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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ab38e7699e076f39debd51236acd2336 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [32, 31], "expectation_value": -0.2590701097393681, "params": [[-0.0478, 0.0675], [0.0727, -0.0415]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.01798680410233612, 0.018426690802695288], "optimization_time": 2.034536600112915} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.7953384840481424e-08) q[0];
h q[0];
rx(-4.752371779122262e-08) q[1];
h q[1];
rx(1.7896803644321402) q[2];
h q[2];
rx(1.0850151974205464) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-0.5,
-1.25,
-0.25,
-0.75,
-0.75,
0.75,
-1.25,
-0.25,
1,
-0.25,
-1.5,
0.75,
0.75,
-0.75
] | 0.333333 | [
1.7953384840481424e-8,
-4.752371779122262e-8,
1.7896803644321402,
1.0850151974205464,
-5.648034782545892e-8,
1.8402525196265138e-8,
-0.5321727826909078,
0.15155709060402683,
0.3534217240299965,
1.4110817758126415,
1.429681773746566,
1.053028979848131,
0.5840799006992541,
1.3143299830258015... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 325 |
b03062475f1287ad31bf0aaec748b841 | 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": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [0, 963], "expectation_value": -20.149973189682328, "params": [0.43260000000000004, 0.9098, 0.3272, 1.6416000000000002, -0.4515, 0.5101, -0.3648, 0.5515, -0.47800000000000004, 0.6416000000000001, -0.2742, 0.36920000000000003, -0.3206, 0.5887, -0.4011, 0.36660000000000004, -0.00030000000000000003, 1.0125, -0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + -2.0 *... | 6 | 10 | 4 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000111100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.8533030903316493) q[0];
rz(2.0531308600922245) q[0];
rx(0.35621584720791755) q[1];
rz(1.974764623428082) q[1];
rx(1.735087997260482) q[2];
rz(3.0493011326905908) q[2];
rx(0.6571776399995019) q[3];
rz(2.6805543511212413) q[3];
rx(0.10578863356944496) q[4];
rz(2.172... | 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
-1.5,
-1.5,
-1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-2,
1.5,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.97057 | [
0.8533030903316492,
0.48233453329732806,
0.35621584720791755,
0.40396829663318534,
1.7350879972604822,
1.4785048058956942,
0.6571776399995019,
1.1097580243263452,
0.10578863356944494,
0.6016269032756117,
-0.04631051449482683,
-0.1198304868911331,
0.04511545154645174,
0.24081034919981864,
... | {
"n_parameters": 143,
"n_qubits": 10,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 385 |
55017fd2529a46ddcc12cdfc2413d374 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [670, 662], "expectation_value": -61.483806835993555, "params": [1.2029, 0.31620000000000004, 0.5412, 0.5348, 1.1993, 0.007200000000000001, 0.002, -0.6775, 0.0014, -0.6419, 1.2001000000000002, 0.5169, 0.8177000000000001, 0.4339, 1.2067, 0.0322, 1.2054, 0.1626, 0.5712, 0.3593, 1.2038, 0.0055000000000000005, 0... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(3) @ Z(7)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(4) @ Z(8)) + 13.5 * Z(0) + 12.5 * Z(2) + 1.5 * Z(1) + 5.0 * Z(6) + 6.0 * Z(5) + 12.5 * Z(7)... | 18 | 10 | 2 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["0101101001"], "largest_eigenvalue": 131.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.7467751821742201) q[0];
rz(0.19851718031795773) q[0];
rx(0.11164360139823096) q[1];
rz(0.6663960033994436) q[1];
rx(1.6252196054252457) q[2];
rz(-0.16985211590188487) q[2];
rx(-0.13845875938222227) q[3];
rz(-0.5093160182522876) q[3];
rx(0.06605294883855967) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIZIIIZII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIIIIZIII",
"ZIIIIIIIII",
"IZIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
13.5,
12.5,
1.5,
5,
6,
12.5,
-4.5,
2,
15.5,
-4.5
] | 0.977825 | [
1.74677518217422,
0.41131704597136975,
0.11164360139823096,
0.6663960033994436,
1.6252196054252457,
-0.16985211590188487,
-0.13845875938222227,
-0.5093160182522876,
0.06605294883855967,
-0.34747580799693656,
1.9577289869915908,
0.46790795597360935,
0.49123446230499623,
0.23770498280669833,... | {
"n_parameters": 57,
"n_qubits": 10,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 26 |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [32, 1], "expectation_value": -7.32017922913753, "params": [[0.0558], [-0.062]], "bitstrings": ["011111", "111110"], "total_optimization_steps": 10, "probabilities": [0.02202575424912908, 0.022734523219069623], "optimization_time": 2.1975207328796387} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 16 | 6 | 1 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) q[4]... | 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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
2.75,
-13,
-13,
-13.25,
-13,
-13.25,
-12.5
] | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
f5425e2e35a80eeacf86e80dfa7804fe | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [321, 337], "expectation_value": -5.772023640736612, "params": [0.3039, 0.3017, 0.0083, 0.0014, 0.3045, 0.301, 0.1348, 0.1374, 0.2706, 0.2684, -0.0004, -0.0032, 0.0008, -0.0016, 0.0025, -0.0028, 0.30210000000000004, 0.30410000000000004, 0.3048, 0.302, 0.0023, 0.0048000000000000004, 0.3045, 0.2998, 0.135, 0.1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * Z(1) ... | 13 | 9 | 4 | {"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": ["010101110", "110010110", "010011011", "100101110", "010011110", "110100110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3841625574030899) q[0];
rz(0.17799707375024937) q[0];
ry(-0.0884571952900291) q[1];
ry(0.3381874501539467) q[2];
ry(0.09472343386429684) q[3];
ry(0.1267464158736919) q[4];
ry(-0.052266263904949636) q[5];
ry(0.08936628605847097) q[6];
ry(-0.08822914009463442) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IZIZIIIII",
"IIIIIZIZI",
"IIZIIIIZI",
"IIZZIIIII",
"IZZIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIZZIII",
"IIZIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIZIII",
"IIZIIIIII",
"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,
-1.5,
-1,
-1.5,
-2,
-0.5,
-2,
0,
-1,
0
] | 0.971017 | [
0.3841625574030899,
-0.0884571952900291,
0.3381874501539467,
0.09472343386429684,
0.1267464158736919,
-0.052266263904949636,
0.08936628605847097,
-0.08822914009463442,
0.2487516330359318,
0.35599414750049874,
-0.3773568771060208,
0.20726329506685784,
-0.1591388545896222,
0.1488341617978414... | {
"n_parameters": 131,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
c502b67eb6d91d909ba398fa39bec60c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 4}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}, {"source": 4, "target": 3}]} | {"states": [22255, 22254], "expectation_value": -6.738056462977296, "params": [[[1.348, 0.0035], [0.47500000000000003, -0.6748000000000001], [1.5753000000000001, -0.0012000000000000001], [0.4562, 0.6807000000000001], [1.5756000000000001, 0.0017000000000000001], [1.5106000000000002, -0.0015], [0.47090000000000004, 0.671... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.25 * (Z(3) @ Z(12)) + 0.25 * (Z(4) @ Z(13)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(14)) + 0.5 * (Z(5) @ Z(... | 1 | 15 | 2 | {"smallest_eigenvalues": [-8.000000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999967, "smallest_bitstrings": ["010100100010001"], "largest_eigenvalue": 24.00000000000006} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIZIIIIIIIIIIIZ",
"IZIIIIIIIIIIIZI",
"IZZIIIIIIIIIIII",
"ZIIIIIIIIIIIZII",
"ZIZIIIIIIIIIIII",
"ZZIIIIIIIIIIIII",
"IIZIIIIIIIIZIII",
"IZIIIIIIIIZIIII",
"IIIIIIIIIIZZIII",
"ZIIIIIIIIZIIIII",
"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,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
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0.75,
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1.5,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
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0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
199bc20adfdca6d6b6a06391ec8e4ac2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [99, 75], "expectation_value": -3.7906260986707565, "params": null, "bitstrings": ["0011100", "0110100"], "total_optimization_steps": 48, "probabilities": [0.047690833434271065, 0.8614512857581781], "optimization_time": 49.231689453125} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4523877721739808) q[0];
cx q[2], q[0];
rz(-0.5386799338415806) q[0];
rx(1.0935187697481359) q[0];
h q[3];
cx q[2], q[3];
rz(-0.4523877721739808) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.4523877721739808) q[1];
cx q[3], 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(-1.5681) 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];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"ZIZIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.677103 | [
-0.4523877721739808,
1.116287236063286,
-0.5386799338415805,
0.23783543840422666,
1.093518769748136,
-1.0373413032551704,
0.8730239505219086,
0.5760838156648229,
0.5260612418381394
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
490e84bab6ba74006dbbf5a0480fd8ae | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [69, 581], "expectation_value": -8.021195204432395, "params": [[[1.5833000000000002, 0.0037], [0.0019, 0.0061], [0.0031000000000000003, 0.0023], [2.4131, 0.0024000000000000002], [0.0025, 0.006200000000000001], [0.3924, 0.0094], [0.0014, 0.0011], [2.4011, 0.0001], [0.002, 0.0078000000000000005], [2.31, 0.0065... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["0110011011", "0110111010", "1110100011"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.631176124940351) q[0];
rz(-0.19329274077546274) q[0];
rx(-0.02351133987916862) q[1];
rz(0.09075266602740308) q[1];
rx(-0.06292248370795904) q[2];
rz(-0.07833583525789986) q[2];
rx(2.966393892838994) q[3];
rz(-0.02567827372732111) q[3];
rx(-0.28753776380507595) 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": []} | [
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIIIZIIZI",
"IZIZIIIIII",
"IZIIIIIIZI",
"IZIIIIZIII",
"IZIIIZIIII",
"ZIIIZIIIII",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIZIIIIZII"... | [
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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,
-1.5,
-1,
-1,
-2.5,
-2,
-0.5,
-2.5,
-2,
-2,
0
] | 0.972101 | [
2.631176124940351,
-0.19329274077546274,
-0.02351133987916862,
0.09075266602740308,
-0.06292248370795904,
-0.07833583525789986,
2.966393892838994,
-0.02567827372732111,
-0.28753776380507595,
0.41440876764994294,
0.03270088296634184,
0.01242543514853156,
0.0585398918546806,
0.26877449476968... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 10 |
26d7f56e59bfdf48052023802b40605b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [13, 5], "expectation_value": -1.6209516218300388, "params": [[[0.0037, 0.4036], [0.5162, 0.0488], [0.5449, 0.010700000000000001], [0.0006000000000000001, 0.46630000000000005], [0.6028, -0.0038]], [[0.0008, 0.2898], [0.5134000000000001, 0.0488], [0.5455, 0.010700000000000001], [0.0049, 0.37420000000000003], ... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "10110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIZZI",
"IIIZZ",
"ZIIIZ",
"ZIIZI",
"ZIIZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
0
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
-375593607637316818 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 4, 7], [1, 4], [3, 4, 6], [1, 2, 3, 5, 7], [2, 4, 5], [0, 1], [0, 6]]} | {"states": [93, 157], "expectation_value": -2.3098955183671244, "params": null, "bitstrings": ["10100010", "01100010"], "total_optimization_steps": 55, "probabilities": [0.06162696921223979, 0.8254415419042217], "optimization_time": 81.30397439002991} | 0.05 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.1 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666667, "smallest_bitstrings": ["01100010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.18637206951322677) q[1];
cx q[0], q[1];
ry(0.18637206951322677) q[1];
cx q[0], q[1];
ry(1.3343058544780666) q[0];
ry(-0.4781873493592053) q[1];
h q[2];
ry(-0.14214448660417175) q[2];
ry(-2.8334645714809223) q[3];
rz(-pi) q[3];
h q[4];
ry(1.51922478... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3804) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"ZIZIIIII",
"IIZIIIZ... | [
0.05,
0.1,
0.05,
0.21666666666666667,
0.05,
0.21666666666666667,
0.1,
0.05,
0.1,
0.05,
0.05,
0.5,
0.05,
0.5,
0.05,
0.5,
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.05,
0.16666666666666666,
0.05,
0.05,
0.3666666666666667,
0.09999999999999987,
0.3... | 0.977425 | [
1.5192247898869722,
-0.37274413902645354,
1.3343058544780666,
-0.9563746987184106,
-1.3639506225842488,
0.2549292570643341,
1.1480147761127266,
-0.10546516125410833,
0.22930693714659825,
-0.39910123392891395,
-0.014444094153876402,
0.7087723490782184,
-0.2842889732083435,
0.549080178712673... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -2.5666666666666673,
"target_ratio": 0.97,
"target_value": -2.4896666666666674
} | 19 |
-5724489248087678332 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 5, 6], [0, 2, 3, 6, 7, 8], [1, 2, 3, 5], [8, 4, 6], [0, 4], [8, 3, 4, 5], [8, 1, 5, 7], [1, 3, 4, 5, 7]]} | {"states": [189, 429], "expectation_value": -2.1728541468839064, "params": null, "bitstrings": ["101000010", "001010010"], "total_optimization_steps": 55, "probabilities": [0.05401997629065904, 0.9034752050337909], "optimization_time": 130.19161009788513} | 0.11666666666666667 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(8)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.2833333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(8)) + 0.03333333333333333 * (Z(0) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.233333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.15, "smallest_bitstrings": ["001010010"], "largest_eigenvalue": 7.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(-0.0479750131574765) q[8];
cx q[2], q[8];
cx q[2], q[5];
rz(-0.24417982723171738) q[5];
cx q[2], q[5];
cx q[2], q[6];
rz(-0.0479750131574765) q[6];
cx q[2], q[6];
cx q[2], q[0];
rz... | 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(1.5158) 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... | [
"ZIIIIIZII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"IIIIIZZII",
"ZIIIIZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIIZ",
"IZIIIIZII",
"ZZIIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIIZIII",
"IIIIIIZZI",
"... | [
0.11666666666666667,
0.16666666666666666,
0.25,
0.11666666666666667,
0.2833333333333333,
0.08333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.11666666666666667,
0.11666666666666667,
0.21666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333... | 0.771524 | [
-0.0479750131574765,
-0.24417982723171738,
-0.15282359047878558,
-0.24647394509298706,
-0.0427369932817936,
0.11197880891359245,
-0.4626038341199591,
-0.0625376650758735,
-1.5172211388297303,
-0.055511356286304485,
-1.4384034732037074,
-1.2925165255174285,
1.0552129535577062,
-0.6295912679... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -2.233333333333333,
"target_ratio": 0.97,
"target_value": -2.1663333333333328
} | 456 |
ee68f24dce039a4cba3f3c3df952f527 | 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": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [8, 27], "expectation_value": -2.291495606100743, "params": null, "bitstrings": ["110111", "100100"], "total_optimization_steps": 26, "probabilities": [0.07744130134523922, 0.6711829431980799], "optimization_time": 16.471426725387573} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100100", "100000"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(1.7187054369255659) q[0];
cx q[5], q[0];
rz(0.09446777047799948) q[0];
rx(-1.466700987803215) q[0];
cx q[5], q[4];
rz(0.01333934725850041) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.01333934725850041) q[1];... | 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(1.5158) q[4], 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 \... | [
"ZIIIIZ",
"ZZIIII",
"IZIIZI",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
0.5,
0.25,
-0.25
] | 0.744299 | [
1.7187054369255659,
0.01333934725850041,
0.09446777047799972,
-1.1516700085688871,
1.5731593475807684,
-1.4667009878032147
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 189 |
0f265d41f16664956431af1416624534 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [43349, 43605], "expectation_value": -1.7065576404423783, "params": [[1.4367, 0.1983, 1.5876000000000001, 0.2, 1.566, 0.24020000000000002, 1.6683000000000001, 1.5446, 0.21050000000000002, 1.5837, 0.1776, 1.5738, 0.1834, 1.6189, 0.21350000000000002, 0.2371], [1.689, 0.21430000000000002, 1.5672000000000001, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.000981404958677686 * (Z(2) @ Z(0)) + -0.000981404958677686 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0001549586776859504 * (Z(4) @ Z(0)) + -0.0006714876033057851 * (Z(4) @ Z(2)) + 0.0001549586776859504 * (Z(5) @ Z(1)) + -0.0006714876033057851 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001549... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0191115702478917], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0191115702478433, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0153925619834534} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5699367347206497) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.04275221586101138) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.04275221586101138) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.5699367347206497) q[3];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.000981404958677686,
