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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fa12f3a697c97a90a7d75ad197dde7b9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [22, 21], "expectation_value": -2.9965156550505325, "params": null, "bitstrings": ["101001", "101010"], "total_optimization_steps": 18, "probabilities": [0.06700924257653981, 0.9297458928351173], "optimization_time": 10.595951080322266} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"], "largest_eigenvalue": 6.0} | 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(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
0,
0
] | 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 |
1544988c6452fa79840159cabec617a0 | 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}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capac... | {"states": [65, 1], "expectation_value": -0.6537503341471167, "params": [[-0.0455], [0.0562]], "bitstrings": ["1110111110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0012714027971266859, 0.00133302136799913], "optimization_time": 3.172322988510132} | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -1.0 * (Z(7) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111111110", "1111111100"], "largest_eigenvalue": 18.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.21991237157639332) q[0];
rz(1.8883065486132224) q[0];
rx(0.05960623267992694) q[1];
rz(1.8782531400359819) q[1];
rx(0.10333697073906706) q[2];
rz(1.8763157157781238) q[2];
rx(0.09107531421740404) q[3];
rz(1.5652853808599527) q[3];
rx(-0.31270790172871954) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIZIIIZII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIZIII"... | [
-0.75,
-0.5,
-0.25,
-0.25,
-1,
-0.75,
-1,
-0.25,
-0.5,
-1,
-1.5,
-0.5,
2.25,
-1,
-1,
-0.25,
-1,
-0.5,
-1.5,
-0.5,
-0.25,
-0.25,
-2.75,
0,
-2.75,
1.5,
1.75,
0.25,
3
] | 0.970376 | [
-0.21991237157639332,
0.3175102218183261,
0.05960623267992694,
0.3074568132410857,
0.10333697073906707,
0.3055193889832275,
0.09107531421740403,
-0.005510945934944347,
-0.31270790172871954,
0.13462944472402377,
0.18458068034576589,
0.05874535421467787,
0.5084344925593844,
0.026157723503872... | {
"n_parameters": 133,
"n_qubits": 10,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 20 |
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": -5.767290406383392, "params": [[0.0596, 0.0349, 0.0223], [-0.0545, -0.045700000000000005, -0.0402]], "bitstrings": ["0100111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.017116191205960727, 0.0181143100202619], "optimization_time": 5.999979496002197} | 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 *... | 7 | 7 | 3 | {"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 |
72183b4fd20ed92416e66387660c8f46 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [313, 312], "expectation_value": -3.5052432835025837, "params": [1.6064, 0.006, 0.0014, 0.0056, 0.14250000000000002, 0.004, 1.6105, 0.0009000000000000001, 1.6018000000000001, 0.0085, 1.5837, 0.0028, 0.37560000000000004, 0.009300000000000001, 0.14500000000000002, 0.0061, 1.5636, 0.0004, 0.0043, 0.0067, 0.0083... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(1) + ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["011101100", "011001110", "110010011", "110000111", "001111100", "011000111"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.03285394690326) q[0];
rz(-0.6265235258545032) q[0];
rx(0.12350243163313888) q[1];
rz(0.14002116303472478) q[1];
rx(0.016719603519626983) q[2];
rz(1.4166719919954165) q[2];
rx(2.763226038875769) q[3];
rz(-0.22738881640383335) q[3];
rx(2.8648251066612955) 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": []} | [
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIZIIIIZI",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"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,
-1,
-0.5,
-1,
-1.5,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.975454 | [
3.03285394690326,
-0.5922470198798966,
0.12350243163313888,
0.05705715796901728,
0.01671960351962698,
1.1821250059626955,
2.763226038875769,
-0.3559439463240753,
2.8648251066612955,
0.2571102598404841,
2.694060250444191,
-0.405009593380837,
0.10447657947006049,
0.05491160920453059,
0.017... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 20 |
8158251461114733176 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 6, 10], [1, 3, 5, 7], [0, 3, 4, 5, 6, 9], [8, 10, 6], [0, 1, 2, 4, 10], [2, 3, 5, 7, 8, 9, 10], [0, 3, 4, 5, 7, 8, 9, 10], [1, 2, 5, 7, 9, 10], [0, 1, 3, 9, 10], [0, 9, 10, 6], [0, 2, 3, 4, 5], [8, 1, 2, 4], [8, 9, 4, 1], [0, 1, 3, 4, 5, 6], [2, 3, ... | {"states": [1854, 1950], "expectation_value": -2.082993911395582, "params": [[0.3635], [-0.3497]], "bitstrings": ["00011000001", "00001100001"], "total_optimization_steps": 40, "probabilities": [0.002415404895291785, 0.002454265167029389], "optimization_time": 10.223595142364502} | 0.15000000000000002 * (Z(0) @ Z(2)) + 0.14166666666666666 * (Z(3) @ Z(2)) + 0.23452380952380952 * (Z(3) @ Z(0)) + 0.06785714285714287 * (Z(6) @ Z(2)) + 0.2 * (Z(6) @ Z(0)) + 0.13452380952380952 * (Z(6) @ Z(3)) + 0.15714285714285714 * (Z(10) @ Z(2)) + 0.2511904761904762 * (Z(10) @ Z(0)) + 0.14166666666666666 * (Z(10) @ ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.2630952380952376], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2297619047619053, "smallest_bitstrings": ["00001100001"], "largest_eigenvalue": 15.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0602849140244408) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.020993252377662554) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.061744950397667656) q[3];
cx q[0], q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.0182448055... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"ZIIIIIIIZII",
"ZIIIIIIIIIZ",
"ZIIIIIIZIII",
"ZIIIZIIIIII",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIZIIIIZI",
"ZIIIIIIIIZI",
"IIIIIZIIZII",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIZZIII... | [
0.15000000000000002,
0.14166666666666666,
0.23452380952380952,
0.06785714285714287,
0.2,
0.13452380952380952,
0.15714285714285714,
0.2511904761904762,
0.14166666666666666,
0.3,
0.16666666666666669,
0.13333333333333333,
0.16666666666666666,
0.03333333333333333,
0.13333333333333336,
0.12... | 0.970002 | [
-0.0602849140244408,
0.020993252377662554,
0.061744950397667656,
-0.018244805565850994,
-0.0037664894395027584,
-0.0008040457274091986,
0.02242286377240508,
0.0572561911771965,
0.04429225273781814,
-0.00040136201005219405,
-0.05540595902510905,
0.05755706941900264,
0.05283957935261757,
-0.... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -3.2630952380952376,
"target_ratio": 0.97,
"target_value": -3.1652023809523806
} | 142 |
62d59a2c57c5a5e03bc57aa993d43fe2 | 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": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -9.184001989390403, "params": [[0.0448], [-0.07350000000000001]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007402482663615335, 0.008649774479445684], "optimization_time": 1.809494972229004} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.0525935599156801) q[0];
rz(0.2970493753315515) q[0];
ry(-0.05280238195070901) q[1];
ry(1.9145293619602348) q[2];
ry(0.11896541183831788) q[3];
ry(1.6776262128736183) q[4];
ry(1.5989812940360673) q[5];
ry(1.6042391584874556) q[6];
ry(0.26475625811985654) q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
15.5,
1.5,
15.5,
8.5,
5.5,
22,
7,
8
] | 0.981549 | [
-0.0525935599156801,
-0.05280238195070901,
1.9145293619602348,
0.11896541183831788,
1.6776262128736183,
1.5989812940360673,
1.6042391584874556,
0.26475625811985654,
0.594098750663103,
-0.5369054493384858,
-0.1577385704159672,
0.24970879240192104,
0.9304805543958563,
0.24429898188147828,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
cbd7ab088c541541ce228c57ff45254d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target":... | {"states": [511, 496], "expectation_value": -2.0564599926772904, "params": [[0.0763], [-0.0666]], "bitstrings": ["000000000", "000001111"], "total_optimization_steps": 10, "probabilities": [0.0036799981309301997, 0.0037720150586038233], "optimization_time": 5.0391693115234375} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -2.5 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + -2.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["000001111"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.03393591820247379) q[0];
rz(0.1331853953737189) q[0];
rx(0.006609519266511793) q[1];
rz(-0.13814154024949898) q[1];
rx(0.011121208018633208) q[2];
rz(-0.1482307117149205) q[2];
rx(-0.07083453174811148) q[3];
rz(-0.394952448090268) q[3];
rx(2.6289166677302624) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIZIIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIIZI",
"IZIIIIIII",
"... | [
-2,
-2,
-2,
-2.5,
-2.5,
1,
0.5,
0.5,
-2,
-2.5,
1,
-2.5,
-2.5,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1,
1
] | 0.981144 | [
0.03393591820247379,
0.1331853953737189,
0.006609519266511793,
-0.13814154024949898,
0.011121208018633208,
-0.1482307117149205,
-0.07083453174811148,
-0.394952448090268,
2.6289166677302624,
-0.3797159925983019,
0.07509059490101919,
-0.21600807749711026,
0.012985302889803742,
0.044833135260... | {
"n_parameters": 16,
"n_qubits": 9,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 10 |
f20b14ccaf46fd91ed39b9c05edbe906 | 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": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [53, 78], "expectation_value": -0.06408871727771404, "params": [[0.075], [-0.08]], "bitstrings": ["1001010", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008663436767808726, 0.008663436767808732], "optimization_time": 5.221067428588867} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[3], q[2];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IZZIIII",
"IZZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"ZIZIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"III... | [
0.5,
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,
-0.25,
-0.125,
-0.25,
-0.125,
0,
0.125,
0.125
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
aff16494716409c93ae0c6b924acb428 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [9, 1], "expectation_value": -16.028299188387976, "params": null, "bitstrings": ["1110110", "1111110"], "total_optimization_steps": 26, "probabilities": [0.0842399858326309, 0.8771664858399296], "optimization_time": 18.451659679412842} | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 3 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.17213197499966565) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.07476442289212104) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.47901700998870134) q[4];
cx q[3], q[4];
rz(0.3504210231928404) q[3];
rx(0.01985686519069... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1.5,
-1.25,
3,
-0.25,
-0.25,
-0.5,
-2,
-0.5,
-1.25,
-0.75,
-2.25,
-0.25,
0.75,
3,
1.25,
-2.5,
0
] | 0.970352 | [
-0.17213197499966565,
-0.00464843643423988,
0.009698808451135995,
0.07476442289212104,
-0.47901700998870134,
0.02577905338994005,
-0.24727051080343204,
0.3504210231928386,
0.3119955203211965,
-0.8454856564029164,
0.2802866890985153,
-0.36926583491198095,
0.01985686519069632,
0.143665584847... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 130 |
eaeea4ff9d3e4d19d6efb5a5635dc927 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [401, 403], "expectation_value": -61.858404407411655, "params": [[[0.5777, 0.2854], [0.5920000000000001, 0.3875], [0.5954, 0.37870000000000004], [0.20070000000000002, 0.4288], [0.13720000000000002, 0.2546], [0.5898, 0.5741], [0.1845, 0.43220000000000003], [0.3305, 0.1887], [0.15710000000000002, 0.2278], [0.5... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(0) @ Z(8)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(9) @ Z(5)) + 3.0 * Z(3) + 15.0 * Z(2) + 26.5 * ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-113.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -110.0, "smallest_bitstrings": ["1001101100"], "largest_eigenvalue": 193.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.41794468628248793) q[0];
ry(0.6891540986100582) q[1];
ry(0.837510800357799) q[2];
ry(0.35112247022117604) q[3];
ry(0.03952026596090877) q[4];
ry(1.0841683740774801) q[5];
ry(0.08733919409365799) q[6];
ry(0.3411396741562218) q[7];
ry(-0.05349077290246724) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZZIIIII",
"IZIIIIIIIZ",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"ZIIIZIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3,
15,
26.5,
11.5,
24,
3.5,
6,
-5.5,
-6,
13
] | 0.973367 | [
0.41794468628248793,
0.6891540986100582,
0.837510800357799,
0.35112247022117604,
0.03952026596090877,
1.0841683740774801,
0.08733919409365799,
0.3411396741562218,
-0.05349077290246724,
0.8027395253917415,
0.018172939363760354,
-0.01818355594320817,
-0.04619284254593488,
0.04338976645983401... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -113,
"target_ratio": 0.97,
"target_value": -109.61
} | 77 |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [411, 413], "expectation_value": -5.710684425785296, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741881, 0.8578073217068284], "optimization_time": 99.92933559417725} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.815869706397565) q[0];
rz(-0.10266699916250133) q[0];
rx(2.938411203352395) q[1];
rz(-0.359908355829058) q[1];
rx(-0.027903752025837614) q[2];
rz(0.2181567296090501) q[2];
rx(3.0078051915562813) q[3];
rz(0.18559254664400454) q[3];
rx(0.33346172350010733) q[4];
rz(... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.97428 | [
3.467315600782021,
-0.08758761771970738,
2.938411203352395,
-0.359908355829058,
-0.027903752025837614,
0.2181567296090501,
3.0078051915562813,
0.18559254664400454,
0.33346172350010733,
0.007502932029881421,
3.1040264026485866,
0.08178816583284416,
0.10051399472175349,
