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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b2c25a19a038d07471a5450910ba4971 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [12, 6], "expectation_value": -0.09779221681020439, "params": [[-0.0752], [0.0786]], "bitstrings": ["10011", "11001"], "total_optimization_steps": 10, "probabilities": [0.033852515215511005, 0.03385251521551101], "optimization_time": 0.8225200176239014} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZIZI",
"ZIZII",
"ZZIII",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-0.5,
-1
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
eedfffae46889ceabb09be93decddfde | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [117, 116], "expectation_value": -2.923597125300558, "params": [0.0001, 0.6259, 0.7163, 0.2745, 0.9921000000000001, -0.0001, 0.9987, 0.0032, 0.0032, -0.6583, 0.9113, -0.0054, 0.0044, 0.6416000000000001, 0.4665, 0.5345, 0.0034000000000000002, 0.6345000000000001, 0.7113, 0.37, 0.9939, 0.0013000000000000002, 1.... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["11001010", "01101010", "10011001", "10001110", "10001011"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZZII",
"IIZIZZII",
"IIZZIZII",
"IIZZZIII",
"IIZZZZII",
"IIIIIZIZ",
"IZIIZIII",
"ZZIIIIII",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"ZIZIIIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
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,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.25,
-0.125,
-0.125,
-0.625,
0.125,
-0.5,
-0.25
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
190b9e209adb3e0aadea8d3d462a7035 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [511, 509], "expectation_value": -16.64164062168813, "params": [[[0.0023, 2.6012], [-0.0031000000000000003, 0.0032], [0.0031000000000000003, 0.0029000000000000002], [-0.0022, -0.0026000000000000003], [0.0025, 0.0022], [0.002, 0.0024000000000000002], [-0.23450000000000001, 0.2412], [0.0029000000000000002, 1.5... | -2.0 * (Z(0) @ Z(3)) + -3.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000010", "000000111"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.7923214305407773) q[0];
h q[1];
h q[2];
ry(0.7923214305407773) q[2];
h q[3];
h q[4];
ry(0.7923214305407773) q[4];
cx q[3], q[4];
ry(-0.7923214305407773) q[4];
cx q[3], q[4];
cx q[4], q[0];
ry(-0.7923214305407773) q[0];
cx q[4], q[0];
ry(0.5252899965440843) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZIIZII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IIIIIIZII",
"... | [
-2,
-3,
-2.5,
-2.5,
0.5,
1,
1,
0.5,
-3,
-2,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1
] | 0.918673 | [
1.5846428610815546,
1.0505799930881685,
-0.3835547970213339,
-0.5164348656075911,
-0.02253242746201313,
0.9562947931592557,
1.1834556375084002,
0.04210632376861098,
-1.5846697689466158,
0.44340608144992966,
-0.026595686138688374,
-0.12046856616720286,
-0.09210938401826475,
0.27738958301632... | {
"n_parameters": 55,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
-3884692670228292197 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 5], [8, 7], [2, 7], [1, 4], [4, 6], [1, 3], [0, 7], [1, 2], [4, 7], [3, 4], [3, 6], [0, 5], [0, 6], [1, 5], [1, 6], [0, 4], [8, 5], [2, 4]]} | {"states": [78, 110], "expectation_value": -0.2986124624552821, "params": [0.6849000000000001, 0.0026000000000000003, 0.6743, 0.0067, 0.6982, 0.0033, 0.6936, 0.0076, 0.7071000000000001, 0.0049, 0.7005, 0.006, 0.7016, 0.0029000000000000002, 0.6992, 0.004, 0.7009000000000001, 0.0039000000000000003, 0.6940000000000001, 0.... | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["110010001", "001101110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.01738654883205852) q[0];
rz(1.7770572505233204) q[0];
rx(0.36207654510898235) q[1];
rz(1.5112837078450863) q[1];
rx(1.988169159857945) q[2];
rz(1.5448390016920808) q[2];
rx(1.0513440329382389) q[3];
rz(1.699977860753953) q[3];
rx(0.2059938541371691) q[4];
rz(1.616... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZZIIII",
"ZIIZIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IIIIZIZII",
"IZIIIIZII",
"IIIZIIIZI",
"IIIIZIIZI",
"IIIIIIZZI",
"IIZIZIIII",
"IIZIIIIZI",
"IIIIZZIII",
"IIIIIZIZI",
"IIZIIZIII",
"IIIZIIIIZ",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IIZIIIIIZ",
"IIIZIIIII",
"IIIIZIIII",
"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,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.975874 | [
-0.01738654883205852,
0.20626092372842383,
0.3620765451089823,
-0.059512618949809935,
1.9881691598579452,
-0.02595732510281534,
1.0513440329382389,
0.12918153395905646,
0.20599385413716909,
0.04526192141457271,
2.0557168138505038,
0.9596665732910635,
2.2232259846311466,
0.01944048467601350... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 113 |
dba6edf645eaaf1a507a17055e7164ef | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [22, 52], "expectation_value": -4.496397968981428, "params": null, "bitstrings": ["1101001", "1001011"], "total_optimization_steps": 29, "probabilities": [0.06635229782529356, 0.9303266216085108], "optimization_time": 22.35496497154236} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001011", "1101001", "0110101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.1859007606528923) q[0];
rz(0.1277309969404848) q[0];
ry(0.6373581281621916) q[1];
rz(0.40391422363380924) q[1];
cx q[1], q[0];
ry(-0.3494780626691644) q[0];
rz(0.23269403163719315) q[0];
ry(0.4001222395678607) q[1];
rz(-0.2582472936170673) q[1];
ry(-0.025818624057... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZIIIZI",
"ZZIIIII",
"IIIZZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5
] | 0.974622 | [
0.1859007606528923,
0.1277309969404848,
0.6373581281621916,
0.40391422363380924,
-0.025818624057445873,
-1.2207959965169293,
-0.01719509851365882,
0.6672042623739143,
0.3535564440001057,
-0.14448587096729418,
-0.14265470491067128,
0.11653979094772494,
-0.26099188668928275,
0.50058431121305... | {
"n_parameters": 107,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 118 |
6097cf775599b8557e7af2c2f7eca9b3 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [747, 683], "expectation_value": -0.9160209806863316, "params": [1.7064000000000001, 0.0039000000000000003, 0.8822000000000001, 0.0043, 1.7092, 0.0041, 1.4773, 0.0099, 1.7075, 0.0037, -0.0026000000000000003, 0.0079, 1.7089, 0.0092, 1.4758, 0.0011, 1.7094, 0.002, 1.6998, 0.0032, 0.0082, 0.0054, 0.0005, 0.0046... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(6) @ Z(7)) + 0.0625 * (Z(5) @ Z(4... | 18 | 10 | 1 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5625, "smallest_bitstrings": ["0101010100", "0011010010", "0100110100", "1000010110", "0101010001", "0111010000", "1100010100"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17349410514767027) q[0];
rz(0.08031441587324295) q[0];
rx(0.9169583174344421) q[1];
rz(0.06589120691276662) q[1];
rx(0.8485481032409208) q[2];
rz(-0.09356931584706807) q[2];
rx(0.01443467024941106) q[3];
rz(0.5895262852757224) q[3];
rx(-0.07012639157574801) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIZZIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZZIIZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIZZIIIII",
"IZIIZIIIII",
"ZIIIZIIIII",
"IZIZIIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,... | 0.972301 | [
-0.1734941051476703,
0.197823354069303,
0.9169583174344422,
-0.08214820098416294,
0.8485481032409208,
-0.06751398233261285,
0.014434670249411058,
0.4584043213272069,
-0.07012639157574801,
0.40963988139525653,
0.7041567545778239,
-0.2917325500719837,
0.5137890923078036,
-0.08890028440950837... | {
"n_parameters": 68,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [8, 42], "expectation_value": -3.7499716793445517, "params": null, "bitstrings": ["110111", "010101"], "total_optimization_steps": 22, "probabilities": [1.3890484210127375e-05, 0.999985814104641], "optimization_time": 20.109102487564087} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0,
0,
-0.75,
-0.75,
0,
-0.75
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
2708e64afd9eb73eacbeb72ef9f331f9 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4},... | {"states": [496, 2032], "expectation_value": -14.290937598411729, "params": null, "bitstrings": ["11000001111", "00000001111"], "total_optimization_steps": 100, "probabilities": [0.156095067914464, 0.5747969086821703], "optimization_time": 250.37662434577942} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(10)) + 0.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["00000001111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.712210288346674) q[0];
cx q[1], q[0];
rz(0.17289784145169573) q[0];
rx(0.9104856359575078) q[0];
rz(0.17289784145169573) q[1];
rx(0.9104856359575078) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.5255163802524241) q[2];
cx q[3], q[2];
h ... | null | {"node": 8} | {"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[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = m... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZIIZIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIII... | [
-1,
-2.5,
0.5,
-1.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
1
] | 0.541253 | [
1.712210288346674,
0.5255163802524241,
0.1728978414516952,
1.3305514112292647,
0.7621523795302186,
-0.1618890499997522,
0.9104856359575079
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 180 |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [238, 350], "expectation_value": -1.482078493375745, "params": [[0.0649, 0.0632, 0.0668, 0.0789], [-0.0651, -0.055, -0.054900000000000004, -0.068]], "bitstrings": ["100010001", "010100001"], "total_optimization_steps": 10, "probabilities": [0.0048005422658930885, 0.0048005422658930885], "optimization_time": ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZIIZIII",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
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,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
6272802841015324019 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4], [2, 3, 6], [3, 4, 5], [0, 1]]} | {"states": [47, 45], "expectation_value": -0.9106577757397295, "params": [[[0.47700000000000004, 0.006], [2.7037, 0.009600000000000001], [1.5012, 0.007], [2.6796, 0.0051], [2.3451, 0.0079], [1.5215, 0.0044], [2.6176, 0.006900000000000001]]], "bitstrings": ["1010000", "1010010"], "total_optimization_steps": 270, "probab... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.4999999999999996, "smallest_bitstrings": ["0101000", "1010010", "1000101"], "largest_eigenvalue": 3.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.2881550897283588) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.2881550897283588) q[4];
cx q[2], q[4];
cx q[1], q[4];
cx q[2], q[3];
rz(-0.2881550897283588) q[3];
cx q[2], q[3];
rz(-0.2881550897283588) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IIIZZII",
"IIZZIII",
"ZIIIZII",
"ZIIZIII",
"IZZIIII",
"IZIZIII",
"IIIIIZZ",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666663,
0.3333333333333333,
0.3333333333333333,
0.16666666666... | 0.696588 | [
-0.2881550897283588,
-1.496924056958604,
-0.8702342626006511,
0.27763552226674554,
0.8275140809017422
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 131 |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [3, 12], "expectation_value": -0.018096415705997126, "params": [[-0.0436], [0.0523]], "bitstrings": ["1100", "0011"], "total_optimization_steps": 10, "probabilities": [0.0642018573501036, 0.06420185735010361], "optimization_time": 0.5506319999694824} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
rz(x1) q[2];
rz(x2)... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
0
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
e592ce7faa840b360149bc8638b2e9c9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -34.79550792000907, "params": [[[-0.0091, 0.0026000000000000003], [-0.0029000000000000002, 0.0053], [0.0091, 0.0024000000000000002], [-0.0013000000000000002, 0.0025], [-0.0109, 0.0024000000000000002], [-0.006900000000000001, -0.0022], [0.003, 0.0023], [-0.0071, 0.0023], [0.... | -0.5 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(1)) + -1.75 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + -2.75 * (Z(9) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(9)) + -1.25 * (Z(6)... | 15 | 11 | 3 | {"smallest_eigenvalues": [-35.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 34.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.04392888876233193) q[0];
ry(-0.017859497813997757) q[1];
ry(-0.11643674680785449) q[2];
ry(-0.024207222425446352) q[3];
ry(0.11222092112919897) q[4];
ry(-0.08990565499827662) q[5];
ry(-0.014835137797377607) q[6];
ry(0.21634507276662202) q[7];
ry(0.139904933578344... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIZIIZIIIII",
"IIZIIIIIIZI",
"IIZIIIIZIII",
"IZIIIZIIIII",
"IZIIIIIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IZIIIIZIIII",
"IIIIZZIIIII",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IZIIZIIIIII",
"IIIIZIIIZII",
"IIIZIIIII... | [
-0.5,
-0.75,
-0.5,
-1.25,
-1.75,
-0.5,
-0.75,
-0.5,
-2.75,
0.75,
-0.75,
-1.75,
-1.25,
-1.25,
-1.75,
-2,
-1.25,
-0.75,
-1.75,
-1.75,
-1.75,
-3,
-0.75,
-0.75,
-1.75,
-1.25,
-2.25,
-0.5,
-0.25,
-2,
4.25,
-4.25,
-1.5,
-0.75,
-1.75,
3.5,
0,
3.25
] | 0.971193 | [
-0.04392888876233193,
-0.017859497813997757,
-0.11643674680785449,
-0.024207222425446352,
0.11222092112919897,
-0.08990565499827662,
-0.014835137797377607,
0.21634507276662202,
0.13990493357834405,
-0.025059884732109336,
1.7918694958233812,
0.008529869598211233,
0.014591085061521472,
-0.01... | {
"n_parameters": 35,
"n_qubits": 11,
"optimal_eigenvalue": -35.25,
"target_ratio": 0.97,
"target_value": -34.1925
} | 23 |
54a88e4bf9eba50970f4f6239c6ad816 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [111, 255], "expectation_value": -0.22049349733622065, "params": [[-0.0441, -0.0038, 0.047], [0.0632, 0.0313, -0.0297]], "bitstrings": ["110010000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0023562433997126745, 0.0023927661772826987], "optimization_time": 5.853492975234985} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "110010000", "111011110", "100010000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3793360292258723) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5201896407098358) q[4];
cx q[1], q[4];
rz(-0.5201896407098361) q[4];
rx(-0.7670228702555436) q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(-0.37933... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIIZZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZZIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.25,
-0.75,
0,
-0.25,
1.75,
-1,
-0.5,
0.75
] | 0.758041 | [
-0.3793360292258723,
-0.5201896407098358,
-0.38243772138101756,
0.3107532064049031,
-1.0193568042474141,
-0.10867563690290413,
1.2064359660083703,
-0.7234303447869407,
-0.7670228702555438,
0.8205618517798737,
0.9675232474993655,
0.5915471870437505,
-1.0311894401406954,
1.1821597172385196,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -1.2580048272006277, "params": [[-0.0755, -0.055600000000000004], [0.0772, 0.068]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.027645202054498268, 0.03069147811787762], "optimization_time": 2.583245038986206} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4280305935609409) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.586367014293522) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.586367014293522) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.4280305935609409... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
2,
-0.25,
-1,
-1.5,
-0.25,
0,
0.25,
0.75,
0.75
] | 0.573914 | [
-0.4280305935609409,
-0.586367014293522,
-0.5941967814927773,
0.9893183086380308,
-0.015078214242113929,
-0.4197495527732082,
-0.00750719659323729,
0.17460404483085798,
0.3564795609965509,
-0.9246051704663378
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 223 |