-0.000981404958677686,
0.25,
0.0001549586776859504,
-0.0006714876033057851,
0.0001549586776859504,
-0.0006714876033057851,
0.25,
0.0001549586776859504,
-0.0006714876033057851,
-0.0006714876033057851,
0.0001549586776859504,
-0.0006714876033057851,
-0.000671487... | 0.976667 | [
-1.5699367347206497,
-0.04275221586101138,
0.07402687704913598,
-0.05185239708943838,
0.01828171902982982,
0.7853878142698923
] | {
"n_parameters": 6,
"n_qubits": 16,
"optimal_eigenvalue": -2.019111570247904,
"target_ratio": 0.97,
"target_value": -1.9585382231404669
} | 25 |
0d4975981166b2874d2e3fb8df49ba97 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [246, 214], "expectation_value": -28.83228262326664, "params": [[-0.0456, 0.0001, 0.0039000000000000003, 0.0086], [0.07250000000000001, 0.06770000000000001, 0.0651, 0.0582]], "bitstrings": ["100001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.014230168910184297, 0.019623117231334575... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 1 | 9 | 4 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.162757405416695) q[0];
ry(-2.0563557565526267) q[1];
rz(-pi) q[1];
h q[2];
ry(64.29142043296271) q[2];
cx q[2], q[1];
ry(0.09694622257236636) q[1];
cx q[2], q[1];
ry(9.39298353706952) q[2];
cx q[1], q[2];
ry(-9.39298353706952) q[2];
cx q[1], q[2];
ry(0.173... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14,
0.5,
18.5,
13.5,
7.5,
5,
7.5,
2.5,
7
] | 0.970603 | [
0.0532888134221188,
63.41435872412596,
64.29142043296271,
1.8613625272880303,
-0.19389244514473272,
18.78596707413904,
1.3280109631111439,
0.34751548818583144,
-0.22022091549443135,
-3.3690305503862925,
-0.10375331964482451,
-0.007905693228739755,
-0.2950197673207729,
0.8827595868957637,
... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 113 |
27f91ac61eafc4edd382d0960965a450 | 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": [335, 327], "expectation_value": -48.53605277931305, "params": [2.4078, 0.0036000000000000003, -0.0018000000000000002, 0.0038, 2.4015, 0.0026000000000000003, 1.2151, 0.0068000000000000005, 1.0998, 0.005200000000000001, 1.5645, 0.0016, 2.3917, 0.0097, 2.3912, 0.0018000000000000002, 2.4042000000000003, 0.0008,... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 15.5 * Z(0) + -5.0 * Z(1) + 14.0 * Z(2) + 3.0 * Z(3) + 2.0 * Z(4) + 5.0 * Z(5) + 8.0 * Z(6) + 9.5 * ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.932394573638247) q[0];
rz(-0.0034764364399242353) q[0];
rx(-0.07588824216408833) q[1];
rz(0.3539123064793494) q[1];
rx(0.8804423519945331) q[2];
rz(0.3224128446518846) q[2];
rx(-0.14303876022088258) q[3];
rz(0.20551149347291547) q[3];
rx(0.028236981730654854) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
15.5,
-5,
14,
3,
2,
5,
8,
9.5,
12
] | 0.981902 | [
0.9323945736382468,
0.044347000981592735,
-0.07588824216408833,
0.3539123064793494,
0.8804423519945331,
0.3224128446518846,
-0.14303876022088258,
0.20551149347291547,
0.028236981730654854,
0.3538010297810163,
0.3038228628994717,
0.2676103219705503,
0.9630563697736582,
0.09430235729779138,
... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 12 |
16391f63be9d7027ac20d9df30324c5e | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [289, 291], "expectation_value": -4.127693856221908, "params": [0.5083, 0.49970000000000003, 0.0066, -0.0018000000000000002, 0.37620000000000003, 0.3748, 0.5049, 0.5033, 0.07730000000000001, 0.0756, 0.0376, 0.0407, 0.0006000000000000001, -0.0012000000000000001, 0.3997, 0.39980000000000004, 0.5002, 0.499, 0.5... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.5 * Z(6) + -1.5 * Z(1) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["111010100", "010011110", "010101110", "110010110", "011011100", "011101100"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.6504342552410577) q[0];
rz(-0.08983050682420636) q[0];
ry(0.08021591419030315) q[1];
ry(1.1351893897911092) q[2];
ry(0.9544381604757761) q[3];
ry(0.3078571313978722) q[4];
ry(0.3916153765091869) q[5];
ry(-0.06823995259630825) q[6];
ry(0.050124888303960606) 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": []} | [
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IZIIIIIZI",
"IZIIIIZII",
"ZIZIIIIII",
"ZIIIIIIZI",
"IIZIIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.976337 | [
0.6504342552410577,
0.08021591419030315,
1.1351893897911092,
0.9544381604757761,
0.3078571313978722,
0.3916153765091869,
-0.06823995259630825,
0.050124888303960606,
0.7722045473592446,
-0.17966101364841272,
-0.09037084224308645,
0.296427555428132,
0.23846364770980244,
-0.1731686065197724,
... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 21 |
a3571c19d72a014065614d323aff3379 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [52, 7], "expectation_value": -0.28900066368049737, "params": [[0.0222], [-0.0303]], "bitstrings": ["001011", "111000"], "total_optimization_steps": 10, "probabilities": [0.016178592971205247, 0.016199893565082356], "optimization_time": 2.8049685955047607} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
c... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.5,
-1,
-0.25,
-0.25,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
444b62b2304e1a19fde52e526911bdcb | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 12], "expectation_value": -0.8475103500649026, "params": [[0.0656, 0.0728, 0.0584], [-0.043500000000000004, -0.06280000000000001, -0.0531]], "bitstrings": ["111100", "110011"], "total_optimization_steps": 10, "probabilities": [0.023172653080673063, 0.023172653080673088], "optimization_time": 3.6728272438... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.48422120993676504) q[1];
cx q[0], q[1];
ry(0.48422120993676504) q[1];
cx q[0], q[1];
ry(1.0591314364533853) q[0];
ry(-0.6600466468166103) q[1];
h q[2];
ry(-0.5491677298042162) q[2];
rz(-pi) q[3];
ry(-0.04868280451431047) q[3];
h q[4];
cx q[4], 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] 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": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"ZIIZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.976114 | [
-1.666160731733247,
-1.5941893273604293,
-0.9684424198735301,
-1.0983354596084325,
0.7452689593608157,
-0.45783046300707414,
0.6277249541851395,
0.3314326109608061,
-0.36579028926250506,
-0.4044323676190723,
0.10034882564473999,
0.012300798927506712,
-0.010927107153268584,
-0.1512815340929... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
513c00093dea827c03c59c65710798db | 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": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [116, 46], "expectation_value": -0.6956898827561042, "params": [[-0.0572, -0.049600000000000005, -0.059300000000000005, -0.0081], [0.07640000000000001, 0.0671, 0.0767, 0.047900000000000005]], "bitstrings": ["0001011", "1010001"], "total_optimization_steps": 10, "probabilities": [0.015210367778490053, 0.01595... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011", "1010001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.37077761555759625) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.37077761555759625) q[5];
cx q[0], q[5];
rz(0.03009543590334829) q[0];
rx(1.2688047511317464) q[0];
h q[6];
cx q[3], q[6];
rz(-0.370777615557... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
-0.5,
0
] | 0.7778 | [
-0.37077761555759625,
0.9066675348977866,
0.03009543590334805,
-0.8005422509188833,
1.2688047511317466,
-0.9186314981035741,
0.8070252633421148,
0.5332769516375501,
0.6583745163391305
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
eaf152c9366c1fc70b9994ec462b6b4c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 3}, {"weight": 1... | {"states": [123, 122], "expectation_value": -67.81862414137746, "params": [1.1973, 0.006200000000000001, 3.1453, 0.003, 3.1457, 0.0027, 3.1455, 0.0081, 3.1457, 0.0039000000000000003, 0.8758, 0.0034000000000000002, 3.1459, 0.0037, 1.474, 0.0014, 0.008700000000000001, 0.0047, 0.008, 0.005200000000000001, 0.00680000000000... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16.5,
8.5,
16.5,
20.5,
12.5,
5,
20.5,
7.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
bbe36c72142a04c8b1698fed3f77c25c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [3, 19], "expectation_value": -0.15659325558196344, "params": [[0.0649], [-0.0711]], "bitstrings": ["11100", "01100"], "total_optimization_steps": 10, "probabilities": [0.03328517594678955, 0.0350050369060398], "optimization_time": 1.1776752471923828} | 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(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(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 q[1], q[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZZII",
"ZIIZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
-521433356081189257 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 9, 3], [0, 1, 2, 5, 6, 7, 11], [9, 2, 11, 5], [0, 1, 4, 5, 7, 8, 9, 10, 11], [9, 2, 4, 5], [0, 1, 2, 3, 4, 7, 8, 10, 11], [9, 3, 5], [0, 1, 2, 6, 7, 8, 9], [3, 9, 2, 10], [1, 2, 4, 6, 7, 8, 9], [10, 3, 6], [0, 1, 3, 4, 5, 7, 11], [0, 1, 2, 3, 4, 6, 9,... | {"states": [4021, 2997], "expectation_value": -2.754151064572796, "params": [[0.0053, 0.8195, -0.6673, 3.1366, 0.0037, 0.0055000000000000005, 0.0155, 0.0519, -0.0025, 1.5674000000000001, -0.0024000000000000002, 1.5356], [2.4483, 1.0567, 1.7065000000000001, -0.0051, 3.1405000000000003, -0.0014, 3.1312, 3.085400000000000... | 0.22817460317460317 * (Z(8) @ Z(9)) + 0.4345238095238095 * (Z(3) @ Z(9)) + 0.18055555555555555 * (Z(3) @ Z(8)) + 0.05555555555555555 * (Z(0) @ Z(9)) + 0.051587301587301584 * (Z(0) @ Z(8)) + 0.05555555555555555 * (Z(0) @ Z(3)) + 0.07936507936507936 * (Z(1) @ Z(9)) + 0.07539682539682539 * (Z(1) @ Z(8)) + 0.05555555555555... | 10 | 12 | 1 | {"smallest_eigenvalues": [-2.9146825396825395], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8849206349206344, "smallest_bitstrings": ["010001001010"], "largest_eigenvalue": 13.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.114999384798422) q[0];
ry(0.6098145133330374) q[1];
ry(-1.235719250813583) q[2];
ry(3.0656237065750696) q[3];
ry(-0.05299345146689848) q[4];
ry(0.08953331849595496) q[5];
ry(0.0740171123711717) q[6];
ry(-0.18701600454849587) q[7];
ry(-0.2032085353306787) 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[... | null | {"circuits": [], "gradients": []} | [
"IIZZIIIIIIII",
"IIZIIIIIZIII",
"IIIZIIIIZIII",
"IIZIIIIIIIIZ",
"IIIZIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIZIIIIIIIZI",
"IIIZIIIIIIZI",
"IIIIIIIIZIZI",
"IIIIIIIIIIZZ",
"IIZIIIIIIZII",
"IIIZIIIIIZII",
"IIIIIIIIZZII",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIZIIIZIIIII",
"IIIZIIZIIIII",
"IIIIIIZIZ... | [
0.22817460317460317,
0.4345238095238095,
0.18055555555555555,
0.05555555555555555,
0.051587301587301584,
0.05555555555555555,
0.07936507936507936,
0.07539682539682539,
0.05555555555555555,
0.11706349206349206,
0.3154761904761904,
0.061507936507936505,
0.11507936507936506,
0.079365079365079... | 0.971172 | [
-0.114999384798422,
0.6098145133330374,
-1.235719250813583,
3.0656237065750696,
-0.05299345146689848,
0.08953331849595496,
0.0740171123711717,
-0.18701600454849587,
-0.2032085353306787,
1.6001097041213277,
0.06644182885264907,
1.2925024765590194,
2.817214729926756,
0.5780444095523533,
1.... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -2.9146825396825395,
"target_ratio": 0.97,
"target_value": -2.827242063492063
} | 11 |
4cd28f9bc761b26f6d6f15aeccbaedea | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [13, 82], "expectation_value": -0.06703580015606547, "params": [[0.0488], [-0.0422]], "bitstrings": ["1110010", "0101101"], "total_optimization_steps": 10, "probabilities": [0.008232699157219529, 0.00823444426993303], "optimization_time": 1.281364917755127} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001111", "0010111", "0110110", "1110010", "1010011", "0101101", "1001011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"ZIIIZII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
67c953665c06aafff2701bb5e40cbdc4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [876, 364], "expectation_value": -104.29088647015843, "params": [[[0.8161, 0.059500000000000004], [0.5542, 0.0916], [0.0761, 0.062400000000000004], [0.3457, 0.5467000000000001], [0.6443, 0.6031000000000001], [0.0057, 0.45780000000000004], [0.0867, 1.0688], [0.06520000000000001, 1.0702], [0.6925, 0.7841], [0.... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(2) @ Z(4)) + 7.0 * (Z(3) @ Z(6)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(6)) + -2.0 * Z(0) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-116.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["1010010011"], "largest_eigenvalue": 209.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.9858279313869782) q[0];
ry(0.6866991925246817) q[1];
ry(0.15842479859923098) q[2];
ry(0.2868987298223713) q[3];
ry(0.8845544201521987) q[4];
ry(0.14068754424107852) q[5];
ry(0.3486366888257335) q[6];
ry(-0.0034499802873001776) q[7];
ry(0.7224847844053174) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZIIZIIII",
"IIZIIIIZII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIZIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIIIZIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
-2,
13.5,
29.5,
26.5,
4,
17,
11,
13,
-3.5,
2
] | 0.970511 | [
0.9858279313869782,
0.6866991925246817,
0.15842479859923098,
0.2868987298223713,
0.8845544201521987,
0.14068754424107852,
0.3486366888257335,
-0.0034499802873001776,
0.7224847844053174,
0.7788569800005349,
0.02584109358083779,
0.0018630401213789935,
0.04759057419128493,
0.14185491072767448... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -116,
"target_ratio": 0.97,
"target_value": -112.52
} | 52 |
6b7ed53a34b4dd2aa2503ba0aafc7221 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [25, 1], "expectation_value": -1.3240374472214471, "params": [[0.0634, 0.0494, 0.06470000000000001, 0.06430000000000001], [-0.0723, -0.0381, -0.0456, -0.050800000000000005]], "bitstrings": ["100110", "111110"], "total_optimization_steps": 10, "probabilities": [0.03144672845107422, 0.036001330093428915], "opt... | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.00277685182702987) q[1];
cx q[2], q[1];
rz(0.0027768518270301357) q[2];
rx(1.5696210211582238) q[2];
h q[3];
cx q[3], q[0];
rz(0.00277685182702987) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.0019952943025770145) 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": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"IZZIII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
-0.75,
-0.75,
1,
-0.5,
-1.75,
-0.75,
-0.5,
-0.25,
-0.75,
0.5,
0.5,
0.5
] | 0.735473 | [
0.00277685182702987,
1.1759267912363337e-7,
-0.17998381122439663,
0.0019952943025770145,
1.5707941432274504,
-1.5708341891253215,
1.5696210211582238
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 237 |
52d445418826abb1edfe2507a27ebafb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [111, 110], "expectation_value": -21.69306787460545, "params": [[-0.028200000000000003, -0.0257, -0.006500000000000001, -0.0036000000000000003], [0.0511, 0.0634, 0.0591, 0.0577]], "bitstrings": ["10010000", "10010001"], "total_optimization_steps": 10, "probabilities": [0.019084654519015417, 0.024558948080190... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-1.6828308069606857) q[0];
rz(-pi) q[0];
ry(-1.031553795512743) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.47951232566871355) q[2];
h q[3];
ry(1.5494251047186622) q[3];
cx q[3], q[0];
ry(-0.13259672277912185) q[0];
cx q[3], q[0];
rz(-pi) q[4];
ry(-0.4898624661385249) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
8.5,
3,
14,
9.5,
5.5,
11,
11.5,
7.5
] | 0.972207 | [
22.904847443811345,
-4.836510392042526,
-8.91936632246195,
18.086225405810733,
64.41757649799031,
-24.777570963831565,
-5.2393488668576165,
-11.415326169661288,
-0.5697063469010043,
-0.020562242613332754,
1.5494251047186622,
0.2651934455582437,
-0.44100939376492304,
0.0038150615698399892,
... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 58 |
0a3673ffdac65321bbf7b0925b451cf8 | 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": 7, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 7, "source": 1, "target": 8}, {"capac... | {"states": [265, 267], "expectation_value": -19.122572525246813, "params": [[-0.0058000000000000005, -0.7962, 0.012100000000000001, -0.0004, -0.0011, 0.015600000000000001, -0.7779, -0.0012000000000000001, 0.40040000000000003, 0.9244], [0.0013000000000000002, -0.9263, -0.0054, 0.0046, 0.0008, 0.0023, -0.8666, -0.0034000... | -1.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(8) @ Z(2)) + -1.75 * (Z(1) @ Z(8)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + 2.5 * (Z(9) @ ... | 10 | 10 | 4 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["1011110100"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.07886682323714066) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6268588832631897) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.18270505434415132) q[3];