-0.3883946671857684,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [1, 9], "expectation_value": -1.4225576678920482, "params": [[[0.6087, 0.0036000000000000003], [0.1499, 0.2316], [0.0023, 0.4359], [0.6096, 0.0016]], [[0.6007, 0.0036000000000000003], [0.15430000000000002, 0.23170000000000002], [0.0038, 0.4524], [0.6083000000000001, 0.0016]], [[0.6076, 0.0012000000000000001]... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"], "largest_eigenvalue": 3.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZIZ",
"ZZII",
"ZZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"ZIII",
"IZII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.25,
-0.75
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
cba3c0f3028bedd24c97c562399fe60f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -4.459852681503579, "params": [[[0.8777, 0.0083], [0.9583, 0.0068000000000000005], [0.9678, 0.0074], [1.0144, 0.0025], [1.7984, 0.0059], [1.5991, 0.0022], [1.8037, 0.0045000000000000005]]], "bitstrings": ["1111010", "1111000"], "total_optimization_steps": 180, "probabilities": [0... | 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)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) 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] 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... | {"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,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
520b4019fb4986d4ab684733a5ebe8d8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [249, 220], "expectation_value": -24.115012035076457, "params": [[0.0316, 0.0152, 0.0021000000000000003], [-0.06810000000000001, -0.0713, -0.058800000000000005]], "bitstrings": ["100000110", "100100011"], "total_optimization_steps": 10, "probabilities": [0.010537824262322429, 0.011939548576303015], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.4463129710864574) q[0];
rz(-pi) q[1];
ry(-1.2426624200713647) q[1];
ry(-1.1969951662422582) q[2];
rz(-pi) q[2];
h q[3];
ry(1.295402841617871) q[3];
rz(-pi) q[4];
ry(-1.09230066430897) q[4];
ry(-1.0797131317453423) q[5];
rz(-pi) q[5];
h q[6];
ry(7.916716500... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
3,
13.5,
13,
9,
10,
12.5,
6.5,
5
] | 0.970481 | [
62.424019866519146,
62.83252087601606,
37.4514583039102,
7.916716500547319,
62.899917161244026,
-5.327529590648128,
17.8716104702074,
-0.4868593117644719,
-3.671026591069804,
2.913608838439612,
-13.419835438932315,
14.092630322700535,
2.590805683235742,
-1.140616245352763,
0.271174301315... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 50 |
f06cfa431b1d21951bd72bdc4807e338 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [40, 56], "expectation_value": -1.5432863279369617, "params": [-0.002, 0.38680000000000003, 0.5019, -0.0019, 0.4253, 0.0022, 0.4898, 0.0049, 0.0002, 0.06810000000000001, 0.35850000000000004, -0.020300000000000002, 0.3002, 0.0959, -0.004200000000000001, 0.3849, 0.5039, -0.0028, 0.4242, -0.0012000000000000001,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 18 | 7 | 4 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.75, "smallest_bitstrings": ["1011100", "1010101", "1001110", "1000111"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.04358228463512977) q[0];
cx q[2], q[0];
rz(0.629790216378117) q[2];
rx(-0.6836283096730165) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04358228463512977) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.04358228463512977) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIIZZZ",
"IIIZIZZ",
"IIIZZIZ",
"IIIZZZI",
"IIIZZZZ",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZIIZI",
"ZIZIIZI",
"ZZIIIZI",
"ZZZIIII",
"ZZZIIZI",
"IZIIZII",
"ZIIZIII",
"III... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.625,
0.25,
-0.125,
-0.125,
-0.625,
-0.125,
-0.125
] | 0.987514 | [
-0.04358228463512977,
0.6297902163781169,
-1.038896045838605,
0.8898531274270675,
-0.6836283096730164,
0.08270608385341727,
-0.4891641665369492,
0.3380455981667369,
-1.2087704809257387,
1.2365945368731672,
-0.5651441507024032,
-0.44988414168676605,
-0.273403240245268
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 23 |
ca80a1081391714ec98f68c48872633f | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [0, 1], "expectation_value": -4.518096687948281, "params": [[[0.0016, 0.4746], [0.0028, 0.5295], [-0.0022, -0.0063], [0.0024000000000000002, 0.5999], [0.0022, 0.606], [0.0026000000000000003, 0.5655], [0.8069000000000001, 0.0036000000000000003]], [[0.0015, 0.009600000000000001], [0.0027, 0.0002], [0.0073, 0.0... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1111110", "1000000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1687906414607295) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03011574609962077) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.07378267174157299) q[5];
cx q[1], q[5];
rz(1.0752020301122274) q[1];
rx(-1.5815568... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.5,
-0.75,
-0.25,
-1.5,
1,
-0.5,
-0.75,
-0.25,
-0.25,
0,
-0.25,
0.25,
0.25,
0.25,
0.25,
-0.75
] | 0.969704 | [
-0.1687906414607295,
0.03011574609962077,
0.07378267174157299,
-0.07442929425137337,
0.14029338596054416,
1.0752020301122276,
1.2905015656937975,
-1.581556863044307,
-0.6601184714021492,
0.18906633086427665,
0.010349996280108478,
0.283721497150828,
1.0085271543039225,
1.5874609337062044,
... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
-3173261753743397568 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 4], [1, 5], [2, 3], [3, 5]]} | {"states": [43, 54], "expectation_value": -0.584390595272775, "params": [[-0.3795], [0.37920000000000004]], "bitstrings": ["010100", "001001"], "total_optimization_steps": 50, "probabilities": [0.040415259028390105, 0.040415259028390105], "optimization_time": 1.2403676509857178} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * Z(1) + 0.125 * Z(0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.75, -1.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["010100", "001001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.1117228435737718) q[0];
h q[1];
ry(1.4022657954411455) q[1];
h q[2];
ry(-0.6981292483233106) q[2];
h q[3];
ry(-2.093748719923229) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.2538225619631135) q[5];
cx q[3], q[5];
ry(0.2538225619631135) q[5];
cx q[3], q[5];
ry(-0.2166... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0
] | 0.972643 | [
-0.507645123926227,
1.4022657954411455,
-0.43334379243757487,
1.4717502774138032,
-1.3962584966466212,
-0.6594548837325275,
0.12442434732219015,
0.23997820959421848,
0.3616845034783619,
0.32253577929994126,
-0.2694617619949979,
0.38944063352027963,
-0.2105124378671163,
0.2234456871475436,
... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 12 |
3428200423048858736 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[4, 6], [8, 1, 6], [2, 7], [9, 10, 6], [0, 9, 6], [9, 3, 5], [0, 11], [1, 2], [8, 0, 5], [9, 4, 5], [0, 3], [1, 3, 4], [2, 4, 5], [3, 7], [8, 9, 11], [1, 4, 7], [8, 1, 7], [0, 1], [11, 7], [8, 10], [0, 10], [1, 11], [8, 2, 4], [9, 3, 4], [0, 7], [4, 5, 7]... | {"states": [3107, 3111], "expectation_value": -6.213538249135448, "params": [[[3.1548000000000003, 0.0033], [3.1392, 0.0053], [0.0023, 0.0011], [0.003, 0.0071], [-0.0018000000000000002, 0.0046], [0.9421, 0.0074], [3.1394, 0.008], [0.9229, 0.0021000000000000003], [0.0031000000000000003, 0.004], [1.5984, 0.0099], [3.1390... | 0.5 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(10) @ Z(8)) + 0.16666666666666666 * (Z(10) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(10)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.3333333333333333 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(1)) + 0.33333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.000000000000001, "smallest_bitstrings": ["001111011000"], "largest_eigenvalue": 21.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.187436559145393) q[0];
rz(-0.18231732408286547) q[0];
rx(3.2134663162793338) q[1];
rz(0.5247222663660405) q[1];
rx(-0.21425483524380673) q[2];
rz(0.19354907662046775) q[2];
rx(0.014588028942790227) q[3];
rz(-0.009010778238817768) q[3];
rx(-0.14307140335280857) 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": []} | [
"IIIZIZIIIIII",
"IZIZIIIIIIII",
"IZIIIZIIIIII",
"IIIZIIIIIIZI",
"IIIIIZIIIIZI",
"IZIIIIIIIIZI",
"IIIIIZIZIIII",
"IZIIIIIZIIII",
"IIIIIIIZIIZI",
"IIZIIZIIIIII",
"IZZIIIIIIIII",
"IIZIIIIIIIZI",
"IIZIIIIZIIII",
"ZIIZIIIIIIII",
"ZIIIIZIIIIII",
"ZZIIIIIIIIII",
"IIIZIIIIIZII",
"IZIIIIIII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16... | 0.97546 | [
3.187436559145393,
-0.18231732408286547,
3.2134663162793338,
0.5247222663660405,
-0.21425483524380673,
0.19354907662046775,
0.014588028942790227,
-0.009010778238817768,
-0.14307140335280857,
-0.13951083872328562,
-0.2974347681830463,
-0.06717500608340453,
3.2936715681910167,
-0.07680169647... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -7.333333333333333,
"target_ratio": 0.97,
"target_value": -7.113333333333333
} | 15 |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [20, 10], "expectation_value": -0.2900242388255191, "params": [[-0.0718, -0.0453], [0.0747, 0.0608]], "bitstrings": ["01011", "10101"], "total_optimization_steps": 10, "probabilities": [0.036851051791204466, 0.03836432734111063], "optimization_time": 2.3797409534454346} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
-2974607800008069348 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 5, 6], [1, 2, 3, 7], [3, 1, 11, 9], [10, 11, 4], [2, 3, 4, 6], [0, 2, 11, 4], [8, 0, 10, 5], [3, 4, 6, 7], [1, 3, 5], [8, 7], [11, 6], [9, 10, 2, 7], [8, 3], [8, 1, 2, 9], [8, 9, 10, 4], [1, 9, 6], [0, 9, 3, 4], [8, 1, 10, 0], [8, 1, 4]]} | {"states": [3821, 3820], "expectation_value": -4.227310880695573, "params": [3.1387, 0.006500000000000001, 3.1398, 0.0067, 3.1396, 0.009600000000000001, 0.0058000000000000005, 0.0025, 1.8537000000000001, 0.0033, 3.1397, 0.0092, 3.1392, 0.0037, 0.6572, 0.0056, 2.0373, 0.0006000000000000001, 2.4491, 0.0048000000000000004... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.333333... | 16 | 12 | 1 | {"smallest_eigenvalues": [-4.749999999999999, -4.749999999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.666666666666665, "smallest_bitstrings": ["000100010011", "000110010010"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-3.061343073051077) q[0];
rz(0.2713112526124659) q[0];
rx(3.1140806605293356) q[1];
rz(-0.5695236557651824) q[1];
cx q[1], q[0];
rz(-0.18084238298843663) q[0];
cx q[1], q[0];
rz(0.11218305297357743) q[1];
rx(3.130165188817925) q[2];
rz(0.030421172885062298) 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": []} | [
"IIIIIIIIIZZI",
"IIIIZIIIIZII",
"IIIIZIIIIIZI",
"IIIZIIIIIZII",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IIIIIIIZIZII",
"IIIIIIIZIIZI",
"IIIZIIIZIIII",
"IIIIIIZIIIZI",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIIIIIZZIIII",
"IIZIIIIIIZII",
"IIZIIIIIIIZI",
"IIZZIIIIIIII",
"IIZIIIIZIIII",
"IIZIIIZII... | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.... | 0.970969 | [
3.2218422341285096,
0.09046886962402993,
3.1140806605293356,
-0.5695236557651824,
3.130165188817925,
0.034702317349632195,
-0.10854943830961017,
0.1761606377086815,
1.5624575025277803,
-0.07866119201966151,
3.2037361215786997,
-0.006076201102475816,
3.2574391258550426,
0.44987023083926153,... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -4.749999999999999,
"target_ratio": 0.97,
"target_value": -4.607499999999999
} | 13 |
1f5d7944e50ebc48c654989c65672b6f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 1, ... | {"states": [33, 1], "expectation_value": -0.26449893877255803, "params": [[0.0692], [-0.0699]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004816338468110481, 0.005073550880562679], "optimization_time": 1.9510498046875} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.09738613442502557) q[0];
rz(0.435952912591826) q[0];
rx(-0.047169160464950136) q[1];
rz(-0.90779886270394) q[1];
rx(-0.13931343964056148) q[2];
rz(0.2905097873613709) q[2];
rx(-0.03624817296492008) q[3];
rz(-0.01949650125297886) q[3];
rx(0.07846903487514233) 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;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZIIZII",
"IZIZIIII",
"IZZIIIII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.5,
-0.75,
-0.25,
1,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
1.25,
-0.25,
-0.75,
1,
-1.25,
0.25,
0.5,
-0.75
] | 0.971658 | [
0.0973861344250256,
0.16265904465971007,
-0.047169160464950136,
-0.7941578805206778,
-0.13931343964056148,
0.37706575029109946,
-0.03624817296492008,
-0.1970044103307955,
0.07846903487514233,
-0.11358981143886039,
0.012705731843903292,
-0.4464676850645991,
0.8094954770296601,
1.55968326296... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 10 |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [367, 363], "expectation_value": -3.2142842274299714, "params": [3.1229, 0.006200000000000001, 1.2966, 0.003, 2.2441, 0.0027, 2.8318000000000003, 0.0081, 1.2897, 0.0039000000000000003, 3.0789, 0.0034000000000000002, 1.5475, 0.0037, 3.1616, 0.0014, 2.9947000000000004, 0.0047, 0.008, 0.005200000000000001, 0.00... | 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 * ... | 18 | 9 | 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], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001100010", "010010001", "001001100", "100100010", "100010001", "001001010", "001010100", "100001010", "100100001", "010001100",... | 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 |
191f1083ef0517287337898d8066b77b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -20.118826998253244, "params": [-0.0106, 0.2117, 0.0033, 0.25270000000000004, 0.0015, 0.3129, 0.0053, 0.2979, 0.0082, 0.22010000000000002, -0.0009000000000000001, 0.306, 0.40690000000000004, 0.0027, 0.40190000000000003, 0.0028, 0.0034000000000000002, 0.272, 0.002400000000000000... | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(7)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(1) @ Z(10)) + -0.25 * (Z(4) @ Z(6)) + -1.25 * ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.6993447198429451) q[0];
rz(1.5462262442357684) q[0];
rx(-0.028069621177406277) q[1];
rz(1.518569546617302) q[1];
rx(-0.3760985666129109) q[2];
rz(1.615923563321088) q[2];
rx(1.3929679035420268) q[3];
rz(1.6475445400159856) q[3];
