(0) + 15.0 * Z(3) + 2.5 * Z(2) + 18.0 * Z(6) + 15.0 * Z... | 18 | 11 | 3 | {"smallest_eigenvalues": [-118.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["01100011110"], "largest_eigenvalue": 166.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.1002514144299993) q[0];
rz(0.0043562273855966005) q[0];
rx(0.14848559985371634) q[1];
rz(0.009171468709625985) q[1];
rx(0.06539610390173006) q[2];
rz(0.15447938161402708) q[2];
rx(3.0038629024387307) q[3];
rz(0.1673886050680007) q[3];
rx(3.111598146377786) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIZIIZIII",
"IIIIZIZIIII",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IZIIIIIIIIZ",
"ZIIIIIIZIII",
"ZIIIZIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
-6.5,
8,
15,
2.5,
18,
15,
16,
-2.5,
-6.5,
8.5,
-11.5
] | 0.974925 | [
3.1002514144299993,
0.0511726817454221,
0.14848559985371634,
0.009171468709625985,
0.06539610390173006,
0.15447938161402708,
3.0038629024387307,
0.1673886050680007,
3.111598146377786,
3.193527233899964,
-0.31322916751003677,
0.4450281490896323,
0.08764639303382075,
-0.24575630906617102,
... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -118,
"target_ratio": 0.97,
"target_value": -114.46
} | 9 |
-2822516547489083760 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 5], [1, 2, 6], [3, 4, 7], [0, 2, 5], [0, 1, 2, 3], [0, 1, 5]]} | {"states": [108, 109], "expectation_value": -0.06090457204736635, "params": [[-0.0813], [0.0787]], "bitstrings": ["10010011", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00420904201523551, 0.004244196490050199], "optimization_time": 2.238420009613037} | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.1666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(-1.4642718126651828) q[3];
cx q[5], q[3];
cx q[5], q[1];
rz(-0.33080142989829286) q[1];
cx q[5], q[1];
cx q[3], q[1];
rz(0.23029370226558427) q[1];
cx q[3], q[1];
cx q[5], q[2];
rz(-0.33080142989829286) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[3];
rz(x0) q[3];
cx q[5],... | null | {"circuits": [], "gradients": []} | [
"IIZIZIII",
"IIZIIIZI",
"IIIIZIZI",
"IIZIIZII",
"IIIIZZII",
"IIIIIZZI",
"IZIIIIZI",
"IZIIIZII",
"IIIZZIII",
"ZIIIZIII",
"ZIIZIIII",
"IIZIIIIZ",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIII",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIII... | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.25,
0.25,
0.33333333333333326,
0.29166666... | 0.64806 | [
-1.4642718126651828,
-0.33080142989829286,
0.23029370226558427,
-0.2205173221426971,
-0.18128958726737876,
0.14162727310333245,
-0.98112694278339,
0.8823909702647188
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -1.9999999999999996,
"target_ratio": 0.97,
"target_value": -1.9399999999999995
} | 187 |
13897d244e0881b4447dd2a9a298bf14 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [123, 118], "expectation_value": -17.145725425231294, "params": [[-0.0349, -0.0088], [0.067, 0.07150000000000001]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010422107721273617, 0.013150086967708115], "optimization_time": 4.165269613265991} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 11.0 * Z(1) + 6.5 * Z(0) + 13.5 * Z(2) + 11.0 * Z(3) + 6... | 1 | 8 | 2 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.030727019186459183) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.030727019186459183) q[1];
cx q[2], q[1];
rz(-1.5882059243987203) q[2];
rx(1.5243136193984859) q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.030727019186459183) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
6.5,
13.5,
11,
6,
14,
14,
4.5
] | 0.98132 | [
0.030727019186459183,
-1.5882059243987205,
1.700638967703943,
-1.2603176422809077,
1.524313619398486
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 27 |
148c98be54f48380a1d59caea5fb9c95 | 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": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [0, 1], "expectation_value": -19.442315408280294, "params": [0.0038, 0.1804, 0.0021000000000000003, 0.2918, 0.0029000000000000002, 0.4572, 0.0051, -0.4318, 0.0059, 0.226, 0.0021000000000000003, 0.4335, 0.0021000000000000003, 0.45730000000000004, 0.6038, 0.008400000000000001, 0.0018000000000000002, 0.2484, 0.... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 3 | 8 | 3 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.03939289528804486) q[0];
rz(0.6104138206589251) q[0];
rx(-0.00681563279887627) q[1];
rz(-0.9006858468689849) q[1];
rx(-0.021959365881757037) q[2];
rz(0.3356439632631911) q[2];
rx(0.03471226526304572) q[3];
rz(0.8790273908335049) q[3];
rx(-0.006815632798876268) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIZII",
"IIZIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-1.5,
-2.25,
-0.25,
-0.25,
-1,
-1.25,
-1.5,
-1.25,
-0.25,
-0.25,
-0.75,
-0.5,
-1.5,
-0.25,
-1,
-1,
3.5,
-0.5,
0.75,
-0.25,
0.5,
0,
-0.5,
0.25,
-3.75,
3
] | 0.976469 | [
-0.03939289528804486,
0.3056415618650099,
-0.006815632798876269,
-0.5864878321915629,
-0.021959365881757044,
0.5716771692755518,
0.03471226526304572,
0.731257367887284,
-0.33277460038548357,
-0.06527320802077959,
-0.4876274159857306,
-0.0662292616450873,
1.4837848577123118,
0.1080116767710... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 8 |
e69550c833474bf45ede93c29793364e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [117, 116], "expectation_value": -4.022175509203832, "params": [0.9921000000000001, 0.0008, 0.9981000000000001, -0.0006000000000000001, 0.997, 0.0026000000000000003, -0.0056, -0.3239, 1.0099, -0.002, 0.1763, -0.3346, 0.6739, 0.2792, 0.994, 0.0017000000000000001, 0.9977, 0.0, 0.9949, -0.0195, 0.0061, -0.01920... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(2) + -1.0 * Z(6) + 0.0 * Z(4) | 4 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011010", "0001011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.12756266301791686) q[0];
rz(0.4735655294126939) q[0];
rx(0.7057245043454681) q[1];
rz(0.01739646315227371) q[1];
cx q[1], q[0];
rz(-0.17079390449201795) q[0];
cx q[1], q[0];
rx(-0.09359776567047304) q[0];
rz(0.3946108485469644) q[0];
rz(0.16138507446855765) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZIZI",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIIIZII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-1,
0
] | 0.977207 | [
-0.12756266301791686,
0.3027716249206759,
0.7057245043454681,
0.01739646315227371,
-0.02127030246383349,
0.4485978116077558,
0.7355465327503719,
0.1720628108444342,
0.5553067573265572,
0.11298983305762661,
0.04772227440995786,
-0.13462033402531828,
-0.05790695997609201,
0.37542508224080573... | {
"n_parameters": 98,
"n_qubits": 9,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 14 |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [33, 49], "expectation_value": -0.8262402875076005, "params": [[0.0752, 0.0765], [-0.067, -0.0689]], "bitstrings": ["011110", "001110"], "total_optimization_steps": 10, "probabilities": [0.020765943622250135, 0.022925881573019193], "optimization_time": 4.616900682449341} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | 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];... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