cx q[0], q[3];
h q[4];
cx q[3], q[4];
rz(0.7409926055207786) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IIIIIZZIII",
"IIZIIIZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IZIZIIIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IZIIIIIIII"... | [
-1.75,
-1.25,
-0.5,
-0.25,
-1.75,
-2,
-1,
-0.5,
-0.75,
-1.5,
-1.5,
-0.75,
-1.75,
2.5,
-0.75,
-1,
-0.25,
-0.25,
-1.25,
-1.5,
1,
-0.75,
-0.25,
-2,
4.5,
0.75
] | 0.594684 | [
0.07886682323714066,
0.6268588832631897,
0.18270505434415132,
1.0641676618925666,
0.7409926055207786,
0.03864276653991108,
0.2322388388533163,
-0.01759150675436562,
-0.16329620959436658,
-1.5292088632565066,
-1.5506991992892978,
-1.5223532883210942,
1.3255433222907507
] | {
"n_parameters": 13,
"n_qubits": 10,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 306 |
16efd0d1722058bdcecd0a47f621047a | matching | adaptive_vqe | {"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": [106, 122], "expectation_value": -36.307996635901624, "params": null, "bitstrings": ["10010101", "10000101"], "total_optimization_steps": 100, "probabilities": [0.11792938375629661, 0.18104407076086781], "optimization_time": 149.97321939468384} | 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 | 2 | {"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... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"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 |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [75, 91], "expectation_value": -5.999841689300217, "params": [-0.00030000000000000003, 0.759, -0.7617, 0.0089, -0.0601, -0.41650000000000004, 0.9715, 0.2222, 0.5223, 0.2929, -0.0022, 0.4645, 0.7907000000000001, 0.2665, -0.7467, -0.0009000000000000001, 0.0047, 0.8500000000000001, -0.7527, 0.0054, -0.0516, -0.... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 16 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.757060425932339) q[0];
h q[1];
ry(0.5571476883083074) q[1];
h q[2];
ry(-0.7757331894833571) q[2];
h q[3];
ry(0.5571476883083074) q[3];
h q[4];
h q[5];
cx q[5], q[1];
ry(-0.5571476883083074) q[1];
cx q[5], q[1];
ry(-0.45153744158202225) q[5];
h q[6];
ry(1.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"ZIIIZIII",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ"
] | [
-0.5,
0.5,
-0.5,
-1,
2,
-1,
-0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
1.5,
-0.5,
3,
0.5,
0,
0.5,
-1.5
] | 0.970262 | [
1.551025847539175,
1.1142953766166148,
-1.514120851864678,
-0.9030748831640445,
1.0604963305167354,
1.1320609964259831,
0.4832606820012933,
-1.2695992048912437,
-1.5514663789667142,
0.7560951237958784,
0.6790527832433262,
0.2954535073205394,
0.22125758791669647,
-0.13766859132785303,
-0.... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [47, 55], "expectation_value": -3.731035313112881, "params": [[0.1588, 0.1399, 0.1496], [-0.1802, -0.1612, -0.1715]], "bitstrings": ["11010000", "11001000"], "total_optimization_steps": 20, "probabilities": [0.030974465107069717, 0.030974465107069724], "optimization_time": 7.199093580245972} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11001000", "11010000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.023782534509358612) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.2362354194851212) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.2362354194851212) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.2362354194851212) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZZIIIII",
"IZIIIIZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IZIIIII... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1.5,
-0.5,
0.5,
0,
2,
2,
-0.5,
-0.5
] | 0.690016 | [
0.023782534509358612,
-0.2362354194851212,
0.0030841673081000017,
-1.5267108229648716,
-1.5111620816372704,
-1.5332934594005045,
1.9304385541401896
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 207 |
-8257020908422260613 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 2, 7], [2, 4], [0, 10, 11, 4], [1, 2], [0, 2, 3, 8, 9, 11], [9, 10, 11, 1], [8, 11, 3, 6], [8, 3, 10, 11], [1, 5, 6, 7, 10], [1, 4], [0, 1, 11], [11, 4, 5], [8, 2, 10, 5], [0, 7], [11, 2, 3, 6], [3, 2, 10], [9, 10, 5], [3, 6, 7], [8, 0, 10, 3], [9, 6]... | {"states": [1879, 1895], "expectation_value": -4.819249709445562, "params": [[[-0.0025, 0.0078000000000000005, 0.0054, 0.0058000000000000005], [1.0336, -0.0024000000000000002, 1.0579, 0.0013000000000000002], [3.1384000000000003, 0.0061, 0.0061, 0.0035], [0.0027, -1.4617, 1.5682, 0.0008], [0.0028, 0.0022, 0.0094, 0.0008... | 0.19999999999999998 * (Z(11) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(11)) + 0.5 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(11)) ... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.983333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.933333333333335, "smallest_bitstrings": ["100010011000"], "largest_eigenvalue": 17.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.06572148079843225) q[0];
rz(0.046044290334178214) q[0];
ry(1.1307130068032876) q[1];
rz(-0.015013093555645061) q[1];
cz q[1], q[0];
ry(2.0898899245828875) q[1];
ry(3.128197192817536) q[2];
rz(-0.16035812241213657) q[2];
ry(0.042878554856531484) q[3];
rz(-1.4400058... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIIIIIIZIIII",
"IIZIIIIZIIII",
"ZIZIIIIIIIII",
"IIIIIZIZIIII",
"IIIIIIIZIIIZ",
"ZIIIIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIIIIZIIIIIZ",
"IIIIIIIZIZII",
"ZIIIIIIIIZII",
"IIZIIIIIIZII",
"IIIIIZIIIZII",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"ZIIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZ... | [
0.19999999999999998,
0.16666666666666666,
0.16666666666666666,
0.5,
0.03333333333333333,
0.03333333333333333,
0.5,
0.08333333333333333,
0.25,
0.25,
0.05,
0.08333333333333333,
0.16666666666666666,
0.11666666666666667,
0.11666666666666667,
0.25,
0.2833333333333333,
0.25,
0.5,
0.0... | 0.971804 | [
0.06572148079843225,
0.046044290334178214,
1.1307130068032876,
-0.015013093555645061,
3.128197192817536,
-0.16035812241213657,
0.042878554856531484,
-1.4400058664089037,
0.03278296839178341,
0.07904630943143451,
0.5477063314722543,
0.042644960554722736,
1.8317893336595057,
-0.1556082708612... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -4.983333333333334,
"target_ratio": 0.97,
"target_value": -4.8338333333333345
} | 4 |
5977c975ee74442620a2f317f357b942 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [415, 411], "expectation_value": -1.9586623350548487, "params": [[[-0.002, 0.0067], [1.8933, 0.004], [1.9040000000000001, 0.001], [0.7152000000000001, 0.0011], [0.23820000000000002, 0.0089], [1.8998000000000002, 0.0049], [1.8961000000000001, 0.0081], [1.5322, 0.0082], [1.9088, 0.0085], [1.9006, 0.0027]]], "b... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(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)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(0) @ Z(6) @ Z(2)) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.375, -4.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.375, "smallest_bitstrings": ["1001100100", "1100100001"], "largest_eigenvalue": 7.625} | 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": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIZZZI",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IIZZIIIIII",
"IIZZIIIIZI",
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIIZIZ",
"IZIIIZIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"ZIIIZIIIII",
"IZZIIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.75,
0,
0,
-0.25,
-0.5,
-0.125,
0,
0.125,
-0.125,
-0.125
] | 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 |
a3571c19d72a014065614d323aff3379 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [39, 7], "expectation_value": -1.321405710178079, "params": [[[0.3264, -0.0383], [0.2857, -0.09090000000000001], [0.2761, 0.1041], [0.4652, -0.006900000000000001], [0.4625, -0.0039000000000000003], [0.46240000000000003, 0.0048000000000000004]], [[0.3287, -0.0385], [0.2907, -0.091], [0.275, 0.1043], [0.4627, ... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.5,
-1,
-0.25,
-0.25,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
ccc75c37fec3353f90dd581f2dccee63 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 28], "expectation_value": -0.30987449838266246, "params": [[0.0181, 0.0375, -0.0597], [-0.0201, -0.0468, 0.0275]], "bitstrings": ["0001111", "1100011"], "total_optimization_steps": 10, "probabilities": [0.008654272844387032, 0.008654272844387037], "optimization_time": 5.330444574356079} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["0001111", "0100111", "1100011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.369257418809364) q[0];
h q[1];
ry(-0.518272022789717) q[1];
h q[2];
ry(1.5393951423361902) q[2];
h q[3];
cx q[3], q[1];
ry(0.518272022789717) q[1];
cx q[3], q[1];
ry(-0.7513951832887684) q[1];
ry(1.1364619027543497) q[3];
cx q[2], q[3];
ry(-0.22300864672577... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"IIIZIZI",
"IZIIZII",
"ZIIIZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII"
] | [
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,
-2.5,
-2.5,
-1.5,
-1,
-0.5
] | 0.997873 | [
-1.5505528970944424,
-1.417266205241047,
1.5393951423361902,
1.369257418809364,
-1.036544045579434,
0.913453256028574,
-0.6749117521695421,
0.44601729345155106,
-0.15296686223845277,
0.22091931333721174,
-0.03462276784399819,
-0.15612762696814192,
0.2402740536854266,
0.16178691756223332,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [76, 51], "expectation_value": -0.18782278734191257, "params": [[0.0711], [-0.0663]], "bitstrings": ["0110011", "1001100"], "total_optimization_steps": 10, "probabilities": [0.009081896320131361, 0.009222452407270605], "optimization_time": 1.2514030933380127} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.03049018985054917) q[0];
rz(-0.652895808350848) q[0];
rx(1.0828600210922614) q[1];
rz(0.11898671126681482) q[1];
rx(0.9878975468726287) q[2];
rz(0.489093148051591) q[2];
rx(0.02089852220290524) q[3];
rz(0.5743749621607193) q[3];
rx(-0.12966988553380707) q[4];
rz(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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IIZIIZI",
"IIIZZII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIIIZI",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-1.5,
0,
-0.5
] | 0.976671 | [
0.030490189850549174,
-0.6018924218358704,
1.0828600210922616,
0.0027489327041744227,
0.9878975468726285,
0.3026425215455413,
0.020898522202905244,
0.7501048123061079,
-0.1296698855338071,
-0.06885013052475858,
0.9457023206511923,
0.29780809922888296,
1.1966749650026702,
0.0110733309894557... | {
"n_parameters": 58,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
1adba468d08e1435f811ffca287d3635 | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -17.90184511020461, "params": [-0.0037, -0.10550000000000001, -0.0032, -0.12140000000000001, -0.0007, 0.15710000000000002, 0.0054, 0.1691, 0.0038, 0.1598, -0.0006000000000000001, 0.15910000000000002, -0.0005, 0.169, 0.004, 0.1612, 0.0028, 0.1631, 0.0019, 0.1574, 0.0023, 0.1663, 0... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.75 * (Z(9) @ Z(1)) + 4.75 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 7 | 10 | 4 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.09107953298258213) q[0];
rz(-0.23781153144188671) q[0];
rx(0.10167219125471223) q[1];
rz(-0.2597527674745099) q[1];
rx(-0.09265234115949697) q[2];
rz(-0.2778794906509656) q[2];
rx(0.09968028514765133) q[3];
rz(-0.14053303195427524) q[3];
rx(0.036818424210211455) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IIZIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIZIIIZII",
"IZIIIIIZII"... | [
-0.75,
-0.25,
-1.25,
-1.25,
-0.25,
-1.25,
-1,
-1,
-1.25,
-1,
-0.5,
-0.75,
4.75,
-0.75,
-0.5,
-0.75,
-1,
-0.5,
-1.25,
-0.5,
-0.25,
-1,
-0.25,
-1,
-0.75,
1.25,
-0.25,
-2,
-3,
-0.75,
1.75,
-0.75,
1.75,
2.25,
-0.25
] | 0.980386 | [
0.09107953298258212,
-0.26895249184217246,
0.10167219125471225,
-0.27204073105937854,
-0.09265234115949696,
-0.33468694678694577,
0.09968028514765133,
-0.11179913742135912,
0.03681842421021145,
-0.512404428744931,
-0.06138140281912338,
-0.10354570125806152,
0.0006429872501146766,
0.0493438... | {
"n_parameters": 88,
"n_qubits": 10,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 6 |
8f570f960f63671d4142917816c3a15b | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [432, 436], "expectation_value": -2.869101025331738, "params": [[[-0.0013000000000000002, 0.0016], [2.853, 0.1706], [0.17070000000000002, -0.0193], [0.49620000000000003, 2.8596], [0.6045, -0.5437000000000001], [0.49870000000000003, 2.6425], [1.4167, -2.6253], [0.0037, 0.5022], [2.9686000000000003, 0.0032]]],... | 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(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 9 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.75, "smallest_bitstrings": ["001100011", "100001011", "101000011", "010001011", "001010011", "001001011"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.09497496800020405) q[0];
ry(1.4600709921015824) q[1];
ry(0.39336561494505273) q[2];
ry(1.1159621473878063) q[3];
ry(1.0659979656717296) q[4];
ry(0.4656895360162482) q[5];
ry(1.243456357921148) q[6];
ry(-0.01938399163025254) q[7];
ry(0.38535406022032104) q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IZZIIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
-0.25,
0.125,
0... | 0.970637 | [
0.09497496800020405,
1.4600709921015824,
0.39336561494505273,
1.1159621473878063,
1.0659979656717296,
0.4656895360162482,
1.243456357921148,
-0.01938399163025254,
0.38535406022032104,
0.011117583291569604,
0.06048287065278788,
-0.02645478647171008,
0.00047416690820300395,
-0.05895013079908... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 65 |
9b45b5fdea58b397fa5dd9ec63b0a714 | 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": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [50, 57], "expectation_value": -1.4639787159213589, "params": [[0.07590000000000001, 0.0668, 0.07540000000000001, 0.0674], [-0.0873, -0.0679, -0.07490000000000001, -0.0634]], "bitstrings": ["1001101", "1000110"], "total_optimization_steps": 10, "probabilities": [0.019230015047145686, 0.022675745567736338], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(6) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.2846623904650713) q[0];
rz(0.3596610448125852) q[0];
rx(0.8838653665050334) q[1];
rz(0.17352269666102993) q[1];
rx(1.086897538425664) q[2];
rz(0.015370574451655905) q[2];
rx(0.9052744809698205) q[3];
rz(0.09369799214886676) q[3];
rx(-0.11789549832981455) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"IZZIIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-1.5,
-0.5,
-1
] | 0.973753 | [
0.28466239046507125,
0.17060072286679495,
0.8838653665050334,
0.18077219767020736,
1.0868975384256643,
-0.10768172851634447,
0.9052744809698205,
0.10753455423490242,
-0.11789549832981455,
0.0007530583440475691,
0.08263331102693232,
0.3993591215334641,
1.0516327607048899,
0.3237196358611713... | {
"n_parameters": 59,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 14 |
eb838adb6a1c441f832f8b409328615c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [3608, 4088], "expectation_value": -23.093077367568732, "params": [2.213, 0.9236000000000001, -0.0024000000000000002, -0.0025, 0.0053, -0.0026000000000000003, -0.8629, -0.9552, -0.024200000000000003, -0.019700000000000002, 0.0601, -0.0115, 0.5781000000000001, -0.2205, 2.1475, 0.9811000000000001, -0.002400000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z... | 14 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(2.0043675258700584) q[0];
rz(pi/2) q[0];
ry(0.03417071365217032) q[1];
ry(-0.04595560291490588) q[2];
ry(-1.519555097601748) q[3];
ry(0.02400902194877451) q[4];
ry(0.03221495662485646) q[5];
ry(0.7850813314722018) q[6];
ry(1.728345753210939) q[7];
ry(0.0341707136521... | OPENQASM 3.0;
include "stdgates.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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-1.5,
-1.5,
-1.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
-1,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.971047 | [
2.0043675258700584,
0.03417071365217032,
-0.04595560291490588,
-1.519555097601748,
0.02400902194877451,
0.03221495662485646,
0.7850813314722018,
1.728345753210939,
0.012592811897064841,
-0.09412033517753345,
2.648417035878274,
3.810373104953632,
3.3637878141191857,
0.22114814289488266,
2... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 17 |
655689708e73cb2de5fff319b9c5049e | 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": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [59, 58], "expectation_value": -3.953558098048407, "params": [0.002, -0.3039, 0.1968, 0.0022, 2.3739, -0.0026000000000000003, 2.4, 0.003, 2.4010000000000002, -0.056100000000000004, 0.0022, -0.8481000000000001, 2.4038, 0.0032, 1.4434, 0.0046, -0.0026000000000000003, -0.19190000000000002, 0.7785000000000001, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + 0.0 * Z(6) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -1.0 * Z(7) + 0.0 * Z(3) | 4 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000101", "11001100", "10001101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