rx(0.08076953387331237) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIIIZIZIIIII",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IZIIIIIIIIIZ",
"IZIIZIIIIIII",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIIZIIIIIZI",
"IZIIIIIIIIZI",
"IIIIIZIZIIII",
"IIIIZIIZIIII",
"IZIIIIIZIIII",
"IIIIIIIZIIZI",
"IIZIIIZIIIII",
"IIZIZIIII... | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-1.25,
-1,
-0.5,
-0.25,
-0.75,
-1.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
2,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
1,
-0.25,
-2.25,
1.5,
... | 0.973304 | [
-0.6993447198429452,
-0.024570082559128667,
-0.028069621177406277,
-0.05222678017759505,
-0.3760985666129108,
0.045127236526191314,
1.3929679035420268,
0.07674821322108963,
0.08076953387331237,
-0.04927503615518953,
0.0636873233275134,
0.3113016495043947,
-0.04532335708088863,
0.5734635440... | {
"n_parameters": 52,
"n_qubits": 12,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 7 |
8c96d267ad9dac3e5a4c4afd9dbbc4ee | 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": 6}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -10.820419932994124, "params": [[[0.0047, -0.0195], [-0.3919, 0.0023], [-0.0049, -0.0028], [0.0061, 0.0027], [0.0091, 0.0022], [0.0089, 0.0022], [0.0047, 0.0024000000000000002], [0.0038, 0.0023], [0.0066, -0.025900000000000003], [-1.7937, -0.0114]], [[0.046200000000000005, -1... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(9) @ Z(6)) + 0.75 * (Z(9) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.03524379931475044) q[0];
ry(-0.06619315484531053) q[1];
ry(-0.07422941085817349) q[2];
ry(0.3219794189838851) q[3];
ry(0.16556887095245132) q[4];
ry(-0.07422941085817349) q[5];
ry(0.07018962010941565) q[6];
ry(0.021468113930830993) q[7];
ry(1.7244802508226569) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"ZIIZIIIIII",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"ZIZIIIIIII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIIZIZIIII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIZIIZIIII",
"IIIZZIIIII",
"ZIIIZIIIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIZIII",
"IZZIIIIIII"... | [
-0.5,
-0.75,
0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-1,
-0.25,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
0,
-0.25,
-1.75,
-1,
0.75,
0.75,
-0.75,
0,
1.25,
1
] | 0.971006 | [
0.03524379931475044,
-0.06619315484531053,
-0.07422941085817349,
0.3219794189838851,
0.16556887095245132,
0.07018962010941565,
0.021468113930830993,
1.7244802508226569,
0.3769339050187827,
0.04897842057203079,
0.018469575676951042,
-0.007691737484242241,
-0.00933076346550794,
0.00523364354... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 82 |
2094f2acbed5b66731131105b770d25b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [14, 15], "expectation_value": -4.444966445716053, "params": [0.044700000000000004, 0.3478, -0.0129, 0.364, -0.0222, 0.3749, -0.0201, 0.3794, 0.6, 0.193, 0.6034, -0.002, 0.5956, 0.0023, 0.5942000000000001, 0.001, 0.0417, 0.3577, -0.0164, 0.3708, -0.013600000000000001, 0.37610000000000005, -0.0205, 0.3789, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(5) + -1.0 * Z(7) + -... | 3 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.05935693553029532) q[0];
rz(0.07112394563121693) q[0];
rx(-0.23045540428428826) q[1];
rz(0.4184473913572724) q[1];
rx(-0.09833214695347678) q[2];
rz(0.32683125565212023) q[2];
rx(0.17883646336013367) q[3];
rz(0.1819020259898565) q[3];
rx(0.7163387243984086) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIIZZI",
"IZIIIIZI",
"IZIIIZII",
"ZIIIZIII",
"IIIIZZII",
"IZIIZIII",
"IIIZIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
0,
-1,
-1.5,
-1,
-1.5,
-0.5
] | 0.971149 | [
0.05935693553029532,
-0.035053489556173344,
-0.2304554042842882,
0.36540799664709944,
-0.09833214695347678,
0.1961848744613552,
0.17883646336013373,
0.2235242018146045,
0.7163387243984087,
-0.06578135831761102,
0.423331604588395,
0.09359654920455629,
0.807622992363191,
-0.00821180770876176... | {
"n_parameters": 79,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 17 |
4700601e722e5f0a0c40acc2968ffc97 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [3, 17], "expectation_value": -3.218237001464646, "params": [[0.013600000000000001, 0.057600000000000005, 0.049, 0.051800000000000006], [-0.0016, -0.0431, -0.0495, -0.0637]], "bitstrings": ["11100", "01110"], "total_optimization_steps": 10, "probabilities": [0.0611259343670908, 0.0625202991083785], "optimiza... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (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)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 11 | 5 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["01110", "11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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,
1.75,
2,
1.75,
2,
1.75,
2,
2,
-2.75,
-2.75,
-2.75,
-2.5,
-2.25
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
238da0afcff22b3cc95b712a7ad70447 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [48, 28], "expectation_value": -1.2639939511665648, "params": [[-0.0751, -0.0775, -0.0848], [0.0755, 0.0728, 0.0756]], "bitstrings": ["001111", "100011"], "total_optimization_steps": 10, "probabilities": [0.027993259748971055, 0.030883382090199918], "optimization_time": 3.908628463745117} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15400852379458427) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.15400852379458427) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.15400852379458427) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.15400852379458427) q[0];
cx q[3], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1.5,
-1.5,
-0.5
] | 0.699923 | [
0.15400852379458427,
-0.16652351332765766,
0.9539397028763626,
1.06600767204121,
-0.6690269654905423,
0.34760366534217846,
-0.3361262054812998,
1.1832235155449329,
-0.26439160478237117,
-0.374497929541955
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 323 |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [49, 17], "expectation_value": -11.165815699098031, "params": null, "bitstrings": ["001110", "101110"], "total_optimization_steps": 41, "probabilities": [0.3178122281742425, 0.38263760981447176], "optimization_time": 35.512242794036865} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.2133399821377441) q[0];
rz(-pi) q[0];
h q[1];
ry(0.7495760698632566) q[1];
h q[2];
ry(-0.08887877219422799) q[3];
rz(-pi) q[3];
ry(-0.19278541536231975) q[4];
rz(-pi) q[4];
h q[5];
ry(1.391295280431935) q[5];
cx q[5], q[4];
ry(-0.3176700012489248) q[4];
cx q[5], q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5709) 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 \"stdgat... | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"ZIIIIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
-1.5,
-2.25,
-1.75,
3.5,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.25,
-2.75,
3,
1.75,
-0.5
] | 0.975641 | [
1.391295280431935,
-2.0329462789083035,
-1.6956809126815016,
-1.1529907529787395,
0.6353400024978496,
-0.45032158544803697,
-0.6578536032438583,
1.4991521397265133,
-0.28415573829494634,
-1.8771011169893437,
0.14516579000424013,
1.3509798685023018,
-0.8662456018688108,
-1.517406511507313,
... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 21 |
7142009000585274537 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 5, 7, 8], [10, 2, 4, 6], [0, 3, 12], [1, 2, 8, 11, 12], [3, 6, 7, 9, 10], [8, 12, 6], [9, 3, 12], [9, 2], [0, 1, 5, 6, 10, 11], [1, 3, 4, 5, 11], [2, 3, 12, 6], [8, 1, 3, 6], [3, 4, 6, 10, 11], [1, 2, 5, 6, 7, 12], [1, 11, 9], [0, 4, 5, 8, 11],... | {"states": [7164, 7160], "expectation_value": -7.455585247409882, "params": [[[3.1433, 0.0024000000000000002, 0.0073, 0.0019], [0.0031000000000000003, 0.6541, 1.5676, 0.0077], [-0.0026000000000000003, 0.0, 0.0028, 0.0001], [1.0373, -0.0027, 1.0485, 0.009300000000000001], [3.1444, 0.006500000000000001, 0.005, 0.0022], [... | 0.36666666666666664 * (Z(0) @ Z(1)) + 0.2 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.18333333333333332 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(5)) + 0.3 * (Z(8) @ Z(1)) + 0.35 * (Z(8) @ Z(0)) + 0.18333333333333335 * (Z(8) @ Z(5)) + 0.2 * (Z(8) @ Z(7)) + 0.2 * (Z(10) @ Z(1)) + 0.15 * (Z(... | 12 | 13 | 1 | {"smallest_eigenvalues": [-7.7333333333333325], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.583333333333332, "smallest_bitstrings": ["0010000000111"], "largest_eigenvalue": 36.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(3.098031716800171) q[0];
rz(-0.13649715642523397) q[0];
ry(-0.051432235356150366) q[1];
rz(0.36047086871775985) q[1];
cz q[1], q[0];
ry(3.110012835777113) q[1];
ry(-0.02137296753173372) q[2];
rz(0.08065721749304283) q[2];
ry(0.9771057102710511) q[3];
rz(-0.061495562... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIZIIIIIZI",
"IIIIIZIIIIIIZ",
"IIIIIZIZIIIII",
"IIIIZIIIIIIZI",
"IIIIZIIIIIIIZ",
"IIIIZIIZIIIII",
"IIIIZZIIIIIII",
"IIZIIIIIIIIZI",
"IIZIIIIIIIIIZ",
"IIZIIIIZIIIII",
"IIZIIZIIIIIII",
"IIZIZIIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZ... | [
0.36666666666666664,
0.2,
0.25,
0.18333333333333332,
0.21666666666666667,
0.25,
0.3,
0.35,
0.18333333333333335,
0.2,
0.2,
0.15,
0.1,
0.11666666666666667,
0.11666666666666667,
0.23333333333333334,
0.16666666666666669,
0.06666666666666667,
0.2,
0.16666666666666669,
0.1166666666... | 0.971398 | [
3.098031716800171,
-0.13649715642523397,
-0.051432235356150366,
0.36047086871775985,
-0.02137296753173372,
0.08065721749304283,
0.9771057102710511,
-0.06149556255174473,
3.1065389307933162,
0.170606969521156,
0.02662537216924792,
0.6940091584117434,
3.250226347351741,
-0.047670973366279616... | {
"n_parameters": 35,
"n_qubits": 13,
"optimal_eigenvalue": -7.7333333333333325,
"target_ratio": 0.97,
"target_value": -7.501333333333332
} | 5 |
-3182680652728868492 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6, 7], [0, 1, 2, 4, 6, 7], [0, 1, 2, 3, 4], [0, 5], [5, 6], [4, 5]]} | {"states": [219, 155], "expectation_value": -1.47716136061295, "params": [1.2019, -0.1027, 1.2018, 0.0097, 1.1701000000000001, -0.1603, 0.9862000000000001, 0.0046, 1.1699000000000002, -0.1608, 0.9815, 0.0086, 1.1934, -0.0951, 1.1803000000000001, 0.0037, 1.2045000000000001, -0.0678, 1.2066000000000001, 0.0067, 0.3938000... | 0.11666666666666667 * (Z(1) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(2)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(2)) + 0.06666666666666667 * (Z(6) @ Z(1)) + 0.03333333333333... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.1], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0999999999999996, "smallest_bitstrings": ["01100100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(8.326210584655193e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-4.492779852640545e-08) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-4.492779852640545e-08) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(8.326210584655193e-08) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZZIIII",
"IZZIIII... | [
0.11666666666666667,
0.08333333333333334,
0.08333333333333334,
0.11666666666666667,
0.11666666666666667,
0.08333333333333334,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.066666666666666... | 0.744898 | [
8.326210584655193e-8,
-4.492779852640545e-8,
-7.158252270191018e-9,
-4.9420502461115786e-8,
1.1543346554076846e-8,
1.304688391635964e-9,
0.6082456807607461,
1.5707962532767987,
1.5707962668598956,
-1.5707963700317975,
-1.570796293804449
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -2.1,
"target_ratio": 0.97,
"target_value": -2.037
} | 255 |
106d68c84acc26faab4051c9a532942f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [162, 163], "expectation_value": -3.4987948879833355, "params": [[0.7462000000000001, -0.1643, 0.6654, -0.0031000000000000003, -0.0025, 0.40030000000000004, 0.7803, 0.1552], [0.6894, -0.0718, 0.6681, -0.0007, -0.0026000000000000003, 0.5338, 0.7589, -0.0409], [0.7463000000000001, 0.395, 0.6586000000000001, -0... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(7) + 0.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) | 10 | 8 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["01011010", "00011011", "00011101", "01001101", "01011100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.6109765000332174) q[0];
ry(-0.3220366008320943) q[1];
ry(0.7131801845705634) q[2];
ry(-0.005281828913603459) q[3];
ry(0.06851542378614162) q[4];
ry(0.31135939750697833) q[5];
ry(0.9921813294021842) q[6];
ry(0.4363756008068667) q[7];
cz q[7], q[6];
cz q[6], q[5];
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": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIZIZI",
"ZIIIIIZI",
"ZIIIZIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1,
-0.5,
0,
-0.5,
0
] | 0.97218 | [
0.6109765000332174,
-0.3220366008320943,
0.7131801845705634,
-0.005281828913603459,
0.06851542378614162,
0.31135939750697833,
0.9921813294021842,
0.4363756008068667,
0.8743566802141938,
0.12267790891619423,
0.549384807702298,
-0.16541557040665794,
0.04887388410671989,
0.6665383219884822,
... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 15 |
5f0d472ec5410cdf4159a3a34819a3f9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 6}, {"capac... | {"states": [319, 383], "expectation_value": -14.323354790187677, "params": null, "bitstrings": ["1011000000", "1010000000"], "total_optimization_steps": 100, "probabilities": [0.1566848691028799, 0.49808372619384167], "optimization_time": 245.92067956924438} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(4)) + -1.5 * (Z(1) @ Z(6)) + -1.5 * (Z(8) @ Z(4)) + -1.75 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + 2.0 * (Z(9) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(6)) + -1.75 * (Z(9) @ Z(8)) + -1.25 * (Z(5) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.25, -20.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.25, "smallest_bitstrings": ["1011000000", "1010000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.003300291403969008) q[0];
ry(0.2045516330731137) q[1];
ry(-1.0411089308953727) q[2];
ry(-0.004201418092379321) q[3];
ry(0.08032966380585851) q[4];
ry(0.1067266879423637) q[5];
ry(-0.13943884422598626) q[6];