0,
-1
] | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
0c36283121e8c25f75256b89b8ad4f89 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -19.046644097377907, "params": [1.1173, 0.2005, 0.7072, 0.008700000000000001, 1.1207, 0.1537, 0.5234, 0.005200000000000001, -0.0037, 1.5939, 0.0025, 0.005200000000000001, 0.0059, 2.0948, 0.0025, 0.0008, -0.0035, 1.5991, 0.0025, 0.0026000000000000003, 0.0019, -1.8860000000000001... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(8) @ Z(3)) + 1.5 * (Z(8) @ Z(2)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 *... | 6 | 9 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.638822702751636) q[0];
cx q[1], q[0];
rz(-0.07776755994511442) q[0];
rx(-0.962012343407071) q[0];
rz(-0.07776755994511442) q[1];
rx(-0.962012343407071) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.5680636881758625) q[2];
cx q[3], 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[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-1,
-3,
1.5,
-3,
-2.5,
1,
-2.5,
-3.5,
1.5,
-3.5,
1,
0.5,
1,
0.5,
0.5,
-3,
-2,
0.5,
0.5,
1.5,
-2.5,
1.5,
0.5,
-3,
-2,
1.5
] | 0.614806 | [
-1.638822702751636,
-0.5680636881758625,
-0.311753831837824,
-0.7293136013734619,
-0.33699145614501813,
-0.5403635621375146,
-0.07776755994511428,
-0.9097872087731514,
-0.962012343407071
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 244 |
db350f4c6cc12fe7a27604bdeac9089b | 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": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [3, 1], "expectation_value": -0.5686306641372152, "params": [[-0.0795], [0.07880000000000001]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0057648629298741195, 0.005958550445076871], "optimization_time": 2.3148744106292725} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4275268824029438) q[0];
h q[1];
ry(-1.5652080334247682) q[1];
ry(-0.03368310796321593) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5652080334247682) q[3];
h q[4];
ry(-1.6531305993622973) q[4];
h q[5];
ry(-1.5652080334247682) q[5];
h q[6];
h q[7];
cx q[7], q[0];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
-0.25,
1.5,
-0.25,
-0.75,
-1.75,
-0.25,
0.25,
0.25,
-0.5,
0,
1.25,
0.75
] | 0.972524 | [
-1.5652080334247682,
-0.8550537648058876,
1.3145543956205288,
-0.8916018977800446,
-1.5187606997036145,
-1.6531305993622973,
0.19570433574163723,
-0.335754560642802,
-0.0367050382561322,
-0.08837873644366767
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 10 |
74f1125e6d8fb81d50ccda86d2f6d4a3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1424, 1425], "expectation_value": -88.88092820524865, "params": [[0.9909, -0.0108, 0.5118, 0.7117, 0.0838, -0.1076, 0.784, 0.002, -0.0038, 0.0006000000000000001, -0.0363], [0.9717, 0.0641, 0.9945, 1.0026000000000002, 0.37920000000000004, -0.06670000000000001, 0.8275, 0.0021000000000000003, 0.0043, 0.0044, 0... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(10) @ Z(1)) + 8.0 * Z(1) + 15.5 * Z(0) + 13.0 * Z(2) + 3.5 * Z(4) + 6.5 * Z(3) + 4.5 * Z(5) + 9.5 * Z(6) + -7.0 *... | 10 | 11 | 3 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["01001101110"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.4987849714605779) q[0];
ry(1.633474085358458) q[1];
ry(1.5838680407841645) q[2];
ry(1.5776812204405917) q[3];
ry(1.5715009133738083) q[4];
ry(1.6657292994128765) q[5];
ry(1.590544208225914) q[6];
ry(1.599768451918965) q[7];
ry(1.514915035999047) q[8];
ry(1.5127381... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIZIIIIIIIZ",
"ZIIIIIIIIZI",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
8,
15.5,
13,
3.5,
6.5,
4.5,
9.5,
-7,
-4,
2.5,
-10
] | 0.975124 | [
1.4987849714605779,
1.633474085358458,
1.5838680407841645,
1.5776812204405917,
1.5715009133738083,
1.6657292994128765,
1.590544208225914,
1.599768451918965,
1.514915035999047,
1.5127381621919993,
1.5795993837709599,
1.407193949184884,
1.472952255989399,
1.653813580406381,
-1.497102267224... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -112,
"target_ratio": 0.97,
"target_value": -108.64
} | 51 |
31fafd24e2b21983a20dad3370ecb507 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [230, 118], "expectation_value": -23.20676055354621, "params": [[-0.025900000000000003, -0.010400000000000001, 0.0155], [0.0655, 0.0699, 0.0631]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014750283198782908, 0.017076896983002254], "optimization_time": 5.2513... | 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 10.5 * Z(3) + 24.0 * Z(1) + 13.0 * Z(2) + 6... | 1 | 8 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 142.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.058253686336141475) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.058253686336141475) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.058253686336141475) q[2];
cx q[0], q[2];
rz(1.1410383833764977) q[0];
rx(0.005029114801164448... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIIZIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
6,
10.5,
24,
13,
6,
9,
13.5,
0.5
] | 0.97621 | [
-0.058253686336141475,
1.1410383833765168,
-0.4448439785399843,
-1.1082623465702994,
-1.2367139040000903,
-1.3649777563299967,
-1.067164624343152,
0.9516333575992705,
0.005029114801164497,
0.0271847136653144,
0.48641244776734516,
-0.6555266363484309,
-0.24439347488521274,
-0.31698209439524... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 39 |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [95, 127], "expectation_value": -0.0808840444212337, "params": [[-0.0303], [0.0227]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004061431673079408, 0.004066971115759378], "optimization_time": 2.1406612396240234} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10000000", "10110000", "10100000", "10010000", "10111000"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7388502636479408) q[0];
h q[1];
ry(0.8364853737259059) q[1];
h q[2];
h q[3];
h q[4];
ry(0.787806496993027) q[4];
h q[5];
ry(1.5530979908529392) q[5];
h q[6];
ry(1.5530979908529392) q[6];
cx q[6], q[1];
ry(-0.8364853737259059) q[1];
cx q[6], q[1];
h q[7];
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;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZZIII",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-1,
-1.75,
-1,
1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
1.5,
-1.5,
-1,
-0.25,
-0.25,
2.25
] | 0.972173 | [
1.5530979908529392,
1.6729707474518118,
-1.4777005272958816,
1.0428584261011464,
-0.5387470518195514,
1.575612993986054,
0.2895910452877033,
-0.14095535837536688,
0.12654572147272122,
0.0819225196994189,
0.10364277040264942,
0.26808859046062694,
-0.06220001776916481,
-0.12253649147198077,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 1 |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [4, 9], "expectation_value": -0.034722631728181706, "params": [[0.0244, 0.016, -0.0221, -0.0465], [-0.041, -0.0386, -0.0207, 0.020900000000000002]], "bitstrings": ["1011", "0110"], "total_optimization_steps": 10, "probabilities": [0.06425315917258885, 0.06601793828092364], "optimization_time": 3.438042640686... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"], "largest_eigenvalue": 3.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