ry(-0.3114576192495056) q[1];
cx q[0], q[1];
ry(0.3114576192495056) q[1];
cx q[0], q[1];
ry(-0.030618043159300785) q[0];
cx q[1], q[0];
ry(0.030618043159300785) q[0];
cx q[1], q[0];
ry(0.6769972329410875) q[0];
ry(-0.05626210454716797) q[1];
h q[2];
h 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": []} | [
"IIIIIZIZ",
"IZIIIIIZ",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIZI",
"ZIIZIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0,
-0.5,
-1,
-1.5,
-1,
0
] | 0.97036 | [
-0.1530126046139461,
-0.6079426493672848,
-0.6986865897845813,
-0.6229152384990112,
-0.19187308433866224,
-1.262129033882647,
-1.0406852453135558,
-1.503410570765852,
-0.42170585527000815,
0.258806616762688,
-0.8679451848812157,
1.047117295721072,
0.06747524180625496,
0.9195739993990667,
... | {
"n_parameters": 98,
"n_qubits": 16,
"optimal_eigenvalue": -2.0182098765431746,
"target_ratio": 0.97,
"target_value": -1.9576635802468794
} | 72 |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [86, 89], "expectation_value": -0.21284071563277032, "params": [[0.07880000000000001, 0.07350000000000001], [-0.0777, -0.0627]], "bitstrings": ["0101001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.011094830461869726, 0.01109647357873155], "optimization_time": 4.377906799316406} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.75,
0,
-0.25,
-0.5,
0,
-0.25
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
72cfe75303481c7afddd417072d0a1f6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"sour... | {"states": [352, 480], "expectation_value": -5.346140894458449, "params": [0.908, -0.0018000000000000002, 0.9028, 0.002, 0.8611000000000001, -0.001, 0.8591000000000001, 0.0061, 0.9008, 0.0011, 0.8998, 0.0032, 0.9043, 0.0009000000000000001, 0.9107000000000001, 0.0018000000000000002, -0.0015, 0.522, -0.0014, 0.0013000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["010111001", "110011010", "010011011", "000011111", "100011110", "000111101"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.929948844502545) q[0];
rz(-0.27329917239141954) q[0];
rx(1.252124971449034) q[1];
rz(0.1023524956258745) q[1];
cx q[1], q[0];
rz(0.01928978630067027) q[0];
cx q[1], q[0];
rx(1.2843076206559298) q[0];
rz(-0.14553187645890556) q[0];
rx(1.611895122706697) q[1];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIIIZZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"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,
-2.5,
-1,
-2.5,
-1.5,
-1,
0,
-0.5,
-0.5,
-1
] | 0.986467 | [
1.929948844502545,
-0.2540093860907492,
1.252124971449034,
0.1023524956258745,
1.7022031179253596,
-0.08805019834958391,
1.1669467712010813,
0.031043165254880378,
0.05031644153549832,
0.6416411302134034,
0.064806768879967,
0.45575795754625553,
0.18306767907907562,
-0.19562775093506035,
0... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 18 |
e4c65d82be0d39aa5a43dd21b25413c9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 11, "source": 1, "target": 5}, {"weight": 1... | {"states": [158, 122], "expectation_value": -10.059218192118605, "params": [[-0.0034000000000000002, -0.0388, 0.0558], [-0.0067, 0.0613, -0.0162]], "bitstrings": ["01100001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006669186791482175, 0.007526165077520276], "optimization_time": 6.95667552947998... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 147.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"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,
9,
11.5,
15.5,
20,
12.5,
5,
13,
8
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
3364d8ea5b92ff0a5d6a88ae437c4a95 | 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": [318, 310], "expectation_value": -22.637312939464923, "params": [1.0067000000000002, 0.306, 0.37360000000000004, 0.5238, 0.1658, 0.7192000000000001, 1.0049000000000001, 0.0143, 0.9984000000000001, 0.2718, 0.8235, 0.3279, 1.0043, 0.0036000000000000003, 1.0055, 0.2832, 0.7724000000000001, 0.316, 1.008800000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.0 * Z(0) + -1.5 * Z(1) + -3.0 * Z(2) + -1.0 * Z(3) + 8.0 * Z(4) + 3.0 * Z(5) + 15.5 * Z(6) + 2.0 * Z(8) + 7.5 * Z(7) | 18 | 9 | 2 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["011001001"], "largest_eigenvalue": 96.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.8898481806623577) q[0];
rz(0.05767829602938157) q[0];
rx(0.1544775056388238) q[1];
rz(-0.07123023990472119) q[1];
rx(0.23896470980429274) q[2];
rz(0.711673200838538) q[2];
rx(1.6746893351028964) q[3];
rz(-0.1978514392485942) q[3];
rx(1.4591957705561465) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6,
-1.5,
-3,
-1,
8,
3,
15.5,
2,
7.5
] | 0.975875 | [
1.8898481806623575,
0.32887111303821503,
0.1544775056388238,
-0.07123023990472119,
0.23896470980429274,
0.711673200838538,
1.6746893351028964,
-0.1978514392485942,
1.4591957705561465,
0.08047035098145659,
0.2767291384028456,
0.6250917376941825,
2.183798268484208,
0.1175503973778389,
1.22... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -61.5,
"target_ratio": 0.97,
"target_value": -59.655
} | 23 |
33f87d8b006507f35f4d20e43beeca46 | 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": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [169, 215], "expectation_value": -1.5455204211061653, "params": [[[0.39530000000000004, 0.0969], [0.39080000000000004, 0.0906], [0.368, 0.1233], [0.4068, 0.0999], [0.38330000000000003, 0.2427], [0.39980000000000004, 0.2182], [0.379, 0.36960000000000004], [0.3648, 0.3482], [0.31930000000000003, 0.3498], [0.39... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(9) @ Z(0)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(0) @ Z(5)) + ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100100100", "1100110000", "1100101000", "1101000100", "1011000100", "1010101000", "1011010000", "1011001000"], "largest_eigenvalue": 6... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.07519354267740673) q[0];
rz(pi/2) q[0];
ry(-0.18812279551855077) q[1];
ry(1.855515279352595) q[2];
ry(1.4044602365704797) q[3];
ry(0.2838727434886026) q[4];
ry(1.701214710409299) q[5];
ry(-0.003578028485843182) q[6];
ry(1.2376339021242693) q[7];
ry(1.205182580893... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIZZZIIIII",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IZIIZIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IZIIZIIIIZ",
"ZIIIZIIIIZ",
"ZZIIIIIIIZ",
"ZZIIZIIIII",
"ZZIIZIIIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IZIIIIIIZI"... | [
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,
-0.125,
... | 0.981396 | [
-0.07519354267740673,
-0.18812279551855077,
1.855515279352595,
1.4044602365704797,
0.2838727434886026,
1.701214710409299,
-0.003578028485843182,
1.2376339021242693,
1.2051825808938985,
1.7477730865506962,
0.09801498672843181,
1.3789841189409087,
0.4695867906549551,
-0.6046208251558453,
-... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 48 |
2ecd5cf8bb1f2f072e3465d49b3fe4a0 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"sour... | {"states": [44, 45], "expectation_value": -5.960971528971779, "params": [-0.0035, 0.0005, 0.0038, 0.0011, 0.3904, 0.0035, 1.6074000000000002, 0.0063, 0.0033, 0.0089, 1.6146, 0.0066, 1.6121, 0.0078000000000000005, 0.5291, 0.0088, 1.5987, 0.0, 0.0027, 0.0046, 0.0064, 0.001, 0.0067, 0.008, 0.0019, 0.004200000000000001], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["111010010"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.1339461660153276) q[0];
rz(0.15408436251676427) q[0];
rx(-0.00029366431778887764) q[1];
rz(-0.5853470627721737) q[1];
rx(-0.11983218829798185) q[2];
rz(0.13411021886381214) q[2];
rx(-3.103148295677694) q[3];
rz(0.13100810889992598) q[3];
rx(0.06773044644053557) 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": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIIZ",
"IIIZZIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1.5,
-2.5,
-1,
-1.5,
-1,
-1,
0
] | 0.971533 | [
-0.13394616601532758,
0.385419602729191,
-0.0002936643177888776,
-0.6254805184803953,
-0.11983218829798184,
0.14907673872955648,
3.1800370115018928,
0.05291107503254133,
0.06773044644053555,
0.03404000495946075,
2.7470845915173316,
0.3532196886356584,
2.7553055327381477,
0.0624625376798860... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 19 |
535499520343066594 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [0, 2, 3], [0, 3, 4], [1, 2, 3, 5, 6], [5, 7]]} | {"states": [59, 236], "expectation_value": -0.45127274454902705, "params": [[-0.26730000000000004], [0.2763]], "bitstrings": ["11000100", "00010011"], "total_optimization_steps": 30, "probabilities": [0.007967264538260873, 0.007980943425974388], "optimization_time": 2.677274227142334} | 0.5 * (Z(0) @ Z(6)) + 0.05 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(6)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8666666666666671], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8666666666666667, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-1.5295323718469913) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(-0.0153164449126513) q[2];
cx q[6], q[2];
cx q[0], q[2];
rz(-0.23774955962752553) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(-0.015316444912... | 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[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IZIIIZII",
"IIIIIZIZ",
"IZIIZIII",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZZIII",
"IZIIIIZI",
"IIIIIZZI",
"IIIIZIZI",
"IZZIIIII",
"IIZIIZII",
"IIZIZIII",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIIIIIZI",
"IIZIIII... | [
0.5,
0.05,
0.16666666666666666,
0.05,
0.3333333333333333,
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.1000000000000002,
0.3333333333333335,
0.26666666666666666,
0.43333333333333335,
0.16666666666666666,
0.1... | 0.762235 | [
-1.5295323718469913,
-0.0153164449126513,
-0.23774955962752553,
0.06845001453480151,
-0.08564050211996156,
-0.20991379689960374,
-1.2832121556643086,
-1.4638828935068837,
0.23198993464002687,
0.8478041092427601
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -1.8666666666666671,
"target_ratio": 0.97,
"target_value": -1.810666666666667
} | 249 |
438c99c8c1eb01b75ba0d10b2b9c843f | 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": [1174, 1173], "expectation_value": -99.83840921809123, "params": [[[1.5732000000000002, 1.5688], [-0.7785000000000001, 1.5688], [-1.2670000000000001, 1.2742], [1.5735000000000001, 1.5735000000000001], [-1.5689000000000002, 1.5735000000000001], [-1.5683, 1.5730000000000002], [1.5726, 1.5687], [1.5729, 1.5727]... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(2) @ Z(6)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(10) @ Z(6)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(9) @ Z(10)) + 12.5 * Z... | 15 | 11 | 1 | {"smallest_eigenvalues": [-131.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.0, "smallest_bitstrings": ["01101101010"], "largest_eigenvalue": 186.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.637767930435415) q[0];
ry(-1.3926684057370882) q[1];
ry(-1.5410547442273281) q[2];
ry(1.5454338620286292) q[3];
ry(-1.52593025161155) q[4];
ry(-1.5022818752325657) q[5];
ry(1.5240076122728679) q[6];
ry(1.5562176254504982) q[7];
ry(1.5665933074543577) q[8];
ry(1.56... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIZIIIZII",
"IIIIZZIIIII",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IIZIZIIIIII",
"IIZIIIIIZII",
"IIZZIIIIIII",
"ZIIIZIIIIII",
"ZIIIIIIIZII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
12.5,
-2.5,
13.5,
-6,
20,
8,
-4.5,
8,
21,
21.5,
-3.5
] | 0.976018 | [
1.637767930435415,
-1.3926684057370882,
-1.5410547442273281,
1.5454338620286292,
-1.52593025161155,
-1.5022818752325657,
1.5240076122728679,
1.5562176254504982,
1.5665933074543577,
1.5644355864534722,
1.4747898132332766,
1.6435316678562817,
1.5886649128743902,
1.6016133414477227,
1.39070... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -131,
"target_ratio": 0.97,
"target_value": -127.07
} | 29 |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 9], "expectation_value": -1.7899924702501313, "params": [[[0.1517, 0.232], [0.6087, -0.0026000000000000003], [0.0041, 0.45570000000000005], [-0.0008, 0.317], [0.5986, -0.0035]], [[0.1559, 0.2321], [0.6027, -0.0026000000000000003], [0.0007, 0.44880000000000003], [0.0019, -0.249], [0.6042000000000001, -0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.5,
-0.125,
-0.625,
-0.625,
-0.125
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
9106470436006913530 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [2, 3], [0, 1], [1, 2], [0, 2], [0, 4], [1, 5], [4, 5], [2, 4]]} | {"states": [37, 41], "expectation_value": -0.06828246719584147, "params": [[0.061500000000000006], [-0.0629]], "bitstrings": ["011010", "010110"], "total_optimization_steps": 10, "probabilities": [0.01684070574045271, 0.01684070574045271], "optimization_time": 0.48766493797302246} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["101001", "100101", "010010", "101101", "010110", "011010"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.13163382623829942) q[0];
rz(0.817149096937305) q[0];
rx(2.0810413471814955) q[1];
rz(0.40274318432728284) q[1];
rx(0.19159976195317366) q[2];
rz(-0.11261260073215063) q[2];
rx(0.2987301068914402) q[3];
rz(0.4383457522567493) q[3];
rx(2.0810413471814955) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIZIZI",
"IIZZII",
"IIIZZI",
"IIIIZZ",
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZIII",
"IIIIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.971079 | [
-0.13163382623829942,
0.3352708583808112,
2.0810413471814955,
0.057452555156702265,
0.19159976195317366,
0.015446860997230749,
0.2987301068914402,
0.47588183686885,
0.6415555343731213,
0.1665056308990486,
0.41385188600409867,
-0.5890522858331865,
-0.07507216922420157,
-0.25611892345876314,... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 35 |
4b2b5ba04f490b1a55b5e14f626537a5 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [3038, 3036], "expectation_value": -2.337795984025031, "params": [1.0988, 0.0376, 0.3643, 0.45320000000000005, 1.1014000000000002, -0.0726, 0.7823, -0.0032, 1.0974000000000002, -0.0011, 1.0994000000000002, -0.0018000000000000002, 0.0083, 0.1605, 1.1025, 0.0465, 1.0922, -0.0723, 1.0941, -0.3774, 0.7632, 0.410... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 4 | 12 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.875, "smallest_bitstrings": ["100000110010", "001000101010", "010001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6070261127721035) q[0];
h q[1];
ry(-1.551331179186838) q[1];
h q[2];
cx q[2], q[0];
ry(0.6070261127721035) q[0];
cx q[2], q[0];
ry(-0.6149725597461607) q[0];
ry(0.9885050351854432) q[2];
h q[3];
ry(1.495667010488557) q[3];
h q[4];
ry(1.495667010488557) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZI... | [
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,
-0.125,
-0.125,
0.125,
0.25,
... | 0.998608 | [
-1.551331179186838,
-1.584904635171181,
1.495667010488557,
-1.214052225544207,
0.7319726548460825,
-0.3768706356320442,
0.5130647606787211,
-0.4762038482282329,
0.35645834763980605,
-0.17531532782789122,
0.19033161818229352,
0.18406705281432265,
0.0246127673755438,
0.0846861305640349
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
3032900268526080703 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [3, 5], [0, 1], [1, 6], [3, 7], [2, 4], [3, 4], [1, 7], [4, 6], [0, 5], [2, 7], [1, 3], [1, 2], [5, 6], [0, 7]]} | {"states": [243, 178], "expectation_value": -4.676682972075539, "params": null, "bitstrings": ["00001100", "01001101"], "total_optimization_steps": 72, "probabilities": [0.05628495783754454, 0.8275117906197008], "optimization_time": 116.88976216316223} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01001101", "10110010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.5111356393913317) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(-0.5111356393913317) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(-0.5111356393913317) q[3];
cx q[1], q[3];
cx q[1], q[0];
rz(-0.5111356393913317) q[0];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], 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] = me... | [
"IIIZIIZI",
"IIIZZIII",
"IIIIZIZI",
"IIZIZIII",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIZIIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIZIZII",
"IIIIIZZI",
"ZIIIIZII",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZI... | [
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
] | 0.356304 | [
-0.5111356393913317,
2.0500764337575505e-8,
0.672600721569824
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 95 |