-3206499543478865120 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[4, 5, 9, 12, 13], [11, 3, 12, 13], [0, 8, 3, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 13], [0, 1, 4, 6, 9, 12, 13], [2, 3, 4, 8, 9, 10, 13], [0, 4, 5, 6, 8, 12, 13], [1, 3, 4, 5, 8, 10, 12, 13], [8, 11], [9, 10, 12, 1], [0, 3, 5, 6, 7, 10, 11, 13], [0... | {"states": [11883, 15979], "expectation_value": -2.663602550476766, "params": [1.5746, 1.5735000000000001, 0.8833000000000001, 0.8792000000000001, 1.8145, 1.3435000000000001, 1.8549, 1.3004, 1.1918, 1.1324, 0.3517, 0.22710000000000002, 0.2054, 0.1971, 1.899, 1.2431, 1.5616, 1.5586, 0.19440000000000002, 0.19410000000000... | 0.10075757575757577 * (Z(4) @ Z(5)) + 0.05 * (Z(9) @ Z(5)) + 0.09761904761904762 * (Z(9) @ Z(4)) + 0.09166666666666667 * (Z(12) @ Z(5)) + 0.11547619047619048 * (Z(12) @ Z(4)) + 0.15714285714285714 * (Z(12) @ Z(9)) + 0.11861471861471862 * (Z(13) @ Z(5)) + 0.16226551226551228 * (Z(13) @ Z(4)) + 0.09761904761904762 * (Z(1... | 13 | 14 | 1 | {"smallest_eigenvalues": [-2.804112554112494], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7859307359306045, "smallest_bitstrings": ["00000110010100"], "largest_eigenvalue": 12.50000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(1.5482038622921483) q[0];
rz(0.02746475910910844) q[0];
ry(1.1906045465867359) q[1];
ry(1.6169220202185182) q[2];
ry(1.8512835976092137) q[3];
ry(1.3351615641431258) q[4];
ry(0.22385062144000323) q[5];
ry(-0.13198104803997268) q[6];
ry(2.0624409026639636) q[7];
ry(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": []} | [
"IIIIIIIIZZIIII",
"IIIIZIIIZIIIII",
"IIIIZIIIIZIIII",
"IZIIIIIIZIIIII",
"IZIIIIIIIZIIII",
"IZIIZIIIIIIIII",
"ZIIIIIIIZIIIII",
"ZIIIIIIIIZIIII",
"ZIIIZIIIIIIIII",
"ZZIIIIIIIIIIII",
"IIZIIIIIZIIIII",
"IIZIIIIIIZIIII",
"IZZIIIIIIIIIII",
"ZIZIIIIIIIIIII",
"IIIIIIIIZIZIII",
"IIIIIIIIIZZIII"... | [
0.10075757575757577,
0.05,
0.09761904761904762,
0.09166666666666667,
0.11547619047619048,
0.15714285714285714,
0.11861471861471862,
0.16226551226551228,
0.09761904761904762,
0.1988095238095238,
0.017857142857142856,
0.013888888888888888,
0.10714285714285714,
0.11507936507936509,
0.044805... | 0.97122 | [
1.5482038622921483,
1.1906045465867359,
1.6169220202185182,
1.8512835976092137,
1.3351615641431258,
0.22385062144000323,
-0.13198104803997268,
2.0624409026639636,
1.6205755436252005,
-0.08414273622282153,
1.535112098794856,
0.036821876575272264,
1.5760294902193384,
1.37534225539185,
0.05... | {
"n_parameters": 55,
"n_qubits": 14,
"optimal_eigenvalue": -2.804112554112494,
"target_ratio": 0.97,
"target_value": -2.719989177489119
} | 10 |
06452936e8d3a7a39aff75e9a51ed743 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 8}, {"weight": 14, "source": 1, "target": 6}, {"weight":... | {"states": [980, 468], "expectation_value": -58.93227997517502, "params": [0.9969, 0.07010000000000001, 1.0012, 0.0036000000000000003, 1.0064, 0.0014, 0.9951000000000001, 0.005200000000000001, 0.9999, -0.0013000000000000002, 0.9959, 0.0019, 1.0026000000000002, 0.0099, 0.9948, 0.0, 1.0008000000000001, 0.0300000000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(5)) + 10.0 * Z(1) + 8.5 * Z(0) + 18.0 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.08392357999791314) q[0];
rz(0.22801537293469565) q[0];
rx(0.37779060948065735) q[1];
rz(-0.058323134483439926) q[1];
cx q[1], q[0];
rz(-0.012474008753986437) q[0];
cx q[1], q[0];
rz(-1.1828454883127475) q[0];
ry(0.052208986194362476) q[0];
rz(1.776184567088281) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
10,
8.5,
18,
19,
8,
-1,
2,
18.5,
4.5,
4.5
] | 0.971489 | [
-0.08392357999791314,
0.21554136418070918,
0.37779060948065735,
-0.058323134483439926,
0.5889970745017269,
-0.036589927644473774,
0.36219390380623295,
0.0077301463417728915,
0.052768123289392094,
0.33471951819911683,
0.6057456028461152,
0.052138411320119024,
0.1357400611052235,
0.363256882... | {
"n_parameters": 139,
"n_qubits": 10,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 14 |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [8, 14], "expectation_value": -2.4999718231256973, "params": null, "bitstrings": ["0111", "0001"], "total_optimization_steps": 16, "probabilities": [1.3834265383317198e-05, 0.9999858819924374], "optimization_time": 6.0240185260772705} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | null | {"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(-1.5681) q[3];\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];\... | [
"ZIIZ",
"ZIZI",
"ZZII",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
0.5,
0.5,
0.5,
-1,
0,
0,
0
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
-5005985748861774082 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 5], [5, 6], [0, 1], [8, 6], [2, 3], [2, 4], [1, 7], [8, 4], [3, 4], [8, 1], [0, 7], [8, 2], [2, 7], [9, 2], [9, 7], [1, 2], [0, 8]]} | {"states": [339, 684], "expectation_value": -0.2023742278004806, "params": [[0.07640000000000001], [-0.08070000000000001]], "bitstrings": ["1010101100", "0101010011"], "total_optimization_steps": 10, "probabilities": [0.0012064327650047853, 0.0012064327650047853], "optimization_time": 2.374912977218628} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-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], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110101001", "1110101000", "0010010110", "1100101001", "0101010111", "1101101001", "0101010011", "0101010110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] 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(0.5255481528239808) q[0];
cx q[5], q[0];
cx q[0], q[1];
rz(0.5255481528239808) q[1];
cx q[0], q[1];
h q[6];
cx q[5], q[6];
rz(0.5255481528239808) q[6];
cx q[5], q[6];
rz(6.234538041383075e-08) q[5];
rx(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[0], q[1];
rz(x0) q[1];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIIIIIIZZ",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IZIIIIIIZI",
"IIIIIIIZZI",
"IZIIIIIZII",
"IIIIIIZZII",
"IZIIIZIIII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIZIIIIZII",
"ZIIIIIIZII",
"ZIZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.496557 | [
0.5255481528239808,
6.234538031587168e-8,
-0.6667273093054111
] | {
"n_parameters": 3,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 98 |
4a01a984c253fac78cca60269d01efc1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [724, 726], "expectation_value": -2.2309460308631333, "params": [[[1.5718, 0.5045000000000001], [-0.18960000000000002, 0.5357000000000001], [1.5821, -1.5641], [-1.1273, 1.5774000000000001], [1.5730000000000002, 1.5730000000000002], [1.5721, 1.5735000000000001], [1.5732000000000002, 1.5727], [1.5744, 1.5736],... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101001010", "0100011010", "0100101010", "0100101001", "0110000110", "0111000010", "0110001010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.6793430139584373) q[0];
rz(-0.5475083314169016) q[0];
rx(0.09515557675715071) q[1];
rz(0.4627722943263448) q[1];
rx(1.739060974583087) q[2];
rz(0.6202117139471692) q[2];
rx(0.042183941876142855) q[3];
rz(0.392309081606653) q[3];
rx(-0.11805148560226901) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZZII",
"IIIIZIZZII",
"IIIIZZIZII",
"IIIIZZZIII",
"IIIIZZZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZZIIZIII",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"IZIIIZIIII"... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.25,
-0.125,
-0.1... | 0.982293 | [
1.6793430139584373,
-0.2659334535269083,
0.09515557675715071,
0.3302807664246088,
1.739060974583087,
0.3162368239205352,
0.042183941876142855,
0.5392977024642969,
-0.11805148560226902,
0.5788311737990788,
0.08362319787918186,
0.5828470670098009,
1.4443840052954673,
0.3194847730018116,
0.... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
7d2e8354bbcbc456262414017816878c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [18, 82], "expectation_value": -5.725383263903246, "params": [0.8308000000000001, 0.0017000000000000001, 0.09530000000000001, 0.0014, 0.9054000000000001, -0.0047, -0.0049, 0.46990000000000004, 0.5501, -0.2023, 0.9071, 0.0398, 0.10260000000000001, 0.37520000000000003, 0.8338, 0.0032, 0.2016, 0.003600000000000... | 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(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 4 | 7 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0101101"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.5494844452525025) q[0];
rz(1.5486491324501142) q[0];
rx(-0.039678277732931554) q[1];
rz(1.6470472107929357) q[1];
rx(1.6626679060190528) q[2];
rz(1.6681044612233205) q[2];
rx(-0.11077409232451249) q[3];
rz(1.9341065834099869) q[3];
rx(0.6694949907746592) 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": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZZII",
"ZIIIZII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2.5,
-1.5,
-1.5,
-1,
-1.5
] | 0.975682 | [
1.5494844452525025,
-0.022147194344781913,
-0.03967827773293156,
0.07625088399803912,
1.6626679060190526,
0.09730813442842348,
-0.11077409232451248,
0.3633102566150902,
0.6694949907746592,
-0.21616780515378003,
1.3427741687318178,
-0.14268629026902196,
-0.17233115819198355,
0.3278354784641... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -8.31151046398279, "params": [[[0.0015, 0.006], [1.6013000000000002, 0.0004], [0.0026000000000000003, 0.0012000000000000001], [0.0026000000000000003, 0.0012000000000000001], [0.0026000000000000003, 0.0041], [0.0023, 0.006900000000000001], [-1.589, 0.0027]]], "bitstrings": ["101... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5874017135860925) q[0];
h q[1];
ry(1.608914631976602) q[1];
h q[2];
ry(-1.5874017135860925) q[2];
h q[3];
ry(-1.5874017135860925) q[3];
h q[4];
ry(-1.5874017135860925) q[4];
ry(-0.05125907922144988) q[5];
rz(-pi) q[5];
h q[6];
ry(0.7820613171932738) q[6];
... | 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;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1,
0.75,
-0.25,
-0.25,
0,
2.5,
-1.75,
-1
] | 0.99923 | [
1.608914631976602,
1.5641226343865475,
-1.5874017135860925,
-1.5438637253244718,
0.04865295550204985
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 1 |
4956b44a15796d9b5317bf40a3232de2 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [60, 63], "expectation_value": -16.151911854468594, "params": null, "bitstrings": ["111000011", "111000000"], "total_optimization_steps": 100, "probabilities": [0.12763937895323588, 0.5236100508860712], "optimization_time": 140.72284388542175} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.5669893297986075) q[0];
h q[1];
ry(-1.5669893297986075) q[1];
rz(-pi) q[2];
ry(-0.00025845423458402075) q[2];
h q[3];
h q[4];
ry(0.6914289569720544) q[4];
cx q[3], q[4];
ry(-0.6914289569720544) q[4];
cx q[3], q[4];
ry(0.5552705824240733) q[3];
h q[5];
ry(1... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-2,
-2,
1,
-2,
-2,
-2,
-2,
-2,
1,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.929032 | [
-1.5669893297986075,
-1.5716366014994316,
1.3828579139441088,
2.1488115057857704,
1.1105411648481467,
-0.4657930945092297,
1.1297331087621536,
-0.32336585851108357,
0.00502546424383441,
0.002555572013626357,
1.580510118395439,
1.238658643614027,
-1.6951711346294682,
-1.1189914146858835,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 500 |
-8441530759867864730 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 5], [2, 4], [0, 6], [0, 1, 7], [2, 7], [8, 9], [0, 3, 4], [4, 7], [4, 6], [3, 7], [1, 6], [2, 3], [8, 5, 7], [0, 1, 4], [9, 7], [9, 6], [0, 2], [8, 3, 6], [0, 1, 5], [0, 5, 7], [8, 6, 7]]} | {"states": [883, 867], "expectation_value": -5.194248180885854, "params": [2.4928, 0.1384, 0.6366, 0.007200000000000001, 2.5003, 0.193, 0.633, 0.0009000000000000001, 0.0028, -0.6317, -0.0029000000000000002, 0.0009000000000000001, 2.3277, 0.1144, 0.8151, 0.0077, 2.4603, 0.1302, 0.6802, 0.0041, 2.3661000000000003, -0.434... | 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333336, "smallest_bitstrings": ["0010011100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.584734085152011) q[0];
rz(0.31556317633073583) q[0];
rx(2.783047823172739) q[1];
rz(0.15180680503780275) q[1];
rx(0.11867967199127515) q[2];
rz(-0.24615062464371285) q[2];
rx(2.341133148811259) q[3];
rz(0.11787489434301524) q[3];
rx(2.760266155635857) q[4];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIZIIIII",
"IIIIIZIZII",
"IIIIZIIIIZ",
"IIIIIZIIIZ",
"IIIIIIIZIZ",
"ZIIZIIIIII",
"IIIZIZIIII",
"IIIZIIIIIZ",
"IIIIZIIIZI",
"IIIIIZIIZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIZIZIIIII",
"ZIZIIIIIII",
"IIZIIZIIII",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIZIIIIIZI",
"IZIIZIIIII"... | [
0.5,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.5,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.33333... | 0.970445 | [
2.584734085152011,
0.3280173745532686,
2.783047823172739,
0.04997671484404432,
0.11867967199127516,
-0.5460148179614098,
2.341133148811259,
0.05135971402623465,
2.760266155635857,
0.038095444187550356,
2.043777589199848,
-0.4030924068114885,
-0.06661013307259822,
-2.463720304897842,
-0.0... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -5.499999999999998,
"target_ratio": 0.97,
"target_value": -5.334999999999998
} | 24 |
9915ff93784d747e82bcd9a73a2399e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [12, 3], "expectation_value": -4.334305850783709, "params": [[0.0692, 0.0557, 0.048, 0.0385], [-0.08660000000000001, -0.0815, -0.07730000000000001, -0.0663]], "bitstrings": ["10011", "11100"], "total_optimization_steps": 10, "probabilities": [0.0825188634245809, 0.08558789646404728], "optimization_time": 6.1... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 11 | 5 | 4 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
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[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] | 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 |
1480054533096559666 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4, 7, 8, 11], [10, 7], [1, 3, 5, 6, 8, 9], [2, 4, 6, 7, 8, 9, 11], [1, 2], [0, 1, 4, 5, 6, 7, 9, 11], [2, 3, 4, 7, 8], [0, 2, 4, 8, 10], [0, 2, 4, 8, 9], [0, 1, 4, 5, 6, 8, 11]]} | {"states": [2936, 2937], "expectation_value": -2.36859104954537, "params": [1.5716, -0.0023, 1.5668, 0.0019, -0.0022, -0.4622, 0.2111, -0.011600000000000001, 1.4484000000000001, 0.0085, 1.449, 0.0089, 1.7783, 0.6292, 1.7463000000000002, 0.8853000000000001, 0.5496, -0.7357, 0.5444, 0.0095, 1.0493000000000001, 0.0634, 1.... | 0.075 * (Z(0) @ Z(1)) + 0.075 * (Z(4) @ Z(1)) + 0.17500000000000002 * (Z(4) @ Z(0)) + 0.05119047619047619 * (Z(7) @ Z(1)) + 0.05119047619047619 * (Z(7) @ Z(0)) + 0.125 * (Z(7) @ Z(4)) + 0.09047619047619047 * (Z(8) @ Z(1)) + 0.15714285714285717 * (Z(8) @ Z(0)) + 0.23095238095238094 * (Z(8) @ Z(4)) + 0.10714285714285715 ... | 8 | 12 | 1 | {"smallest_eigenvalues": [-2.541666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.526190476190476, "smallest_bitstrings": ["010010000110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.6110319339655272) q[0];
rz(1.5175801801664548) q[0];
rx(0.0518930986665698) q[1];
rz(-0.41799055786513356) q[1];
cx q[1], q[0];
ry(-0.4588973335404324) q[0];
cx q[1], q[0];
ry(2.015574470761768) q[0];
rz(-1.413766059434383) q[0];
rx(0.266220007203307) q[1];
rz(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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZIIIZIIII",
"IIIZZIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIZIIIIIII",
"ZIIZIIIIIIII",
"IZIIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIZIIII... | [
0.075,
0.075,
0.17500000000000002,
0.05119047619047619,
0.05119047619047619,
0.125,
0.09047619047619047,
0.15714285714285717,
0.23095238095238094,
0.10714285714285715,
0.075,
0.075,
0.0988095238095238,
0.075,
0.08095238095238094,
0.05,
0.05,
0.5,
0.05,
0.03333333333333333,
0.... | 0.970142 | [
1.6110319339655272,
-0.053216146628441784,
0.0518930986665698,
-0.41799055786513356,
1.3539587991262103,
-0.02949685050655649,
1.581027808102809,
0.49801578842771643,
0.4833439860488513,
-1.1518413160354164,
1.089314300125914,
-0.05757167648169922,
1.353847940943047,
-0.01741199788779499,
... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -2.541666666666667,
"target_ratio": 0.97,
"target_value": -2.465416666666667
} | 15 |
7e23eef08dcdb4e5133f79c5680febb8 | max_flow | 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": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [1279, 3327], "expectation_value": -25.170986779689546, "params": [1.0355, 0.0235, -0.5311, 0.0009000000000000001, 0.9143, 0.023100000000000002, -0.4661, 0.0056, 1.1962000000000002, 0.026500000000000003, 0.3814, 0.0013000000000000002, 1.1901000000000002, 0.0502, 1.1860000000000002, 0.0046, 1.2003000000000001... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(7)) + 0.5 * (Z(11... | 6 | 14 | 1 | {"smallest_eigenvalues": [-27.833333333333176], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.83333333333282, "smallest_bitstrings": ["11001100000000"], "largest_eigenvalue": 73.16666666666677} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.9697042079768213) q[0];
ry(0.02137141410040138) q[1];
ry(-0.6584530523431026) q[2];
ry(0.8085638439349074) q[3];
ry(-0.09039089717759916) q[4];
ry(-0.8567762635500705) q[5];
ry(0.22205659028297364) q[6];
ry(1.220541338251762) q[7];
ry(0.959214360246603) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIIIZ",
"IIIIIIIIZZIIII",
"IIIIIIIIZIIIIZ",
"IIIIIIIZIZIIII",
"IIIIIIIZIIIIIZ",
"IIIIIIIZZIIIII",
"IIIIIIIIIZIIZI",
"IIIIIIIIIIIIZZ",
"IIIIIIIIZIIIZI",
"IIIIIIIZIIIIZI",
"IIIIZIZIIIIIII",
"IIIZZIIIIIIIII",
"IIIZIIZIIIIIII",
"IIZIZIIIIIIIII",
"IIZIIIZIIIIIII",
"IIZZIIIIIIIIII"... | [
-0.5,
1,
-1,
0.5,
-0.5,
1,
-1,
0.8333333333333334,
-2,
-1,
0.5,
1,
1,
0.5,
0.5,
1,
1,
2,
2,
1,
0.5,
1,
1,
2,
0.8333333333333334,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
-2,
2,
0.5,
-0.7499999999999998,
1,
0.5,
-1.4999999999999998,
3.5,
5,
7,
... | 0.97152 | [
0.9697042079768213,
0.02137141410040138,
-0.6584530523431026,
0.8085638439349074,
-0.09039089717759916,
-0.8567762635500705,
0.22205659028297364,
1.220541338251762,
0.959214360246603,
0.20299378187023998,
1.1998495248517866,
-0.08788875140151774,
1.3343632175648381,
0.12120878242922446,
... | {
"n_parameters": 106,
"n_qubits": 14,
"optimal_eigenvalue": -27.833333333333176,
"target_ratio": 0.97,
"target_value": -26.99833333333318
} | 74 |
-8764964446550249972 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [0, 8], [8, 1], [4, 5], [4, 7], [5, 6], [8, 2, 4], [0, 1], [3, 6], [1, 5], [8, 7], [3, 7], [1, 7]]} | {"states": [181, 149], "expectation_value": -0.1275252550691157, "params": [[0.0709], [-0.0736]], "bitstrings": ["101001010", "101101010"], "total_optimization_steps": 10, "probabilities": [0.002312394766442848, 0.002314244204989908], "optimization_time": 0.7580804824829102} | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332, -4.333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["101101010", "101001010"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6047782631922215) q[0];
h q[1];
ry(0.7619063421423953) q[1];
h q[2];
ry(-0.6685816840112726) q[2];
h q[3];
ry(-0.2807215891037129) q[3];
h q[4];
h q[5];
ry(-0.664247326780961) q[5];
h q[6];
ry(0.6877074322520867) q[6];
h q[7];
ry(-0.38940709313276306) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[2], q[8];
rz(x1) q[8];
cx q[2], q[8];
cx q[8], q[0];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIIIZZ",
"IIIIZIZII",
"ZIIIZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IIZIIZIII",
"IZIIIZIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0.16666666666666663,
0.16666666666666652,
0,
0,
0.16666666666666652,
0,
0,
0
] | 0.97421 | [
-0.7788141862655261,
1.3046638586343338,
-1.209556526384443,
-0.1757115551482692,
1.5954079582289928,
-1.328494653561922,
1.5238126842847906,
-0.7617383100053831,
1.3754148645041735,
-1.3371633680225452,
-0.44119639418199863,
0.030097627866582,
-0.1978947051819704,
0.3060710828029376,
0.... | {
"n_parameters": 60,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333332,
"target_ratio": 0.97,
"target_value": -4.203333333333332
} | 30 |
-4957161269356865713 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 2], [8, 2, 7], [1, 4], [3, 7], [0, 2], [3, 6], [2, 3, 5], [3, 4], [0, 4], [1, 6], [8, 5, 6], [0, 6], [1, 5, 7], [0, 1], [2, 4, 5], [0, 5], [8, 3], [1, 2, 3], [8, 4, 7]]} | {"states": [223, 95], "expectation_value": -4.331013561316132, "params": [0.3809, -0.0036000000000000003, 0.19820000000000002, 0.0028, 1.2993000000000001, -0.0022, 1.3027, 0.0061, 1.2931000000000001, -0.0051, 1.2601, 0.0067, 0.8859, 0.003, 0.4788, 0.0024000000000000002, 1.2964, -0.0004, 1.2371, 0.0077, 1.2968, 0.002100... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(2))... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666667, "smallest_bitstrings": ["110100000"], "largest_eigenvalue": 13.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.01844244529533949) q[0];
rz(1.4781811276449774) q[0];
rx(2.2674864277918116) q[1];
rz(1.857833670133683) q[1];
rx(1.5459249045846255) q[2];
rz(1.6370492442446958) q[2];
rx(0.2918993487420039) q[3];
rz(1.4367446243254953) q[3];
rx(1.7414570817533617) q[4];
rz(1.6265... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIIIIIIZI",
"IIIIIIZZI",
"ZIIIIIZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIIZII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIZIZII",
"IZIIZIIII",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIIZZIII",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIZIII",
"... | [
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.166666666... | 0.970376 | [
0.01844244529533949,
-0.09261519914991928,
2.2674864277918116,
0.28703734333878606,
1.5459249045846253,
0.06625291744979925,
0.29189934874200396,
-0.1340517024694017,
1.7414570817533617,
0.05578129070393316,
1.9297494433696605,
0.1255778542270314,
1.8849424256640674,
0.016654496942671345,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -5.500000000000001,
"target_ratio": 0.97,
"target_value": -5.335000000000001
} | 130 |
30e28b56cad01a233ddf0894e9b7eaa8 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1386, 2709], "expectation_value": -0.016480130770605197, "params": [[-0.0789], [0.07050000000000001]], "bitstrings": ["101010010101", "010101101010"], "total_optimization_steps": 10, "probabilities": [0.0002608713993931665, 0.00026087139939316663], "optimization_time": 5.712351083755493} | 0.25 * (Z(0) @ Z(1)) + -0.0006835937500000001 * (Z(2) @ Z(0)) + -0.0006835937500000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.0009765625 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.0009765625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000683... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5167968749999998, -1.5167968749999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5070312500000003, "smallest_bitstrings": ["101010010101", "010101101010"], "largest_eigenvalue": 1.5113281250000008} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0006835937500000001,
-0.0006835937500000001,
0.25,
-0.0009765625,
-0.0009765625,
-0.0009765625,
-0.0009765625,
0.25,
0.00087890625,
-0.0006835937500000001,
0.0005859375000000001,
0.00087890625,
-0.0006835937500000001,
0.0005859375000000001,
0.25,
-0.0006835937500000001,
0.... | 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 |
aba6fa396d14e467ae0d99dd38e3c99d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [126, 63], "expectation_value": -2.5616933402987163, "params": [[-0.0536, -0.0584, -0.06520000000000001, -0.0824], [0.06520000000000001, 0.057, 0.061000000000000006, 0.07050000000000001]], "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 10, "probabilities": [0.027589711388470935, 0.03097425... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6029463113024511) q[0];
h q[1];
h q[2];
ry(0.7929991718921372) q[2];
h q[3];
ry(0.8794283440467482) q[3];
h q[4];
ry(0.7775597893498037) q[4];
cx q[1], q[4];
ry(-0.7775597893498037) q[4];
cx q[1], q[4];
cx q[4], q[2];
ry(-0.7929991718921372) q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
-0.75,
-0.25,
-1.5,
-0.25,
1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.5,
0,
-0.25,
-0.75,
1,
-0.75,
-0.75,
1.5
] | 0.97193 | [
1.5743455116567144,
1.5551195786996075,
1.5859983437842744,
1.5572663646124898,
0.8452599701378314,
1.7588566880934964,
0.9720374565052816,
-1.2058926226049023,
-0.0008241090567600584,
0.3357831707759824,
-0.22263848914659737,
0.09928482409924796,
-0.45654623459993954,
-0.20093592429500787... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 453 |
05645ce1d25506f493affbb8923caf54 | 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": [1253, 1189], "expectation_value": -72.86124850153011, "params": [0.6038, 0.0698, 0.0005, 0.35550000000000004, 0.29000000000000004, 0.22490000000000002, 0.6048, 0.07350000000000001, 0.37570000000000003, 0.1592, 0.6021000000000001, -0.12710000000000002, -0.0017000000000000001, -0.32580000000000003, 0.2973, 0.... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(9) @ Z(10)) + -5.0 * Z(1) + 9.5 * Z(0) + 17.0 * Z(3) + 2.0 * Z(2) + 4.5 * Z(4) + 7.5 * Z(5) + -3.5 * Z(6) + 1.5... | 18 | 11 | 4 | {"smallest_eigenvalues": [-117.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.5, "smallest_bitstrings": ["01101011010"], "largest_eigenvalue": 126.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.869674993693277) q[0];
rz(-0.010318626010938914) q[0];
rx(0.024577058266156068) q[1];
rz(0.5500830830959114) q[1];
rx(0.19504640152584912) q[2];
rz(0.5233640682106945) q[2];
rx(0.5554525456050126) q[3];
rz(-0.023921315245420228) q[3];
rx(-0.17560238543623155) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIZIIIIIIZ",
"IIZZIIIIIII",
"ZIIIIIIZIII",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-5,
9.5,
17,
2,
4.5,
7.5,
-3.5,
1.5,
1,
15,
-3
] | 0.970834 | [
0.869674993693277,
-0.05660187079829636,
0.024577058266156068,
0.5500830830959114,
0.19504640152584912,
0.5233640682106945,
0.5554525456050126,
-0.023921315245420228,
-0.17560238543623155,
0.3040476792680779,
0.4858860815422407,
-0.10824338676491471,
-0.11935979071352651,
-0.47394363659327... | {
"n_parameters": 120,
"n_qubits": 11,
"optimal_eigenvalue": -117.5,
"target_ratio": 0.97,
"target_value": -113.975
} | 17 |
87ba346715d7ffd469182fcb7e9830c2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [19, 17], "expectation_value": -6.268873105079745, "params": [[-0.0631, -0.06520000000000001, -0.0413, -0.0582], [0.07400000000000001, 0.076, 0.0601, 0.0653]], "bitstrings": ["1101100", "1101110"], "total_optimization_steps": 10, "probabilities": [0.039362245269864954, 0.04195247831879734], "optimization_tim... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 4 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101110", "1101100"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2424713024680878) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.09609449461972433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07103718221836942) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.2424713024680878) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-1.25,
-0.5,
-1,
-0.5,
2.25,
-1.75,
-2.5,
-1.75,
-1.5,
-2.75,
-0.25,
4,
1.75,
0.5,
-1.75,
-1.5
] | 0.970277 | [
-0.2424713024680878,
-0.09609449461972433,
-0.07103718221836942,
0.24484176276753844,
-0.5846079027452293,
-0.03545717743987341,
-0.13831910799219202,
-0.24427600165074528,
-0.4294993140104167,
0.03986173338969032,
-0.32853968363508496,
0.40842551468782123,
-0.9636115791438007,
0.066113856... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 83 |
837aef83bf03fd18b079a281d9de166f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [123, 122], "expectation_value": -70.27104255031055, "params": [0.29350000000000004, -0.5115000000000001, 1.1002, 0.0061, 1.0466, -0.0034000000000000002, 1.0471000000000001, 0.0092, 1.0443, -0.17400000000000002, -0.004, -0.6144000000000001, 1.0646, 0.0082, 0.44770000000000004, -0.42710000000000004, 0.2881, -... | 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(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.07765590714142556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.07765590714142556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07765590714142556) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.07765590714142556) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10.5,
11.5,
18.5,
14,
19,
0.5,
16.5,
13
] | 0.971603 | [
-0.07765590714142556,
-1.5377008644579224,
1.1115691831187453,
-1.4419585168856286,
-1.6020903063782164,
-1.6805051446086472,
1.3619184107862854,
-1.445708208250168,
1.1918981913168127,
1.5614268144057815,
0.5289298608491824,
2.9757745457669236,
0.6756497393842693,
3.567192846486,
2.0962... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 58 |
5fb7d8d9ff75f939abcd806fd5ddfb77 | connected_components | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [3, 31], "expectation_value": -0.4838775316771051, "params": [[0.0699], [-0.0673]], "bitstrings": ["11100", "00000"], "total_optimization_steps": 10, "probabilities": [0.03908947495033893, 0.0397799841492561], "optimization_time": 0.9418478012084961} | -2.0 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 1.0 * Z(0) + -1.5 * Z(1) + 1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["00000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.7271854011955323) q[0];
h q[1];
h q[2];
ry(0.7271854011955323) q[2];
cx q[1], q[2];
ry(-0.7271854011955323) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.7271854011955323) q[0];
cx q[2], q[0];
ry(0.2660463563487423) q[1];
cx q[0], q[1];
ry(-0.2660463563487423) ... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], q[2];
cx q[1], q[2];... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"ZZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
-2,
-1.5,
-2,
-1,
1,
-1.5,
1,
0.5,
0.5
] | 0.970709 | [
1.4543708023910646,
0.5320927126974846,
0.6689654446825201,
2.5295075337818456,
3.1647654971573203,
-1.2984094867828495,
0.7950964642752983,
1.318471255961886,
0.0578093070600795,
-0.7712875775969058,
-1.3382078591712685,
0.508467822908262,
-1.949484859227235,
-0.041784803235239976
] | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 78 |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [12, 9], "expectation_value": -1.4741122302370115, "params": null, "bitstrings": ["0011", "0110"], "total_optimization_steps": 12, "probabilities": [0.07397885559690098, 0.9005801026366488], "optimization_time": 5.625849485397339} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | null | null | {"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(-1.4449) q[2];\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];\... | [
"IZIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
0
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
-443118916872246947 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 6], [0, 1, 2, 3, 4, 7], [0, 1, 4, 5, 7], [0, 1, 3, 5], [1, 3, 5, 6], [3, 6, 7], [0, 1, 2, 6], [1, 2, 3, 4, 5], [2, 3, 6]]} | {"states": [191, 175], "expectation_value": -1.6243954634535138, "params": [1.3223, 0.1097, 1.3125, 0.005200000000000001, 1.0887, 0.4092, 0.8319000000000001, 0.006200000000000001, 1.3756000000000002, 0.0887, 1.3041, 0.0032, 1.3157, 0.4111, 0.8043, 0.0088, 1.3538000000000001, 0.1527, 1.3348, 0.0051, 1.3809, 0.1655, 1.34... | 0.3 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333334 * (Z(0) @ Z(4)) + 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.08333333333333334 * (Z(2) @ Z(4)) + 0.16666666666666669 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(6)) + 0.11666666666666667 * (Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.183333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["01010000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.447651974996422) q[0];
rz(0.02453663288802499) q[0];
rx(0.3663787485804257) q[1];
rz(0.8390293452366349) q[1];
rx(1.5336458810000695) q[2];
rz(-0.05406767931834899) q[2];
rx(-0.1232460456558259) q[3];
rz(0.8894050351144713) q[3];
rx(1.790922852720464) q[4];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IZIZIIII",
"IZIIIIZI",
"IIIZIIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"IIIZIZII",