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": []} | [
"IIZZ",
"ZIIZ",
"IZIZ",
"ZZII",
"ZZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"ZIII",
"IZII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.25,
-0.75
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
3d599008e6d247101eb02503201a8a05 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [108, 44], "expectation_value": -5.970784420673768, "params": [0.0025, 0.3523, 0.0023, 0.5745, 0.005, 0.1787, 0.0033, -0.5942000000000001, 0.0033, 0.5824, 0.7989, 0.2541, 0.7967000000000001, 0.3724, 0.549, 0.6973, 0.7971, 0.1948, 0.8046000000000001, 0.41150000000000003, 0.30760000000000004, 0.438, 0.7549, 0.... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 18 | 12 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIIZI... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
0.5,
1,
-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,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
1.5,
2,
3,
2,
-2,
... | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
0541faf635a6399f550a5b5935bfa17a | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [6, 24], "expectation_value": -0.3016680110330188, "params": [[-0.0776], [0.0752]], "bitstrings": ["111001", "100111"], "total_optimization_steps": 10, "probabilities": [0.01788782787985055, 0.017887827879850562], "optimization_time": 1.8206453323364258} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
-4843817210917714872 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 6], [8, 6], [2, 4, 7], [4, 5], [1, 3], [9, 4, 1], [0, 1, 5], [8, 9, 4], [9, 3, 4]]} | {"states": [790, 407], "expectation_value": -2.1135411830079445, "params": [[[1.5677, 1.6546], [1.4979, -0.0196], [-1.5905, 1.5723], [0.23240000000000002, 1.5719], [0.2641, 0.10990000000000001], [1.9838, 1.1159000000000001], [1.2587000000000002, 1.3201], [1.5725, 1.5679], [1.5770000000000002, 1.338], [1.569100000000000... | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.16... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["1001101000"], "largest_eigenvalue": 7.000000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5981307593452145) q[0];
ry(1.6083942334768373) q[1];
ry(-1.5971870834932511) q[2];
ry(1.5192543617625376) q[3];
ry(1.5340382907614243) q[4];
ry(1.4963066253143542) q[5];
ry(1.516378012781463) q[6];
ry(1.452346605869497) q[7];
ry(1.6252259454407916) q[8];
ry(1.5178... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZIIIIZI",
"IZIZIIIIII",
"IIIIIZIIZI",
"IZIIIZIIII",
"IIIIIZIZII",
"IIZIIZIIII",
"IIZIIIIZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIIIIZIZI",
"IIIIIZZIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"ZIIIIZIIII",
"ZIIIIIZIII",
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IIIZIIIIII",
"IIIIIIIIZI",
"IZIIIIIIII"... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
... | 0.97263 | [
1.5981307593452145,
1.6083942334768373,
-1.5971870834932511,
1.5192543617625376,
1.5340382907614243,
1.4963066253143542,
1.516378012781463,
1.452346605869497,
1.6252259454407916,
1.5178115367291678,
1.6460192134996487,
-1.312148004539874,
1.499009374127193,
1.640638690053552,
-1.59974646... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -3.3333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333334
} | 65 |
a4887282391b847c36275b441eb6d545 | 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": 2}, {"source": ... | {"states": [20, 3], "expectation_value": -0.5054580875542934, "params": [[-0.0734], [0.0776]], "bitstrings": ["101011", "111100"], "total_optimization_steps": 10, "probabilities": [0.018257204927452256, 0.01825720492745226], "optimization_time": 1.518347978591919} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5947826491304309) q[0];
ry(-3.1353499367076596) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5947826491304309) q[2];
h q[3];
ry(1.4438293180331603) q[3];
ry(-0.08654683917800882) q[4];
rz(-pi) q[4];
cx q[3], q[4];
ry(0.08255773053450952) q[4];
cx q[3], q[4];
ry(-0.08... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"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,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2,
-1.5,
-1.5,
-1.5
] | 0.999195 | [
-1.5947826491304309,
-1.4016917570823781,
1.4438293180331603,
-0.16511546106901903,
0.2414485837592053,
0.10282247901678558
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
3a5e93a6522b0debcced28655340b370 | 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": 7, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 7, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -29.99594838042041, "params": [0.0004, 0.1709, 0.0011, 0.2015, -0.0036000000000000003, 0.2275, -0.0005, 0.2381, 0.3003, -0.0002, 0.3039, -0.0001, -0.0011, 0.2403, -0.0018000000000000002, 0.2335, -0.0045000000000000005, 0.23390000000000002, -0.0046, 0.2354, -0.005, 0.2346, -0.00... | -1.75 * (Z(0) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + 2.5 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -2.25 * (Z(1) @ Z(8)) + -2.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.25 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @... | 6 | 11 | 3 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 32.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.037999392270183334) q[0];
rz(1.6138554769419997) q[0];
rx(0.19198116915337898) q[1];
rz(1.7827157089336474) q[1];
rx(0.3923632091272242) q[2];
rz(1.451475892954238) q[2];
rx(-0.10297140916700372) q[3];
rz(2.237259732182018) q[3];
rx(0.050696212674097886) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIZIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIZIIIIIIZI",
"IIIIIIZZIII",
"IIZIIIZIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIZIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZIIIZII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIIZI",
"ZIIIZIIII... | [
-1.75,
-0.5,
2.5,
-1.75,
-2.25,
-2.75,
-0.25,
-0.5,
-1,
-3.25,
-0.5,
-1.75,
-0.25,
-1.5,
-1,
-0.75,
-1.25,
-1.75,
-2.25,
-0.25,
-0.25,
-0.25,
-1.5,
-0.75,
-1,
-0.5,
-1.75,
0.75,
-0.25,
-2.5,
0.5,
-3.25,
-0.75,
0.25,
3,
-2,
-0.25,
4.5
] | 0.972526 | [
0.03799939227018334,
0.043059150147103584,
0.19198116915337896,
0.21191938213875106,
0.3923632091272242,
-0.11932043384065855,
-0.1029714091670037,
0.6664634053871208,
0.05069621267409789,
0.08326658781513935,
-0.04992826844587948,
0.025011330461926176,
0.11710482336227845,
0.2530621191124... | {
"n_parameters": 120,
"n_qubits": 11,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 14 |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [28, 44], "expectation_value": -6.651787933140769, "params": [[0.0811, -0.12490000000000001, -0.1441, -0.0497], [-0.126, 0.0877, 0.134, 0.1296]], "bitstrings": ["1111100011", "1111010011"], "total_optimization_steps": 20, "probabilities": [0.0077626785229324945, 0.0077626785229324945], "optimization_time": 4... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 4 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"], "largest_eigenvalue": 26.666666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.008562219394374999) q[0];