918d0720354f72593c99e149eea5ed01 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [100, 70], "expectation_value": -5.49646409782871, "params": null, "bitstrings": ["0011011", "0111001"], "total_optimization_steps": 27, "probabilities": [0.0663487102747117, 0.9303659638128935], "optimization_time": 23.61222219467163} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -2.0 * Z(3) + -1.5 * Z(6) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011011", "0111001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.11100341472157638) q[0];
ry(-0.11280279679784128) q[1];
ry(-0.20974393272431618) q[2];
ry(-0.1349667402194078) q[3];
ry(0.3439396431740829) q[4];
ry(0.530047394115224) q[5];
ry(0.3471431189969528) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1.5,
-1.5,
-1,
0
] | 0.970894 | [
-0.11100341472157638,
-0.11280279679784128,
-0.20974393272431618,
-0.1349667402194078,
0.3439396431740829,
0.530047394115224,
0.3471431189969528,
-0.015116441477203271,
-0.03682652652668659,
0.13420639771524737,
-0.3947322486300181,
0.9588753644970154,
1.1356833754499724,
-0.40692746001699... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 39 |
c0298473ff578e743a7bebe70d7bc35e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [17, 25], "expectation_value": -2.3144491080260696, "params": [0.1947, 0.0439, 0.1986, 0.035300000000000005, 0.0025, -0.1489, -0.0036000000000000003, -0.1615, 0.2024, 0.0118, 0.1978, 0.0011, 0.2011, 0.055200000000000006, 0.19240000000000002, 0.0367, -0.00030000000000000003, -0.1568, 0.0049, -0.1489, -0.00290... | 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(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(3) @ Z(4) @ Z(6)) ... | 5 | 7 | 4 | {"smallest_eigenvalues": [-3.75, -3.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.75, "smallest_bitstrings": ["1100110", "0101110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.381653596326513) q[0];
rz(-1.1527566986494673) q[0];
rx(0.09236593635847296) q[1];
rz(1.013468115485601) q[1];
cx q[1], q[0];
rz(0.33730173307404715) q[0];
cx q[1], q[0];
rx(0.38144026620223603) q[0];
rz(0.06407533935437126) q[0];
rx(0.09236593635847296) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"ZIZZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.75,
0,
-0.25,
-0.75,
-0.75,
0
] | 0.972467 | [
-0.381653596326513,
-0.8154549655754202,
0.09236593635847296,
1.013468115485601,
0.22169867108911415,
0.4340847686313679,
2.045458072876067,
0.280817696519691,
-0.06357938326517396,
1.2001498857117454,
0.022901920759747618,
1.6472374422907472,
2.094650133142965,
-0.25889317790714383,
-0.... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 32 |
b225dc27587691a09940c252e8d9e2d6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [74, 106], "expectation_value": -3.5307829967171402, "params": [-0.0023, 0.0027, 1.6044, 0.0098, 1.5993000000000002, 0.0019, 0.12050000000000001, 0.0038, 1.6032000000000002, 0.0068000000000000005, 0.377, 0.009600000000000001, 1.6131, 0.01, 0.0013000000000000002, 0.0005, 0.0033, 0.005, 0.0017000000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + 0.0 * Z(6) + -1.5 * Z(7) + -0.5 * Z(... | 3 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10010101", "10001101"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10078836840969985) q[0];
rz(-0.6063081167241435) q[0];
rx(-2.9953676578084143) q[1];
rz(-0.7513712944965469) q[1];
rx(2.8532691206328256) q[2];
rz(-0.20853006766724302) q[2];
rx(0.2934424509461423) q[3];
rz(0.3883765415771743) q[3];
rx(2.858283094094016) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IIZIZIII",
"IIZIIZII",
"IIIZZIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
0,
-1.5,
-0.5,
-1,
-0.5
] | 0.971994 | [
-0.10078836840969985,
-0.46905078319637067,
3.2878176493711724,
-0.6942721923151884,
2.8532691206328256,
-0.04991861866356362,
0.2934424509461423,
0.11716376984017424,
2.858283094094016,
0.05348252620959204,
-0.2105609445328261,
0.07059903367549727,
2.775678194820526,
0.03470956295172528,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 15 |
-1317166650248583423 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3], [1, 3, 7], [3, 6], [1, 4], [5, 7]]} | {"states": [84, 212], "expectation_value": -2.0286777389998143, "params": null, "bitstrings": ["10101011", "00101011"], "total_optimization_steps": 51, "probabilities": [0.1200330488139567, 0.5962702858353408], "optimization_time": 70.8341736793518} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["11000110", "01100110", "00101011", "00011100", "10001011"], "largest_eigenvalue": ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(-0.3957285407581258) q[2];
cx q[0], q[2];
ry(0.3957285407581258) q[2];
cx q[0], q[2];
ry(-0.2555620811719806) q[0];
cx q[2], q[0];
ry(0.2555620811719806) q[0];
cx q[2], q[0];
ry(0.556239269921246) q[0];
ry(-0.14128864547144013) q[2];
h q[3];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2292) 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[... | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IZIIZIII",
"IIIZIIZI",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.33333333333333326,
0.16666666666666663,
0.16666666666666663,
0,
0,
0
] | 0.971023 | [
1.5001300946466947,
-1.6591525676803565,
-0.9653700150668145,
0.8671259747829921,
-0.9819044514033821,
0.7713464417043342,
-0.5518018380995925,
0.4687320202817268,
-0.28428085783588886,
0.5920880769449381,
-0.46235107008681225,
-0.32598816818127874,
0.07648558295980182,
0.13941483378173297... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 15 |
047a6db213ec2347412434e39dcab446 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [250, 249], "expectation_value": -9.068318980557184, "params": null, "bitstrings": ["11100000101", "11100000110"], "total_optimization_steps": 100, "probabilities": [0.12394866297169427, 0.7185965718646129], "optimization_time": 330.56320428848267} | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.7895976344915955) q[0];
h q[1];
ry(-0.7810861968429474) q[1];
h q[2];
h q[3];
ry(1.6087583371568581) q[3];
h q[4];
ry(1.6087583371568581) q[4];
cx q[4], q[1];
ry(0.7810861968429474) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.7895976344915955) q[0];
cx q[4],... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
1,
0.5,
-1,
-1,
0.5,
-1,
-1,
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,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.3333333333333333,
1,
-2.5,
-2.5,
2.5,
2.5,
1.5,
1.5,
1.5,
1.5,
-1,
... | 0.97411 | [
1.6087583371568581,
-1.5621723936858949,
-1.579195268983191,
-1.7000663403512135,
1.0380739879293168,
0.7350162679663793,
1.5754527001879863,
-0.7775594481828644,
-1.3800772367519494,
0.28813208000335316,
-0.7211051201233013,
1.3146153603862532,
-0.355182142317478,
-0.2241765857557586,
0... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -9.333333333333332,
"target_ratio": 0.97,
"target_value": -9.053333333333333
} | 5 |
b3430a7a5a7846c97441f35820d47c84 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 97], "expectation_value": -5.071943097586519, "params": null, "bitstrings": ["1011110", "0011110"], "total_optimization_steps": 38, "probabilities": [0.13262953598809551, 0.6775037254021123], "optimization_time": 32.65999889373779} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-1.108879766134531) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.3516677727460137) q[2];
h q[3];
ry(-1.593249089494895) q[3];
h q[4];
ry(-0.3516677727460137) q[4];
cx q[1], q[4];
ry(0.3516677727460137) q[4];
cx q[1], q[4];
ry(1.2846215168941915) q[1];
ry(-0.686288719035... | 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", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"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,
-1.5,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.975713 | [
-1.593249089494895,
-0.7610973356940154,
-0.7033355454920274,
1.1866022252764412,
-0.43584830422961574,
0.19603858323550014,
0.3391240726814657,
-0.7546312527850684,
-0.5008808296114101,
0.5983615500672997,
1.8625187327051302,
-0.365480050857801,
-0.07502380661129479,
-0.03747054021570255,... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
b0dd1050887f092ff1c439d2cb12f6fe | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [0, 1], "expectation_value": -9.374142178694552, "params": [0.0035, 0.44370000000000004, 0.0027, 0.5860000000000001, 0.0028, 0.5937, -0.0025, 0.5945, 0.0025, 0.5999, 0.0023, 0.6059, 0.0027, -0.5891000000000001, 0.8077000000000001, 0.0044, 0.003, 0.0012000000000000001, 0.0027, 0.0032, 0.0028, 0.0056, -0.0025,... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02787926834651001) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.24392621843085915) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(0.5363659672322102) q[6];
cx q[1], q[6];
cx q[5], q[6];
rz(0.027879268346510... | OPENQASM 3.0;
include "stdgates.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",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
-1,
-0.75,
-1.25,
-1,
-0.5,
2,
-0.25,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.25,
-1.25,
-0.25,
1.5,
-0.25,
1.5,
-0.5
] | 0.843743 | [
0.02787926834651001,
0.24392621843085915,
0.5363659672322102,
0.060809672220954014,
-0.33653079246115875,
0.7872732637562534,
2.18834440632333,
-0.751538289689594,
1.563181975540617,
0.06826669057277454,
0.3961428165268017,
1.040659004519177,
0.05826405621687344,
-0.564036277934697,
1.09... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 500 |
3531386beba6b0774804490460b57cef | 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": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "s... | {"states": [257, 1], "expectation_value": -19.913708566016542, "params": null, "bitstrings": ["011111110", "111111110"], "total_optimization_steps": 36, "probabilities": [0.04673220772743421, 0.9097832282469951], "optimization_time": 47.35063409805298} | -1.0 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.22395844909424942) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.4594487259099615) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.22395844909424942) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.5726501004324798) q[4];
cx ... | 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(1.5709) 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... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"... | [
-1,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-1,
-0.75,
-1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
4,
-1,
-0.75,
-1.5,
-0.5,
-0.25,
1,
-0.25,
-0.5,
-2,
-0.25,
3,
-0.25
] | 0.482113 | [
-0.22395844909424942,
-0.4594487259099615,
-0.5726501004324798,
-0.24342401502853306,
-0.579388992496363,
0.231586207665915,
-0.483314810268151,
-0.47682133312067565,
-1.4192722674742317,
1.471494663072129,
-1.2139952039638644
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 249 |
e0e7442cfd5f4a9b9e7fac5624eafbe7 | 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": [2627, 2595], "expectation_value": -124.65817069387865, "params": [1.5755000000000001, -0.0023, -0.0025, 2.0676, 1.7557, 0.0091, -0.0024000000000000002, 1.5849, 0.0031000000000000003, -0.6638000000000001, 1.6927, -0.4047, -1.5552000000000001, 0.4904, -0.0039000000000000003, 0.5383, 0.0029000000000000002, 0.5... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(4) @ Z(11)) + -6.5 * Z(1) + 7.0 * Z(0) + 5.5 * Z(2) + 3.5 * Z(3) + 5.0 * Z(5) + 1.0 * Z(6) + -7.0 * Z(8) + 1... | 16 | 12 | 2 | {"smallest_eigenvalues": [-128.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.5, "smallest_bitstrings": ["010111011100"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.6628676551738433) q[0];
ry(-0.1997490835406317) q[1];
ry(1.8490598670289216) q[2];
ry(0.10386550899819519) q[3];
ry(0.07004704259347458) q[4];
ry(1.1208615553458785) q[5];
ry(2.333648428626797) q[6];
ry(-0.0647141442712596) q[7];
ry(-0.0043551728832047845) 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, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIZIIZII",
"IIIIIZZIIIII",
"IIIZIIIIIIIZ",
"IZIIIIIIZIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIZIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIZIIIIII",
"IIIZIIIIIIII",
"IZIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-6.5,
7,
5.5,
3.5,
5,
1,
-7,
15,
1,
14.5,
-6.5,
-11
] | 0.973467 | [
1.6628676551738433,
-0.1997490835406317,
1.8490598670289216,
0.10386550899819519,
0.07004704259347458,
1.1208615553458785,
2.333648428626797,
-0.0647141442712596,
-0.0043551728832047845,
0.05222029367368837,
1.7650230413106838,
0.07495314357748387,
1.4620565254062143,
1.1656570897850826,
... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -128.5,
"target_ratio": 0.97,
"target_value": -124.645
} | 23 |
7c13ad0365481b8f4c94fe0692e944b8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 5}, {... | {"states": [218, 122], "expectation_value": -17.717184423294096, "params": [[-0.038900000000000004, 0.0047], [0.0814, 0.0737]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011546588799732029, 0.015302838061790943], "optimization_time": 3.1111042499542236} | 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(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 9.5 * Z(0) + 7.5 * Z(2) + 17.0 * Z(3) + 11... | 1 | 8 | 2 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 122.5} | 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];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5707962879127242) q[0];
h q[0];
rx(1.1096276484305554e-07) q[1];
h q[1];
rx(0.2818339182180038) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10.5,
9.5,
7.5,
17,
11,
1,
12.5,
5.5
] | 0.153846 | [
1.5707962879127242,
1.1096276484305554e-7,
0.2818339182180038,
0.29522327631042783,
1.57079626082328,
-0.35558512854723284,
-0.3488988066315334,
1.570796359971608,
-0.01470265159093928,
-0.2818338345430893,
-1.5707961662067849,
-0.2698570203604268,
0.6860075752835871,
0.4982873472655991,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 394 |
ac36c5a153720f2afd43ce774542e80a | 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": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [29, 31], "expectation_value": -4.372957453020678, "params": null, "bitstrings": ["100010", "100000"], "total_optimization_steps": 49, "probabilities": [0.2979775772741875, 0.44049318025090617], "optimization_time": 42.93964123725891} | -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... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"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 |
a6890fa8abaf57f3780eb47e6c903e55 | 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": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [36, 164], "expectation_value": -6.993129261240428, "params": [[-0.012100000000000001, 0.39880000000000004, 0.0799, 0.405, -0.0074, 0.0006000000000000001, 0.40800000000000003, 0.1786, 0.37410000000000004], [-0.0155, 0.4016, 0.067, 0.39990000000000003, -0.006500000000000001, -0.0002, 0.40280000000000005, 0.11... | 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(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.5, "smallest_bitstrings": ["100111101", "111011010", "101010111", "000111111", "101011011"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.0760235035353177) q[0];
ry(-0.12434575441333086) q[1];
ry(-0.06043626113900112) q[2];
ry(0.7081489503408587) q[3];
ry(-0.20518061133194668) q[4];
ry(0.11308867389621291) q[5];
ry(0.5767750858537732) q[6];
ry(-0.10537848335635833) q[7];
ry(0.890531365958018) q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIZIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIZIII",
"... | [
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,
-1.5,
-2,
-2,
-2,
-2,
-2.5,
-0.5,
-1.5,
-1.5
] | 0.975146 | [
0.0760235035353177,
-0.12434575441333086,
-0.06043626113900112,
0.7081489503408587,
-0.20518061133194668,
0.11308867389621291,
0.5767750858537732,
-0.10537848335635833,
0.890531365958018,
-0.18434618009920387,
-0.28640722061123364,
0.03181092232998065,
0.6270975237023502,
0.029118990964800... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 17 |
2500973695191569336 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 5], [2, 3, 4, 6], [0, 2], [0, 1, 4, 6], [0, 3, 5, 6], [1, 3, 6], [2, 3, 5, 6]]} | {"states": [23, 55], "expectation_value": -1.5883348727299886, "params": [0.0645, -0.8451000000000001, 0.061000000000000006, 0.0027, 0.8047000000000001, -0.4098, 0.7993, 0.0039000000000000003, 1.3904, 0.0014, 1.3772, 0.0037, 0.5867, -0.8270000000000001, 0.5851000000000001, 0.0047, 1.5686, -0.0021000000000000003, 1.5672... | 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.416666... | 7 | 7 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666665, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-1.2869679026069946e-08) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-5.688353393205685e-08) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-5.688353393205685e-08) q[4];
cx q[1], q[4];
h q[5];
cx q[3], q[5];
rz(-1.28696790260... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"ZIIIZII",
"IIIZIIZ",
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"III... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333... | 0.801035 | [
-1.2869679026069946e-8,
-5.688353393205685e-8,
1.5396443528509457e-8,
-1.5707961730767346,
-1.5707962397632427,
-3.1776263445869945e-8,
-1.570796415917025,
0.8963245154299084
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 188 |