"IIIIIZZI",
"IZIIIZII",
"IIIIIZIZ",
"IIIZZIII",
"IIIIZIZI",
"IZIIZIII",
"IIIIZIIZ",
"IIIIZZII",
"ZIIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIZZIIII",
"IIZIIIZ... | [
0.3,
0.16666666666666666,
0.3333333333333333,
0.08333333333333334,
0.25,
0.08333333333333333,
0.08333333333333334,
0.16666666666666669,
0.25,
0.11666666666666667,
0.08333333333333334,
0.25,
0.41666666666666663,
0.11666666666666667,
0.25,
0.08333333333333334,
0.08333333333333334,
0.... | 0.970667 | [
1.4476519749964223,
0.05329119996357722,
0.3663787485804258,
1.1848759868923315,
1.5336458810000695,
0.00726544140140515,
-0.12324604565582589,
0.5361352567513437,
1.7909228527204641,
-0.06441988894943056,
0.8319354729957769,
0.10522760518442995,
2.303545711630567,
-0.22777855099256097,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -2.183333333333334,
"target_ratio": 0.97,
"target_value": -2.117833333333334
} | 76 |
4db055da000fdb4a745c6538e81fa0cf | 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": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [69, 85], "expectation_value": -4.414746775421944, "params": [[-0.010100000000000001, 0.1875, 0.6068, 0.0765, 0.6012000000000001, -0.0099, 0.6086, 0.0034000000000000002, 0.6022000000000001], [0.0211, 0.18560000000000001, 0.6033000000000001, 0.1405, 0.6069, -0.0038, 0.6078, -0.0006000000000000001, 0.602100000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(4) + -1.5 * Z(0) + -1.5 *... | 10 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["111101000", "110101010", "101101100", "100101110", "101100110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.29970353877452194) q[0];
ry(-0.12264553608084731) q[1];
ry(1.2389640169640452) q[2];
ry(-0.05282493328324342) q[3];
ry(0.9364576840287078) q[4];
ry(0.3214117296068567) q[5];
ry(1.13621993792419) q[6];
ry(-0.032963876847426105) q[7];
ry(0.6650165082556527) q[8];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIIIIZ",
"IIIIZZIII",
"ZIIIIZIII",
"IIIIIZIZI",
"IIZZIIIII",
"IIZIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIZZII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-1,
-0.5,
-1.5,
-0.5,
-0.5,
-1
] | 0.97045 | [
0.29970353877452194,
-0.12264553608084731,
1.2389640169640452,
-0.05282493328324342,
0.9364576840287078,
0.3214117296068567,
1.13621993792419,
-0.032963876847426105,
0.6650165082556527,
-0.33523675524461394,
0.20398362234039824,
1.2972664751462484,
0.08831728357316737,
1.2894855294158531,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 18 |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -2.2065923315464033, "params": [[0.0426, 0.0645, 0.056900000000000006, 0.0345], [-0.0129, -0.0487, -0.0499, -0.0393]], "bitstrings": ["101010", "100010"], "total_optimization_steps": 10, "probabilities": [0.036974112825723424, 0.037869010327825775], "optimization_time": 4.24868... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6613510471018691) q[0];
h q[1];
ry(0.6363557243035431) q[1];
h q[2];
ry(0.8762410042703717) q[2];
h q[3];
ry(1.5797614988899453) q[3];
h q[4];
ry(-1.3227020942037382) q[4];
h q[5];
cx q[5], q[0];
ry(0.6613510471018691) q[0];
cx q[5], q[0];
ry(-0.1472698311... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"IIZIZI",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-1,
-1.25,
-0.75,
1.75,
-1,
-0.5,
-1.25,
-1.25,
1.25,
-0.25,
-2.5,
0,
-0.5,
2
] | 0.973802 | [
-1.3227020942037382,
1.5797614988899453,
1.7411868845926435,
-0.2945396623583815,
1.2727114486070863,
0.4993285531882329,
1.7524820085407433,
-0.23870673944423812,
-0.4358087178782579,
0.06835119046574256,
-0.27794874849023343,
-0.29686600510111416,
0.5459314081296203,
-0.5128761408398687,... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 64 |
b859764cc810bb20378f19b6fa3fab8e | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [43609, 43605], "expectation_value": -1.6996007516667815, "params": null, "bitstrings": ["0101010110100110", "0101010110101010"], "total_optimization_steps": 100, "probabilities": [0.11715710808719348, 0.26465409216125485], "optimization_time": 931.8274528980255} | 0.25 * (Z(0) @ Z(1)) + -0.0010330578512396695 * (Z(2) @ Z(0)) + -0.0010330578512396695 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006198347107438016 * (Z(4) @ Z(0)) + 0.00025826446280991736 * (Z(4) @ Z(2)) + -0.0006198347107438016 * (Z(5) @ Z(1)) + 0.00025826446280991736 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0143595041321887], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0143595041321447, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0158057851239533} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
ry(-0.5810969027039917) q[1];
cx q[0], q[1];
ry(0.5810969027039917) q[1];
cx q[0], q[1];
ry(-0.1602304674429262) q[0];
cx q[1], q[0];
ry(0.1602304674429262) q[0];
cx q[1], q[0];
ry(0.5484055166550409) q[0];
ry(-0.1447417245689822) q[1];
h q[2];
h q[3];
... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5953) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0010330578512396695,
-0.0010330578512396695,
0.25,
-0.0006198347107438016,
0.00025826446280991736,
-0.0006198347107438016,
0.00025826446280991736,
0.25,
0.00010330578512396695,
0.000051652892561983477,
-0.0008780991735537191,
0.00010330578512396695,
0.000051652892561983477,
-0.0... | 0.974758 | [
-0.46000525133767695,
-0.5352219271812406,
-1.4816696848482511,
-1.063114003757688,
-0.8447229531261213,
-1.1621938054079834,
-0.9275260015326787,
-0.9116057269410988,
-0.36135140425103934,
1.0098381854007996,
-0.6193483744085458,
0.25939358041024185,
-0.16135263965332763,
1.37510505649477... | {
"n_parameters": 99,
"n_qubits": 16,
"optimal_eigenvalue": -2.0143595041321887,
"target_ratio": 0.97,
"target_value": -1.9539287190082228
} | 98 |
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": [43, 59], "expectation_value": -6.093500954133412, "params": [0.0028, 1.3372000000000002, -0.060200000000000004, -0.6947, -0.9307000000000001, -0.2528, 0.9131, 0.5137, 1.1268, 0.199, -0.0037, 0.6255000000000001, 1.0582, 0.3793, -1.0370000000000001, 0.0007, 0.0028, 1.3409, 0.015000000000000001, -0.7107, -1.03... | -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 | 3 | {"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 |
5837479114759974857 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 4, 5, 6, 8], [8, 7], [1, 3]]} | {"states": [141, 373], "expectation_value": -1.166661673285079, "params": [[[1.6339000000000001, 0.0081], [3.1394, 0.008], [-0.0022, 0.003], [1.5285, 0.0005], [3.1387, 0.005200000000000001], [1.5770000000000002, 0.0024000000000000002], [3.1437, 0.0067], [3.1388000000000003, 0.0088], [3.1388000000000003, 0.0036000000000... | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.023809... | 2 | 9 | 1 | {"smallest_eigenvalues": [-1.1904761904761905, -1.1904761904761905, -1.1904761904761905, -1.1904761904761905, -1.1904761904761905, -1.1904761904761905], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.1904761904761902, "smallest_bitstrings": ["110000010", "010001010", "010000110", "010000001", "01001001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.7758569097367962) q[0];
rz(0.10669601081200822) q[0];
rx(3.1052487345656807) q[1];
rz(0.1908998497012751) q[1];
rx(-0.03454487791679294) q[2];
rz(0.012477018606008902) q[2];
rx(1.4962234873843485) q[3];
rz(-0.07269379977971396) q[3];
rx(3.1446983881663204) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"... | [
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.02... | 0.979063 | [
1.7758569097367962,
0.10669601081200822,
3.1052487345656807,
0.1908998497012751,
-0.03454487791679294,
0.012477018606008902,
1.4962234873843485,
-0.07269379977971396,
3.1446983881663204,
-0.12587870988993383,
1.6740055190761265,
0.154728231959414,
3.2811998464595558,
0.0012555680655286661,... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -1.1904761904761905,
"target_ratio": 0.97,
"target_value": -1.1547619047619047
} | 1 |
-2125662797775598836 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [1, 2], [3, 5], [0, 4], [4, 6], [0, 7]]} | {"states": [45, 77], "expectation_value": -2.714297971973034, "params": null, "bitstrings": ["11010010", "10110010"], "total_optimization_steps": 57, "probabilities": [0.053478880312164356, 0.7636361762184474], "optimization_time": 67.20277380943298} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["00101101", "10110010", "11010010", "01001101"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.9427441076008608) q[1];
cx q[2], q[1];
rz(8.260850670183117e-09) q[1];
rx(-0.7853981092870267) q[1];
rz(8.260850670183117e-09) q[2];
rx(-0.7853981092870267) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.9427441076008608) 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIZIIIIZ",
"IIIIIZZI",
"IIZIZIII",
"IIIZIIIZ",
"IZIZIIII",
"ZIIIIIIZ",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.565477 | [
0.9427441076008608,
8.260850110949885e-9,
-0.7853981092870266
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 95 |
840e9b519c64e36f0d06f3fa0fe64361 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 4}, {"weight": 14, "sourc... | {"states": [500, 244], "expectation_value": -38.88016221735804, "params": [1.5467, 0.0066, 2.5039000000000002, 0.0046, 1.6836, 0.0091, 2.4934000000000003, 0.0026000000000000003, 2.5057, 0.0037, 0.8792000000000001, 0.0034000000000000002, 2.4958, 0.0031000000000000003, -0.0028, 0.0022, -0.0025, 0.0007, 0.0055000000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-54.0, -54.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -51.0, "smallest_bitstrings": ["100001011", "101000111"], "largest_eigenvalue": 124.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.04247956026055818) q[0];
rz(0.2561899655022195) q[0];
rx(-3.1024907353691877) q[1];
rz(-0.2778142404790245) q[1];
rx(2.7086653451717955) q[2];
rz(-0.1617767436992299) q[2];
rx(-2.9629050205690404) q[3];
rz(-0.23935783122884402) q[3];
rx(2.683595911323018) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIZIIII",
"IZIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
13.5,
8.5,
9,
6.5,
8,
1.5,
-1.5,
-5,
-8.5
] | 0.974251 | [
0.042479560260558186,
0.1752048156719466,
3.180694571810399,
-0.29040402369080487,
2.7086653451717955,
-0.18257062718988246,
3.3202802866105463,
-0.14348454114557066,
2.683595911323018,
0.15614204903206522,
0.00009716635493300929,
-0.6527880338911216,
2.562145546361312,
0.30005918376821317... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -54,
"target_ratio": 0.97,
"target_value": -52.379999999999995
} | 14 |
-3689635752175617118 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 7], [1, 3, 8, 9, 10], [4, 5, 7], [1, 3, 4, 5, 6, 8, 9], [3, 4, 5, 8, 10], [0, 1, 5], [0, 1, 2, 3, 4, 6, 8, 10], [3, 7], [0, 1, 2, 4, 6, 9, 10], [1, 10, 3, 5], [0, 2, 3, 5, 6, 8, 10], [0, 4, 8, 9, 10]]} | {"states": [1529, 1401], "expectation_value": -3.211899053049105, "params": [1.5765, 1.5588000000000002, 0.0022, 0.0025, 1.5696, 1.5765, 0.7608, 0.7625000000000001, 1.5738, 1.5731000000000002, 1.5648, 1.5718, 1.5704, 1.5662, 1.6609, 1.4821, 0.0027, 0.0027, 0.0029000000000000002, 0.0029000000000000002, 1.6812, 1.4657, -... | 0.5 * (Z(2) @ Z(8)) + 0.175 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.225 * (Z(4) @ Z(2)) + 0.175 * (Z(4) @ Z(1)) + 0.19166666666666665 * (Z(9) @ Z(2)) + 0.09166666666666667 * (Z(9) @ Z(1)) + 0.16547619047619047 * (Z(9) @ Z(4)) + 0.12380952380952381 * (Z(10) @ Z(2)) + 0.09761904761904762 * (Z(10) @ Z(1)) + 0.0738095238... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.2488095238095243], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.201190476190477, "smallest_bitstrings": ["01010000110"], "largest_eigenvalue": 11.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5964439600866334) q[0];
rz(-0.015614873637993992) q[0];
ry(0.16715134981755372) q[1];
ry(1.61238160055174) q[2];
ry(0.7489105296828692) q[3];
ry(1.5325054431448222) q[4];
ry(1.6057131965367244) q[5];
ry(1.5049835475174278) q[6];
ry(1.6457434026740636) q[7];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZII",
"IIIIIIIIZZI",
"IIZIIIZIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IZIIIIIIZII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIZIIZIIIII",
"IIIIIZIIZII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIZIZIIII... | [
0.5,
0.175,
0.5,
0.225,
0.175,
0.19166666666666665,
0.09166666666666667,
0.16547619047619047,
0.12380952380952381,
0.09761904761904762,
0.07380952380952381,
0.12380952380952381,
0.16666666666666666,
0.14166666666666666,
0.06547619047619047,
0.09166666666666667,
0.14166666666666666,
... | 0.985115 | [
1.5964439600866334,
0.16715134981755372,
1.61238160055174,
0.7489105296828692,
1.5325054431448222,
1.6057131965367244,
1.5049835475174278,
1.6457434026740636,
-0.04330542449511146,
0.021028297470158188,
1.7193160619625067,
-0.031229747275987985,
1.619349890979409,
1.6785807457869164,
0.0... | {
"n_parameters": 39,
"n_qubits": 11,
"optimal_eigenvalue": -3.2488095238095243,
"target_ratio": 0.97,
"target_value": -3.1513452380952383
} | 1 |
7f4c1e2c9bad0a6e0605fae9471bc9cf | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [80, 89], "expectation_value": -6.999934073606576, "params": null, "bitstrings": ["0101111", "0100110"], "total_optimization_steps": 35, "probabilities": [1.3834091991385583e-05, 0.9999481838476324], "optimization_time": 40.294137477874756} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(4) + 0.0 * Z(0) + -2.0 * ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0100110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.0439732452993793) q[0];
rz(-pi) q[1];
ry(-0.021586519897609995) q[1];
rz(-pi) q[2];
ry(-3.0439732452993793) q[2];
h q[3];
ry(1.5712954840865174) q[3];
h q[4];
ry(-1.5396619496691069) q[4];
h q[5];
ry(-1.5396619496691069) q[5];
rz(-pi) q[6];
ry(-3.051... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"ZIZIIII",
"ZIIIIZI",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
0,
-2,
-1,
-1,
-2,
-1
] | 0.993003 | [
-1.5396619496691069,
-1.567621708727845,
1.5712954840865174,
0.17901712585412477,
0.19424050199758652,
0.11763506385417996,
-0.04952227592932356,
0.11380756988679648
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
8780253838377476036 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 4, 5, 7], [8, 0, 2, 7], [2, 3, 5, 6, 7, 10], [1, 2, 3, 6, 7, 8, 9, 10], [0, 1, 2, 3, 5, 6, 8, 9, 10], [1, 4, 5, 6, 7, 10], [2, 4, 7, 8, 9], [0, 10, 4, 6], [4, 5, 7, 9, 10]]} | {"states": [2037, 2021], "expectation_value": -1.2951409505242426, "params": [2.6386000000000003, 0.0015, 2.6189, 0.0078000000000000005, 2.6229, 0.0071, 2.6417, 0.0018000000000000002, 1.5882, 0.0063, 1.5886, 0.0061, 1.5692000000000002, 0.0041, 1.5525, 0.004200000000000001, 2.4869000000000003, 0.0094, 1.5232, 0.00620000... | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666669 * (Z(6) @ Z(5)) + 0.09722222222222221 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.2 * (Z(8) @ Z(6)) + 0.05 * (Z(9) @ Z(5)) + 0.09722222222222221 * (Z(9) @ Z(0)) + 0.013888888888888888 * (Z(9) @ Z(6)) + 0.151190... | 16 | 11 | 1 | {"smallest_eigenvalues": [-1.8952380952380954], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8952380952380952, "smallest_bitstrings": ["00000011010"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.1267522246676673) q[0];
rz(2.157283329416895) q[0];
rx(0.9998057406542193) q[1];
rz(1.5938789181092354) q[1];
cx q[1], q[0];
rz(-0.18395066106389418) q[0];
cx q[1], q[0];
rz(-0.1815966714368605) q[1];
rx(-3.1326435787121025) q[2];
rz(-0.08971174784888802) q[2];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIIZIIIIIZ",
"IIZIIZIIIII",
"IIZIIIIIIIZ",
"IIZIZIIIIII",
"IZIIIZIIIII",
"IZIIIIIIIIZ",
"IZIIZIIIIII",
"IZZIIIIIIII",
"IIIIIZIZIII",
"IIIIIIIZIIZ",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IZIIIIIZIII",
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIZIIIZIIII",
"IZIIIIZII... | [
0.16666666666666666,
0.16666666666666669,
0.09722222222222221,
0.21666666666666667,
0.16666666666666666,
0.2,
0.05,
0.09722222222222221,
0.013888888888888888,
0.1511904761904762,