rz(-0.18065508670005936) q[0];
rx(-0.0028228946995007883) q[1];
rz(-0.28081080015860127) q[1];
rx(0.008562219394374997) q[2];
rz(0.009275911461020393) q[2];
rx(0.008562219394374997) q[3];
rz(0.16646644706220792) q[3];
rx(0.440647895616474... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-0.5,
-1,
0.6666666666666667,
0.5,
-0.5,
-1,
-0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
0.5,
0.5,
-1,
1,
1,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-2.5,
1.1102230246251565e-16,
2.220446049250313e-16,
0,
2.5,
2.5,
2,
4,
-0.5,
-0.5
] | 0.979582 | [
0.008562219394374997,
-0.15097596248673917,
-0.0028228946995007883,
-0.28081080015860127,
0.009275911461020393,
0.16646644706220792,
0.4406478956164749,
-0.09140447979676149,
2.665613078940768,
-0.11848032829119896,
3.109469190815953,
0.2534456444784792,
3.2595205084667747,
-0.077611468584... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -10.333333333333332,
"target_ratio": 0.97,
"target_value": -10.023333333333332
} | 11 |
00c47f772e828bc0d4453cbe4002ef93 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [21, 7], "expectation_value": -12.59364044578392, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10610002632784891, 0.6139460215007818], "optimization_time": 118.62930607795715} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 11 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.5,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
4f9c1bb9cc86662913da6ad2a3367139 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [880, 1009], "expectation_value": -13.407701242997225, "params": null, "bitstrings": ["0010001111", "0000001110"], "total_optimization_steps": 100, "probabilities": [0.1256472089171544, 0.482432986438783], "optimization_time": 183.8311984539032} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * (Z(6) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-21.0, -21.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.0, "smallest_bitstrings": ["0000000100", "0000001110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.05205831610111998) q[0];
ry(-0.013430880362730619) q[1];
ry(0.04746563100550836) q[2];
ry(-0.07019947872602965) q[3];
ry(0.1306827786194364) q[4];
ry(0.04052314759061204) q[5];
ry(-0.09335091107984757) q[6];
ry(-2.4606937294559166) q[7];
ry(-0.04300553737560367) q... | null | {"node": 5} | {"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[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] = measu... | [
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIIIZZIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIZIIIIIII"... | [
-2.5,
-2.5,
-2,
-2.5,
1,
-2.5,
-2.5,
0.5,
1,
-2,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5
] | 0.972036 | [
0.05205831610111998,
-0.013430880362730619,
0.04746563100550836,
-0.07019947872602965,
0.1306827786194364,
0.04052314759061204,
-0.09335091107984757,
-2.4606937294559166,
-0.04300553737560367,
0.13612573240937348,
3.0555791595625283,
0.008939191155741752,
-0.6066140789329155,
-0.2670822125... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 23 |
1536b63d241483fb5dc02588be4ba19b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [41, 14], "expectation_value": -0.757407549262521, "params": [[0.0762, 0.07930000000000001], [-0.06620000000000001, -0.0729]], "bitstrings": ["1010110", "1110001"], "total_optimization_steps": 10, "probabilities": [0.01139710626207321, 0.011967779642921027], "optimization_time": 3.2317795753479004} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -2.0 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011110", "1010101", "0011101", "1010110", "1110001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.04779183555766979) q[0];
rz(pi/2) q[0];
ry(0.8306418339210944) q[1];
ry(0.05682480482049211) q[2];
ry(-0.05796229018538766) q[3];
ry(0.8499443990166291) q[4];
ry(0.7642536277892962) q[5];
ry(0.9814073438298536) q[6];
ry(0.521067015089204) q[7];
ry(1.1286822792896... | OPENQASM 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IIZIIZI",
"IIIZZII",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-2,
-0.5,
-1
] | 0.975441 | [
-0.04779183555766979,
0.8306418339210944,
0.05682480482049211,
-0.05796229018538766,
0.8499443990166291,
0.7642536277892962,
0.9814073438298536,
0.521067015089204,
1.128682279289605,
-0.10572734460785212,
-0.004947795862729976,
-0.08436678599328315,
0.3852756836515644,
0.04561754259989417,... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 50 |
fa12f3a697c97a90a7d75ad197dde7b9 | 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": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [34, 42], "expectation_value": -0.10348576666522667, "params": [[0.0031000000000000003, -0.060700000000000004, -0.031200000000000002], [-0.0695, 0.0596, 0.0482]], "bitstrings": ["011101", "010101"], "total_optimization_steps": 10, "probabilities": [0.017128100882690265, 0.018633672506394614], "optimization_t... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | 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] 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0,
0,
-0.75,
-0.75,
0,
-0.75
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
d6ca78958a015bca449989b3cc828628 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [23, 71], "expectation_value": -0.5396651997276531, "params": [[0.054900000000000004, 0.046200000000000005, -0.0008], [-0.0563, -0.046200000000000005, -0.0183]], "bitstrings": ["1101000", "0111000"], "total_optimization_steps": 10, "probabilities": [0.010179241451758188, 0.010179241451758188], "optimization_... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -2.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101000", "0111000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4045751282710122) q[0];
rz(pi/2) q[0];
ry(0.6816005629861718) q[1];
ry(1.8376207076971505) q[2];
ry(0.6829995480513509) q[3];
ry(1.4492712809194404) q[4];
ry(-0.0846059078972762) q[5];
ry(-0.19128764720461447) q[6];
ry(1.8677165242780502) q[7];
ry(0.03043305180600... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"ZIIIIZI",
"ZIIZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-2,
0,
-0.5,
0
] | 0.970394 | [
1.4045751282710122,
0.6816005629861718,
1.8376207076971505,
0.6829995480513509,
1.4492712809194404,
-0.0846059078972762,
-0.19128764720461447,
1.8677165242780502,
0.030433051806005987,
1.684436087595031,
2.3889462813476596,
0.3885995382391464,
0.07537670339774295,
1.8102815052960888,
-1.... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 75 |
32c52c2bcf66ad7577bb97e9bc339d3a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -29.078234022163066, "params": [[[0.0001, -0.030100000000000002], [-0.0033, -0.2034], [-0.0001, -0.003], [0.0013000000000000002, -0.0028], [0.0007, -0.0031000000000000003], [0.0001, -0.0031000000000000003], [0.0001, -0.0031000000000000003], [0.0015, -0.0027], [-0.0035, -0.0... | -0.5 * (Z(0) @ Z(4)) + -1.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + 1.5 * (Z(3) @ Z(0)) + -1.25 * (Z(3) @ Z(9)) + -1.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(9)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(1)) + -0.25 * (Z(7) @ Z(9)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @... | 15 | 12 | 2 | {"smallest_eigenvalues": [-29.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.49810568043368086) q[0];