-6883076911453286230 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 2, 3], [10, 2, 5], [11, 4], [0, 10], [2, 11], [8, 11], [9, 4], [1, 6], [3, 7]]} | {"states": [859, 857], "expectation_value": -3.15265637243052, "params": [[[1.5726, 1.5728], [-1.5749, 1.5731000000000002], [1.5092, 1.5726], [1.5501, -0.9836], [1.5730000000000002, 1.5730000000000002], [1.5731000000000002, 1.5725], [1.5728, 1.5677], [1.5737, 1.5678], [1.5731000000000002, -0.7156], [1.5734000000000001,... | 0.16666666666666666 * (Z(11) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(11)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-4.166666666666666, -4.166666666666666, -4.166666666666666, -4.166666666666666, -4.166666666666666, -4.166666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.8333333333333335, "smallest_bitstrings": ["100100011101", "011100000101", "001100001101", "100010101110", "11... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5108554944630532) q[0];
ry(-1.5278061720172693) q[1];
ry(1.4776966921743993) q[2];
ry(1.4957718873149604) q[3];
ry(1.6800846881764815) q[4];
ry(1.6506242210052917) q[5];
ry(1.5401335580853683) q[6];
ry(1.5223353378978837) q[7];
ry(1.6506242210052917) q[8];
ry(1.56... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZIIII",
"IIIIIIZZIIII",
"ZIIIIIZIIIII",
"IIIIIIIZIZII",
"IIIIZIIZIIII",
"IIIIZIIIIZII",
"IIIIIIIZZIII",
"ZIIIIZIIIIII",
"IIIIIZIIZIII",
"IIIIIIIIIZIZ",
"IZIIIIIIZIII",
"IIIZIIIIIIZI",
"IIZIIIZIIIII",
"IIIIIIIZIIII",
"ZIIIIIIIIIII",
"IIIIIIZIIIII",
"IIIIIIIIIZII",
"IIIIZIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.33333333333333326,
0.16666666666666663,
0.16666666666666663,
0.16666666666666663,
0.16666666666666666,
0,
0,
0,
... | 0.975022 | [
1.5108554944630532,
-1.5278061720172693,
1.4776966921743993,
1.4957718873149604,
1.6800846881764815,
1.6506242210052917,
1.5401335580853683,
1.5223353378978837,
1.5693288498259126,
1.650082925614775,
-1.4512366897422622,
1.5161237840046309,
1.5208040536186178,
1.6629552150572617,
-1.6502... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -4.166666666666666,
"target_ratio": 0.97,
"target_value": -4.041666666666666
} | 30 |
082b6c86bc8d553008a81e548bf0a65e | 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": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [1, 3], "expectation_value": -13.011930750254537, "params": [0.008, -0.3307, 0.006500000000000001, -0.35350000000000004, -0.006, -0.3239, -0.0031000000000000003, -0.37070000000000003, -0.0162, -0.3125, 0.0032, -0.3561, 0.0091, -0.23870000000000002, -0.0016, -0.22210000000000002, -0.006900000000000001, -0.294... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 5 | 9 | 4 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.01995827998848688) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.0011424779715897004) q[3];
cx q[5], q[3];
h q[6];
h q[7];
cx q[2], q[7];
rz(0.0604644772113118) q[7];
cx q[2], q[7];
cx q[0], q[7];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IIIIZIZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"... | [
-0.75,
-0.25,
-1.25,
-2,
-0.25,
-1.75,
-0.5,
-0.25,
-1.5,
-1.25,
-1.25,
-0.75,
2.25,
-1.75,
-0.25,
-3.25,
-0.25,
1,
1,
2.25,
-2.75,
2,
-0.25,
0.25
] | 0.967362 | [
0.01995827998848688,
0.0604644772113118,
0.009467678937415125,
0.0034315551282985113,
-0.020265119812155508,
-0.045284364355096626,
0.0011424779715897004,
-0.044087738298219936,
-1.50226119903777,
-1.4628010130334417,
-0.8017292774672112,
1.5766066058178019,
0.13288720752041047,
-1.4525988... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
30e28b56cad01a233ddf0894e9b7eaa8 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [110, 158], "expectation_value": -0.4734517988239697, "params": [[0.0611, 0.066, 0.06760000000000001, 0.0784], [-0.055200000000000006, -0.059000000000000004, -0.0541, -0.0682]], "bitstrings": ["10010001", "01100001"], "total_optimization_steps": 10, "probabilities": [0.008580263271118424, 0.00858026327111843... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001010", "10010001", "01100001", "01001100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIZIIZIZ",
"IIIIZIZI",
"IZIIIIZI",
"IZIIZIII",
"IZIIZIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"ZZZIIIII",
"ZIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.25,
0,
0,
-0.25,
0,
0,
-0.25
] | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
1600da48c768639b2cb0d1bea5b2382e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 253], "expectation_value": -3.5178746444887268, "params": [[[-0.0047, 0.6005], [-0.4138, 0.0057], [-0.0008, 0.0041], [0.0018000000000000002, 0.0016], [0.0022, 0.001], [0.0022, -0.003], [0.0033, 0.0016], [-0.0018000000000000002, -0.18030000000000002], [-0.004, 0.0026000000000000003]], [[0.0032, 0.0], [-0.... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(7)... | 15 | 9 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000000", "100000010", "100000110", "100010110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.038072023806543384) q[0];
ry(-1.4527524474718614) q[1];
ry(-0.032233288270160754) q[2];
ry(-0.0832943436119534) q[3];
ry(-0.11874845093962502) q[4];
ry(-0.10854964528173822) q[5];
ry(0.0772935131286506) q[6];
ry(-0.16161809526456616) q[7];
ry(-0.011203197392025162... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII"
] | [
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
0,
-0.5,
0.75
] | 0.970487 | [
-0.038072023806543384,
-1.4527524474718614,
-0.032233288270160754,
-0.0832943436119534,
-0.11874845093962502,
-0.10854964528173822,
0.0772935131286506,
-0.16161809526456616,
-0.011203197392025162,
0.07469616500222398,
1.832898403992749,
1.3201883856362548,
-0.04354490294058532,
0.055636690... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 27 |
-6632939688479136457 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [1, 2], [0, 4], [2, 4], [2, 5], [1, 3]]} | {"states": [49, 56], "expectation_value": -1.792622467875188, "params": null, "bitstrings": ["001110", "000111"], "total_optimization_steps": 34, "probabilities": [0.06293656459290806, 0.7573817595366475], "optimization_time": 21.334616661071777} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "110001", "101100", "010011", "001110", "000111"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(0.7107702699467464) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.7107702699467464) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(0.7107702699467464) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.7107702699467464) q[3];
cx q[1], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IZIIZI",
"IZIZII",
"IIIZZI",
"IZIIIZ",
"ZIIZII",
"IIZIZI",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.580814 | [
0.7107702699467464,
4.626112587030544e-8,
-0.7170230746314248
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 98 |
-16607058486848771 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 5, 7, 8], [1, 3, 6, 7], [4, 6]]} | {"states": [250, 442], "expectation_value": -0.6923665259734118, "params": [[1.1342], [-0.4123]], "bitstrings": ["100000101", "001000101"], "total_optimization_steps": 120, "probabilities": [0.007695940881595716, 0.0076959408815957175], "optimization_time": 10.245973348617554} | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(0)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.023809523809523808 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.0238095... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.9404761904761907], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9404761904761905, "smallest_bitstrings": ["001000101"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10573787061161595) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.10573787061161595) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.10573787061161595) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.3500988763163957) q[3];
cx q[1], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"... | [
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.023809523809523808,
0.1071... | 0.865403 | [
0.10573787061161595,
0.3500988763163957,
0.07176791105146328,
1.554938403252901,
0.7957809339580436,
0.7446042998650665,
0.34246015637474303,
-0.3409497019413476,
-0.8167003956155636
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -0.9404761904761907,
"target_ratio": 0.97,
"target_value": -0.9122619047619049
} | 203 |
495033866122047723 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 5, 6], [0, 2, 3, 4, 6], [0, 2, 4, 5], [3, 4, 7], [1, 2, 4], [1, 4, 5, 6, 7], [3, 4, 5], [0, 1, 2, 5], [1, 2, 5, 7], [0, 1, 3, 4, 6]]} | {"states": [175, 207], "expectation_value": -1.6099840667440068, "params": [[0.46090000000000003], [-0.4122]], "bitstrings": ["01010000", "00110000"], "total_optimization_steps": 50, "probabilities": [0.01741352644918218, 0.017747739718907193], "optimization_time": 2.4042015075683594} | 0.41666666666666663 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.3 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.35, "smallest_bitstrings": ["00110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-2.7269116250236403) q[0];
rz(-pi) q[0];
h q[1];
ry(1.3254121514398651) q[1];
h q[2];
ry(-0.5289927134987447) q[2];
h q[3];
ry(-0.3279650677153253) q[3];
h q[4];
ry(1.6176747798183946) q[4];
h q[5];
ry(0.8036709943004863) q[5];
cx q[5], q[2];
ry(0.5289927134987447) 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": []} | [
"IIIIIZZI",
"IIZIIZII",
"IIZIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZZIIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIZZII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIZII",
"ZIIIIIZ... | [
0.41666666666666663,
0.3333333333333333,
0.3,
0.13333333333333333,
0.18333333333333335,
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.16666666666666666,
0.1,
0.05,
0.05,
0.16666666666666666,
0.1,
0.1,
0.3,
0.26666666666666666,
0.3,
0.15000000000000002,
0.1833... | 0.980202 | [
1.6176747798183946,
1.3254121514398651,
0.8036709943004863,
-1.0579854269974893,
0.6605061245546695,
-0.594318180074087,
0.9712776380336796,
-0.6559301354306506,
0.3696753203901278,
-0.7092345297092427,
0.48970273344274673,
-0.31947597030843006,
0.6473237167112438,
-0.18797400879875903,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -2.3999999999999995,
"target_ratio": 0.97,
"target_value": -2.3279999999999994
} | 1 |
44bf747c04df002d53e645dfd7a3d1de | 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": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [44, 51], "expectation_value": -0.352040643179498, "params": [[0.0726, 0.07730000000000001], [-0.0627, -0.0704]], "bitstrings": ["1010011", "1001100"], "total_optimization_steps": 10, "probabilities": [0.010557487356278695, 0.011126271496458373], "optimization_time": 2.408498764038086} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.7680741930129031e-09) q[0];
cx q[1], q[0];
rz(-1.5707962938945503) q[1];
rx(1.5707963403823506) q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(1.7680741930129031e-09) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.7680741930129031e-09) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"ZIIIIIZ",
"IIIZZII",
"IZIZIII",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.640625 | [
1.7680741930129031e-9,
-1.5707962938945503,
1.570796218167446,
0.2526801700074642,
1.5707963403823508
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 152 |
b2a86e79e509d0d76748a475959a4d60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [117, 109], "expectation_value": -41.004218316278234, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.07928601898643785, 0.4494797943354079], "optimization_time": 165.80450463294983} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 2 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 145.0} | 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(0.10531842151091338) q[0];
cx q[3], q[0];
rz(0.4891930059834122) q[0];
rx(-0.0661317683158416) q[0];
cx q[3], q[1];
rz(0.10531842151091338) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.10531842151091338) q[2];
cx q[1], q[2];... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
0.5,
18.5,
5.5,
22,
15,
4.5,
13.5
] | 0.981939 | [
0.10531842151091338,
-0.9612079782757411,
0.4891930059834108,
-0.3889941233568148,
0.09888614070956181,
-0.06613176831584158,
-0.15982742550497311,
-0.9131467726130178,
-0.7744447103826919,
0.963045529704064,
-0.42018965464630975,
0.1277451781058455,
0.12286825244091745,
-0.142262780034014... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
9ddcebaaa376040d7f40e787f62c4ee2 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [170, 171], "expectation_value": -2.6338941366355533, "params": [[0.0025, 0.9974000000000001, -0.0122, 0.9857, 0.3612, 0.9975, -0.0339, 1.0038, 1.0054], [0.0026000000000000003, 0.9921000000000001, -0.0375, 0.9819, 0.29510000000000003, 0.9945, -0.009300000000000001, 0.451, 0.3682], [0.0023, 0.9921000000000001... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["111000100", "101001100", "101010100", "100110001", "101110000", "110000101"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.476920074921542) q[0];
ry(-0.09905821253851034) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.1065822105209677) q[2];
cx q[0], q[2];
ry(-0.09156363914389193) q[2];
cx q[0], q[2];
ry(0.12900370798255972) q[0];
ry(-0.0740965660231691) q[3];
rz(-pi) q[3];
ry(-3.0917... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIZZZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIIZZIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IZZIZIIII",
"ZIIIIIZII",
"IIZIIZIII",
"IIIZIIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIIIIZ",
"... | [
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,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
0,
-0.25,
-0.25,
0,
0.125,
-0.25,
0.125,
-0.125
] | 0.991048 | [
-1.686064933077053,
-1.4993209104329903,
-1.4612831858638395,
1.476920074921542,
1.5142431307198303,
-0.07083314981577636,
0.18312727828778386,
0.10531564353017844,
0.08798798608106306,
0.25800741596511945,
0.05516559235320829,
-0.05266815835640131,
-0.07499416518871704
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
3bff779ab60a2b0177277978029588c0 | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [5, 37], "expectation_value": -2.5163406932042656, "params": [0.003, 0.0027, 0.0025, 0.0031000000000000003, 0.7971, 0.7971, 0.561, 0.5641, 0.0011, 0.0028, 0.8077000000000001, 0.7997000000000001, 0.0021000000000000003, 0.0022, 0.8093, 0.8, -0.0027, 0.002, 0.558, 0.0059, 0.5645, 0.0077, -0.224, 0.0041, 0.2126,... | 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(2) @ Z(5) @ Z(4)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(7) @ Z(0)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(0) @ Z(1)) + -0.125 * (Z(0) @ Z(7) ... | 13 | 8 | 1 | {"smallest_eigenvalues": [-4.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.125, "smallest_bitstrings": ["11011010"], "largest_eigenvalue": 6.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.22044899700076415) q[0];
rz(0.06908410554944036) q[0];
ry(0.11417620532829008) q[1];
ry(1.6047493030352014) q[2];
ry(-0.09627982882664238) q[3];
ry(-0.3963806894209603) q[4];
ry(1.7740984150566173) q[5];
ry(0.3296706348980577) q[6];
ry(2.0290767720882203) q[7];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIZZIZII",
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"ZZIIIIII",
"IZIIIIZZ",
"ZIIIIIZZ",
"ZZIIIIIZ",
"ZZIIIIZI",
"ZZIIIIZZ",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIZIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZI... | [
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,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.625,
-0.25,
-0.25,
-0.75,
0,
-0.625,
0.125
] | 0.971642 | [
-0.22044899700076415,
0.11417620532829008,
1.6047493030352014,
-0.09627982882664238,
-0.3963806894209603,
1.7740984150566173,
0.3296706348980577,
2.0290767720882203,
0.13816821109888072,
1.0142330583096637,
0.3348110361173919,
0.5190291362555706,
-0.17054590237939377,
0.9577211558923205,
... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 21 |
-6656420279382884463 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 4, 6], [0, 2, 3, 5, 6, 7]]} | {"states": [244, 178], "expectation_value": -0.0038811226280964445, "params": [[-0.060000000000000005], [0.0703]], "bitstrings": ["00001011", "01001101"], "total_optimization_steps": 10, "probabilities": [0.003936986472004566, 0.003936990649294623], "optimization_time": 0.8712377548217773} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -0.39999999999999997, "smallest_bitstrings": ["11000001", "01000110", "00011100", "01001101", "00011001", "00101001", "01010001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.2007065623138935) q[0];
h q[1];
ry(-0.0841699835714678) q[1];
ry(-3.0572973385143034) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3055660418520223) q[3];
cx q[3], q[2];
ry(0.13695819230376208) q[2];
cx q[3], q[2];
ry(0.16832798680156164) q[3];
cx q[2], q[3];
ry(-0.168... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIII... | [
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.066666666666666... | 0.970097 | [
1.3055660418520223,
1.623459204023169,
1.0310752484252732,
1.2007065623138935,
-0.27391638460752415,
0.33665597360312327,
0.5822574976841177,
0.21912702124892416,
-0.19791812274704296,