ry(-0.13887098310209217) q[7];
ry(1.6817211764008098) q[8... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[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]... | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IZIIIIIIZI",
"IIIIIZZIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIZZIIII",
"IIIIZIIIZI",
"IZIIZIIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IIZIZIIIII"... | [
-0.5,
-1.25,
-1,
-1,
-1.5,
-1.5,
-1.75,
-0.5,
-0.25,
2,
-1.5,
-0.25,
-1.75,
-1.25,
-0.25,
-0.25,
-1,
-1.5,
-1.25,
-1,
-2.5,
-0.25,
1.75,
1,
-0.75,
1.25,
-0.25,
-2.75,
2.75,
-0.25
] | 0.972725 | [
0.003300291403969008,
0.2045516330731137,
-1.0411089308953727,
-0.004201418092379321,
0.08032966380585851,
0.1067266879423637,
-0.13943884422598626,
-0.13887098310209217,
1.6817211764008098,
0.20190479459099459,
0.15924826385340177,
-0.03165983045157577,
0.1270727647979037,
0.0209932499804... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -20.25,
"target_ratio": 0.97,
"target_value": -19.6425
} | 28 |
-7713206369362567734 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 9, 3], [1, 5, 7], [0, 1], [8, 1, 4], [9, 3, 1], [8, 1, 3], [0, 6, 7], [0, 8, 5], [4, 5], [1, 2, 5], [2, 3, 6], [1, 6], [1, 3, 5], [1, 3, 7], [4, 7], [8, 9, 0], [8, 6], [8, 5, 7], [0, 3, 4]]} | {"states": [605, 726], "expectation_value": -1.2351006730977583, "params": [[0.1759], [-0.1774]], "bitstrings": ["0110100010", "0100101001"], "total_optimization_steps": 20, "probabilities": [0.0021072435883762856, 0.0021481890429886916], "optimization_time": 3.8271420001983643} | 0.3333333333333333 * (Z(0) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.5 * (Z(1) @ Z(0)) + 0.6666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.166666666666... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999999, "smallest_bitstrings": ["0100101001"], "largest_eigenvalue": 16.499999999999996} | 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];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(0.04719399645269638) q[0];
cx q[9], q[0];
cx q[9], q[3];
rz(0.04719399645269638) q[3];
cx q[9], q[3];
cx q[0], q[3];
rz(0.04719399645269638) q[3];
cx q[0], q[3];
cx q[9], ... | 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[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[9], q[0];
rz(x0) q[0];
cx q[9], q... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIIIIIZIIZ",
"ZIIIIIIIZI",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZIIIZI",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"ZZIIIIIIII",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZZIIIIIII",
"IIIIIZIIIZ"... | [
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.6666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666... | 0.538957 | [
0.04719399645269638,
0.018973905172806255,
0.5938206877680214,
0.7072326591507698,
0.9494447224181566,
0.4677147344027591,
-0.8142248421000691
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -4.833333333333333,
"target_ratio": 0.97,
"target_value": -4.688333333333333
} | 189 |
3d599008e6d247101eb02503201a8a05 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [3, 15], "expectation_value": -3.7234761311179265, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 31, "probabilities": [0.07184116205466895, 0.8057247226415204], "optimization_time": 20.084253072738647} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.57) q[1], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... | [
"IIZIZ",
"ZIZII",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IZIII"
] | [
-0.25,
-0.25,
0.5,
-1.5,
-0.25,
-0.5,
-1,
0.75,
-0.25,
-0.25,
0,
-0.25
] | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
236eee02726333745789aca07c73fbad | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [31, 30], "expectation_value": -0.44830044116016565, "params": [[0.057100000000000005], [-0.048]], "bitstrings": ["00000", "00001"], "total_optimization_steps": 10, "probabilities": [0.03762246310599271, 0.038035625244771214], "optimization_time": 0.9604322910308838} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -0.5 * Z(4) | 5 | 5 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.020655816308775096) q[0];
rz(2.72080401718914) q[0];
rx(-1.5889324921289438) q[1];
rz(2.2974262509286767) q[1];
rx(1.2092140805544014) q[2];
rz(2.5302179081483844) q[2];
rx(1.4716295835037456) q[3];
rz(2.5527127996416414) q[3];
rx(-0.49072718365226614) q[4];
rz(0.9... | 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[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IIIZZ",
"IZIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.976382 | [
0.020655816308775096,
1.1500076903942438,
-1.5889324921289438,
0.7266299241337801,
1.2092140805544014,
0.9594215813534877,
1.4716295835037456,
0.9819164728467445,
-0.49072718365226614,
0.9227604098826407,
0.6291010245873265,
0.4424930737588961,
0.5527730480176062,
-0.05320108343876882,
0... | {
"n_parameters": 49,
"n_qubits": 5,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 75 |
93f5686fd39e6a6c4d9331c2d208db96 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 63], "expectation_value": -3.115963223379581, "params": [[0.0603], [-0.0693]], "bitstrings": ["0000000000", "1111000000"], "total_optimization_steps": 10, "probabilities": [0.001982248112762313, 0.001984262273284791], "optimization_time": 19.02995777130127} | -2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(8)) + 1.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + -3.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["1111000000"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.23209097533014042) q[1];
rz(-pi) q[1];
ry(-0.03816663693819833) q[2];
rz(-pi) q[2];
h q[3];
h q[4];
h q[5];
ry(0.9287275026498809) q[5];
h q[6];
ry(0.7386495579550908) q[6];
h q[7];
ry(1.4146489285453028) q[7];
h q[8];
ry(0.7287280426103545) q[8];
h q[9];... | 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[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[2], q[1];
rz(... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IZIZIIIIII",
"IZIIIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZIIZIIIII",
"ZIIZIIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"ZIIIZIIIII",
"IIZZIIIIII",
"IIZIIZIIII",
"IZZIIIIIII",
"IIZIZIIIII"... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
-3,
-3,
-3,
1,
-3,
1.5,
0.5,
-3,
-2.5,
-3,
1,
-3,
1.5,
-2.5,
-2,
-1,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970495 | [
-1.6079746887124235,
-1.4353902677154227,
1.457456085220709,
1.8574550052997618,
1.4772991159101816,
0.02667737496466882,
2.8292978570906056,
-1.643531697371524,
3.0606269399484844,
-0.21274495758156375,
-0.09777519535141244,
-1.4754886714570175,
-0.0314151563493171,
-0.027019332995796435,... | {
"n_parameters": 66,
"n_qubits": 10,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 335 |
b426b8aff164c6823b185eb6b091738d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [52, 28], "expectation_value": -3.499900324058672, "params": null, "bitstrings": ["001011", "100011"], "total_optimization_steps": 26, "probabilities": [1.718749846806863e-05, 0.999950071326692], "optimization_time": 19.68693995475769} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | 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[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 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 |
3818ce8f8ec333f1e3cdd221545ea640 | 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": 13, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [174, 110], "expectation_value": -10.91427312036831, "params": [[0.0332, -0.0238, 0.038200000000000005], [-0.0494, -0.0068000000000000005, -0.0395]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.008233148068069279, 0.009458798166010932], "optimization_time": 5.7... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 6.5 * Z(1) + 1.5 * Z(0) + 15.0 * Z(2) + 8.5 * Z(3) + 9.5... | 1 | 8 | 3 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2759233039205356) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2759233039205356) q[2];
cx q[0], q[2];
rz(0.8844402004995073) q[0];
rx(-0.1341396366104166) q[0];
h q[3];
cx q[2], q[3];
rz(0.2759233039205356) q[3];
cx q[2], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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",
"IIIIZZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
1.5,
15,
8.5,
9.5,
14,
17.5,
1.5
] | 0.970097 | [
0.2759233039205356,
-0.42938787334870315,
0.8844402004995082,
-0.8144200522888211,
0.2801413587704371,
-0.8114055882673806,
-0.6665407615679289,
-1.1405939395508837,
-0.13413963661041667,
-0.22536789211031555,
-1.1314300218673012,
0.5384084427806397,
-0.5755834086541328,
0.4727379585036260... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 49 |
6498021278841855419 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 1, 2, 3, 5], [1, 4], [2, 3, 4, 5], [3, 5, 6], [1, 2, 5, 7], [4, 5, 6], [1, 6]]} | {"states": [86, 116], "expectation_value": -2.317051266721233, "params": null, "bitstrings": ["10101001", "10001011"], "total_optimization_steps": 52, "probabilities": [0.022883884397080966, 0.8321511408662624], "optimization_time": 91.99825191497803} | 0.5 * (Z(2) @ Z(6)) + 0.05 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.13333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(6)) + 0.21666666666666667 * (Z(5) @ Z(2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5333333333333328], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333326, "smallest_bitstrings": ["10001011"], "largest_eigenvalue": 6.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(-0.971555264104328) q[2];
cx q[6], q[2];
cx q[2], q[0];
rz(-0.046479688825279405) q[0];
cx q[2], q[0];
cx q[6], q[1];
rz(-0.971555264104328) q[1];
cx q[6], q[1];
cx q[2], q[1];
rz(0.22824074786505... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5344) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IZIIIZII",
"IIIIIZIZ",
"IZIIIIZI",
"IIIIIZZI",
"IIIIIIZZ",
"IZIIZIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IZZIIIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IZIZIIII",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIZIIIII",
"IZIIIII... | [
0.5,
0.05,
0.5,
0.13333333333333333,
0.05,
0.16666666666666666,
0.13333333333333333,
0.05,
0.05,
0.3333333333333333,
0.21666666666666667,
0.05,
0.13333333333333333,
0.3,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.083333333... | 0.639283 | [
-0.971555264104328,
-0.046479688825279405,
0.2282407478650517,
0.32063292661124937,
-0.09406692302433246,
-0.09235721511765867,
-0.07160954968032121,
-0.08872388519337941,
-0.22695566666053738,
0.1259699135536305,
-1.370570815121353,
0.10444985698031044,
-1.4835990503114707,
-1.31208302297... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -2.5333333333333328,
"target_ratio": 0.97,
"target_value": -2.4573333333333327
} | 373 |
66dfceacc80d916a1eddcaaacfe8a2e1 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.6424005631660284, "params": [[-0.654], [0.39080000000000004]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 70, "probabilities": [0.00014478386965940054, 0.0001447838696594006], "optimization_time": 22.713706970214844} | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0005000000000000001 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + -0.0005000000000000001 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0233749999999593], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0233749999999158, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0136249999999727} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5155025837682776) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.13640757154115576) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.13640757154115576) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.5155025837682776) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[16] c;
qubit[16... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.0005000000000000001,
-0.00075,
-0.0005000000000000001,
-0.00075,
0.25,
-0.0008749999999999999,
0.00025000000000000006,
-0.00075,
-0.0008749999999999999,
0.00025000000000000006,
-0.00075,
0.25,
0.000375,
0.00025000000000... | 0.972517 | [
-1.5155025837682776,
0.13640757154115576,
-0.0005400348729341642,
-0.036799380894144154,
0.07184231882018838,
0.009140140927485945,
0.003368771935565104,
0.011776405962146644,
0.10512425410664503,
0.040095734344305266,
0.02927994364614776,
0.07054088986465064,
0.7535715620806588
] | {
"n_parameters": 13,
"n_qubits": 16,
"optimal_eigenvalue": -2.0233749999999593,
"target_ratio": 0.97,
"target_value": -1.9626737499999605
} | 22 |
bb51b85a8f0cca1e878093cb2d4e9f25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 3}, {"weight": 9... | {"states": [190, 118], "expectation_value": -29.558466293879224, "params": [[-0.0368, 0.007500000000000001, 0.0015], [0.0614, 0.053500000000000006, 0.0627]], "bitstrings": ["01000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.012896921760545778, 0.01463243511047671], "optimization_time": 9.15681... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 179.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
20.5,
6.5,
20,
17,
8,
18.5,
16.5,
9
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
8ad3ec3244c25ac4f66d2d688f52ad1d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [107, 2154], "expectation_value": -106.77696081266407, "params": [[[1.5739, 1.4365], [-0.0023, 1.4319000000000002], [-0.0018000000000000002, 0.0022], [-0.0019, -0.0021000000000000003], [-1.5977000000000001, 3.1436], [0.002, 0.0021000000000000003], [0.002, 0.0021000000000000003], [3.0615, 0.0717], [1.2315, 1.... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(5) @ Z(0)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(3) @ Z(8)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(10) @ Z(7)) + 7.5 * (Z(11) @ Z(10)) + 24.5 * ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-152.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.5, "smallest_bitstrings": ["011110010101"], "largest_eigenvalue": 248.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5707963135865817) q[0];
ry(-7.120316670827496e-09) q[1];
ry(-7.258647686882152e-08) q[2];
ry(-1.0990759771147801e-08) q[3];