ry(-0.025782428064184) q[1];
ry(-0.05143364859656421) q[2];
ry(-0.0646021691668674) q[3];
ry(-0.022213673593317784) q[4];
ry(0.010704141821672404) q[5];
ry(-0.043579394267902055) q[6];
ry(-0.008453765643711352) q[7];
ry(0.03615552937354559... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIZIIIZ",
"IIZIIIIZIIII",
"IIZIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIZIIIIIZIII",
"IIIIIIIZIIZI",
"IIZIIIIIIIZI",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIZIZIIIIIII",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIZIIII",
"IIZZIIIIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIIZI",
"IIIZIIZII... | [
-0.5,
-1.5,
-0.75,
1.5,
-1.25,
-1.25,
-1.25,
-1.5,
-1,
-1.25,
-0.25,
-0.25,
-0.5,
-0.75,
-2,
-1.25,
-1.5,
-1,
-1.25,
-1.5,
-1.25,
-2.25,
-1.25,
-1,
-0.25,
-0.5,
-1.25,
-0.25,
-0.25,
-1.5,
4,
-0.25,
-0.5,
-1.25,
2.5,
-1.5,
-2,
-2.5,
-1.5,
... | 0.970152 | [
0.49810568043368086,
-0.025782428064184,
-0.05143364859656421,
-0.0646021691668674,
-0.022213673593317784,
0.010704141821672404,
-0.043579394267902055,
-0.008453765643711352,
0.036155529373545596,
-0.05218594703756067,
-0.18139448631585348,
-0.06708372909365962,
0.1066448366864993,
0.09567... | {
"n_parameters": 75,
"n_qubits": 12,
"optimal_eigenvalue": -29.75,
"target_ratio": 0.97,
"target_value": -28.857499999999998
} | 55 |
2931eeac6a3d17978d71e9eb6a3fb9d7 | 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}], "edges": [{"... | {"states": [63, 55], "expectation_value": -48.34500292867252, "params": [0.6774, 0.0078000000000000005, 0.7569, 0.0005, 2.7046, 0.0099, 2.6987, 0.0068000000000000005, 1.4912, 0.007500000000000001, 2.7076000000000002, 0.0055000000000000005, 2.694, 0.0022, 2.6972, 0.0057, 0.0045000000000000005, 0.0097, 0.0068000000000000... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(0)) + 10.5 * Z(2) + 1.5 * Z(1) + 15.0 * Z(3) + 1.0 * Z(0) + 7.5 * Z(4) + 6.5 * Z(5) + 13.5 * Z(6) + 8.0 * ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["11001000"], "largest_eigenvalue": 113.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.023045210246654277) q[0];
rz(-0.12868795916793552) q[0];
rx(0.3498610539704398) q[1];
rz(0.0032986824594131575) q[1];
rx(3.0698120588451414) q[2];
rz(0.05913904046960786) q[2];
rx(3.2742195880986813) q[3];
rz(-0.2956296385595668) q[3];
rx(0.256834757732992) 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
1.5,
15,
1,
7.5,
6.5,
13.5,
8
] | 0.976824 | [
-0.023045210246654277,
-0.16811550697079472,
0.3498610539704398,
0.0032986824594131575,
3.0698120588451414,
0.05913904046960786,
3.2742195880986813,
-0.2956296385595668,
0.256834757732992,
0.2689101817784896,
2.7957634581757977,
-0.01610442901886222,
2.9858440409879683,
-0.2085223893202475... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -63.5,
"target_ratio": 0.97,
"target_value": -61.595
} | 12 |
305451fe42c8e99c594080bbfd8c69fa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [3, 35], "expectation_value": -2.8437321462295717, "params": [0.0838, 0.017400000000000002, 0.0683, 0.011600000000000001, 0.2073, -0.0009000000000000001, 0.1985, -0.0012000000000000001, 0.19870000000000002, -0.0025, 0.1962, -0.0022, 0.18460000000000001, 0.0002, 0.17930000000000001, 0.0006000000000000001, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ 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)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) | 6 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011100", "0011011", "0101011", "1110100", "1101100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.027814750980903902) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.49100116922338494) q[2];
cx q[1], q[2];
ry(0.49100116922338494) q[2];
cx q[1], q[2];
ry(1.0170525385572764) q[1];
ry(-0.507254278499343) q[2];
h q[3];
ry(-1.6292136689337038) q[3];
ry(-0.027814750980903... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.997185 | [
-1.6292136689337038,
-1.4831408804065311,
1.3973912449279369,
-0.9820023384467699,
0.7457996991728432,
-0.1196813908149234,
-0.3143214037602649,
0.5425056787688665,
-0.38586574947815633,
0.23658047179334926,
-0.3556877717941279,
0.20936317245557942,
0.15268893975321973,
-0.2140717037190976... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
21c8a0e02357d1dbfa852bca1cebf8a1 | 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": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [121, 89], "expectation_value": -4.06561424709243, "params": [0.7015, 0.0145, 1.0011, -0.010700000000000001, 0.7933, 0.16770000000000002, 1.0008000000000001, -0.0115, 1.0047000000000001, 0.0031000000000000003, 0.0032, -0.49870000000000003, 0.0627, 0.4965, 1.0025, 0.0006000000000000001, 0.7099000000000001, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(4) + -0.5 * Z(3) + 0.... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["10100110", "01100110", "10001110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7795118792937834) q[0];
rz(1.6406197132941536) q[0];
rx(1.4080388341358727) q[1];
rz(1.5471198681820928) q[1];
rx(0.5755883462134748) q[2];
rz(1.6145982722888093) q[2];
rx(1.1961320820020727) q[3];
rz(1.6336940402808846) q[3];
rx(1.3053650537763344) q[4];
rz(1.8276... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IIIZIZII",
"IIZZIIII",
"IIZIZIII",
"IZIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.970199 | [
0.7795118792937834,
0.06982338649925746,
1.4080388341358727,
-0.023676458612803656,
0.5755883462134749,
0.04380194549391314,
1.1961320820020724,
0.06289771348598765,
1.3053650537763346,
0.25680902239054126,
-0.2427547614689966,
-0.7186466229717681,
-0.1605186379284163,
0.7497116720985295,
... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 17 |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | 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": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [30, 15], "expectation_value": -5.999841998650886, "params": [[1.5683, -0.0028, 0.9401, 0.0025, -0.0049], [2.4788, 1.2056, 1.5683, 0.9369000000000001, -0.0026000000000000003], [0.0049, 0.0024000000000000002, 1.5682, -0.0028, 1.5684]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 420, "probab... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 9 | 5 | 3 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08724389564847751) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.011836385549881461) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.047686382723164) q[1];
rx(1.1987979393789188) q[1];
rz(-0.44952800909731894) q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-1.5,
-1.25,
1.75,
-1.75,
-2.75,
1.25,
-0.25,
-0.75,
0,
-0.25
] | 0.891714 | [
-0.08724389564847751,
0.011836385549881461,
-0.44952800909731894,
-0.29147368059620293,
0.7280283660373118,
0.7662136357667987,
-1.047686382723164,
-0.36229933156876115,
-0.0461740530584128,
1.1987979393789185,
0.02516654379014708,