0.02874247235742164,
-0.1683399671429356,
-0.16287940016666458,
-0.21942204205817753,
0.1308165313949447,... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -0.4,
"target_ratio": 0.97,
"target_value": -0.388
} | 32 |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [9, 1], "expectation_value": -0.4880637677793099, "params": [[0.0579, 0.0522, -0.0704], [-0.0594, -0.058600000000000006, 0.0145]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005693208740353101, 0.005770683402823657], "optimization_time": 4.726621866226196} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "11111100", "11110110", "11110100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.16999686101045597) q[0];
ry(-0.7461488452616151) q[1];
rz(-pi) q[1];
ry(-0.08098995602078439) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.8918758604400108) q[3];
h q[4];
h q[5];
ry(-0.6909274773558883) q[5];
h q[6];
ry(1.6029270172358627) q[6];
h q[7];
cx q[7], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
0.25,
0.75,
0.75,
0.25
] | 0.970267 | [
-0.33999372202091194,
1.3129654467744951,
1.6029270172358627,
-0.6590546223712845,
0.18968510787131154,
-0.5503415377524958,
-1.7837517208800215,
-1.3818549547117767,
-1.0868611186790245,
-0.44875350089838817,
-0.10942090189840499,
0.17912767502386534,
-0.8058905041901756,
-0.0868358831952... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 24 |
faf2b7fc4343189ac2e56cc09666a273 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [960, 963], "expectation_value": -16.83834171301484, "params": null, "bitstrings": ["0000111111", "0000111100"], "total_optimization_steps": 100, "probabilities": [0.12470579437527021, 0.44394921147559924], "optimization_time": 208.72844529151917} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["0000111100"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.7689013419582041) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7689013419582041) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.7689013419582041) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.31750430274430447) q[3];
cx q[1], q[3];
... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII"... | [
-2,
-2,
-2,
1,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
0.5,
0.5
] | 0.572819 | [
0.7689013419582041,
0.31750430274430447,
-0.22859977140858023,
1.3416691960488754,
1.0485734878963489
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 162 |
7964371843859667389 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 4, 5, 10, 12], [1, 2, 3, 5, 8], [0, 9, 2], [0, 2, 5, 6, 7, 8, 10, 11], [9, 3, 7], [1, 2, 3, 5, 7, 10, 12], [1, 5, 6, 8, 10, 12], [5, 6, 7, 9, 12]]} | {"states": [3310, 3566], "expectation_value": -1.6721299537347196, "params": [0.3255, 0.6503, 0.3301, 0.004, 1.4186, -0.0159, 1.1407, -0.0198, 1.5226000000000002, -0.0024000000000000002, 1.5291000000000001, 0.0022, 0.193, 0.7232000000000001, 0.1821, 0.6994, 0.8578, -0.116, 0.8607, 0.0094, 1.2981, 0.0112, 1.3968, -0.022... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.14047619047619048 * (Z(5) @ Z(1)) + 0.05119047619047619 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(4)) + 0.09047619047619047 * (Z(10) @ Z(1)) + 0.05119047619047619 * (Z(10) @ Z(0)) + 0.033333333333... | 8 | 13 | 1 | {"smallest_eigenvalues": [-1.8357142857142859, -1.8357142857142859, -1.8357142857142859, -1.8357142857142859, -1.8357142857142859, -1.8357142857142859], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.817857142857143, "smallest_bitstrings": ["0100000001110", "0000010001100", "1001001000001", "0100010001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.12178855120313434) q[0];
rz(2.322383667672466) q[0];
rx(1.5124283380809294) q[1];
rz(-0.08736951158363337) q[1];
cx q[1], q[0];
ry(0.1534298385780883) q[0];
cx q[1], q[0];
ry(-0.049719683008262634) q[0];
rz(-1.657613844567491) q[0];
rx(1.0584022994826106) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZZIIII",
"IIZIIIIIIIIZI",
"IIZIIIIIIIIIZ",
"IIZIIIIIZIIII",
"IIZIIIIZIIIII",
"ZIIIIIIIIIIZI",
"ZIIIIIIIIIIIZ",
"ZIIIIIIIZIIII",
"ZIIIIIIZIIIII",
"ZIZIIIIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZ... | [
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.14047619047619048,
0.05119047619047619,
0.03333333333333333,
0.09047619047619047,
0.05119047619047619,
0.03333333333333333,
0.10833333333333334,
0.09047619047619047,
0.03333333333333333,
0.03333333333333333,
0.140476190476190... | 0.972627 | [
0.12178855120313437,
0.7515873408775694,
1.5124283380809294,
-0.08736951158363337,
1.6257348521569916,
-0.011296097584933138,
0.05579303366241278,
0.8026120559221575,
1.0548655692760385,
-0.27189459344738975,
1.2164003660712144,
-0.010434070083167296,
1.2869074177913964,
-0.241397070270739... | {
"n_parameters": 64,
"n_qubits": 13,
"optimal_eigenvalue": -1.8357142857142859,
"target_ratio": 0.97,
"target_value": -1.7806428571428572
} | 12 |
-8086572058537082369 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [0, 1], [1, 7], [1, 5, 6], [4, 5, 6], [0, 3, 5], [0, 2, 4]]} | {"states": [173, 124], "expectation_value": -2.5323120649533823, "params": null, "bitstrings": ["01010010", "10000011"], "total_optimization_steps": 54, "probabilities": [0.030171862330001926, 0.8219482622641912], "optimization_time": 64.6616439819336} | 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["10000011"], "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];
h q[6];
h q[7];
cx q[7], q[3];
rz(0.8796703458535939) q[3];
cx q[7], q[3];
cx q[3], q[0];
rz(0.203115181912034) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.203115181912034) q[5];
cx q[3], q[5];
rz(0.20311518191203426) q[3];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"ZIIIZIII",
"IIIIZIIZ",
"ZIIIIIZI",
"IIIIIIZZ",
"IIZIZIII",
"IIZIIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIIZIIIZ",
"IIZZIIII",
"IZIZIIII",
"IIIIIZIZ",
"IIIZIZII",
"ZIIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"IIIIIZII"
] | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666663,
0.3333333333333... | 0.518989 | [
0.8796703458535939,
0.203115181912034,
0.5174918626909384,
-0.21258950362829274,
-0.8096882816574584
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 137 |
480a390c56e3e13e55537753f027750e | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [308, 316], "expectation_value": -4.814795048074311, "params": [1.7096, 0.0011, 0.0044, 0.0032, -0.003, 0.0048000000000000004, 1.7111, 0.0007, 1.7131, 0.0073, 1.6451, 0.0094, 1.7066000000000001, 0.01, -0.0031000000000000003, 0.0053, 0.0029000000000000002, 0.003, 0.0059, 0.0092, 0.0081, 0.007200000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.5 * ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["011000011"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.7169086482071072) q[0];
rz(0.10084273965407183) q[0];
ry(-0.1832974747182864) q[1];
rz(-0.18866433073282993) q[1];
cx q[1], q[0];
ry(1.3594863522830973) q[0];
rz(0.0024843832860715065) q[0];
ry(-0.6451360086711266) q[1];
rz(0.05328526243376945) q[1];
ry(0.212508482... | OPENQASM 3.0;
include "stdgates.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",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIZZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1,
-1.5,
-1.5,
0,
-1.5,
0
] | 0.97122 | [
1.7169086482071072,
0.10084273965407183,
-0.1832974747182864,
-0.18866433073282993,
0.2125084827400827,
-0.559154585026104,
-0.03986357810670305,
-0.14366835500663958,
0.08349420390120196,
-0.827689479309746,
-0.07321438944734746,
0.01500327680068525,
0.34475880620344895,
-0.28859251822792... | {
"n_parameters": 64,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 19 |
17cd9690776ef862a22ab9b1dedee537 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [69, 42], "expectation_value": -0.5929478292807779, "params": [[-0.0732, -0.0751], [0.0703, 0.0737]], "bitstrings": ["0111010", "1010101"], "total_optimization_steps": 10, "probabilities": [0.011378950135294143, 0.011383049860980465], "optimization_time": 3.194974899291992} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110100", "1101100", "1010101", "0110110", "0111010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5851367475001066) q[0];
rz(pi/2) q[0];
ry(1.321053727061239) q[1];
ry(0.12324610030584417) q[2];
ry(1.5162608346673625) q[3];
ry(0.042821038757284935) q[4];
ry(0.12531475925759072) q[5];
ry(1.9840397098463025) q[6];
ry(-0.2658856438314683) q[7];
ry(1.78718324224326... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-0.5,
0,
-0.5,
-1
] | 0.973317 | [
1.5851367475001066,
1.321053727061239,
0.12324610030584417,
1.5162608346673625,
0.042821038757284935,
0.12531475925759072,
1.9840397098463025,
-0.2658856438314683,
1.7871832422432674,
1.8665330599298229,
-0.8456814732957607,
-0.49332803036768214,
0.27302370500700174,
0.0860476850515173,
... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 17 |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [1, 3], "expectation_value": -4.124360376889934, "params": null, "bitstrings": ["1110", "1100"], "total_optimization_steps": 10, "probabilities": [0.4168911639926725, 0.42669893022981115], "optimization_time": 3.048551559448242} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13943302053146128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2546523334796689) q[2];
cx q[1], q[2];
rz(-0.7155720410694917) q[1];
rx(-1.7587368543198154) q[1];
rz(0.6317748164920753) q[2];
rx(-1.7587368543198154) q[2];
h q[3]... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-0.75,
1,
-1,
-1.75,
-0.25,
1,
1
] | 0.974967 | [
-0.13943302053146128,
0.6317748164920755,
-0.2546523334796689,
-0.7155720410694918,
-0.8847263429635749,
-1.7587368543198154,
-0.39840533455052923,
0.9596950419953695,
-0.3894973625686309,
-1.5007620154927859,
-0.8383337619275093,
-0.8965996704617766
] | {
"n_parameters": 12,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 48 |
3abcce9513e11040f35ea0404295b39b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [608, 610], "expectation_value": -7.533403608767577, "params": [[[3.1465, 0.0053], [0.0021000000000000003, 0.0067], [0.0024000000000000002, 0.0022], [3.1398, 0.0002], [3.1397, 0.0089], [-0.006500000000000001, 0.0089], [0.0028, 0.0077], [-0.003, 0.0039000000000000003], [1.6377000000000002, 0.0092], [0.0021000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1110001101", "0110011101", "0011111010", "0011110011", "1100011101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.929210382957025) q[0];
rz(0.06691902113687463) q[0];
rx(-0.12439666010772368) q[1];
rz(0.17401717041477816) q[1];
rx(0.07393924222834017) q[2];
rz(0.0993653672159859) q[2];
rx(3.1973924398701365) q[3];
rz(-0.05674885098681353) q[3];
rx(3.0385502895660617) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIZIIZII",
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IZIIIIIIZI",
"IIZIIIIZII",
"IIZIIIZIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIIIZIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIZIZIIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-2,
-1,
-1,
-1.5,
-1,
-2,
-1
] | 0.971986 | [
2.929210382957025,
0.06691902113687463,
-0.12439666010772368,
0.17401717041477816,
0.07393924222834017,
0.0993653672159859,
3.1973924398701365,
-0.05674885098681353,
3.0385502895660617,
-0.27603756321310996,
-0.0011226353926063193,
-0.009445066671250557,
-0.11402808252774821,
-0.0767237002... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
4551088094349489485 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 5], [2, 5, 6], [0, 3], [4, 6], [1, 7]]} | {"states": [172, 396], "expectation_value": -0.03808183210591839, "params": [[-0.06380000000000001], [0.0737]], "bitstrings": ["101010011", "001110011"], "total_optimization_steps": 10, "probabilities": [0.002102116242899509, 0.002102116242899509], "optimization_time": 2.040421485900879} | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(1)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.833333333333334, "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
ry(-0.31525370189979945) q[2];
h q[3];
ry(-0.46958268673186604) q[3];
cx q[0], q[3];
ry(0.46958268673186604) q[3];
cx q[0], q[3];
ry(0.9068597907647183) q[0];
ry(-0.5991314387331128) q[3];
h q[4];
ry(-0.46958268673186604) q[4];
h q[5];
ry(1.38387... | 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(x0) q[8];
cx q[1], q[8];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"IIZZIIIII",
"IIZIIIZII",
"IIIIIZIIZ",
"IIZIZIIII",
"IZIIIIIZI",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0
] | 0.971734 | [
1.3838719063246991,
-0.9391653734637321,
0.7581363965856922,
0.6195920694026291,
-0.573644055235248,
0.4208800235395571,
-0.45282507044507675,
0.5745354427241784,
-0.292612736576072,
-0.3194130980279768,
-0.6305074037995989,
0.28791779872125156,
0.214521342215946,
0.2909517565380996,
-0.... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 3 |
c508ed0753e7f28a56c3d421944e1b14 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [863, 991], "expectation_value": -11.924340570934502, "params": null, "bitstrings": ["0010100000", "0000100000"], "total_optimization_steps": 100, "probabilities": [0.10358538122493581, 0.39803051191696487], "optimization_time": 244.13204860687256} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(9)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(7) @ Z(6)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["1111100000", "0000100000"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.7291371562030355) q[0];
h q[1];
ry(0.7291371562030355) q[1];
h q[2];
ry(0.7291371562030355) q[2];
h q[3];
ry(0.7291371562030355) q[3];
h q[4];
cx q[4], q[2];
ry(-0.7291371562030355) q[2];
cx q[4], q[2];
cx q[2], q[1];
ry(-0.7291371562030355) q[1];
cx q[2],... | null | {"node": 3} | {"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[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"ZIIIZIIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII"... | [
-2.5,
-2.5,
-2.5,
-2,
0.5,
0.5,
0.5,
1,
-2.5,
-1.5,
-2.5,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
1,
-2,
1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.915952 | [
1.458274312406071,
1.3872352199077964,
0.43265572000725083,
1.7472751240308502,
2.460316084491704,
-1.6911549022642565,
1.3920584157237343,
-1.7964221369290723,
-0.13807442145023333,
1.4281463964483823,
0.6211818657583873,
0.02293687955143612,
-0.02160493637811021,
0.19460941767846418,
0... | {
"n_parameters": 76,
"n_qubits": 10,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
843c0b844102c976bf0e3bde4e8ae7cf | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [97, 21], "expectation_value": -0.1588191263175, "params": [[0.06620000000000001], [-0.0545]], "bitstrings": ["0011110", "1101010"], "total_optimization_steps": 10, "probabilities": [0.008681364881450724, 0.008681364881450729], "optimization_time": 1.5195975303649902} | 0.5 * (Z(0) @ 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(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101010", "0011110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.04289715695726991) q[0];
rz(pi/2) q[0];
ry(0.7107170319200843) q[1];
ry(0.4703766590927557) q[2];
ry(0.9227215368200531) q[3];
ry(0.7548038706134885) q[4];
ry(-0.2305965849039855) q[5];
ry(0.8749603382786761) q[6];
ry(-0.05789510687311766) q[7];
ry(1.1695928337305... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"IIIIZZI",
"IIZIIZI",
"IIIZZII",
"IIIZIZI",
"ZZIIIII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
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,
-0.5
] | 0.971348 | [
0.04289715695726991,
0.7107170319200843,
0.4703766590927557,
0.9227215368200531,
0.7548038706134885,
-0.2305965849039855,
0.8749603382786761,
-0.05789510687311766,
1.1695928337305748,
0.061895188952259525,
-0.25420448655296757,
-0.19184074027420744,
0.44211286759617985,
-0.1236053143222224... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 31 |
a2ddde559fc9aeb004a8b74765861122 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4095, 3839], "expectation_value": -18.017889105911756, "params": [[[0.0023, 3.1601000000000004], [0.0019, 0.0022], [0.0023, 0.002], [1.6094000000000002, -0.003], [0.0027, 0.003], [0.0033, -0.003], [0.0019, 0.0027], [0.0019, 0.0019], [-0.0033, 0.0026000000000000003], [0.0021000000000000003, 0.0027], [-0.0023... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * (Z(2) @ Z(11)) + -1.5 * (Z(2) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(7... | 15 | 12 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000100000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.002278445349340894) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.002278445349340894) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.4112629981250393) q[1];
rx(-1.5646991762460063) q[1];
rz(0.002278445349340894) q[2];
cx q[0], q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIZZIIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIIZIIIIII",
"IIIIIIZIIIII",
"IIZIIIIIIIII",
"IIIIZIIIIIII",
"IIIZIIIII... | [
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.801355 | [
0.002278445349340894,
-0.0019617786897399075,
1.41126299812504,
-1.5707962132154107,
-1.5646991762460063
] | {
"n_parameters": 5,
"n_qubits": 12,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 157 |