ry(-3.1415926741313847) q[4];
ry(-1.753492594023657e-08) q[5];
ry(-1.753492594023657e-08) q[6];
ry(2.8699752764537787) q[7];
ry(1.5707961886... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIIZZIIII",
"IIIZIIIIZIII",
"IIIIZIIIIIIZ",
"IIIIZIZIIIII",
"IIIZZIIIIIII",
"IZIIIIIIIIIZ",
"IZIIIIZIIIII",
"IZIIZIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIZIIIIII",
"IIIIIIIZI... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
24.5,
3.5,
14,
4.5,
32.5,
6.5,
-5.5,
19,
24,
-3.5,
-14,
-10
] | 0.767213 | [
1.5707963135865817,
-7.120316670827496e-9,
-7.258647686882152e-8,
-1.0990759771147801e-8,
-3.1415926741313847,
-1.753492594023657e-8,
2.8699752764537787,
1.570796188689617,
-1.5707963448980968,
-1.5707963356627213,
1.5707962997896299,
1.5320021709579832,
1.5320021751238229,
2.4245368365986... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -152.5,
"target_ratio": 0.97,
"target_value": -147.92499999999998
} | 500 |
9529baf1c272123f159cd9ccf2735587 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [19, 63], "expectation_value": -3.893450485743458, "params": null, "bitstrings": ["1101100", "1000000"], "total_optimization_steps": 47, "probabilities": [0.1570018601144807, 0.523779836596342], "optimization_time": 53.145485162734985} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.05951716756405023) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.02265479429026638) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.05951716756405023) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.05951716756405023) q[4];
cx... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5158) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
0.25,
-0.25,
-0.5,
0.25,
0,
0.5,
-0.25
] | 0.702551 | [
-0.05951716756405023,
0.02265479429026638,
-0.0017078621446601585,
-0.0009216693159784977,
-1.6675830071562805,
-1.5753684037053484,
-1.5740367613126494,
-1.5745622847367713,
1.3452619876330905
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 252 |
b8aaab24da0004c3e40ded7e0da30763 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [0, 1], "expectation_value": -5.684386735104256, "params": [-0.0032, 0.2792, 0.0041, 0.2975, 0.00030000000000000003, 0.28750000000000003, 0.0028, 0.26830000000000004, 0.0034000000000000002, 0.3, 0.0038, 0.30410000000000004, 0.40080000000000005, 0.0044, -0.0068000000000000005, 0.24530000000000002, 0.0022, 0.2... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 3 | 7 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
1656823104873287151 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 7], [1, 6], [3, 4], [0, 5], [0, 1], [3, 7], [4, 5], [1, 4], [5, 6], [4, 6], [0, 3], [0, 2], [2, 4]]} | {"states": [116, 139], "expectation_value": -0.11496386080988001, "params": [[0.0644], [-0.0651]], "bitstrings": ["10001011", "01110100"], "total_optimization_steps": 10, "probabilities": [0.004584712868582622, 0.004584712868582622], "optimization_time": 0.832913875579834} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(7) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01110100", "10001011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.14444059376858526) q[0];
h q[1];
ry(0.8948082460452842) q[1];
h q[2];
ry(0.8346375640933413) q[2];
h q[3];
h q[4];
ry(-0.14444059376858526) q[4];
cx q[3], q[4];
ry(0.14444059376858526) q[4];
cx q[3], q[4];
ry(-0.414453228641865) q[4];
ry(1.5340414132241356... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIIZZ",
"IZIIIIZI",
"ZIIIZIII",
"IIIIZIIZ",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IIZIIIIZ",
"IZZIIIII",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
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
] | 0.971071 | [
-0.2888811875371705,
1.5340414132241356,
1.6692751281866827,
-0.82890645728373,
1.7158319725160627,
-0.804079888665991,
1.7896164920905684,
-1.2796783109122194,
-1.297893970378822,
0.25995099430809804,
-0.06824232249260923,
-0.5366825726335764,
-0.32937888007652555,
-0.2431246641210497,
... | {
"n_parameters": 51,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 17 |
3fa23bf7f5997a6a9414c1a1e69c52c7 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [37, 52], "expectation_value": -4.996515641776223, "params": null, "bitstrings": ["1011010", "1001011"], "total_optimization_steps": 28, "probabilities": [0.06700895329537654, 0.9297461640987218], "optimization_time": 30.623971939086914} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001011", "1011010", "1000111", "0111100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.029643966180166743) q[0];
rz(pi/2) q[0];
ry(0.39178513511322344) q[1];
ry(0.5427525155537967) q[2];
ry(0.6478381394613815) q[3];
ry(-0.15685193254960966) q[4];
ry(0.7977211775464561) q[5];
ry(0.012833035072556176) q[6];
ry(0.45690880233197506) q[7];
ry(0.544582172... | 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",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1.5,
-1,
-1.5,
-0.5
] | 0.972422 | [
0.029643966180166743,
0.39178513511322344,
0.5427525155537967,
0.6478381394613815,
-0.15685193254960966,
0.7977211775464561,
0.012833035072556176,
0.45690880233197506,
0.544582172894911,
0.6323381310406062,
1.016732492214451,
-0.0003542391823376928,
0.22394637271809345,
-0.2559326348028659... | {
"n_parameters": 125,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 32 |
ee3d1657115ac7fe63817a76eff6e74f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 4, "source": 2, "target": 3}, {"weight": 12, "source": 3, "targ... | {"states": [181, 174], "expectation_value": -28.198645836517972, "params": [[0.025400000000000002, 0.0073, -0.019], [-0.0717, -0.0712, -0.0451]], "bitstrings": ["101001010", "101010001"], "total_optimization_steps": 10, "probabilities": [0.007164478416781514, 0.008419362845079251], "optimization_time": 6.48940467834472... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.011320181029350375) q[0];
cx q[1], q[0];
rz(1.6845218817811496) q[0];
rx(1.643152641776864) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.011320181029350375) q[2];
cx q[3], q[2];
rz(1.694561325739155) q[2];
rx(1.6431526417768643) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12.5,
-3,
15,
-2.5,
15.5,
17,
23.5,
15,
9.5
] | 0.979463 | [
-0.011320181029350375,
-1.538475421558327,
1.684521881781149,
-1.5682318728391689,
1.6945613257391543,
0.9835395433700487,
-1.623624962021536,
-1.7004061833926134,
1.5050717042233193,
1.6431526417768643
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 54 |
28550855a20366800e3fd917bf6489e0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [0, 1], "expectation_value": -4.871670804157906, "params": [0.0034000000000000002, 0.299, 0.0028, 0.18710000000000002, 0.005, 0.4525, 0.0026000000000000003, -0.4495, 0.0033, 0.46130000000000004, 0.0021000000000000003, -0.4567, 0.0018000000000000002, 0.4566, 0.6067, 0.0083, 0.0037, 0.2916, 0.0023, 0.2566, -0.... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 3 | 8 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["11101110", "11111110", "11100110", "10000000"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15216926898181918) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.15216926898181918) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.05788856062893183) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.15216926898181918) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
0.25,
0,
-0.75,
0.25,
0,
0.5
] | 0.970246 | [
0.15216926898181918,
0.05788856062893183,
-0.39706471093018897,
-0.4983538334088068,
-0.6196842796802551,
-0.8562234492096112,
-0.7118375263136241,
1.5192229975930538,
0.31351551366482816,
0.21708871535439847,
-0.41629988721034344,
-1.1950335447601863,
-0.3996149728763092,
-0.3579384860504... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 333 |
d3956f7983245a7df30e05256635d997 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [118, 182], "expectation_value": -77.30172678642892, "params": [-0.0014, -0.915, 1.3185, 0.0819, 1.0955000000000001, -0.10830000000000001, 0.7906000000000001, 0.0146, 0.7849, 0.003, -0.0029000000000000002, 0.7972, 0.779, 0.0004, 0.7716000000000001, 0.0073, 0.0023, 0.8801, -0.0008, -0.9418000000000001, 0.6116... | 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(0) @ Z(7)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 13.0 * Z(3) + 7.0 * Z(1) + 12.0 * Z(2) + 10.0 * Z(4) + -6.0 * Z(5) + 12.0 * Z(8) + 14.5 * Z(7) + -3.... | 16 | 9 | 4 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.14739164011047914) q[0];
rz(-0.9257143429906947) q[0];
rx(1.446109133572968) q[1];
rz(0.04498875389122811) q[1];
cx q[1], q[0];
rz(-0.03977654088651361) q[0];
cx q[1], q[0];
rx(-0.1325237474909961) q[0];
rz(-0.961559289760114) q[0];
rz(0.492158835358512) q[1];
rx(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIIZZIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IZIIIIIIZ",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIZIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
13,
7,
12,
10,
-6,
12,
14.5,
-3,
7.5
] | 0.971845 | [
0.14739164011047917,
-0.965490883877208,
1.446109133572968,
0.04498875389122811,
0.8114658093083391,
0.1215957731091734,
0.8006330662515444,
0.08779203453738105,
0.8582733244242615,
0.25140467912274894,
0.0695232872476309,
0.7997581453761696,
0.7920848192189731,
0.010294119002853333,
0.8... | {
"n_parameters": 98,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 21 |
-2862683680105267660 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [8, 4], [3, 6], [0, 4], [5, 6], [8, 6], [8, 5], [5, 7], [0, 2], [4, 6], [8, 1], [8, 0], [8, 2], [1, 2], [0, 6], [1, 5], [3, 4]]} | {"states": [89, 422], "expectation_value": -0.21109607654972373, "params": [[-0.0839], [0.0772]], "bitstrings": ["110100110", "001011001"], "total_optimization_steps": 10, "probabilities": [0.0023244382501173425, 0.0023244382501173425], "optimization_time": 2.3956680297851562} | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["100101001", "101111000", "010000111", "110100110", "110100011", "110101000", "101101000", "110111000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06953762449400891) q[0];
rz(1.1090420161286652) q[0];
rx(0.44538337767345465) q[1];
rz(-0.6072930729266361) q[1];
rx(1.944360985676137) q[2];
rz(0.1692009188606498) q[2];
rx(0.006633105553050023) q[3];
rz(1.312764550617488) q[3];
rx(1.2155920825124384) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(x0) q[8];
cx q[3], q[8];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[8], q[4];
rz(x0) q[4];
cx q[8], q[4];... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIII",
"IIIIZZIII",
"ZIIIZIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IIZIZIIII",
"ZIIIIIIIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"ZIIZIIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"IIIIIIZIZ",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIIIZIII",
"ZIIIIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971944 | [
-0.06953762449400894,
0.4989817751933499,
0.44538337767345465,
-0.27299201764412856,
1.944360985676137,
0.1842164133639188,
0.006633105553050023,
0.7052404241151329,
1.2155920825124387,
0.20175858432531873,
0.05842061677806648,
-0.5092431999306852,
1.1952042438883412,
0.1326098205071331,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 60 |
a61efe0866d3892b780b74ac9c5cc2b4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [82, 114], "expectation_value": -4.671207676911027, "params": [-0.0011, 0.31720000000000004, 0.0017000000000000001, 0.3418, 0.5262, -0.0284, 0.5281, 0.015700000000000002, 0.3201, 0.0002, 0.32030000000000003, 0.0032, 0.5206000000000001, -0.019700000000000002, 0.5279, 0.0061, 0.0005, -0.2849, 0.0047, -0.3149, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(6) + -1.0 * Z(7) + 0.0 * Z(1) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0... | 5 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00100111", "10001101"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.2806636913848266) q[0];
rz(0.377142978035379) q[0];
rx(0.2932966757639813) q[1];
rz(-0.15665436434999247) q[1];
rx(0.5638391239268518) q[2];
rz(-0.03488806160017166) q[2];
rx(0.5277435663939376) q[3];
rz(0.04181916268872676) q[3];
rx(-0.08052832625597146) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IZIZIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
0,
-1,
-1,
0
] | 0.983613 | [
0.2806636913848266,
0.38526574345044245,
0.2932966757639813,
-0.1793799366718525,
0.5638391239268519,
0.03281703473785317,
0.5277435663939376,
-0.05872106296746823,
-0.08052832625597148,
-0.3391737700742462,
0.22422303545287225,
-0.03173059864611219,
0.31998881064102414,
-0.158745426550370... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
71bc29fb36488a293ce19bf05d480b6c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 7], "expectation_value": -5.126909613243538, "params": [[[0.31970000000000004, -0.156], [0.24050000000000002, -0.2288], [0.3305, 0.1553], [0.3214, -0.15860000000000002], [0.6529, -0.0], [0.6142000000000001, 0.0], [0.5277000000000001, 0.0038]], [[0.3262, -0.156], [0.2404, -0.2286], [0.3337, 0.1553], [0.32... | 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 *... | 1 | 7 | 3 | {"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 |
ba516fd0ce7824e6228356c5f232cfab | 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": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [34, 3], "expectation_value": -5.766500409184095, "params": [[0.059800000000000006], [-0.0548]], "bitstrings": ["1011101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.010942349018951286, 0.011267213615010374], "optimization_time": 2.8907132148742676} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.16804737694979255) q[0];
rz(0.2082288294493435) q[0];
rx(0.15075704403065596) q[1];
rz(0.3081286351501191) q[1];
rx(-0.015577567956415184) q[2];
rz(0.2761028885907031) q[2];
rx(0.051898684280336976) q[3];
rz(0.6464979825533907) q[3];
rx(-0.06236402491160774) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | {"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,
3,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
3,
-10,
-10,
-10.5,
-10.5,
-10,
-9.5,
-9.5
] | 0.970246 | [
0.16804737694979255,
0.12269839746206923,