-0.005014422258785183,
-0.30548343106272147,
-1.1670616733... | {
"n_parameters": 19,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
5938953855787911746 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4, 5, 8, 10], [0, 3], [1, 9], [2, 3], [11, 6], [5, 7]]} | {"states": [1303, 3816], "expectation_value": -1.9270997472894456, "params": [[[1.5733000000000001, -0.3184], [1.5741, 1.5737], [-0.0594, 1.5738], [0.8216, 2.3251], [-1.1004, 2.04], [1.1261, 0.9278000000000001], [-1.5914000000000001, 1.5901], [1.5733000000000001, 1.5732000000000002], [1.5682, 0.0826], [1.57300000000000... | 0.05 * (Z(3) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(5)) + 0.05 * (Z(10) @ Z(4)) + 0.05 * (Z(10) @ Z(3)) + 0.05 * (Z(10) @ Z(5)) + 0.05 * (Z(10) @ Z(8)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(11) @ Z(6))... | 15 | 12 | 1 | {"smallest_eigenvalues": [-2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5707962869761736) q[0];
ry(1.5707963557220959) q[1];
ry(-9.421902325059063e-08) q[2];
ry(1.478793139735494e-06) q[3];
ry(-1.5082843222006839) q[4];
ry(1.4976834722411714) q[5];
ry(-1.5707962761492669) q[6];
ry(1.5707962869761736) q[7];
ry(1.570796248436593) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIZIIIZIIII",
"IIIZIIIIZIII",
"IIIZIIZIIIII",
"IZIIIIIZIIII",
"IZIIIIIIZIII",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"IIIIIIIIZIIZ",
"IIZIIIIIIIZI",
"IIIIIIIIZZII",
"ZIIIIZIIIIII",
"IIIIZIZIIIII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIIZII... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.5,
0.5,
0.5,
0.1,
0.09999999999999987,
0.09999999999999998,
0.1,
0.1,
0,
0,
0,
0,
0,
0,
0
] | 0.777778 | [
1.5707962869761736,
1.5707963557220959,
-9.421902325059063e-8,
0.000001478793139735494,
-1.5082843222006839,
1.4976834722411714,
-1.5707962761492669,
1.570796248436593,
1.5707962552200352,
1.5707962956784975,
-0.3533068404849,
1.5707963918491894,
1.5707963633358741,
3.141591178787403,
1.... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -2.7000000000000006,
"target_ratio": 0.97,
"target_value": -2.6190000000000007
} | 411 |
6324445497124301652 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 3, 4, 5, 7, 8], [0, 9, 2, 5], [8, 6], [1, 2, 4, 7, 8, 9, 12], [10, 12], [11, 6]]} | {"states": [3771, 1723], "expectation_value": -2.080274478402219, "params": [[[0.12710000000000002, 0.0067, 0.0044, 0.0029000000000000002], [-0.5972000000000001, 0.0017000000000000001, 0.9752000000000001, 0.0043], [2.9003, 0.0005, 0.0078000000000000005, 0.0047], [0.0026000000000000003, -0.30920000000000003, 1.5683, 0.0... | 0.10714285714285714 * (Z(0) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.047619047619047616 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(3)) + 0.10714285714285714 * (Z(5) @ Z(2)) + 0.10714285714285714 * (Z(5) @ Z(0)) + 0.023809523... | 12 | 13 | 1 | {"smallest_eigenvalues": [-2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, -2.1309523809523814, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.0874108431371281) q[0];
rz(-0.11947323073131712) q[0];
ry(-0.4964436512083338) q[1];
rz(0.1319047716743233) q[1];
cz q[1], q[0];
ry(1.9281193206738891) q[1];
ry(2.9007814749679253) q[2];
rz(0.0690125664694504) q[2];
ry(0.08132916430002438) q[3];
rz(-0.357104051168... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIIZZII",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIZII",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIZIIZII",
"IIIIIIIZIIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIZIIIIZII",
"IIIIIZIIIIIIZ",
"IIIIIZIIIZIII",
"IIIIIZIIZIIII",
"IIIIIZIZIIIII",
"IIIIZIIIIIZII",
"IIIIZIIIIII... | [
0.10714285714285714,
0.023809523809523808,
0.023809523809523808,
0.047619047619047616,
0.023809523809523808,
0.023809523809523808,
0.10714285714285714,
0.10714285714285714,
0.023809523809523808,
0.023809523809523808,
0.047619047619047616,
0.023809523809523808,
0.023809523809523808,
0.04761... | 0.977254 | [
0.0874108431371281,
-0.11947323073131712,
-0.4964436512083338,
0.1319047716743233,
2.9007814749679253,
0.0690125664694504,
0.08132916430002438,
-0.3571040511686574,
-0.06986908864994897,
0.0558503237587874,
0.7334269365021843,
0.030383066428767806,
0.0881441918626894,
-0.1172590729250608,
... | {
"n_parameters": 35,
"n_qubits": 13,
"optimal_eigenvalue": -2.1309523809523814,
"target_ratio": 0.97,
"target_value": -2.06702380952381
} | 1 |
cee21d2c524e6fc138e70d6d9e27345e | 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": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [250, 239], "expectation_value": -12.024010549435326, "params": null, "bitstrings": ["100000101", "100010000"], "total_optimization_steps": 100, "probabilities": [0.14247663162315644, 0.539232571404101], "optimization_time": 307.3117787837982} | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"], "largest_eigenvalue": 55.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.08561040186494705) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08561040186494705) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.13032020170893938) q[0];
cx q[2], q[0];
rz(-0.13032020170893938) q[3];
cx q[1], ... | null | {"source": 0, "sink": 4} | {"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(0.4397) 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] = m... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-1,
-1,
-1,
1,
-3,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
1.5,
3,
5,
2.5,
2.5,
0,
1.5,
1.5,
-0.5,
-1,
-1.5
] | 0.69852 | [
-0.08561040186494705,
-0.13032020170893938,
-0.09293795236063519,
-0.1836712523285487,
0.1609684499092548,
-0.012457635001121998,
-0.0033797729801731662,
0.12930263904239359,
-0.05240497445492781,
-1.5648064933444994,
-1.5025379725146595,
-1.0821352790424412,
1.4484250023356933,
0.98938625... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 296 |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 56], "expectation_value": -0.13171734349695324, "params": [[-0.07100000000000001], [0.0679]], "bitstrings": ["100110", "000111"], "total_optimization_steps": 10, "probabilities": [0.017163964947242025, 0.017446266662686595], "optimization_time": 1.5118529796600342} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "100110"], "largest_eigenvalue": 7.5} | 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];... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
0
] | 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 |
833c89e8aca800e5707fb47ea63f9088 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [43, 46], "expectation_value": -3.499883694175416, "params": null, "bitstrings": ["010100", "010001"], "total_optimization_steps": 23, "probabilities": [1.6349291399876233e-05, 0.9999151802438232], "optimization_time": 16.548574447631836} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
0,
0
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