0.05,
0.09722222222222221,
0.04722222222222222,
0.18452380952380953,
0.1650793650793651,
0.0138888888888888... | 0.970583 | [
3.1267522246676673,
1.9733326683530004,
0.9998057406542193,
1.5938789181092354,
3.150541728467484,
-0.724469602641136,
3.1195915020690115,
0.16182608717637728,
0.03595785012281902,
-0.3684647589653326,
-0.04037167060083403,
2.189721169818452,
3.140096264005577,
-0.4673264819682265,
3.149... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -1.8952380952380954,
"target_ratio": 0.97,
"target_value": -1.8383809523809524
} | 125 |
347cd23786ada5a7ec96f3799dd0d8dc | matching | 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": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [119, 117], "expectation_value": -63.64160765601912, "params": [0.1918, 0.3236, 0.7902, 0.0009000000000000001, 0.7911, 0.0079, 0.7878000000000001, -0.0379, 0.1778, -0.2429, 0.7869, 0.1095, 0.34690000000000004, 0.2501, 0.7873, 0.1022, 0.1864, 0.32120000000000004, 0.7867000000000001, -0.002, 0.7903, 0.0067, 0.... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 18 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5.5,
4.5,
18,
13.5,
2.5,
16.5,
9,
13.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
7111857690818177387 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 6], [5, 7], [0, 6], [1, 5], [2, 3], [3, 4], [2, 6]]} | {"states": [211, 233], "expectation_value": -2.7024559108021378, "params": null, "bitstrings": ["00101100", "00010110"], "total_optimization_steps": 72, "probabilities": [0.0785956802543081, 0.5753113325581306], "optimization_time": 79.05426144599915} | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["11101001", "00010110", "01010011", "10101100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0404371032930106) q[0];
rz(1.759541521355338) q[0];
rx(-0.3312962432112361) q[1];
rz(1.6428731447420386) q[1];
rx(0.32437339846341956) q[2];
rz(1.4249619459015364) q[2];
rx(2.214704309342177) q[3];
rz(1.4297971422094857) q[3];
rx(0.1920415176323746) q[4];
rz(1.5388... | 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[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IZIZIIII",
"ZIZIIIII",
"IZIIIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IIIZZIII",
"IIIIZZII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976873 | [
1.0404371032930106,
0.18874519456044137,
-0.33129624321123613,
0.07207681794714221,
0.32437339846341956,
-0.14583438089336054,
2.214704309342177,
-0.14099918458541136,
0.1920415176323746,
-0.03194509223381847,
3.03342695146363,
0.13434545235313552,
1.098642978238609,
0.05966793958734321,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 90 |
53fd70b7ce4659cd92d050c8100f2208 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "s... | {"states": [1, 255], "expectation_value": -4.626932462130244, "params": [[[-0.8045, 0.8407], [-0.0023, 1.2261], [-0.0011, -0.0023], [-0.0013000000000000002, 0.0023], [-0.0033, -0.0026000000000000003], [-0.0033, -0.003], [-0.0025, -0.0028], [3.1391, -0.0027], [-0.003, 0.0041]]], "bitstrings": ["111111110", "100000000"],... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(... | 15 | 9 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000000", "110001000", "110011010", "110001010"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.5267410352110884) q[0];
ry(-0.018411074281451327) q[1];
ry(0.061345513159529685) q[2];
ry(0.12378231600340234) q[3];
ry(0.05503933711780036) q[4];
ry(0.05503933711780036) q[5];
ry(0.201229846662569) q[6];
ry(3.0995729660329405) q[7];
ry(-0.032345481155606745) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
1.75,
-0.25,
0.25,
-0.5,
-0.5,
0,
0.25
] | 0.976819 | [
-0.5267410352110884,
-0.018411074281451327,
0.061345513159529685,
0.12378231600340234,
0.05503933711780036,
0.201229846662569,
3.0995729660329405,
-0.032345481155606745,
0.049081024684180574,
2.9982730693702533,
0.04592498520239981,
-0.051125946594220956,
0.012814314600203214,
-0.193557483... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 35 |
b429c789c57c662cae6ccbffac54e930 | 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": [742, 710], "expectation_value": -49.352533678478714, "params": [-0.0024000000000000002, 0.31880000000000003, 0.5996, 0.13520000000000001, 0.38420000000000004, 0.1938, 0.6006, 0.0932, 0.6019, 0.0082, 0.3917, 0.1691, -0.0018000000000000002, 0.2832, 0.3798, 0.1761, 0.6035, 0.09050000000000001, 0.5983, 0.0131, ... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(9)) + -3.0 * Z(0) + 7.0 * Z(1) + 4.5 * Z(2) + 8.5 * Z(3) + 4.5 * Z(5) + 7.5 * Z(4) + -3.0 * Z(6) + 9.0 *... | 16 | 11 | 4 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["10100111001"], "largest_eigenvalue": 111.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.18628099366969098) q[0];
rz(0.4018113771584222) q[0];
rx(0.9458889430691265) q[1];
rz(-0.07548209642915657) q[1];
cx q[1], q[0];
rz(-0.27379211933730574) q[0];
cx q[1], q[0];
rx(0.2160349497304578) q[0];
rz(0.7545891775678921) q[0];
rz(0.03763523833720414) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIZIIIIIII",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-3,
7,
4.5,
8.5,
4.5,
7.5,
-3,
9,
4,
5.5,
1.5
] | 0.978641 | [
-0.186280993669691,
0.12801925782111664,
0.9458889430691265,
-0.07548209642915657,
0.057891881165115636,
0.17670684895192176,
0.886498743965088,
0.2749940400670766,
0.6523056186702177,
0.08040301882900375,
-0.05101375651247426,
0.19492208932114558,
-0.11852147244914962,
0.5019954962264318,... | {
"n_parameters": 118,
"n_qubits": 11,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 24 |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [171, 427], "expectation_value": -4.918969252088818, "params": [[[0.6577000000000001, -0.12300000000000001, 0.0038, 0.0079], [0.8582000000000001, -0.27040000000000003, 0.17370000000000002, 0.0007], [-0.079, -0.0984, 0.0083, -0.091], [0.5879, 0.1022, 0.6982, 0.0046], [0.0026000000000000003, -0.327, 0.0064, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 12 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [11, 9], "expectation_value": -0.05882684406196502, "params": [[0.07350000000000001], [-0.0821]], "bitstrings": ["10100", "10110"], "total_optimization_steps": 10, "probabilities": [0.0337973027810768, 0.03393546025810637], "optimization_time": 2.189610004425049} | 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 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[2], q[1];... | 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 |
884c33f1fbfdb3489190b99b10954c8f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -25.785927319133865, "params": [-0.0049, 0.125, 0.0024000000000000002, 0.1524, 0.0023, 0.16690000000000002, 0.0022, 0.1643, -0.00030000000000000003, 0.14880000000000002, 0.007, 0.1666, 0.0056, 0.1188, 0.0016, 0.1534, -0.00030000000000000003, 0.1291, 0.0085, 0.1615, 0.003600000000... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.050073210182787306) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.06324935241630691) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.011553066943631517) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.011553066943631517) q[3];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIZZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZZIIIIIIII"... | [
-0.5,
-1,
-0.75,
-0.75,
-1.5,
-2.25,
-0.75,
-1,
-1.25,
-1,
-1.5,
-0.75,
-1.5,
-0.5,
-0.75,
-1.25,
-1.25,
3.25,
-0.5,
-0.75,
-1.25,
-1.25,
-1.5,
-2.25,
-0.75,
-1.5,
-2,
-0.25,
0.75,
-3.25,
-0.25,
0,
3,
1.5,
0.5,
0
] | 0.975481 | [
0.050073210182787306,
-0.06324935241630691,
-0.011553066943631517,
0.017430541594316385,
0.0209721554660499,
-0.06141576819310688,
-0.17847316766339205,
1.5086296337133094,
1.7141328167999783,
1.4455882355296337,
1.6917884335428837,
1.405522782215535,
1.644569268937441,
1.4225942230242805,... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -26.75,
"target_ratio": 0.97,
"target_value": -25.947499999999998
} | 160 |
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": -7.117559469024335, "params": [[-0.053500000000000006], [0.060000000000000005]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006855820336429144, 0.007922906772337404], "optimization_time": 1.791752576828003} | 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 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "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 |
9915ff93784d747e82bcd9a73a2399e5 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 4}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}]} | {"states": [15215, 15214], "expectation_value": -8.435476598390286, "params": [-0.0018000000000000002, -0.0017000000000000001, 0.3982, 0.4005, 0.41300000000000003, 0.4142, 0.48560000000000003, 0.45020000000000004, -0.012400000000000001, -0.0196, 0.41200000000000003, 0.41600000000000004, 0.4212, 0.4083, -0.0111, -0.0136... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(9)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z... | 13 | 15 | 4 | {"smallest_eigenvalues": [-8.74999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999936, "smallest_bitstrings": ["100010010010001"], "largest_eigenvalue": 26.250000000000036} | 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] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIZIIIIIIIIIIIZ",
"IIZIIZIIIIIIIII",
"IZIIIIIIIIIIIZI",
"IZIIZIIIIIIIIII",
"IZZIIIIIIIIIIII",
"ZIIIIIIIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1.5,
1.5,
1.5,
0.75,
0.75,
0.75,
0.75,
0.75,
... | 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 |
0f435eed505f807fb8dc44643dfd43ce | edge_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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [101, 60], "expectation_value": -0.0007462379861863638, "params": [[0.0055000000000000005], [-0.013300000000000001]], "bitstrings": ["0011010", "1000011"], "total_optimization_steps": 10, "probabilities": [0.00782274276077008, 0.007822742760770081], "optimization_time": 3.8988237380981445} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h 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;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"III... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0.125,
0,
-0.625,
0.125
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
b426b8aff164c6823b185eb6b091738d | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [51, 53], "expectation_value": -2.5928785863055515, "params": null, "bitstrings": ["1001100", "1001010"], "total_optimization_steps": 45, "probabilities": [0.07553581477216839, 0.7557774249569611], "optimization_time": 45.86947965621948} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001010", "0110100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | 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(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"ZIZZIII",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [33, 3], "expectation_value": -7.6843337688432, "params": [[0.061700000000000005], [-0.0782]], "bitstrings": ["1011110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.012869261266589887, 0.013374592799756786], "optimization_time": 2.3664488792419434} | 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)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 18 | 7 | 1 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.33842977011630987) q[0];
rz(-0.1108368416663894) q[0];
rx(0.3147269537321503) q[1];
rz(0.4403416265327494) q[1];
rx(-0.051370858575326604) q[2];
rz(-0.22672638531976275) q[2];
rx(0.03931970306589702) q[3];
rz(0.9073276713830547) q[3];
rx(0.0661833452113321) 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;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
-10,
-10.5,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.976782 | [
-0.33842977011630987,
-0.1108368416663894,
0.3147269537321503,
0.4403416265327494,
-0.051370858575326604,
-0.22672638531976275,
0.03931970306589702,
0.9073276713830547,
0.0661833452113321,
-0.5231724704730886,
2.88377300871935,
-1.119200286847717,
2.8464014046151784,
-0.7664925011163902
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 16 |
-7340072773834545871 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [0, 8], [1, 3], [0, 3, 6], [4, 5], [0, 2, 5], [1, 5], [8, 5], [8, 2, 6], [4, 7]]} | {"states": [107, 362], "expectation_value": -3.4845965644794137, "params": null, "bitstrings": ["110010100", "010010101"], "total_optimization_steps": 69, "probabilities": [0.1046803232053917, 0.7953587606971263], "optimization_time": 132.13181352615356} | 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000004, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 6.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.26259001111692293) q[1];
ry(-2.8396349274423094) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3884670111903314) q[3];
h q[4];
ry(-0.781633829268862) q[4];
h q[5];
cx q[5], q[1];
ry(0.26259001111692293) q[1];
cx q[5], q[1];
ry(-0.3661302329509604) q[1];
cx q[3]... | 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(1.2292) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIZZIIIII",
"IIZIIIIIZ",
"IIIZIIIIZ",
"ZIZIIIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIZIIZIII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIIZIIZII",
"IIIIIIZIZ",
"ZIIIIIZII",
"IZIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.33333333333333326,
0.16666666666666607,
0.333333333333... | 0.971756 | [
1.2439675702536817,
-0.5251800222338459,
1.3884670111903314,
-0.7322604659019208,
1.5530969349190729,
-1.563267658537724,
-0.934188061887914,
1.4561482992396158,
-0.6266704380116496,
-1.171658869114451,
0.7486958544526324,
-0.29175944882873384,
0.053839106578380105,
0.6722627064051796,
-... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -3.8333333333333326,
"target_ratio": 0.97,
"target_value": -3.7183333333333324
} | 18 |
2353079fa286d356ce3844ef645b5899 | 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": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 1], "expectation_value": -0.1679301163004885, "params": [[0.059800000000000006], [-0.0514]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0045443067051474054, 0.00454689379887069], "optimization_time": 2.278437376022339} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000", "11111110", "10001000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014476605054925226) q[0];
ry(-0.08302690308798039) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5021299714943626) q[2];
ry(-0.20507589807993404) q[3];
rz(-pi) q[3];
ry(-0.0064225517544533916) q[4];
rz(-pi) q[4];
ry(-0.007758952866561823) q[5];
rz(-pi) q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIIZZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.25,
0.25,
0.5,
1,
1.25
] | 0.996058 | [
-1.5021299714943626,
-1.527893052920365,
-1.541794211553103,
1.640141240938177,
-1.440851768577839,
-1.2949408354430672,
-1.5107160653792404,
-0.09383531025815497,
-0.1415591865437907,
-0.24437121070099205,
-0.08695744059343821,
-0.07296144424015699,
-0.059381324036815154
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 1 |
4cd28f9bc761b26f6d6f15aeccbaedea | 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": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [81, 83], "expectation_value": -2.8064512422469976, "params": [[[0.0033, 0.5917, 0.0041, 0.0097], [0.2655, 0.015300000000000001, 0.2716, 0.006], [0.0011, 0.3009, 0.0051, 0.2953], [0.1666, -0.0137, 0.1756, 0.0068000000000000005], [0.5667, -0.005, 0.0089, -0.006500000000000001], [0.10300000000000001, 0.1388, -... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(5)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(5) @ Z(1)) + -0.125 * (Z(7) @ Z(5) @ Z(1)) + -0.125 * (Z(6) @ Z(7) @ ... | 12 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110100", "10110010", "10110001", "11011000", "11010001", "11001100", "10101100", "11110000"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) 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] 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",
"IIIZZIII",
"IIZIZIII",
"IZIIIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIZI",
"ZIZIIIZI",
"ZZIIIIZI",
"ZZZIIIII",
"ZZZIIIZI",
"IIIZIZII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIZIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.125,
-0.25,
-0.5,
-0.25,
-0.125,
-0.125,
0.125
] | 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 |
0a9ce5e89c9dcf521e81060472c9eb03 | 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": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "s... | {"states": [67, 255], "expectation_value": -5.810586633489319, "params": null, "bitstrings": ["110111100", "100000000"], "total_optimization_steps": 100, "probabilities": [0.07098029800654196, 0.73099424589875], "optimization_time": 221.78636193275452} | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(8) @ Z(5)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.23153603351994334) q[0];
h q[1];
h q[2];
ry(1.5470829324436373) q[2];
h q[3];
ry(0.7705398656542058) q[3];
cx q[1], q[3];
ry(-0.7705398656542058) q[3];
cx q[1], q[3];
ry(0.6222101378731693) q[1];
cx q[3], q[1];
ry(-0.6222101378731693) q[1];
cx q[3], q[1];
... | 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(1.5681) 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] = m... | [
"IIIZIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIIZI",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIZII",
"IIIIZIZII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIZII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0,
0.5,
-0.5,
0.5,
1,
-0.75
] | 0.959889 | [
1.5470829324436373,
1.5410797313084117,
2.087226569812678,
1.2444202757463385,
1.7043902733145464,
1.68419662067207,
-0.4630720670398867,
1.7291033298568055,
2.2789226456761957,
-0.050339615282830596,
-0.48130399573726235,
0.7152102582289276,
-0.8707263861464489,
-1.2010984046709827,
0.5... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
0d4975981166b2874d2e3fb8df49ba97 | matching | adaptive_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}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [238, 214], "expectation_value": -39.926217016728785, "params": null, "bitstrings": ["100010001", "100101001"], "total_optimization_steps": 100, "probabilities": [0.10204263315540714, 0.23230478566247953], "optimization_time": 202.8884003162384} | 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 | 3 | {"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... | null | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1215) 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] = m... | [
"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 |
91fd701868951eab612ba86420778b2e | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -5.795067862064384, "params": [[-0.0533, -0.049300000000000004], [0.0567, 0.0675]], "bitstrings": ["101101", "111100"], "total_optimization_steps": 10, "probabilities": [0.028509986269717666, 0.030522896132332382], "optimization_time": 2.904625415802002} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-5.75,
-5.75,
-6.25,
-5.25,
-5.25
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
3426046859757007413 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4, 7], [0, 6], [1, 10], [9, 5, 7], [1, 4], [8, 9, 10, 4], [2, 4, 5, 8, 9], [0, 9, 10, 5], [0, 2, 3, 5, 11], [0, 10, 11, 5], [8, 5, 6, 7], [8, 2, 3], [11, 9, 3, 5], [2, 4, 5, 6, 9], [10, 4, 5], [8, 11], [0, 1, 2], [11, 9, 10, 2], [1, 2, 5, 6, 8], [0, 7... | {"states": [1010, 1011], "expectation_value": -4.960168929775162, "params": [[[0.53, 0.0048000000000000004], [0.35150000000000003, 0.0002], [3.1618, 0.006900000000000001], [2.4512, 0.008700000000000001], [3.1608, 0.0091], [3.1617, 0.0023], [2.8036000000000003, 0.003], [3.1618, 0.0043], [0.9111, 0.0063], [1.2172, 0.0004... | 0.3333333333333333 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.05 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.05 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(6)... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.216666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.133333333333333, "smallest_bitstrings": ["110000001100"], "largest_eigenvalue": 22.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.1644868265006726) q[0];
rz(0.048767099364974614) q[0];
rx(-0.23256679093714544) q[1];
rz(0.31437773768074717) q[1];
rx(3.2832416973077785) q[2];
rz(0.7089169109594968) q[2];
rx(3.069537610792879) q[3];
rz(0.3196170299346986) q[3];
rx(3.298148497174491) 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": []} | [
"IIIIIIIZZIII",
"IIIIZIIZIIII",
"IIIIZIIIZIII",
"IIIIIIIIZIIZ",
"IIIIZIIIIIIZ",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"IIIIIZIIIIIZ",
"IIIIIIIZIIZI",
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIIIIIZ",
"IZIIIIIIIIZI",
"IIZIIIIZIIII",
"IIZIIIIIZIII",
"IIZIZIIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.05,
0.5,
0.05,
0.08333333333333333,
0.5,
0.5,
0.16666666666666666,
0.05,
0.41666666666666663,
0.16666666666666666,
0.16666666666666666,
0.5,
0.35,
0.25,
0.16666666666666666,
0.08333333333333333,
0.05,
0.25,
0.2... | 0.973675 | [
-0.1644868265006726,
0.048767099364974614,
-0.23256679093714544,
0.31437773768074717,
3.2832416973077785,
0.7089169109594968,
3.069537610792879,
0.3196170299346986,
3.298148497174491,
0.9812613030391584,
3.11121813410836,
0.08462032135798145,
3.3088210355074943,
0.7052360000094121,
-0.09... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -6.216666666666667,
"target_ratio": 0.97,
"target_value": -6.030166666666666
} | 16 |
9b6c90aee56ab84919f7c826e678a024 | 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": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 37], "expectation_value": -0.8485494500651369, "params": [1.5976000000000001, 0.0045000000000000005, 1.0134, 0.0044, -0.0026000000000000003, 0.0036000000000000003, 1.6052000000000002, 0.006900000000000001, 1.0245, 0.0092, 1.6026, 0.0057, 0.0086, 0.0051, 0.0092, 0.0092, 0.0008, 0.0028], "bitstrings": ["11... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 18 | 6 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZZIII",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IIZZIZ",
"ZIIZIZ",
"ZIZIIZ",
"ZIZZII",
"ZIZZIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.25,
-0.625,
-0.125,
-0.25,
0.125
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
-6174142874878976459 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6], [3, 4], [2, 4, 6], [0, 1, 6], [2, 3, 5], [5, 6], [0, 2], [4, 7]]} | {"states": [51, 115], "expectation_value": -0.025937990729108518, "params": [[0.046200000000000005], [-0.041]], "bitstrings": ["11001100", "10001100"], "total_optimization_steps": 10, "probabilities": [0.004075394240147128, 0.004085789696554765], "optimization_time": 2.214644193649292} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.051732955315304786) q[0];
cx q[3], q[0];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.051732955315304786) q[6];
cx q[3], q[6];
cx q[0], q[6];
cx q[3], q[4];
rz(1.012500244714749) q[4];
cx q[3], q[4];
cx q[3], q[2];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IIIZZIII",
"IZIZIIII",
"IIIIZZII",
"IIIIIZIZ",
"IZIIIZII",
"IIIZIZII",
"IIIIIIZZ",
"IZIIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"ZIIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"ZIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.33333333333333326,
0.33333333333... | 0.484366 | [
0.051732955315304786,
0.21941390527816926,
1.012500244714749,
-0.03330234281122007,
-0.8022483997851703
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 148 |
2cd4f4c4fee8ef9da3443a6a74e2d3f6 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [38314, 21930], "expectation_value": -1.7001497873826188, "params": null, "bitstrings": ["0110101001010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12489391221734496, 0.264030835857771], "optimization_time": 1065.1965868473053} | 0.25 * (Z(0) @ Z(1)) + 0.0003099173553719008 * (Z(2) @ Z(0)) + 0.0003099173553719008 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002066115702479339 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + 0.0002066115702479339 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.000826... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0189049586776022], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.018904958677551, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.014359504132235} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(-0.8901289130807716) q[0];
h q[1];
cx q[1], q[0];
ry(0.8901289130807716) q[0];
cx q[1], q[0];
ry(-0.49531084245017243) q[1];
cx q[0], q[1];
ry(0.49531084245017243) q[1];
cx q[0], q[1];
ry(1.2311046261205312) q[1];
h q[2];
ry(-0.4226812809646377) q[2];
h q[3]... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5936) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.0003099173553719008,
0.0003099173553719008,
0.25,
0.0002066115702479339,
-0.0008264462809917356,
0.0002066115702479339,
-0.0008264462809917356,
0.25,
-0.0008264462809917356,
-0.0006714876033057851,
-0.0008264462809917356,
-0.0008264462809917356,
-0.0006714876033057851,
-0.0008264... | 0.974062 | [
-0.5567145207077631,
-0.8453625619292754,
-0.6782598304657699,
-0.13744934809847967,
-1.7802578261615432,
-0.9906216849003449,
0.9858110268177671,
-0.12829091429740475,
0.4792259911012853,
1.2311046261205312,
0.7454173357936079,
-0.7005263877973553,
0.583912494687855,
-0.3010901266667311,
... | {
"n_parameters": 92,
"n_qubits": 16,
"optimal_eigenvalue": -2.0189049586776022,
"target_ratio": 0.97,
"target_value": -1.9583378099172741
} | 96 |
1836f56c6aacade8d2873047a951421e | matching | 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": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 7}, {"weight": 13, "source": 1, "tar... | {"states": [235, 234], "expectation_value": -65.32719784738585, "params": [0.24180000000000001, 0.3015, 0.7923, 0.001, 0.7921, 0.0007, 0.7849, 0.046200000000000005, 0.2426, 0.30920000000000003, 0.7934, 0.08610000000000001, 0.1545, 0.3786, 0.7897000000000001, 0.1182, 0.3725, 0.2627, 0.2419, 0.2728, 0.7894, 0.0035, 0.792... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 11.5 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 142.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.20266467470833227) q[0];
rz(2.168432193317308) q[0];
rx(0.07081375388277941) q[1];
rz(1.7717666353110797) q[1];
rx(0.13646139574937427) q[2];
rz(1.3847292031501102) q[2];
rx(0.11845607904840359) q[3];
rz(1.5638165193041313) q[3];
rx(-0.36514156036254475) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
6,
18,
11,
4,
12.5,
2,
10.5,
8.5
] | 0.972406 | [
-0.20266467470833233,
0.5976358665224123,
0.07081375388277941,
0.2009703085161829,
0.13646139574937427,
-0.18606712364478684,
0.1184560790484036,
-0.0069798074907648205,
-0.3651415603625448,
-0.3989072995223136,
0.27120050297296056,
0.08141328367978312,
0.0618548223809936,
0.44064280983791... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 91 |
7159875581110260102 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [3, 7], [0, 2], [2, 7], [4, 6], [0, 3], [0, 5], [1, 4], [3, 4], [4, 7], [3, 6], [0, 4], [1, 7]]} | {"states": [195, 131], "expectation_value": -3.023764007027093, "params": null, "bitstrings": ["00111100", "01111100"], "total_optimization_steps": 57, "probabilities": [0.3245965817390271, 0.5069498808484465], "optimization_time": 68.83566784858704} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["01111100", "10000011", "11000011", "00111100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.8150535588260087) q[0];
h q[1];
ry(0.23732997924014937) q[1];
h q[2];
ry(-0.04038847508124717) q[2];
h q[3];
h q[4];
ry(-0.04038847508124717) q[4];
cx q[3], q[4];
ry(0.04038847508124717) q[4];
cx q[3], q[4];
ry(-0.6996850565981106) q[3];
ry(-0.3877185771610... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIZZII",
"ZIIIZIII",
"ZIIIIZII",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIZZIII",
"ZIIZIIII",
"IIIZIIIZ",
"IZIIZIII",
"IZIZIIII",
"IIZIIIIZ",
"ZIIIIIZI",
"IIIZIIZI",
"IIIIZIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"IIIIIIZI"
] | [
0.5,
0.5,
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
] | 0.975661 | [
-0.08077695016249434,
1.446670969961518,
1.6301071176520174,
-0.7797335422380577,
-0.7754371543221945,
-1.5487867256747985,
1.3018005486854995,
-1.3993701131962213,
0.2766505944159021,
0.10385311994153823,
0.43325724256888276,
-0.2818990104216723,
-0.3634894242352437,
-0.05834276005380224,... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
3752093b82ed107b6f6f5e75324b3162 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 119], "expectation_value": -5.49519940518524, "params": null, "bitstrings": ["10000000", "10001000"], "total_optimization_steps": 62, "probabilities": [0.4989561015638095, 0.4989561015638095], "optimization_time": 71.59888195991516} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.3702539457556981) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.34420703924177587) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.34420703924177587) q[1];
cx q[3], q[1];
rz(0.3702539457556981) q[4];
cx q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5681) 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[... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
1,
-0.25,
-0.75,
-0.75,
0,
0.75,
0,
0
] | 0.586958 | [
0.3702539457556981,
0.34420703924177587,
-0.6640265103139195,
0.9123099738412122,
-0.8635043435183892,
-0.1933114723087158,
0.9357521566745978
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 172 |
9e3fd441307ea46e321a51e29b173f1a | max_flow | 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": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [239, 511], "expectation_value": -9.415877799578892, "params": [[0.0942, -0.001], [-0.11570000000000001, -0.1526]], "bitstrings": ["11100010000", "11000000000"], "total_optimization_steps": 20, "probabilities": [0.0019506055856485455, 0.0019506055856485464], "optimization_time": 7.481706380844116} | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 1 | 11 | 2 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11000000000", "11010010000", "11100010000"], "largest_eigenvalue": 55.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.000890822842480871) q[0];
rz(pi/2) q[0];
ry(-0.15670603725100302) q[1];
ry(-0.20648486180727027) q[2];
ry(0.45144887671116174) q[3];
ry(0.34931390918915306) q[4];
ry(0.14890652132398377) q[5];
ry(0.14818692661575433) q[6];
ry(0.44502625653055666) q[7];
ry(0.424953... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIZIIZII",
"IIIIIIZIZII",
"IIIIZIIIZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIZIIZIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IIIZIZIIIII",
"IIIZIIZII... | [
2,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
-0.5,
1,
1,
0.5,
0.5,
-0.5,
-0.5,
2,
1,
1,
-1,
-1,
1,
-0.25,
8,
4,
3,
1.5,
1.5,
-3,
-3,
2.5,
5,
-0.5,
-0.5
] | 0.971849 | [
0.000890822842480871,
-0.15670603725100302,
-0.20648486180727027,
0.45144887671116174,
0.34931390918915306,
0.14890652132398377,
0.14818692661575433,
0.44502625653055666,
0.4249533755281996,
0.25680042464988484,
0.4419502268595168,
0.1799489528204672,
-0.37170555535813404,
-0.0445425003681... | {
"n_parameters": 129,
"n_qubits": 11,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 11 |
5c8d577142051cc6578aa40532e6b2ab | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [416, 163], "expectation_value": -8.298144705025315, "params": null, "bitstrings": ["001011111", "101011100"], "total_optimization_steps": 66, "probabilities": [0.09194771836542422, 0.7579632659312541], "optimization_time": 94.93957710266113} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["101011100"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.022477326203741932) q[0];
rz(1.1361113631498974) q[0];
rx(1.5839875237065586) q[1];
rz(1.6423285526922164) q[1];
rx(-0.02247732620374193) q[2];
rz(2.9622352226993875) q[2];
rx(1.1173586352177383) q[3];
rz(1.7703358054199603) q[3];
rx(-0.03532431068703414) q[4];
rz... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIZIIZII",