0.15075704403065598,
0.3741847015101376,
-0.015577567956415184,
0.3742638042105089,
0.051898684280336976,
0.5257644350645199,
-0.06236402491160774,
0.18361076482660355,
0.4922950906627197,
0.16963751239899966,
0.68348045398206,
0.11277220593759216,... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 6 |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [123, 127], "expectation_value": -1.0280555221551548, "params": [[0.0381, 0.026500000000000003, 0.061200000000000004, 0.043500000000000004], [-0.040400000000000005, -0.0058000000000000005, -0.041, -0.038]], "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0069109507... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000100", "10000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.22157641917024928) q[0];
ry(0.00898152646378737) q[1];
ry(0.02472649820771007) q[2];
ry(0.05763287371265249) q[3];
ry(0.0036084805931868484) q[4];
ry(-0.04749337088044957) q[5];
ry(1.0911704212811806) q[6];
ry(0.2493891450036926) q[7];
cx q[7], q[0];
cx q[6], q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
0.75,
-1.25,
-0.5,
-0.25,
1.5,
0.5,
1.25,
-1,
-1,
-0.5
] | 0.971183 | [
-0.22157641917024928,
0.00898152646378737,
0.02472649820771007,
0.05763287371265249,
0.0036084805931868484,
-0.04749337088044957,
1.0911704212811806,
0.2493891450036926,
-0.9012942735590549,
-0.24745318900433683,
-0.01707069937213386,
-0.08040860354516637,
-0.03283962223876556,
0.089752880... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 51 |
fb10cd80c44264e980b0dff5bd9ab2d5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "targ... | {"states": [8189, 16380], "expectation_value": -32.94127929383632, "params": [[[1.3288, 2.0067], [0.0027, -1.0344], [0.0029000000000000002, 0.0026000000000000003], [0.0024000000000000002, -0.0029000000000000002], [0.0026000000000000003, -0.0027], [0.0024000000000000002, 0.0028], [0.0018000000000000002, 0.002], [0.0019,... | -2.0 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + -2.... | 15 | 14 | 1 | {"smallest_eigenvalues": [-37.99999999999971], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.99999999999946, "smallest_bitstrings": ["00000000000011"], "largest_eigenvalue": 32.0000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.05590207197638316) q[0];
ry(0.03610748496199783) q[1];
ry(-0.011655044494101006) q[2];
ry(0.012306408249996053) q[3];
ry(0.04747045967011791) q[4];
ry(0.012306408249996053) q[5];
ry(0.10278311420252129) q[6];
ry(0.01709127787847249) q[7];
ry(-0.022747731961599647)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIZIZII",
"IIIIIIIIIZIIZI",
"IIIIIIIIIZZIII",
"IIIIIIZIZIIIII",
"IIIIIZZIIIIIII",
"IIIIIZIIZIIIII",
"IIIIZIZIIIIIII",
"IIIIZIIIZIIIII",
"IIIIZZIIIIIIII",
"IIIZIIZIIIIIII"... | [
-2,
-2.5,
0.5,
-2.5,
0.5,
-2,
1,
-2,
-2,
-2.5,
1,
-3,
0.5,
-2.5,
-2.5,
-2,
-2.5,
-3,
1,
0.5,
-2.5,
0.5,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.970917 | [
0.05590207197638316,
0.03610748496199783,
-0.011655044494101006,
0.012306408249996053,
0.04747045967011791,
0.10278311420252129,
0.01709127787847249,
-0.022747731961599647,
0.0505165404418154,
0.000780617305445948,
3.1353299333945883,
-0.04695031513923414,
-0.019041597298670464,
0.03813367... | {
"n_parameters": 19,
"n_qubits": 14,
"optimal_eigenvalue": -37.99999999999971,
"target_ratio": 0.97,
"target_value": -36.859999999999715
} | 143 |
acd53861e009fa993c7ee6f2ebdf4931 | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -7.763362089722437, "params": [[[-0.0112, -0.0024000000000000002], [0.0018000000000000002, 0.0018000000000000002], [0.0016, 0.0029000000000000002], [0.0007, -0.0031000000000000003], [0.0014, 0.0031000000000000003], [0.008700000000000001, -0.0026000000000000003], [0.0054, -0... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(6)) + -0.25 * (Z(... | 15 | 11 | 3 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000000", "10000100000", "10001000000", "10001100000"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.047234945455786034) q[0];
ry(0.06717750963050563) q[1];
ry(-0.07871917052263612) q[2];
ry(-0.07406413548993143) q[3];
ry(-0.008497149629708656) q[4];
ry(-0.11820717443195877) q[5];
ry(0.05718786111711539) q[6];
ry(-0.1081222143885793) q[7];
ry(-0.02981595091515187... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIZZIIIII",
"IIIIZIIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIZIIIIZII",
"IZIIIIZIIII",
"IZIIZIIIIII",
"IZIIIIIZIII",
"ZIIIIZIIIII",
"ZIIIZIIIIII",
"ZIIIIIIZIII",
"ZIIZIIIIIII",
"ZZIIIIIII... | [
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
0.25,
-1.25,
-0.5,
-0.25,
1,
1.25,
0.25,
0.5
] | 0.971112 | [
0.047234945455786034,
0.06717750963050563,
-0.07871917052263612,
-0.07406413548993143,
-0.008497149629708656,
-0.11820717443195877,
0.05718786111711539,
-0.1081222143885793,
-0.029815950915151875,
-0.5902928114287693,
0.03746401563308868,
0.7007693250267156,
-0.09090597976205275,
0.0580868... | {
"n_parameters": 73,
"n_qubits": 11,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 58 |
a4c9222a5b9b1eb79ad1a9b8af6d1a47 | 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": 2, "target": 3}, ... | {"states": [214, 182], "expectation_value": -2.7013565686140786, "params": [[[0.08360000000000001, 0.2516, 0.0016, 0.0022], [0.48100000000000004, -0.0363, 0.44420000000000004, 0.0007], [0.1279, 0.0616, 0.0092, 0.0621], [-0.042, -0.2807, -0.009300000000000001, 0.0057], [0.7004, -0.017, 0.0063, -0.023200000000000002], [-... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3) @ Z(7)) ... | 12 | 9 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.25, "smallest_bitstrings": ["101001001", "101000011", "100100101", "100101001", "101100001", "100011001", "010011001", "010100101"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.13387575191618376) q[0];
rz(1.1268784712756936) q[0];
ry(-0.061935718834311704) q[1];
rz(-0.1256254565339984) q[1];
cx q[1], q[0];
ry(0.17863550986638815) q[1];
rz(-0.3160573702508178) q[1];
ry(1.4040934845537838) q[2];
rz(-0.04167296684653175) q[2];
ry(2.707808468... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IIZZIIZII",
"IIIZIZIII",
"IZIIIZIII",
"IZIZIIIII",
"IZIZIZIII",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZIZIIIZ",
"IZIIIIIZI",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZZIIIIIZI",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
0,
0,
0,
0,
0,
0,
-0.75
] | 0.975619 | [
0.13387575191618376,
1.1268784712756936,
-0.061935718834311704,
-0.1256254565339984,
1.4040934845537838,
-0.04167296684653175,
2.7078084688485244,
-0.10488526508814922,
1.3362806829468774,
-0.0064888997952568545,
1.0065816399454337,
0.0076161104372490795,
1.4428275119501128,
1.359197111971... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 37 |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -16.04016654436624, "params": [0.1258, 0.1905, 0.1524, 0.2051, 0.14700000000000002, 0.20370000000000002, 0.1484, 0.2049, 0.1519, 0.18480000000000002, 0.49250000000000005, 0.09570000000000001, 0.49760000000000004, 0.0732, 0.4918, 0.09240000000000001, 0.1253, 0.1915, 0.1492, 0.2058... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 3 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.2678692430954843) q[0];
ry(0.133982112329514) q[0];
rz(-1.6423171496700617) q[0];
rz(2.865239814634158) q[1];
ry(0.10791559648463672) q[1];
rz(-2.28638342328192) q[1];
rz(1.9493878355086798) q[2];
ry(0.421390967996594) q[2];
rz(-1.6340873891194703) q[2];
rz(1.60446... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.970676 | [
-0.1009869528208311,
0.2011463194306295,
-0.18388450202335396,
0.11641300867557425,
-0.1790840385320124,
0.2759826702065239,
0.2521979674672631,
-0.4285969017555645,
-0.1906059886326268,
0.9293906646938866,
0.9046304454595955,
0.13113208583620667,
1.1395547029818167,
-0.04090143663475966,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 14 |
2b860c5a8de3f0d11ed1561e08f8c201 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [330, 331], "expectation_value": -5.512445850576945, "params": [[0.7825000000000001, 1.5879, 0.0032, 1.5871000000000002, 0.0033, -0.0032, 1.5849, 0.0033, 1.4051, 0.18860000000000002], [0.0814, 1.5019, 0.0022, 1.5814000000000001, 0.0018000000000000002, -0.0017000000000000001, 1.5804, 0.0017000000000000001, 1.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(7) + ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110100", "1100010110", "0110010110", "1000110110", "0110110100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.8867241954703721) q[0];
ry(1.5028411078314905) q[1];
ry(0.28296974647107453) q[2];
ry(1.7073942888892792) q[3];
ry(0.0925346800432253) q[4];
ry(0.00714603121394089) q[5];
ry(1.542427143457616) q[6];
ry(0.0925346800432253) q[7];
ry(1.4711386553171921) q[8];
ry(-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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIIIIZIIZI",
"IIZIIZIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IIIIZIZIII",
"ZIZIIIIIII",
"ZIIIZIIIII",
"IIIZZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIIIZIIIII",
"IIIIIIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1,
0,
-0.5,
0
] | 0.971882 | [
0.8867241954703721,
1.5028411078314905,
0.28296974647107453,
1.7073942888892792,
0.0925346800432253,
0.00714603121394089,
1.542427143457616,
1.4711386553171921,
-0.08535148099501366,
0.12054835069289492,
1.5060146441185729,
-0.14074917275869078,
1.419367214325072,
0.10635878771342568,
0.... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 8 |
-4740364187824343306 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [1, 4, 5], [2, 3, 4], [0, 1, 4]]} | {"states": [14, 26], "expectation_value": -1.4171294443021136, "params": null, "bitstrings": ["110001", "100101"], "total_optimization_steps": 33, "probabilities": [0.034262615794676474, 0.8940660614050697], "optimization_time": 28.545387268066406} | 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(4... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4999999999999998, -1.4999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1666666666666667, "smallest_bitstrings": ["100101", "011000"], "largest_eigenvalue": 3.4999999999999987} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(1.4800180437236334) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.24353117739512029) q[4];
cx q[3], q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(0.24353117739512029) q[2];
cx q[3], q[2];
rz(0.24353117739511987) q[3];
rx(-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(1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZIZI",
"IZZIII",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"IIIIZZ",
"IZIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIIIIZ"
] | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0.33333333333333326,
0.4999999999999999,
0.16666666666666666,
0.16666666666666666,
0.1666666666... | 0.632494 | [
1.4800180437236334,
0.24353117739512029,
-0.16262981076719757,
-0.9029910224293158
] | {
"n_parameters": 4,
"n_qubits": 6,
"optimal_eigenvalue": -1.4999999999999998,
"target_ratio": 0.97,
"target_value": -1.4549999999999998
} | 108 |
af7ff602e385e2b324d14d3396a2867f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [0, 16], "expectation_value": -2.5190817717741023, "params": [[[0.0028, 0.0023], [1.6091, -0.0023], [0.0023, 0.0035], [-0.0029000000000000002, 0.0026000000000000003], [0.002, 0.0026000000000000003], [0.0034000000000000002, 0.0024000000000000002]]], "bitstrings": ["111111", "101111"], "total_optimization_step... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(1) @ Z(4) @ Z(5)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) + -0.75 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["101111", "011111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.258296592739029) q[0];
ry(2.7563027754990026) q[0];
rz(-0.6035422421175172) q[0];
rz(1.8056855793288262) q[1];
ry(0.1335104346912194) q[1];
rz(-1.4728243365323184) q[1];
rz(0.9797327229011552) q[2];
ry(0.0729814338846568) q[2];
rz(0.3762903216833018) q[2];
rz(-1.99... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IIZZIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75
] | 0.980599 | [
1.034242791672522,
0.14240602016187207,
0.017687663152958916,
0.07320273075620679,
0.23209054156592357,
0.6410489198724177,
-0.04129105525821289,
0.3945629506721092,
0.13692459780759939,
0.6369740569104005,
0.025853495707741328,
0.5588185401553514,
1.0013786116648535,
-0.2008258646245596,
... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
-6646672814995565532 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4], [1, 3], [3, 4], [3, 5, 6], [2, 3], [0, 2, 6]]} | {"states": [53, 55], "expectation_value": -0.03923204208529908, "params": [[-0.0668], [0.0637]], "bitstrings": ["1001010", "1001000"], "total_optimization_steps": 10, "probabilities": [0.008335485188595977, 0.00837946312609372], "optimization_time": 0.6253881454467773} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0833333333333335, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 4.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5030168563674892) q[0];
h q[1];
ry(0.7220043771682972) q[1];
h q[2];
h q[3];
ry(-0.0970843250503563) q[3];
h q[4];
cx q[4], q[3];
ry(0.0970843250503563) q[3];
cx q[4], q[3];
ry(-0.14152093544285776) q[3];
cx q[2], q[3];
ry(0.14152093544285776) q[3];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.125,
0.29166666666666663,
0.29166666666666663,
0.... | 0.984315 | [
1.23538907648185,
-0.1941686501007126,
0.8828440243023016,
-0.28304187088571553,
1.5247725651872845,
1.4440087543365945,
-0.6582561279609095,
0.5425042288887563,
-1.0060337127349783,
0.19990072785397092,
0.6262651084820339,
-0.1867130242018144,
-0.05940340604711475,
-0.3052032107293161,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -2.4166666666666665,
"target_ratio": 0.97,
"target_value": -2.3441666666666663
} | 17 |
8321286015559293990 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 6], [1, 4], [8, 2], [3, 5], [1, 7]]} | {"states": [417, 480], "expectation_value": -0.05670538902458274, "params": [[0.07880000000000001], [-0.0816]], "bitstrings": ["001011110", "000011111"], "total_optimization_steps": 10, "probabilities": [0.0021838353500231267, 0.0021838353500231267], "optimization_time": 1.9442620277404785} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(6) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.2150143236464784) q[1];