87ba346715d7ffd469182fcb7e9830c2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [19, 17], "expectation_value": -16.023942414274988, "params": null, "bitstrings": ["1101100", "1101110"], "total_optimization_steps": 38, "probabilities": [0.42315890257289124, 0.5338802164598142], "optimization_time": 38.37204575538635} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101100", "1101110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2424713024680878) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.09609449461972433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07103718221836942) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.2424713024680878) q[4];
cx ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2796) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-1.25,
-0.5,
-1,
-0.5,
2.25,
-1.75,
-2.5,
-1.75,
-1.5,
-2.75,
-0.25,
4,
1.75,
0.5,
-1.75,
-1.5
] | 0.970277 | [
-0.2424713024680878,
-0.09609449461972433,
-0.07103718221836942,
0.24484176276753844,
-0.5846079027452293,
-0.03545717743987341,
-0.13831910799219202,
-0.24427600165074528,
-0.4294993140104167,
0.03986173338969032,
-0.32853968363508496,
0.40842551468782123,
-0.9636115791438007,
0.066113856... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 83 |
2cf6224a7b786ab8607e7cc5dbc62158 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -0.24571092500062516, "params": [[0.0632], [-0.050800000000000005]], "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 10, "probabilities": [0.009310774268311183, 0.009465756989631724], "optimization_time": 1.444387435913086} | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06830128417282086) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.011585934974251182) q[3];
cx q[2], q[3];
rz(-0.6633598662099609) q[2];
rx(-1.3300415243216537) q[2];
cx q[3], q[1];
rz(-0.30274825969433) q[1];
cx q[3], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.75,
-0.25,
-1.25,
2,
-0.5,
-1,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
0.5,
1
] | 0.970349 | [
-0.06830128417282086,
-0.6633598662099606,
0.011585934974251182,
-0.30274825969433,
0.03219304338927346,
-0.1354849027968686,
0.8613712349684953,
0.42174121241001783,
-1.330041524321654,
-0.2214808877154617,
-0.993722562477752,
0.18392254142999373,
-0.9256007528868808,
0.1552563526822461,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 210 |
b2987b745cb916df3f5a63553d1bb231 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [1496, 1492], "expectation_value": -7.560505119197617, "params": [-0.6716000000000001, -0.467, 0.4772, 0.47200000000000003, 0.6879000000000001, 0.6946, 0.6853, 0.6920000000000001, 0.6853, 0.6880000000000001, 0.4189, 0.35100000000000003, 0.6953, 0.6894, 0.6843, 0.5743, 0.406, 0.4035, -0.005200000000000001, -0... | 1.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2... | 14 | 11 | 2 | {"smallest_eigenvalues": [-8.666666666666668, -8.666666666666668, -8.666666666666668, -8.666666666666668], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["01000100111", "01000101011", "10000101011", "10000100111"], "largest_eigenvalue": 22.333333333333332} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.42489732038415) q[0];
h q[1];
cx q[1], q[0];
ry(0.42489732038415) q[0];
cx q[1], q[0];
ry(-0.181574895014258) q[0];
ry(0.22365458351727543) q[1];
h q[2];
h q[3];
ry(1.5129755350558685) q[3];
h q[4];
ry(1.5129755350558685) q[4];
h q[5];
ry(-0.6828907176516... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"IIIIIIIIIZZ",
"ZIIIZIIIIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IIZZIIIIIII",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIIZIIZII",
"IZIIIIZIIII",
"IZIIIIIZIII",
"IZIIIZIIIII",
"IZIIZIIII... | [
1,
0.5,
0.5,
-0.5,
-0.5,
0.33333333333333337,
-1,
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,
2.5,
2.5,
1,
0.16666666666666674,
0.16666666666666674,
1.5,
-1.5,
1,
1,
1.3333333333333335,
-1
] | 0.975182 | [
1.5129755350558685,
1.2940641662349193,
-1.4434681259045128,
-1.365781435303222,
-1.0381781223982296,
-0.9460806634509542,
-1.3563210276497097,
0.4232448186560208,
-0.8497946407683,
0.6077418778647552,
-0.5785294489967114,
0.7760594618815354,
-0.017943551017564507,
-0.363149790028516,
-0... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -8.666666666666668,
"target_ratio": 0.97,
"target_value": -8.406666666666668
} | 1 |
5575b19e97d5a5b0b45755000e82f544 | 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}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [374, 119], "expectation_value": -13.414262415723794, "params": null, "bitstrings": ["010001001", "110001000"], "total_optimization_steps": 89, "probabilities": [0.1463946274555705, 0.8073519033383842], "optimization_time": 155.32616567611694} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["110001100", "110001000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.560634012014881) q[0];
h q[1];
ry(-1.7818099631713982) q[1];
h q[2];
ry(1.587798887121975) q[2];
h q[3];
ry(0.7777315728674038) q[3];
h q[4];
ry(1.5554631457348076) q[4];
cx q[4], q[3];
ry(-0.7777315728674038) q[3];
cx q[4], q[3];
h q[5];
ry(-1.78180996317... | null | {"source": 0, "sink": 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(-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] = ... | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"IIZIIZIII",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZZII",
"IIIIZIIZI",
"IZIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.75,
-1,
-0.75,
-1,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
1.5,
-0.5,
-1,
-0.75,
-1.25,
-0.25,
0.5,
-2.75,
0,
1,
1.5,
2,
-0.75
] | 0.971696 | [
-1.7818099631713982,
1.5554631457348076,
-1.121268024029762,
0.9931676756380406,
-0.755965766479885,
1.587798887121975,
1.683067034217062,
0.4404709774126895,
-0.17300126679497613,
0.20768426428671805,
0.6997905193865639,
0.4719656890649042,
-0.055505934170919854,
0.17107727775494777,
-0... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 5 |
9b6c90aee56ab84919f7c826e678a024 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [23475, 14190], "expectation_value": -5.411584654589504, "params": [[-0.28700000000000003], [0.2778]], "bitstrings": ["010010001001100", "100100010010001"], "total_optimization_steps": 30, "probabilities": [0.0005380242603444183, 0.0005380242603444183], "optimization_time": 544.1017532348633} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 9 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999982], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999927, "smallest_bitstrings": ["100100010010001"], "largest_eigenvalue": 28.500000000000146} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIIIIZIIZIII",
"IIIIIIIZIIZIIII",
"IIIIIIIIIIZZIII",
"IIIIIIZIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.5,
1.5,
... | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
685055bd53f01c347f7f2a1d5c7df105 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, ... | {"states": [85, 101], "expectation_value": -0.1025831379963273, "params": [[-0.06420000000000001], [0.06520000000000001]], "bitstrings": ["0101010", "0011010"], "total_optimization_steps": 10, "probabilities": [0.008673077047012652, 0.008673077047012655], "optimization_time": 1.284153699874878} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(5) + 0.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101010", "0011010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4797837349974001) q[0];