"IZIIIIZII",
"IIIIZZIII",
"ZIIIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIIIZII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"... | [
-0.5,
-0.5,
-0.25,
1.25,
-0.75,
-0.25,
-1.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-1.75,
-0.25,
1,
0,
0.5,
-0.25,
-0.75,
0.75,
0.75
] | 0.970498 | [
-0.022477326203741932,
-0.4346849636449984,
1.5839875237065588,
0.07153222589731986,
1.3914388959044899,
1.1173586352177385,
0.19953947862506388,
-0.03532431068703415,
1.3782077952930516,
-0.15436978163939935,
1.6625285670732382,
0.06203047059893663,
1.6017451533353833,
0.04568878772561308... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 11 |
6781304460810415003 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 7], [4, 6, 7], [1, 3, 4], [0, 1, 4, 5, 6], [0, 2, 3, 4, 5], [3, 5, 6]]} | {"states": [154, 243], "expectation_value": -0.046415495831466924, "params": [[0.07100000000000001], [-0.07390000000000001]], "bitstrings": ["01100101", "00001100"], "total_optimization_steps": 10, "probabilities": [0.004088060913680587, 0.004088553131392662], "optimization_time": 7.483165740966797} | 0.1 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(5) @ Z(1)) + 0.15000000000000002 * (Z(5) @ Z(0)) + 0.26666666666666666 * (Z(5) @ Z(3)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.1 * (Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.6000000000000003], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5999999999999999, "smallest_bitstrings": ["00001100"], "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(0.03556435363330551) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-3.9965144703276475e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.03556435363330551) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.03556435363330551)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZZIIII",
"ZIIZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IZIZIIII",
"IIIIIZIZ",
"IIIIZZI... | [
0.1,
0.21666666666666667,
0.1,
0.1,
0.15000000000000002,
0.26666666666666666,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.1,
0.21666666666666667,
0.1,
0.16666666666666666,
0.05,
0.05,
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,
0.21666666666666667,
0.0... | 0.877594 | [
0.03556435363330551,
-3.9965144703276475e-8,
9.341514493840884e-8,
2.3556006424312184,
-1.3488325361632434e-8,
-4.7369638925217196e-8,
1.5707963221691748,
1.5707965396112602,
-1.5707962612426905,
1.5707963282340387,
1.5707962607910475,
-1.570796354408306
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -1.6000000000000003,
"target_ratio": 0.97,
"target_value": -1.5520000000000003
} | 437 |
15a5f37f6b324be94a7fa874923284e5 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -22.347927280266347, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 93, "probabilities": [0.08328509149000893, 0.6008720326604672], "optimization_time": 214.39132809638977} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 6 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08660647235805458) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08660647235805458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08660647235805458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.08660647235805458) q[3];
cx q[1], ... | null | {"k": 5} | {"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(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.25
] | 0.9711 | [
-0.08660647235805458,
-0.12731865885304094,
0.486571998827358,
0.7706787253710705,
-0.8608749269636787,
-0.3691202591452013,
0.9610136853971378,
-0.12372097609642718,
0.008478123483654525,
1.277526397553868,
0.6268134313552999,
-0.10538367740546278,
-0.7851989999830177,
0.6744201652912936,... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 86 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [7, 3], "expectation_value": -10.60276060914004, "params": [[[0.2607, -0.28300000000000003], [0.25830000000000003, -0.2837], [0.2657, -0.2817], [0.7805000000000001, -0.0059], [0.797, -0.0051], [0.8046000000000001, -0.0041]], [[0.258, 0.0061], [0.2504, 0.003], [0.2635, 0.0029000000000000002], [0.7778, 0.0043]... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 1 | 6 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) 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[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
941e0f788960880dfe35c85f6b384f54 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [7, 39], "expectation_value": -1.869433504411611, "params": [[-0.059500000000000004, -0.06470000000000001, -0.053500000000000006, -0.0284], [0.0698, 0.0753, 0.0736, 0.0618]], "bitstrings": ["1111000", "1011000"], "total_optimization_steps": 10, "probabilities": [0.017380252029382814, 0.02057792507869009], "o... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -2.0 * Z(2) + -0.5 * Z(1) + -2.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-3.6257422606249124e-06) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-3.6257422606249124e-06) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-3.6257422606249124e-06) q[3];
cx q[4], q[3];
rz(1.0121852101895668) q[4];
rx(0.1615... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZIZIII",
"IIIZZII",
"IIIZIZI",
"ZIIIZII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
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,
-2,
-0.5,
-2,
-0.5
] | 0.833333 | [
-0.0000036257422606249124,
1.012185210189567,
-0.4452080100269147,
0.4784242638266058,
0.1615607826016346,
-0.000024812936745678617,
0.598048783171799,
-0.8736914707830179,
0.7294104711108851,
0.5253382115573209,
0.00003994346855610378,
-0.2921742380237811,
-0.13693272918866703,
0.29308037... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 500 |
8426025811770009779 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 7], [0, 6], [6, 7], [2, 3], [4, 7], [8, 3], [0, 1], [5, 7]]} | {"states": [345, 349], "expectation_value": -2.64880622062234, "params": null, "bitstrings": ["010100110", "010100010"], "total_optimization_steps": 75, "probabilities": [0.08048162056563089, 0.6093105930242976], "optimization_time": 123.16598057746887} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["010100110", "100100010", "011000111", "101011101", "100111100", "010111100", "011000011", "010100010", "011011101", "100111000",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.1720729003023258) q[1];
cx q[0], q[1];
ry(0.1720729003023258) q[1];
cx q[0], q[1];
ry(1.2017581175060283) q[0];
ry(-1.1644231986032536) q[1];
h q[2];
h q[3];
ry(-0.1720729003023258) q[3];
h q[4];
ry(0.7690535430044648) q[4];
h q[5];
h q[6];
h q[7];... | 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];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IZIIIIIIZ",
"IZZIIIIII",
"IIZIIIIIZ",
"IIIIIZZII",
"IZIIZIIII",
"ZIIIIZIII",
"IIIIIIIZZ",
"IZIZIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII"
] | [
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
] | 0.970153 | [
-0.3441458006046516,
0.9220083682992852,
-0.9984534104275542,
-0.14611920872390166,
1.6371118203119208,
1.5381070860089296,
-0.3423529972682553,
0.5594994984134859,
1.2336497067744372,
-1.243561158290896,
0.8078876997055918,
-0.5161333197316185,
0.13118055093581565,
-0.33193957635139854,
... | {
"n_parameters": 54,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 62 |
d2e3f71e5c020057da0dd1812bdf6517 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [38893, 47085], "expectation_value": -12.946901221093377, "params": [1.0652000000000001, 0.1218, 0.525, 0.40940000000000004, 0.6398, 0.35500000000000004, 1.0878, 0.1223, 0.4399, 0.4378, 1.0619, 0.0082, 1.0623, -0.0097, 1.0479, 0.0035, 0.8282, 0.16790000000000002, 1.0409000000000002, 0.0004, 1.081300000000000... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 18 | 16 | 3 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"], "largest_eigenvalue": 56.00000000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -1.1662821654183286, "params": [[0.0613, 0.0763, 0.07930000000000001], [-0.0351, -0.0575, -0.06770000000000001]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.03200427871581388, 0.03233051029408968], "optimization_time": 3.451309919357... | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.36832466187853724) q[0];
h q[1];
ry(0.6996506090294817) q[1];
h q[2];
ry(1.4341160390699692) q[2];
h q[3];
ry(0.4350596706101028) q[3];
h q[4];
cx q[4], q[3];
ry(-0.4350596706101028) q[3];
cx q[4], q[3];
cx q[3], q[2];
ry(-1.4341160390699692) q[2];
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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIIIZI",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-2,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25
] | 0.972729 | [
0.8701193412202056,
1.4380100031703458,
1.3993012180589635,
2.8682320781399384,
1.8506303529500285,
-0.13033527471164086,
-0.8865785813861408,
-2.183550689572806,
1.5402963289907818,
0.48885940179874426,
-1.2256497487012028,
-0.16742620949253897,
2.0704686115455657,
-0.4358628055452006,
... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 108 |
7c13ad0365481b8f4c94fe0692e944b8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [84, 22], "expectation_value": -3.48906547191464, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 29, "probabilities": [0.060236500194565626, 0.8645367772924746], "optimization_time": 27.739251613616943} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(4) + 0.0 * Z(2) | 1 | 7 | 2 | {"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": ["1101100", "1101001", "1001101", "0101011", "0001111", "0110011"], "largest_eigenvalue": 8.5} | 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) ... | 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[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", ... | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IZIZIII",
"IIIZIZI",
"ZIZIIII",
"IIZIIZI",
"IIIZZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1,
-1,
-0.5,
0
] | 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 |
ead5b47990aff308f37407aa5bdb12e1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4},... | {"states": [768, 895], "expectation_value": -14.289092386424787, "params": [-0.0027, 2.1434, -0.0027, -0.7522000000000001, 3.1431, -0.0, 0.0027, 0.7797000000000001, -0.0023, 0.5231, -0.9847, 0.0012000000000000001, 1.2958, -0.001, 0.0015, 0.459, 0.0019, 0.455, -1.1932, -0.0036000000000000003, 1.1294, 0.0004, -0.0027, 3.... | -1.5 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + ... | 4 | 11 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10010000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-3.1415926063193176) q[0];
ry(0.5719188929810326) q[0];
rz(-1.5707963830114546) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-1.1093655072803594) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-1.1093655072803594) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.113996436043509... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZZI",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.571865 | [
-1.1093655072803594,
-0.11399643604350986,
-0.8086879609122805,
-1.570796357221916,
-0.9988774338138647
] | {
"n_parameters": 5,
"n_qubits": 11,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 171 |
319cf79193dd12504081b946bd90da21 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5},... | {"states": [1011, 1023], "expectation_value": -13.100599322911863, "params": null, "bitstrings": ["10000001100", "10000000000"], "total_optimization_steps": 100, "probabilities": [0.14257735606056124, 0.4392896860047688], "optimization_time": 179.36765718460083} | -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-1.89303170277094) q[0];
rz(0.04815504342172397) q[0];
rx(0.04940562618590294) q[1];
rz(0.10022055762014767) q[1];
rx(-0.00117869706831418) q[2];
rz(-0.00117869706831418) q[2];
rx(-0.0585098752994057) q[3];
rz(0.3370258089620377) q[3];
rx(-0.007584822232665154) q[4]... | null | {"node": 1} | {"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];\ncry(1.5706) q[10], 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... | [
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IIIIIIIIZZI",
"IZIIIIIIZII",
"ZIIIIIIIIZI",
"ZZIIIIIIIII",
"ZIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IIIIIIIII... | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973404 | [
-1.89303170277094,
0.04815504342172397,
0.04940562618590294,
0.10022055762014767,
-0.00117869706831418,
-0.0585098752994057,
0.3370258089620377,
-0.007584822232665154,
-0.18206102537738783,
-0.06946530189956951,
0.06237920807138015,
0.011950776610314844,
0.13816928844830917,
0.002799529328... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 4 |
-2458627907467398318 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [0, 4], [2, 5], [1, 3]]} | {"states": [26, 14], "expectation_value": -1.730311024878611, "params": null, "bitstrings": ["100101", "110001"], "total_optimization_steps": 37, "probabilities": [0.05106793339819197, 0.7341401491662072], "optimization_time": 22.1779465675354} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110001", "100101", "001110", "011010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(3.1498647044228827) q[0];
rz(1.0275517859378955) q[0];
rx(3.0434108636750685) q[1];
rz(-1.2615753283676772) q[1];
rx(0.13728111243922125) q[2];
rz(-0.6317390697821637) q[2];
rx(0.049460700154926235) q[3];
rz(0.05969368589954577) q[3];
rx(0.24736280122343762) q[4];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"ZZIIII",
"IZIIIZ",
"ZIIZII",
"IIZIZI",
"ZIIIII",
"IZIIII",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.974522 | [
3.1498647044228827,
1.0275517859378955,
3.0434108636750685,
-1.2615753283676772,
0.13728111243922125,
-0.6317390697821637,
0.049460700154926235,
0.05969368589954577,
0.24736280122343762,
-1.7305376013547338,
3.3032572019850623,
1.3296281036872712
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 18 |
30e28b56cad01a233ddf0894e9b7eaa8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [50, 13], "expectation_value": -0.7312490889116323, "params": [[-0.0431, -0.0507, -0.045200000000000004, -0.0318], [0.060500000000000005, 0.0627, 0.056600000000000004, 0.0489]], "bitstrings": ["001101", "110010"], "total_optimization_steps": 10, "probabilities": [0.028250911552967158, 0.028250911552967165], ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-1
] | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -3.996464044050928, "params": null, "bitstrings": ["001011", "001110"], "total_optimization_steps": 25, "probabilities": [0.06634810230025402, 0.9303665171785014], "optimization_time": 20.85929536819458} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
5dad688a93671469362a3d3d00961b05 | edge_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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [17, 12], "expectation_value": -0.2929812756031232, "params": [[0.0655, 0.0631, 0.0441, -0.0473], [-0.07100000000000001, -0.0683, -0.056, -0.0164]], "bitstrings": ["01110", "10011"], "total_optimization_steps": 10, "probabilities": [0.04259356638430254, 0.04259356638430255], "optimization_time": 3.1938374042... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | 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": []} | [
"IIIZZ",
"IIZIZ",
"ZIZII",
"IZZII",
"ZZIII",
"ZZZII",
"ZIIZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
2565093084812648423 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 11, 7], [0, 6, 8, 9, 10, 11], [0, 2, 4, 6, 8, 9, 11], [0, 2, 3, 4, 6, 7, 8, 10, 11], [0, 4, 5, 7, 10, 11], [0, 1, 5, 6, 9], [0, 1, 2, 3, 4, 5, 9, 10, 11], [0, 2, 5, 6, 8, 9], [0, 4, 5, 7, 9, 10], [0, 1, 3, 4, 5, 6, 8, 10, 11], [1, 2, 4, 5, 6, 9, 11... | {"states": [1919, 1407], "expectation_value": -1.8154278226809781, "params": [0.7815000000000001, 0.7824, 0.8112, 0.8057000000000001, 0.7856000000000001, 0.7908000000000001, 1.2899, 1.2877, 0.7838, 0.7803, 1.235, 1.2295, 1.2566000000000002, 1.2532, 1.3104, 1.3087, 0.8195, 0.8117000000000001, 1.3183, 1.3188, 1.325, 1.32... | 0.12103174603174602 * (Z(1) @ Z(4)) + 0.15873015873015872 * (Z(3) @ Z(4)) + 0.1349206349206349 * (Z(3) @ Z(1)) + 0.13055555555555554 * (Z(9) @ Z(4)) + 0.13333333333333333 * (Z(9) @ Z(1)) + 0.13055555555555554 * (Z(9) @ Z(3)) + 0.08492063492063492 * (Z(0) @ Z(4)) + 0.12777777777777777 * (Z(0) @ Z(1)) + 0.132142857142857... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.450000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.45, "smallest_bitstrings": ["101010000000"], "largest_eigenvalue": 13.000000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.5633892371760509) q[0];