h q[2];
ry(-0.2150143236464784) q[2];
h q[3];
h q[4];
h q[5];
ry(-0.2150143236464784) q[5];
cx q[3], q[5];
ry(0.2150143236464784) q[5];
cx q[3], q[5];
ry(1.399761381506248) q[3];
ry(-0.982910477296815) q[5];
h q[6];
ry(-0.04... | 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[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[6];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IIIIZIIZI",
"ZIIIIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IIIIIZIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIZIIII",
"IIIIIIIZI",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0,
0,
0
] | 0.972218 | [
-0.4300286472929568,
1.148960150327793,
-0.8583601843849356,
1.4685026043731395,
-0.2431173550006776,
1.5416445548745972,
0.5016024623569096,
-0.6781125129205083,
0.7474692279471672,
0.12938341178894652,
-0.756787050319939,
0.5026098569787482,
-0.24910058582375877,
0.08059815665384383,
0... | {
"n_parameters": 60,
"n_qubits": 9,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 40 |
6ed1ddb0c37b8c42f6032d980e7fb546 | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 3, "source": 2, "target": 1... | {"states": [0, 63], "expectation_value": -7.620251072179762, "params": [[[0.0037, -0.7416], [0.0026000000000000003, 0.0033], [0.0024000000000000002, 0.0025], [0.0024000000000000002, 0.0026000000000000003], [0.0025, 0.0031000000000000003], [0.0034000000000000002, 0.1955], [1.5824, 0.0028]], [[0.45270000000000005, -1.564... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + -1.75 * Z(1... | 15 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.024454446097182985) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3069541494970769) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.024454446097182985) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-6.822630483254212e-06) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIZII",
"IZIIZII",
"IZIIIZI",
"IZIZIII",
"ZZIIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-0.75,
-0.25,
-1.25,
0.5,
-0.25,
-0.5,
-0.5,
-1,
-1,
-1,
-1,
0.25,
-0.25,
-1.75,
0,
-0.75,
-1,
3.5
] | 0.828374 | [
-0.024454446097182985,
0.3069541494970769,
-0.000006822630483254212,
-3.1278555237590693,
0.00014199144815494222,
-0.01953305798076947,
-1.570534837818748,
-1.5705391428806783,
-1.5708192020044294,
-1.5708952581243638,
1.5687173531789174
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 333 |
-8130761535533955353 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [3, 4], [3, 6], [5, 6], [1, 2], [2, 4], [4, 6], [1, 3], [0, 2], [4, 5], [0, 1], [0, 6], [2, 6], [2, 3], [2, 7], [5, 7]]} | {"states": [106, 75], "expectation_value": -3.696229010778466, "params": null, "bitstrings": ["10010101", "10110100"], "total_optimization_steps": 72, "probabilities": [0.03996069029668477, 0.6066495292214367], "optimization_time": 105.82588005065918} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01001011", "10110100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.9939338513462355) q[0];
rz(-0.16055874047158447) q[0];
rx(0.09818134403094521) q[1];
rz(-1.1750237666029018) q[1];
rx(2.8132472006139024) q[2];
rz(-1.048365884453505) q[2];
rx(3.2601517936905657) q[3];
rz(0.1047600791986249) q[3];
rx(-0.24617401928603738) q[4];
rz(... | 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[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] = me... | [
"ZIIIIIIZ",
"IIIZZIII",
"IZIIIIIZ",
"IZIZIIII",
"IZIIZIII",
"ZIZIIIII",
"IIZZIIII",
"IZZIIIII",
"IIIIIIZZ",
"IIIIZIZI",
"ZIIIIZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"IIIIIZZI",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"IIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
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
] | 0.973964 | [
2.9939338513462355,
-0.16055874047158447,
0.09818134403094521,
-1.1750237666029018,
2.8132472006139024,
-1.048365884453505,
3.2601517936905657,
0.1047600791986249,
-0.24617401928603738,
1.1104741593841023,
2.9881398426478225,
-0.10739053811871613,
0.057885563925893724,
-0.00415618459563721... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 36 |
e2d42d54466cad0e47a576fec07e2be9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -12.646267160706596, "params": [[-0.044000000000000004, 0.04, -0.029300000000000003], [0.0813, -0.01, 0.0154]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00835238917020294, 0.009019739750875801], "optimization_time": 6.2012519... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.0 * Z(1) + 4.0 * Z(0) + 7.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.9780527284148871) q[0];
rz(-0.32148690663209895) q[0];
ry(-0.7892727298300091) q[1];
rz(0.1975676236284789) q[1];
cx q[1], q[0];
ry(0.8962891467746957) q[0];
rz(0.052798159012349036) q[0];
ry(0.5058660408624864) q[1];
rz(-0.3978263625905253) q[1];
ry(-0.31629941256... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17,
4,
7.5,
22,
4.5,
11,
11.5,
15
] | 0.970089 | [
0.9780527284148871,
-0.32148690663209895,
-0.7892727298300091,
0.1975676236284789,
-0.3162994125644556,
-0.3927838541721411,
0.07591008131711265,
0.010362765644280701,
-0.004177353980553352,
-0.014282973755614476,
-0.006464029793591477,
-0.7218823444991684,
-0.3051057789958777,
-0.12106482... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 69 |
605742faa50c2e92c07356e058fd303f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [6, 33], "expectation_value": -0.1549899203290613, "params": [[0.059000000000000004], [-0.0585]], "bitstrings": ["111001", "011110"], "total_optimization_steps": 10, "probabilities": [0.016723556172748066, 0.01672490738412786], "optimization_time": 1.1994709968566895} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"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": ["101011", "100111", "101110", "011011", "111001", "011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZZII",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-0.5,
-1
] | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
4286d838a0864c608421aefd7c0a8694 | 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": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [129, 3], "expectation_value": -15.8282184789504, "params": null, "bitstrings": ["01111110", "11111100"], "total_optimization_steps": 45, "probabilities": [0.21414457341852555, 0.4733969601642436], "optimization_time": 54.8053412437439} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.9045870181296413) q[0];
ry(-0.2170474160110289) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5470769059317142) q[2];
rz(-pi) q[3];
ry(-0.2843983056732562) q[3];
rz(-pi) q[4];
ry(-0.2265876657411871) q[4];
h q[5];
h q[6];
h q[7];
ry(1.5286010451067176) q[7];
cx q[7], ... | 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(0.9755) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-1,
-0.75,
-1,
-0.5,
-1,
-0.5,
4.25,
-0.25,
-1,
-0.75,
-0.5,
-2.25,
-0.25,
-0.5,
-2.25,
-1,
4.25,
0.75,
1.25
] | 0.974008 | [
1.5286010451067176,
-1.8091740362592825,
-1.9895281018553466,
-1.4053738037883465,
0.39796311717390886,
-0.00019440015801999722,
-0.21779767655905893,
-1.5470769059317142,
-0.42085430085678377,
0.1517805527427289,
0.10324978600895736,
-0.3105191432550561,
0.18150412591190185,
-1.0315729899... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 26 |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [21, 31], "expectation_value": -4.478958451961376, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 52, "probabilities": [0.16347067988755046, 0.5183808250580454], "optimization_time": 47.32594347000122} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.06827815816356449) q[0];
h q[1];
ry(0.28864931235364366) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(-0.28864931235364366) q[1];
cx q[3], q[1];
ry(0.2691310622985146) q[3];
ry(0.7286787559448862) q[1];
h q[4];
ry(1.1406820502596924) q[4];
cx q[2], q[4];
ry(-1.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) q[3], 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 \"s... | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"IZIZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1,
-1.5,
1.75,
-0.25,
0.25,
-0.25,
1,
-1,
0,
0
] | 0.970202 | [
0.5772986247072873,
-0.13655631632712897,
1.4784928192670517,
2.2813641005193848,
2.1336059398620155,
0.08833575044167,
-0.9910259827145842,
0.04008808361503387,
0.5382621245970292,
1.4573575118897724,
1.1779871136653997,
-0.41195736481598083,
0.047345997501894194,
0.04288036191304298,
-... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
b2edf981a9c05ff141b468ab5531d2c7 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [35, 11], "expectation_value": -3.4964640571444514, "params": null, "bitstrings": ["011100", "110100"], "total_optimization_steps": 25, "probabilities": [0.06634840825543914, 0.930366230374527], "optimization_time": 18.03964328765869} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
ry(-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(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1781, 2931], "expectation_value": -0.6829277775947155, "params": [[-0.0465, -0.057300000000000004], [0.064, 0.0609]], "bitstrings": ["100100001010", "010010001100"], "total_optimization_steps": 10, "probabilities": [0.00034798702534876385, 0.0003479870253487639], "optimization_time": 6.370083808898926} | 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 | 12 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | 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[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];
... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
754aee28c7d672c0aed674af64a71d63 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1460, 1468], "expectation_value": -2.417891484715324, "params": [0.46030000000000004, 0.007200000000000001, 0.4666, 0.0036000000000000003, -0.010700000000000001, 0.2549, -0.013600000000000001, 0.2464, 0.4829, 0.0222, 0.48700000000000004, 0.0755, 0.49450000000000005, -0.0089, 0.49510000000000004, -0.0073, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(... | 7 | 11 | 3 | {"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, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.25, "smallest_bitstrings": ["01011000001", "001010101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.05334619033496422) q[0];
h q[1];
ry(-1.6045065027163399) q[1];
rz(-pi) q[2];
ry(-0.05334619033496422) q[2];
h q[3];
ry(1.568838513784343) q[3];
h q[4];
ry(-0.4823357753770646) q[4];
h q[5];
ry(1.568838513784343) q[5];
h q[6];
cx q[6], q[4];
ry(0.4823... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZZIII",
"IIIIZIZZIII",
"IIIIZZIZIII",
"IIIIZZZIIII",
"IIIIZZZZIII",
"IIIZIIIZIII",
"IIZIIIIZIII",
"IZIIIIIZIII",
"IIZZIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25... | 0.996116 | [
-1.6045065027163399,
-1.7151572368793928,
1.568838513784343,
-0.9646715507541292,
0.6741194924411833,
-0.5142397587788864,
0.6111561470296336,
-0.36973495512911037,
0.17034823600141152,
-0.1553217717515024,
0.2006837517100958,
0.10900906731762479,
0.18202943949906428,
0.10300987810666151
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
b993a5a7e57c18bd4205eb03339dcbdb | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -5.333749607233285, "params": [[-0.12250000000000001, -0.1361], [0.1242, 0.14800000000000002]], "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 20, "probabilities": [0.001578362850833733, 0.0015783628508337349], "optimization_time": 7.7921586036682... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 2 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
1.5,
1.5,
1.5,
1,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
d55d504e597705d8581d37ec0d2e41ca | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [45, 63], "expectation_value": -4.247536484564604, "params": null, "bitstrings": ["1010010", "1000000"], "total_optimization_steps": 53, "probabilities": [0.2457050176544659, 0.7519615756918091], "optimization_time": 45.11788821220398} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6828792687147329) q[0];
h q[1];
ry(1.5288445153467216) q[1];
h q[2];
h q[3];
ry(1.5288445153467216) q[3];
h q[4];
ry(1.4916621282624816) q[4];
h q[5];
ry(0.7458310641312408) q[5];
cx q[2], q[5];
ry(-0.7458310641312408) q[5];
cx q[2], q[5];
ry(0.59828678975... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
0.75,
0.25
] | 0.989602 | [
1.5288445153467216,
1.4916621282624816,
1.550097850061895,
-1.3657585374294658,
1.196573579508862,
0.11369926623801563,
-0.014047065055423413,
0.09207660432302629,
-0.10038361002430576,
0.08382100900060677,
0.15687837360702134,
-0.10724578865064746,
0.0600104112675679,
0.05940034969983188,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
0408e3dea32eb651b01e8b9497185352 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [14, 46], "expectation_value": -5.87695746802164, "params": [[[0.4212, 0.0543], [-0.020900000000000002, 0.316], [-0.0218, 0.30820000000000003], [0.5943, -0.0009000000000000001], [-0.0089, -0.31930000000000003], [0.608, 0.0011], [0.5955, 0.0026000000000000003], [0.6052000000000001, 0.0039000000000000003], [-0... | 0.5 * (Z(0) @ Z(1)) + 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(8) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["011010101", "111010001"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.4516715359662156) q[0];
ry(0.045481904360908244) q[0];
rz(-2.6649167629879935) q[0];
rz(-2.775542207282608) q[1];
ry(0.09702525731260887) q[1];
rz(-3.0553888653979815) q[1];
rz(-1.231845530334759) q[2];
ry(0.1945994060598197) q[2];
rz(1.9296794608988108) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIZIZII",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIIIZZII",
"IZIIZIIII",
"ZZIIIIIII",
"IZIIIIZII",
"IIIZZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"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,
-1.5,
-1.5,
-2,
-1,
-1.5,
-1.5,
-1,
-1,
-0.5
] | 0.976282 | [
0.17314208739849044,
-0.11285639169248331,
-0.16355868926537104,
-0.05195947056615915,