h q[1];
ry(-0.4594080077714834) q[1];
h q[2];
cx q[2], q[1];
ry(0.4594080077714834) q[1];
cx q[2], q[1];
ry(-0.5285091559094166) q[1];
ry(1.0501560861052301) q[2];
cx q[0], q[2];
ry(-0.3025437017855025) q[2];
cx q[0], q[2];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"ZZIIIII",
"ZIIZIII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.997373 | [
-1.5405747286543274,
1.4797837349974001,
-0.9188160155429668,
0.7476123843197278,
-0.26430076643161604,
0.605087403571005,
-0.5284167789556011,
0.3929290780401221,
-0.17663854259786047,
0.19831948416073308,
0.08498676328191558,
0.02449914135155666,
-0.004685982379966258,
-0.210952603139486... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
833c89e8aca800e5707fb47ea63f9088 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [28, 46], "expectation_value": -0.5829121568546798, "params": [[0.057300000000000004, 0.064, 0.07200000000000001, 0.08070000000000001], [-0.029, -0.048600000000000004, -0.058600000000000006, -0.0717]], "bitstrings": ["100011", "010001"], "total_optimization_steps": 10, "probabilities": [0.02712945026395538, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) 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] 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
0,
0
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
d2601bbf36e7658df88520110518167a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [47087, 47085], "expectation_value": -15.07321496200757, "params": [1.5703, 1.5661, -0.002, -0.002, -1.5699, -1.5914000000000001, 1.5704, 1.5663, 0.0024000000000000002, 0.0024000000000000002, 1.5758, 1.5704, 1.5697, 1.5679, 1.5772000000000002, 1.5693000000000001, 1.5738, 1.5731000000000002, 1.577300000000000... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 13 | 16 | 1 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"], "largest_eigenvalue": 56.00000000000012} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(1.6170527242996016) q[0];
h q[1];
ry(0.7805138677541621) q[1];
h q[2];
h q[3];
ry(-0.4322759362401726) q[3];
h q[4];
h q[5];
ry(1.6170527242996016) q[5];
h q[6];
ry(0.7805138677541621) q[6];
cx q[0], q[6];
ry(-0.7805138677541621) q[6];
cx q[0], q[6];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"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,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970924 | [
1.6170527242996016,
1.5610277355083242,
-0.679222417946599,
1.0685797201107086,
-0.7139150329584052,
1.2551773451408712,
-0.8645518724803452,
1.1591405251708378,
-1.2079243771877828,
0.5130784379949134,
-0.5721670552309985,
0.3166512198214887,
-0.5898526595454422,
0.3774141208097306,
-0.... | {
"n_parameters": 46,
"n_qubits": 16,
"optimal_eigenvalue": -15.99999999999997,
"target_ratio": 0.97,
"target_value": -15.519999999999971
} | 6 |
9b4be5d748a292e481722f1ef8f75020 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [45, 13], "expectation_value": -4.114142870367838, "params": [[-0.1231, -0.0891, -0.09860000000000001, -0.059800000000000006], [0.169, 0.139, 0.1421, 0.1051]], "bitstrings": ["11010010", "11110010"], "total_optimization_steps": 20, "probabilities": [0.02791129211215112, 0.04455750542833917], "optimization_ti... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14463547101575489) q[0];
rz(-0.9013886526061183) q[0];
rx(0.14200284685399922) q[1];
rz(0.6212693590588447) q[1];
rx(-0.14471618748001755) q[2];
rz(0.4407728646085142) q[2];
rx(-0.14471618748001755) q[3];
rz(-0.9525842351766118) q[3];
rx(1.8131142699027647) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZII... | [
-0.5,
-0.5,
0.4,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
1,
-0.2,
2,
-1.7000000000000002,
-1.7000000000000002,
1.5,
3,
1.5,
-0.6000000000000001,
-0.30000000000000004
] | 0.972151 | [
0.1446354710157549,
-0.737814615895959,
0.14200284685399922,
0.6212693590588447,
-0.14471618748001755,
0.4407728646085142,
-0.9525842351766118,
1.8131142699027647,
0.16895032385674386,
0.13369873663334575,
0.20067474335624766,
1.5954489610039433,
0.23189398635567227,
0.7353956036851526,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -6.6000000000000005,
"target_ratio": 0.97,
"target_value": -6.402
} | 16 |
-5028302506184273319 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [0, 5], [1, 2], [1, 3], [4, 5]]} | {"states": [100, 93], "expectation_value": -2.15908664148054, "params": null, "bitstrings": ["0011011", "0100010"], "total_optimization_steps": 46, "probabilities": [0.05013694831055299, 0.6966268409084692], "optimization_time": 45.231693267822266} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0100010", "1011101", "1100100", "0011011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.3407915092284132) q[1];
h q[2];
ry(0.749810144613222) q[2];
h q[3];
h q[4];
h q[5];
ry(-0.3407915092284132) q[5];
cx q[4], q[5];
ry(0.3407915092284132) q[5];
cx q[4], q[5];
ry(-0.20167261784992033) q[5];
cx q[0], q[5];
ry(0.20167261784992033) q[5];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"ZIIIIZI",
"IZIIIIZ",
"IIIIZZI",
"IIIZIZI",
"IZZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.974039 | [
-0.6815830184568265,
1.4366978879368508,
-0.40334523569984065,
1.578932612010121,
1.499620289226444,
-1.0082943921504697,
-0.0069368455281898535,
0.25365287154409344,
-0.5889200410642862,
0.44967598811623644,
0.04218943228573873,
0.14810134273605036,
0.5311230217007382,
-0.6125648683229806... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 27 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [85, 117], "expectation_value": -3.507516404234888, "params": [0.0027, 0.0037, 0.034300000000000004, 0.0375, 0.5334, 0.5354, 0.33280000000000004, 0.3284, 0.5302, 0.5219, 0.0061, 0.0022, 0.5236000000000001, 0.526, 0.031200000000000002, 0.0308, 0.5288, 0.5259, -0.0, 0.0033, 0.035500000000000004, 0.0409, 0.5307... | 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)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(1) @ Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(8) @ Z(0)) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.8125, "smallest_bitstrings": ["101001010", "110001010", "110001001", "100101010", "110101000", "100101100"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIZZZI",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZZIIIIII",
"IZZIIIIZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIZIZIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIZIZIZ",
"IIZIIIZIZ",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0... | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [45, 41], "expectation_value": -4.531069002929013, "params": [0.3017, 0.30660000000000004, 0.0025, 0.0059, 0.3052, 0.3055, 0.0993, 0.1039, 0.0035, 0.0028, 0.2967, 0.2904, 0.3007, 0.3043, 0.00030000000000000003, 0.0039000000000000003, 0.3025, 0.29960000000000003, 0.0974, 0.10010000000000001, 0.004200000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 14 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010110", "010011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-0.5,
-1,
-1
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.