rz(0.21552476631005177) q[0];
ry(1.369576065562871) q[1];
ry(0.33567134382996966) q[2];
ry(1.86504460019065) q[3];
ry(-0.41557802046767117) q[4];
ry(1.3322387791192023) q[5];
ry(1.2841226568628152) q[6];
ry(0.6964609696195136) q[7];
ry(1.45... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZIIZI",
"IIIIIIIZZIII",
"IIIIIIIIZIZI",
"IIZIIIIZIIII",
"IIZIIIIIIIZI",
"IIZIIIIIZIII",
"IIIIIIIZIIIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIZIIZ",
"IIZIIIIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIZI",
"IIIZIIIIZIII",
"IIZZIIIIIIII",
"IIIZIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIIIIIIIZI",
"IZIIIIIIZ... | [
0.12103174603174602,
0.15873015873015872,
0.1349206349206349,
0.13055555555555554,
0.13333333333333333,
0.13055555555555554,
0.08492063492063492,
0.12777777777777777,
0.13214285714285715,
0.13055555555555554,
0.12817460317460316,
0.08769841269841269,
0.10873015873015873,
0.0472222222222222... | 0.975591 | [
0.5633892371760509,
1.369576065562871,
0.33567134382996966,
1.86504460019065,
-0.41557802046767117,
1.3322387791192023,
1.2841226568628152,
0.6964609696195136,
1.4574351680976207,
1.5379612727924707,
1.5847583826026173,
1.7591350521602116,
0.43104953262010354,
0.21681545069030053,
0.1205... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -2.450000000000001,
"target_ratio": 0.97,
"target_value": -2.376500000000001
} | 25 |
3ab147cc948c972495cc9d6b1a04d6d2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -3.4890656588000333, "params": null, "bitstrings": ["001011", "011010"], "total_optimization_steps": 29, "probabilities": [0.06023624492936539, 0.8645378003136043], "optimization_time": 24.60888934135437} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.2617382474824059) q[0];
rz(-0.25556683543857517) q[0];
rx(3.2549553359388126) q[1];
rz(-0.1904150377377148) q[1];
rx(0.11533762007237594) q[2];
rz(0.15040563274986068) q[2];
rx(-0.11428203016202747) q[3];
rz(0.06697334278189641) q[3];
rx(3.1542430010311207) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IZIIZI",
"ZZIIII",
"ZIIIZI",
"IZIZII",
"IZZIII",
"IIZZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.977185 | [
-0.2617382474824059,
-0.33943598223353566,
3.2549553359388126,
-0.1904150377377148,
0.11533762007237594,
0.15040563274986068,
-0.11428203016202747,
0.06697334278189641,
3.1542430010311207,
0.320444768261287,
3.301363365899691,
-0.4991032485906577,
3.212741703886446,
-0.18414658324060862,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 28 |
11e3db404ceab325d959c6faf4c54e2e | 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": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [455, 454], "expectation_value": -2.937548176256904, "params": [0.7038, 0.7063, 0.6970000000000001, 0.6939000000000001, 0.6917, 0.6986, -0.006500000000000001, 0.0048000000000000004, -0.0221, -0.015700000000000002, -0.0137, -0.013800000000000002, 0.6318, 0.6448, 0.6985, 0.6971, 0.32280000000000003, 0.2565, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 14 | 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": ["000111001", "000110101", "100100011", "000111100", "010111000", "000110011"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.007049071499525501) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.007049071499525501) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(-0.007049071499525501) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.007049071499525501) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IZZZIIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIZIIIIZI",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.125,
0.125,
0.125,
-0.625,
-0.25,
-0.25,
0,
0,
-0.25
] | 0.970471 | [
-0.007049071499525501,
-0.9242864463836944,
1.4859283289212186,
1.648141262809948,
-1.3020927796447306,
1.3981695767054998,
-0.4690203450985888,
0.0064032613649141965,
0.6023180138289096,
0.14348718682098022,
0.27088386843300305
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 42 |
24ec85ceb3f94374e977a871ddcf35bc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [56, 60], "expectation_value": -1.2272014989588034, "params": [-0.0026000000000000003, 0.006900000000000001, 1.6021, 0.0095, 1.6106, 0.0025, 1.6008, 0.005200000000000001, 1.5973000000000002, 0.0021000000000000003, 1.0198, 0.0037, 0.5489, 0.0028, 0.0059, 0.0086, 0.0012000000000000001, 0.005200000000000001, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 7 | 1 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000011"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIIZZZ",
"IIIZIZZ",
"IIIZZIZ",
"IIIZZZI",
"IIIZZZZ",
"IIZIIZI",
"IZIIIZI",
"IZZIIII",
"IZZIIZI",
"ZIIIZII",
"ZIZIIII",
"IZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.625,
0.125,
-0.125,
-0.125,
-0.25,
-0.25,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
c309a5b49340fd246c3b4bf5605246e0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 8}, {"weight": 14, "sourc... | {"states": [425, 233], "expectation_value": -10.707979140342786, "params": [[0.057100000000000005], [-0.0852]], "bitstrings": ["001010110", "100010110"], "total_optimization_steps": 10, "probabilities": [0.005111556291758053, 0.005785920171450155], "optimization_time": 1.7779991626739502} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(2) + 6.5 * Z(0) + 12.5 * Z(1) + 12.0 * Z(3) + 2.5 * Z(4) + 9.5 * Z(5)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100010110"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.260636512428376) q[0];
rz(0.0011430584678437938) q[0];
rx(0.5708160015587255) q[1];
rz(-0.20261498390763766) q[1];
rx(0.3673464898453403) q[2];
rz(0.06230705922210955) q[2];
rx(-0.08634872272234737) q[3];
rz(0.4989820713716071) q[3];
rx(0.42936439513247243) q[4];
r... | 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];... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
6.5,
12.5,
12,
2.5,
9.5,
6,
13,
-9
] | 0.971144 | [
0.26063651242837593,
-0.24053022041624506,
0.5708160015587255,
0.04379252908037327,
0.36734648984534035,
0.12698123795332195,
-0.08634872272234735,
0.06446176792776889,
0.4293643951324724,
-0.35786124301264266,
0.47836199536933666,
0.1707959450818487,
-0.07267358067059938,
0.02011840381124... | {
"n_parameters": 171,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 50 |
71bc29fb36488a293ce19bf05d480b6c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [88, 7], "expectation_value": -7.952742546289935, "params": [[-0.053700000000000005, -0.0267, -0.0196, 0.016300000000000002], [0.081, 0.06960000000000001, 0.068, 0.0604]], "bitstrings": ["0100111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.02179268292492511, 0.02359530253305675], "optim... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6612840374081045) q[0];
rz(-pi) q[1];
ry(-0.03150573110831684) q[1];
h q[2];
ry(-0.43599685318391757) q[2];
h q[3];
h q[4];
ry(1.546350830551531) q[4];
h q[5];
cx q[5], q[2];
ry(0.43599685318391757) q[2];
cx q[5], q[2];
cx q[5], q[0];
ry(0.6612840374081045... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.75,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3.25
] | 0.972365 | [
-1.523491197219107,
-0.20073046165090452,
-0.8719937063678351,
1.546350830551531,
-1.322568074816209,
0.7336476421619882,
-0.5561918284302394,
1.2696012849732945,
-0.16936496001740498,
0.30413099721442094,
-0.6531582873808613,
0.3365504327496698,
-0.7065468577519943,
0.3133726368643047,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 71 |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [24, 6], "expectation_value": -0.990408307481226, "params": [[0.068, 0.056, 0.0616], [-0.0688, -0.051800000000000006, -0.0577]], "bitstrings": ["100111", "111001"], "total_optimization_steps": 10, "probabilities": [0.02471890872972131, 0.024718908729721337], "optimization_time": 3.857516288757324} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
f15c87a609214c22b332c05d233df1f7 | 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": [343, 342], "expectation_value": -116.94776510495643, "params": [0.5730000000000001, 0.0079, 3.0951, 0.0058000000000000005, -0.0021000000000000003, 0.0094, 3.0849, 0.0015, 0.0029000000000000002, 0.0008, 3.0953, 0.0022, 0.48140000000000005, 0.007, 3.0842, 0.008700000000000001, 3.095, 0.005, 1.4725000000000001... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(4) @ Z(8)) + 3.5 * Z(0) +... | 18 | 10 | 1 | {"smallest_eigenvalues": [-129.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["1010101001"], "largest_eigenvalue": 208.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.25437007112847254) q[0];
rz(0.03315341470568178) q[0];
rx(3.1016315724863586) q[1];
rz(-0.032167933825007045) q[1];
rx(0.026514099215611292) q[2];
rz(0.2841472602180192) q[2];
rx(3.042870649549119) q[3];
rz(0.10012491844507704) q[3];
rx(-0.004177074685926908) 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, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZIIIIZ",
"IIZIZIIIII",
"IIIZZIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIZIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3.5,
21.5,
21,
-6.5,
30,
3,
17,
18,
9,
-6.5
] | 0.973683 | [
0.2543700711284725,
0.07126961291343473,
3.1016315724863586,
-0.032167933825007045,
0.026514099215611292,
0.2841472602180192,
3.042870649549119,
0.10012491844507704,
-0.004177074685926908,
-0.15348572436578373,
3.170960251155103,
-0.06013336988661923,
0.3472961420052438,
0.0895294113289898... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -129,
"target_ratio": 0.97,
"target_value": -125.13
} | 7 |
e58428a6900eb2eef0cb4731fd8b4a99 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [45, 1], "expectation_value": -3.5409477355602164, "params": [[-0.08270000000000001, -0.0782, -0.0732], [0.08220000000000001, 0.0794, 0.0766]], "bitstrings": ["1010010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.030769482455973603, 0.03143177764216241], "optimization_time": 6.2440919876... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1010010", "1011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.690944416721413) q[0];
ry(0.054699542645833876) q[0];
rz(-1.1769404323163797) q[0];
rz(-2.3881872169052443) q[1];
ry(0.20723270974804353) q[1];
rz(-2.857031240934929) q[1];
rz(-2.4596888100774237) q[2];
ry(0.14080968323527931) q[2];
rz(-2.993631691840007) 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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.5,
-1.25,
-1,
-0.5,
-0.75,
-0.75,
2.5,
-0.75,
-0.75,
-0.25,
-0.5,
1.5,
-0.25,
-0.75,
-2.5,
1.75,
0.25,
0
] | 0.989705 | [
-0.022892677441185116,
0.2110669709326137,
-0.27094094257024,
0.6131998797071878,
-0.20111098885694167,
0.503350945250638,
0.020546732618873385,
0.3028834781091834,
0.2617247912178288,
0.41607371001171256,
-0.16363397257810378,
0.563891452430853,
0.8878830733377374,
-0.0634222979567583,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 9 |
-1801195649024593780 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [3, 4, 5], [2, 3, 4], [1, 3, 4], [0, 3, 5], [0, 1, 2], [0, 1, 3], [1, 3, 6], [0, 6], [0, 4]]} | {"states": [88, 55], "expectation_value": -0.08080071064362819, "params": [[0.0618], [-0.051300000000000005]], "bitstrings": ["0100111", "1001000"], "total_optimization_steps": 10, "probabilities": [0.00830857794151495, 0.008349518233965288], "optimization_time": 2.40604829788208} | 0.3333333333333333 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(0) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.9999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 8.999999999999998} | 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[2];
rz(0.06242344357873337) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.6829007892376222) q[5];
cx q[3], q[5];
cx q[2], q[5];
cx q[3], q[4];
rz(0.6829007892376222) q[4];
cx q[3], q[4];
cx q[3], q[1];
rz(0.682900789... | 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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(x1) q[5];
cx q[3], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIZZII",
"IZIZIII",
"IZIIZII",
"IIZZIII",
"IIZIZII",
"IZZIIII",
"IIIZIZI",
"IIIIZZI",
"IIZIIZI",
"IIIZIIZ",
"IIIIZIZ",
"IZIIIIZ",
"IIZIIIZ",
"IIIIIZZ",
"ZIIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII"
] | [
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
1.166666... | 0.572754 | [
0.06242344357873337,
0.6829007892376222,
-0.019414168328667963,
-0.1149343030514983,
1.136680110532316,
-0.8683982581087077
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -2.9999999999999996,
"target_ratio": 0.97,
"target_value": -2.9099999999999997
} | 148 |
b4386623ef42d59378644c97d49e9610 | 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": [94, 93], "expectation_value": -19.245417663729377, "params": [[-0.0371, -0.016900000000000002, 0.0536, 0.0574], [0.0707, 0.0777, 0.011600000000000001, -0.030500000000000003]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.01641435315996414, 0.021072884843939765]... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.0 * Z(0) + 7.0 * Z(2) + 5.5 * Z(3) + 18.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 132.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08721884646855041) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08721884646855041) q[2];
cx q[1], q[2];
h q[3];
cx q[2], q[3];
rz(0.08721884646855041) q[3];
cx q[2], q[3];
rz(-1.0730503463760335) q[3];
rx(1.105039714593039) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
2,
7,
5.5,
18,
19,
5,
10.5
] | 0.977482 | [
0.08721884646855041,
-1.310400955301092,
0.8609257949685372,
1.1797804650125223,
-1.0730503463760335,
-1.7402874989964554,
-1.2157574997078007,
0.7222803303040167,
-1.250584025873095,
1.1050397145930393,
-0.2453067931826156,
-0.48065206144719297,
0.5272825792139454,
-0.38909403682682453,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 62 |
be3312c5c1bc33b10be9c834d0af7350 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 8, "target":... | {"states": [483, 495], "expectation_value": -7.201312573630434, "params": [0.311, -0.26230000000000003, 0.3658, 0.058100000000000006, 0.2817, -0.2681, 0.3131, -0.0538, -0.0155, 0.0032, -0.3085, -0.09340000000000001, 0.2846, -0.041800000000000004, -0.23650000000000002, -0.1472, -0.0878, -0.077, 0.1075, -0.1699, 1.176000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 6 | 9 | 4 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000010000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.2981509844867557) q[0];
rz(1.6892537400776497) q[0];
rx(0.4727948839522916) q[1];
rz(1.25794667609434) q[1];
rx(0.382222792084763) q[2];
rz(1.8056559122353084) q[2];
rx(-0.2229001784717934) q[3];
rz(1.5523346467626133) q[3];
rx(0.0650634911757089) q[4];
rz(1.507945... | 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970192 | [
0.29815098448675564,
0.11845741328275271,
0.47279488395229163,
-0.31284965070055587,
0.38222279208476295,
0.2348595854404118,
-0.2229001784717934,
-0.018461680032282907,
0.0650634911757089,
-0.0628505784713939,
1.354464253273926,
-0.13597110321905556,
0.770035313022683,
0.7558693121603418,... | {
"n_parameters": 180,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 494 |
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -0.1151308287214994, "params": [[0.055], [-0.044500000000000005]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.01655371237273363, 0.016706844635856852], "optimization_time": 1.2141635417938232} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
0,
-1
] | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
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