222da723e9a46931eb34c7c524cc180a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [1, 129], "expectation_value": -8.658012034481951, "params": null, "bitstrings": ["1111111110", "1101111110"], "total_optimization_steps": 33, "probabilities": [0.4065390134535898, 0.4225423324752114], "optimization_time": 56.998669385910034} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["1111111110", "1001111110", "1101111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.05022342547586546) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.08339430074625241) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.05022342547586546) q[1];
cx q[3], q[1];
rz(-0.05022342547586546) q[4];
c... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5681) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIZIIZIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIZZIIIII"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
1.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
0,
-0.25,
-0.75,
-1,
0.5,
0,
0.5,
0.25,
0.5,
0.25
] | 0.7072 | [
-0.05022342547586546,
0.08339430074625241,
0.001791086638290006,
-0.019628576339343166,
0.19616926085014433,
1.5705924336658776,
1.5708745075896196,
1.5658972216805378,
-1.5766364054168958
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 212 |
a093ae3716e2ae1185108c6b332a6413 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [7644, 7646], "expectation_value": -2.4514440244836706, "params": [[[0.1885, 0.0041, 0.007500000000000001, 0.0041], [1.4986000000000002, -0.0031000000000000003, 0.8269000000000001, 0.0025], [1.6126, 0.0038, 0.0004, 0.0038], [0.3851, 0.013800000000000002, 1.5874000000000001, 0.002], [0.0548, 0.0025, 0.0034000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(0) @ Z(6)) + -0.125 * (Z(5) @ Z(0) ... | 12 | 14 | 1 | {"smallest_eigenvalues": [-4.624999999999991, -4.624999999999991], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.624999999999986, "smallest_bitstrings": ["10001000100001", "01001010100000"], "largest_eigenvalue": 7.3750000000000275} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.4967469454978946) q[0];
rz(1.3096606184442559) q[0];
rx(3.0408501731801416) q[1];
rz(1.5898757871266582) q[1];
rx(0.061494094835849826) q[2];
rz(1.7814172691826364) q[2];
rx(-0.14738095186234665) q[3];
rz(1.0630242622970876) q[3];
rx(0.10418204075830796) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIZIZII",
"IIIIIIIIIZZIII",
"IIIIIIIIIZZZII",
"IIIIIIIIZIIIIZ",
"IIIIIIIZIIIIIZ",
"IIIIIIZIIIIIIZ",
"IIIIIIIZZIIIII",
"IIIIIIZIZIIIII",
"IIIIIIZZIIIIII",
"IIIIIIIZZIIIIZ",
"IIIIIIZIZIIIIZ",
"IIIIIIZZIIIIIZ",
"IIIIIIZZZIIIII",
"IIIIIIZZZIIIIZ"... | [
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,
-0.125,
-0.125... | 0.972786 | [
2.4967469454978946,
-0.2611357083506405,
3.0408501731801416,
0.019079460331761833,
0.06149409483584983,
0.21062094238773937,
-0.14738095186234665,
-0.5077720644978101,
0.10418204075830795,
0.3260157921510895,
-0.08139436078467233,
0.20851253582413565,
2.5562790191247777,
-0.058611197162751... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 11 |
1709095136500400550 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 7], [0, 1, 2, 3, 7, 8], [1, 2, 4, 5, 6, 7], [2, 5, 6, 7, 8], [1, 3, 4, 5, 7, 8], [0, 1, 3, 5, 6, 8], [0, 1, 2, 4], [0, 1, 2, 6], [0, 1, 4, 6, 7, 8], [0, 2, 5], [1, 2, 3, 6, 8]]} | {"states": [398, 430], "expectation_value": -2.038251104149462, "params": [[[3.1455, 0.004200000000000001], [3.1445000000000003, 0.007200000000000001], [0.8354, 0.0038], [1.5858, 0.0006000000000000001], [0.885, 0.0009000000000000001], [3.1401000000000003, 0.0053], [3.161, 0.006], [3.1455, 0.0008], [0.8822000000000001, ... | 0.15 * (Z(0) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(0)) + 0.15 * (Z(7) @ Z(3)) + 0.15 * (Z(7) @ Z(0)) + 0.18333333333333332 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(1) @ Z(3)) + 0.26666666666666666 * (Z(1) @ Z(0)) + 0.18333333333333332 * (Z(1) @ Z(4)) + 0.13333333333333333 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.3666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["001010001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-1.0236036826127845e-07) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(2.3724364850825747e-08) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-1.0916159888516549e-07) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"... | [
0.15,
0.11666666666666667,
0.19999999999999998,
0.15,
0.15,
0.18333333333333332,
0.15000000000000002,
0.26666666666666666,
0.18333333333333332,
0.13333333333333333,
0.08333333333333334,
0.3666666666666667,
0.11666666666666667,
0.11666666666666667,
0.2833333333333333,
0.1500000000000000... | 0.950704 | [
-1.0236036826127845e-7,
2.3724364850825747e-8,
-1.0916159888516549e-7,
8.489561085339698e-8,
-3.414592716202747e-8,
-2.15724127197028e-8,
2.8297431278999233e-8,
-7.915394938174769e-8,
2.2740749540557026e-8,
7.76863455054809e-8,
-2.0221689992069093e-8,
5.397208685795263e-8,
6.247081631941256e... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -2.3666666666666663,
"target_ratio": 0.97,
"target_value": -2.295666666666666
} | 500 |
-3108337598621329208 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 7], [0, 6, 7], [0, 1, 2, 3], [0, 1, 5, 6], [1, 4, 6], [2, 4, 6, 7], [8, 1, 4, 0], [8, 3, 5], [8, 1, 6], [0, 1, 3, 5], [8, 4, 5, 6]]} | {"states": [309, 373], "expectation_value": -1.2567994566015388, "params": [[0.2726], [-0.2701]], "bitstrings": ["011001010", "010001010"], "total_optimization_steps": 30, "probabilities": [0.0048358454716084884, 0.005042940521842082], "optimization_time": 5.3108484745025635} | 0.3333333333333333 * (Z(8) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["010001010"], "largest_eigenvalue": 10.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-4.921489441248336e-07) q[8];
cx q[1], q[8];
cx q[1], q[3];
rz(-0.018363994893425047) q[3];
cx q[1], q[3];
cx q[1], q[7];
rz(3.174297612433485e-05) q[7];
cx q[1], q[7];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIIZIZI",
"ZIIIIZIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIZIII",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIZIIZ",
"IZIIIIIIZ",
"IIZIIIIZI",
"ZIZIIIIII",
"IZZIIIIII",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IZIIIIZII",
"IIIIIIZIZ",
"IIZIIIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"... | [
0.3333333333333333,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.41666666666666663,
0.25,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.... | 0.770291 | [
-4.921489441248336e-7,
-0.018363994893425047,
0.00003174297612433485,
0.000044762330313770764,
1.2458680950564505,
1.5703782943705809,
-1.5707794068507943,
1.5707821507024051,
1.5708792756374663,
-1.5714987810821799,
-1.571453219013424
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 328 |
-2248723971481903880 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [8, 7], [1, 3], [1, 4], [8, 1], [0, 4], [2, 4], [8, 2], [8, 4], [5, 7], [0, 2], [2, 7], [0, 5], [3, 6], [8, 5], [0, 6]]} | {"states": [305, 291], "expectation_value": -0.6870937574939312, "params": [0.7072, -0.0006000000000000001, 0.7043, 0.0021000000000000003, 0.6996, 0.0056, 0.6863, 0.006900000000000001, 0.7002, 0.00030000000000000003, 0.6944, 0.008400000000000001, 0.7104, -0.0017000000000000001, 0.7000000000000001, 0.0035, 0.70700000000... | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["100100011", "011011100", "100110011", "011001100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.17165820847092023) q[0];
h q[1];
ry(1.6786884317070432) q[1];
h q[2];
ry(0.8543192689597565) q[2];
h q[3];
ry(-0.6387359049794779) q[3];
h q[4];
ry(-0.35365309455065286) q[4];
h q[5];
ry(0.7926312455272634) q[5];
h q[6];
cx q[6], q[0];
ry(0.171658208470920... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIZIIIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIZIIZIII",
"IIIIIZIZI",
"ZIIIZIIII",
"IIIIZIIZI",
"IIZIIIIIZ",
"IIIIZIIIZ",
"ZIIIIIZII",
"IZIIIIZII",
"IIIIZIZII",
"IIIIIIZIZ",
"ZIIZIIIII",
"IZIZIIIII",
"IIIZIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
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
] | 0.97324 | [
-0.34331641694184045,
1.4794951739908537,
1.5852624910545268,
-1.1235677200300813,
1.708638537919513,
-1.1268900880086754,
-1.2774718099589557,
1.6786884317070432,
-1.4714003620402256,
0.14212692150874168,
-0.20740490259761268,
-0.7073061891013057,
-0.8582344894966625,
-0.09128346971042797... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
317507523039185204 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [2, 4], [0, 2], [1, 3]]} | {"states": [6, 25], "expectation_value": -0.00037457567861680363, "params": [[0.0037], [-0.0128]], "bitstrings": ["11001", "00110"], "total_optimization_steps": 10, "probabilities": [0.031273414230033325, 0.031273414230033325], "optimization_time": 1.7030744552612305} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11001", "00110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
ry(-0.1579428967873937) q[2];
h q[3];
ry(-0.1579428967873937) q[3];
cx q[1], q[3];
ry(0.1579428967873937) q[3];
cx q[1], q[3];
ry(1.5323428759405628) q[1];
ry(-0.8572461348903994) q[3];
h q[4];
cx q[4], q[2];
ry(0.1579428967873937) q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIZZI",
"ZIZII",
"IIZIZ",
"IZIZI",
"IIZII",
"IIIZI",
"ZIIII",
"IIIIZ",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.974997 | [
-0.3158857935747874,
1.4054447620075534,
-0.6700122614056613,
-0.27064419528455796,
1.3562103577208842,
1.0980366839108961,
-0.7354335119681933,
0.2537962278660185,
0.1896933798424145,
0.5590634443260468,
-0.37446774696947593,
-0.4326739544073357,
0.034878142825561786,
-0.5952960190762147,... | {
"n_parameters": 21,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 12 |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -6.808944959273738, "params": null, "bitstrings": ["101010", "100010"], "total_optimization_steps": 26, "probabilities": [0.4264570687841214, 0.4267568391128236], "optimization_time": 18.112828016281128} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.3973990978795459) q[0];
h q[1];
ry(0.7210581234742061) q[1];
h q[2];
h q[3];
ry(1.508145619070655) q[3];
cx q[3], q[1];
ry(-0.7210581234742061) q[1];
cx q[3], q[1];
h q[4];
ry(-1.402367103280393) q[4];
h q[5];
cx q[5], q[0];
ry(0.3973990978795459) q[0];
cx... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.75,
-1,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.75,
-1,
-1.25,
1.25,
-0.25,
1.25,
-1.5,
0.5,
-1.25
] | 0.973609 | [
-1.402367103280393,
-0.7947981957590918,
1.226614773855988,
1.508145619070655,
1.4421162469484121,
-0.23582571520858747,
0.17368093824506411,
-0.2690797596273954,
0.1449349374403027,
-0.4615274142083343,
-0.04054061261302525,
-0.4541789105974401
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 11 |
89f9d52c565383e4dbce8a5723ffbf81 | 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": [1102, 1101], "expectation_value": -83.68258592007062, "params": [[[0.6989000000000001, 0.154], [-0.00030000000000000003, 0.10450000000000001], [0.1986, 0.0037], [0.0339, 0.0354], [0.7022, 0.5289], [-0.0801, 0.5650000000000001], [-0.2661, 0.18230000000000002], [0.092, 0.7041000000000001], [0.0887, 0.52670000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(10) @ Z(1)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 1.0 * Z(1) + 17.0 * Z(0) + 13.5 * Z(4) + -5.0 * Z(5) + 17.0 * Z(7) + 0.5 * ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01110110010"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.9412677031887948) q[0];
rz(pi/2) q[0];
ry(0.15946318632822984) q[1];
ry(0.11635803530746566) q[2];
ry(-0.042858719398179014) q[3];
ry(0.9041964884151457) q[4];
ry(0.012795641123970684) q[5];
ry(-0.08494765481926883) q[6];
ry(0.6154732474362147) q[7];
ry(1.00337049... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IZIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
17,
13.5,
-5,
17,
0.5,
12.5,
5,
12.5,
-10.5,
-12
] | 0.971251 | [
0.9412677031887948,
0.15946318632822984,
0.11635803530746566,
-0.042858719398179014,
0.9041964884151457,
0.012795641123970684,
-0.08494765481926883,
0.6154732474362147,
1.0033704915397226,
-0.16056493678807318,
0.762880967359321,
1.0521732076581927,
-0.45802956813882784,
-0.231188963188481... | {
"n_parameters": 81,
"n_qubits": 11,
"optimal_eigenvalue": -114.5,
"target_ratio": 0.97,
"target_value": -111.065
} | 19 |
59517442da8e0a3ab64f5fee3f7d688d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [0, 480], "expectation_value": -2.432014112506768, "params": [[0.0743], [-0.057600000000000005]], "bitstrings": ["111111111", "000011111"], "total_optimization_steps": 10, "probabilities": [0.003739057176753365, 0.003921270236188323], "optimization_time": 0.768284797668457} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -3.0 * (Z(7) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(4)) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000011111"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5289132824258034) q[0];
rz(pi/2) q[0];
ry(-0.08685366734447472) q[1];
ry(-0.009511607110669399) q[2];
ry(-0.009511607110669399) q[3];
ry(-0.009511607110669399) q[4];
ry(-0.08685366734447472) q[5];
ry(-0.009511607110669399) q[6];
ry(-0.0960827038480056) q[7];
ry(1.1... | 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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-2,
-2,
-2,
-2,
1,
-2,
-3,
-3,
-3,
1.5,
-2.5,
-3,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
2,
-2,
1
] | 0.970021 | [
1.5289132824258034,
-0.08685366734447472,
-0.009511607110669399,
-0.0960827038480056,
1.1010872746184788,
3.1334112654370703,
-2.3724530490738673,
2.6254126068807886,
3.820957082862928,
3.6191699494235943,
0.20962613802731536,
2.5447352711221978,
3.494042076896364,
1.1906845936347004,
1.... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 46 |
a6185cd97776fd1963001ba05fdb92ce | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -11.775970696279126, "params": [[[-0.0013000000000000002, -0.006], [-0.0028, -0.0002], [-0.002, -0.002], [-0.004, -0.0017000000000000001], [0.0039000000000000003, -0.0021000000000000003], [-0.0046, -0.0026000000000000003], [0.09720000000000001, 0.0032], [-0.0056, -0.001200000... | -0.25 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 1.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(8)) + -1.75 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(6) @... | 15 | 9 | 2 | {"smallest_eigenvalues": [-12.5, -12.5, -12.5, -12.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -11.5, "smallest_bitstrings": ["100000000", "111000000", "101000000", "111101000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(4.4139155609133516e-08) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(1.3992554106552276e-08) q[3];
cx q[4], q[3];
h q[5];
cx q[0], q[5];
rz(-3.5144736921663535e-08) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(-3.03554218812... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIIIZIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZIIIZIII",
"ZIZIIIIII",
"IIZIIIIZI",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"... | [
-0.25,
-1,
1.5,
-0.5,
-0.25,
-1.5,
-1.75,
-1,
-1.75,
-1.75,
-1,
-1.25,
-0.25,
-0.25,
-0.5,
2.25,
-0.25,
1.25,
-1,
-2.5,
-2,
1,
0.5,
0.75
] | 0.870817 | [
4.4139155609133516e-8,
-3.5144736921663535e-8,
-1.5707963502248932,
-3.035542188129331e-8,
1.3992554106552276e-8,
1.2603396563550403e-8,
6.4666144713160255e-9,
-1.5707962825349164,
-1.5707963200043866,
1.5707963706351964,
1.5707963989979759,
-1.5707961848761796,
-1.570796309723761,
-1.5707... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 388 |
36bc612e0322886e175cda5a18a8b6d9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [124, 122], "expectation_value": -28.134834674668095, "params": [[-0.027100000000000003, 0.0024000000000000002, 0.0007, -0.0011], [0.046200000000000005, 0.036500000000000005, 0.049600000000000005, 0.061200000000000004]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities":... | 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(0) @ Z(4)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 20.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.4699154184693155) q[0];
ry(3.0826136600441525) q[0];
rz(-1.6721583245249416) q[0];
rz(1.768561346757501) q[1];
ry(0.19489232234323764) q[1];
rz(-1.625383124529531) q[1];
rz(-0.034525061410001) q[2];
ry(2.896149928164988) q[2];
rz(2.9825217145872758) q[2];
rz(1.7899... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIIZZIII",
"IIIIZIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIIIZIZ",
"IIIIZZII",
"IZIZIIII",
"IIZIIIZI",
"IZZIIIII",
"ZIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
20.5,
21.5,
11,
18.5,
20.5,
6.5,
3.5,
-1.5
] | 0.978477 | [
1.1355541671065803,
-0.003527757263542479,
-0.02301594544299391,
0.18718982180600888,
1.243676337170396,
-0.14491975384512418,
1.1374533430750573,
-0.016779840620245096,
-0.10700372813155366,
0.7292634592177971,
-0.2737777493242993,
0.3168756280992109,
0.6444637049918576,
0.042181266961096... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -4.0625,
"target_ratio": 0.97,
"target_value": -3.940625
} | 13 |
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