0.0027506891613872653,
0.22970361888330124,
0.843020662647191,
0.04928780265296176,
-0.06020862015178348,
-0.6172351260565101,
1.012435269007767,
0.040186396379076894,
0.7212231294853293,
-0.096143945059... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 21 |
d67dce3f5139cf39967f12d8ad7a1f95 | 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": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "ta... | {"states": [490, 234], "expectation_value": -68.96766215665801, "params": [0.4843, 0.3614, 1.0677, 0.001, 1.0673000000000001, -0.0061, 1.0723, 0.23670000000000002, 0.1769, 0.5272, 1.0674000000000001, 0.1129, 0.0838, 0.5516, 1.0693000000000001, 0.21580000000000002, 0.2846, 0.4403, 0.4782, 0.3226, 1.0686, -0.0105, 1.069,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 12.0 * Z(1) + 9.5 * Z(0) + 11.0 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.057985733596822256) q[0];
rz(-0.08921433292265135) q[0];
rx(0.8289694419369887) q[1];
rz(-0.25300377968612575) q[1];
rx(0.9066313360301113) q[2];
rz(0.12177703936276048) q[2];
rx(0.6242911106387234) q[3];
rz(0.24462902398542496) q[3];
rx(-0.05191058184150418) 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"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,
12,
9.5,
11,
12,
2.5,
18,
1.5,
10,
6.5
] | 0.971565 | [
-0.057985733596822256,
0.02695926161404545,
0.8289694419369887,
-0.25300377968612575,
0.9066313360301113,
0.12177703936276048,
0.6242911106387234,
0.24462902398542496,
-0.05191058184150418,
0.3538364534705118,
1.0072361229926894,
0.24733858529044117,
0.27827590024031423,
0.0244402588190312... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 11 |
61e3b2a5d555a14d43f55fdcbfde92db | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [310, 214], "expectation_value": -23.319905727509536, "params": [[-0.0333, 0.0055000000000000005], [0.0718, 0.07640000000000001]], "bitstrings": ["011001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.006298211888344465, 0.007839600229834402], "optimization_time": 3.361057996749878} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(8)) + 20.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 173.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.038077298461885775) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.038077298461885775) q[2];
cx q[0], q[2];
rz(-1.3087606803728935) q[0];
rx(-1.5571842027327387) q[0];
h q[3];
cx q[1], q[3];
rz(-0.038077298461885775) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
20,
2,
14.5,
7,
17.5,
3,
10.5,
4,
24.5
] | 0.971975 | [
-0.038077298461885775,
1.495145707453342,
-1.3087606803728935,
-1.1542323795899323,
1.4719494406080444,
1.8681753451559386,
-1.8364830450991425,
1.3900851624893737,
-1.521409406940012,
1.506947653596262,
-1.5571842027327387
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 44 |
d90469a3a937de9d59e5f880f1684669 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [692, 331], "expectation_value": -53.56734447449975, "params": [[[1.5726, 0.042800000000000005], [1.9099000000000002, 1.2264000000000002], [1.5734000000000001, 1.5730000000000002], [1.5733000000000001, 1.3227], [1.5727, 1.5691000000000002], [1.5729, -1.0635000000000001], [1.5737, 1.5677], [1.572, 1.5736], [1... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(2)) + 8.5 * Z(1) + 4.5 * Z(2) + 6.0 * Z(3) + -2.5 * Z(0) + 2.0 * Z(4) + 1.5 * Z(5) + 7.5 * Z(6) + 8.5 * Z(8) + 3.5 * Z(7) + 0.5 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["1010110100"], "largest_eigenvalue": 98.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5472409777953007) q[0];
ry(1.4680244724916445) q[1];
ry(1.66015491341845) q[2];
ry(1.5915418132660162) q[3];
ry(1.482835728599612) q[4];
ry(1.5606342232372303) q[5];
ry(1.416815937979669) q[6];
ry(1.56888733954783) q[7];
ry(1.6319733971733954) q[8];
ry(1.498321876... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IZIIIZIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
8.5,
4.5,
6,
-2.5,
2,
1.5,
7.5,
8.5,
3.5,
0.5
] | 0.97742 | [
1.5472409777953007,
1.4680244724916445,
1.66015491341845,
1.5915418132660162,
1.482835728599612,
1.5606342232372303,
1.416815937979669,
1.56888733954783,
1.6319733971733954,
1.4983218767828308,
-1.73161883372903,
1.4861366793702164,
1.572134564217428,
1.6202753771899807,
1.64481303110044... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -80.5,
"target_ratio": 0.97,
"target_value": -78.085
} | 23 |
35a826e5a7a58df96900c43579ad72b8 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [19, 67], "expectation_value": -4.996397975823824, "params": null, "bitstrings": ["1101100", "0111100"], "total_optimization_steps": 27, "probabilities": [0.06635229672484312, 0.9303266266442286], "optimization_time": 22.645402193069458} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -2.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101100", "0111100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.1496367758624985) q[0];
rz(-0.45536035747829384) q[0];
ry(0.18475283773428164) q[1];
rz(-0.3684316163759148) q[1];
cx q[1], q[0];
ry(0.5913973030375745) q[0];
rz(0.11722616609500247) q[0];
ry(0.3599909637968729) q[1];
rz(1.0533580221934051) q[1];
ry(-0.19360345235... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IIZZIII",
"IZZIIII",
"ZIIZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-2,
-0.5,
-1,
-0.5
] | 0.971075 | [
0.1496367758624985,
-0.45536035747829384,
0.18475283773428164,
-0.3684316163759148,
-0.19360345235809318,
-0.36498680608954304,
-0.02402021262306687,
-0.839653501305765,
0.05345801004894575,
0.7897347337261236,
0.03575966835865875,
-0.7046537032732973,
1.5558963714302452,
0.521357374977957... | {
"n_parameters": 157,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 212 |
b092771ce61a8acd6559293acbdc236f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2},... | {"states": [2040, 2047], "expectation_value": -3.9754078936973714, "params": [[-0.07490000000000001], [0.07200000000000001]], "bitstrings": ["00000000111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0012329604874910288, 0.0012755121792145576], "optimization_time": 1.128399133682251} | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(0)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(6)) + -3.5 * (Z(4) @ Z(7)) + -3.0 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 45.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.07944843518069877) q[0];
ry(-0.023055749448330047) q[1];
ry(0.14958704260228906) q[2];
ry(0.11248506586690205) q[3];
ry(0.11248506586690205) q[4];
ry(0.18032321579823166) q[5];
ry(-0.023055749448330047) q[6];
ry(0.060906342767238844) q[7];
ry(0.027217362208406502... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIIIIZIIZI",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIIIZIII... | [
-2.5,
0.5,
-3,
0.5,
-3,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
1,
-3.5,
-3.5,
-3,
0.5,
1,
1,
-2.5,
-3,
1,
-3,
-3,
0.5,
1.5,
-3,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.970735 | [
-0.07944843518069877,
-0.023055749448330047,
0.14958704260228906,
0.11248506586690205,
0.18032321579823166,
0.060906342767238844,
0.027217362208406502,
-0.0625424106758895,
0.18606842741424828,
3.103056982604843,
-0.08228895233511942,
-0.14015800064045528,
0.25884326163599736,
0.0578663963... | {
"n_parameters": 14,
"n_qubits": 11,
"optimal_eigenvalue": -32.5,
"target_ratio": 0.97,
"target_value": -31.525
} | 18 |
24ad81747c6bd1903cd58d045c41656e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 15, "source": 0, "target": 6}, {"weight": 4, "source": 2, "tar... | {"states": [411, 218], "expectation_value": -23.75983248904315, "params": [[0.0395, 0.0081, -0.0286], [-0.0879, -0.0745, -0.028]], "bitstrings": ["001100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.009500426100683638, 0.010368457766038713], "optimization_time": 6.267812728881836} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.18987318583714946) q[0];
rz(0.08611570117784861) q[0];
rx(3.008708522618427) q[1];
rz(0.37688852047103694) q[1];
rx(3.172182647066266) q[2];
rz(0.05701815205645913) q[2];
rx(-0.05299085269519477) q[3];
rz(0.0924171370297011) q[3];
rx(2.8889981301055943) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"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,
16.5,
5,
16.5,
10,
2,
6.5,
2,
14.5,
14
] | 0.974941 | [
0.1898731858371494,
0.09588051186810906,
3.008708522618427,
0.37688852047103694,
3.172182647066266,
0.05701815205645913,
-0.05299085269519477,
0.0924171370297011,
2.8889981301055943,
-0.24767705590774858,
3.2637002917143807,
0.06598201778939591,
0.0961968789558263,
-0.15922885735698689,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 8 |
44db6493095286b918fb0c5bac33de1d | 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": 3, "source": 0, "t... | {"states": [110, 107], "expectation_value": -9.86629785227922, "params": [[0.049100000000000005], [-0.078]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.00809542378610903, 0.00847096637148743], "optimization_time": 1.7847917079925537} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.1114879293616777) q[0];
ry(0.15685993350026523) q[0];
rz(-1.2753559774581484) q[0];
rz(1.6455463798734922) q[1];
ry(0.12439450381357361) q[1];
rz(-2.0806830828243723) q[1];
rz(1.9810033602527488) q[2];
ry(2.948676107721393) q[2];
rz(-1.039626053423473) q[2];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
12,
14,
0,
15.5,
7.5,
11.5,
15
] | 0.972455 | [
0.40466514957797073,
0.2601706792456252,
0.0888412715111685,
0.2573921016905544,
1.8051101402836665,
0.08347576028210325,
0.030504361917943496,
0.08039412607444499,
1.381450409563023,
-0.1699186896737985,
1.1033417399647076,
0.012564086284400422,
0.18792404571706298,
0.07017314689331701,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 19 |
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, 367], "expectation_value": -6.791001730462766, "params": [[0.11120000000000001], [-0.1706]], "bitstrings": ["11100010000", "11010010000"], "total_optimization_steps": 20, "probabilities": [0.0013866312181175493, 0.0013866312181175493], "optimization_time": 4.519793748855591} | 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 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 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 |
5273248133323302655 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 2, 10], [0, 8, 2, 5], [1, 10, 3], [10, 3, 6, 7], [9, 10, 4, 5], [2, 6], [2, 7], [8, 10], [9, 4, 6], [0, 3, 5], [1, 7], [8, 9], [10, 4, 7], [8, 5, 6], [10, 4, 6], [9, 4, 7], [0, 1, 2], [0, 5, 6, 7]]} | {"states": [1051, 1083], "expectation_value": -0.059756387764367175, "params": [[0.0396], [-0.038900000000000004]], "bitstrings": ["01111100100", "01111000100"], "total_optimization_steps": 10, "probabilities": [0.000514976324710774, 0.0005163725928760939], "optimization_time": 32.815608739852905} | 0.16666666666666666 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(9)) + 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(10)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(9)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.249999999999999, "smallest_bitstrings": ["01111000100"], "largest_eigenvalue": 15.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[9];
rz(-0.0034808192830908524) q[9];
cx q[2], q[9];
h q[10];
cx q[2], q[10];
rz(-0.0034808192830908524) q[10];
cx q[2], q[10];
cx q[2], q[0];
rz(-0.005750796311593644) q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIZIIIIIZII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIZIIIIIIIZ",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIIIIZ",
"IIZIIZIIIII",
"IIIIIIIIZZI",
"ZIIIIIIIIZI",
"IIIIIIIIIZZ",
"ZIIIIIIZIII",
"IIIIIIIZIIZ",
"IIIIIZIZI... | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.1666666666666666... | 0.97008 | [
-0.0034808192830908524,
-0.005750796311593644,
0.0007437827853844729,
0.0024627378710764597,
-0.031838153490329674,
-0.0053048288500293465,
-1.5963264378762854,
1.5765261292646995,
1.5800722987556806,
1.5832683532541358,
-1.55494434175642,
1.5657892065702366,
1.556745000515508,
-1.56151635... | {
"n_parameters": 15,
"n_qubits": 11,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 124 |
fdfbddd83ad5e4b88801b3192987124e | 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": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [57, 1], "expectation_value": -1.9369381534819359, "params": [[0.0629, 0.0766, 0.0726], [-0.029300000000000003, -0.061000000000000006, -0.0659]], "bitstrings": ["1000110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.022983235804103504, 0.02358417986344589], "optimization_time": 3.66021203... | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1111110", "1000110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3200396269150379) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.08926708559789197) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.3200396269150379) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.382786... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-1.5,
-1,
2,
-0.25,
-0.75,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
1,
0.75,
-0.25,
0
] | 0.810073 | [
-0.3200396269150379,
0.08926708559789197,
-0.3827861201307439,
0.3471470627240742,
-0.7515704665862538,
-0.3267668593634906,
0.16898582939016338,
-0.7763201657017763,
-0.815770852515257,
-1.535634986606571,
-0.5078065568147562,
-0.15503038467109106,
-0.7855234435767351,
0.5365222126647917,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 448 |
d17fccf50cf7bc420cca6689629bd0f7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"sour... | {"states": [106, 90], "expectation_value": -3.9392823185581807, "params": [-0.0213, -0.0178, 0.0015, -0.002, 0.4087, 0.4087, 0.3891, 0.3911, 0.3911, 0.3995, 0.40590000000000004, 0.4078, 0.1701, 0.1714, 0.39590000000000003, 0.392, 0.3925, 0.3896, -0.0178, -0.0166, -0.0043, -0.0028, 0.4071, 0.40340000000000004, 0.3969000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -2.5 * Z(0) + -1.0 *... | 13 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["110010110", "101011010", "110010101", "101011001", "110100110", "110100101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.28830673081902214) q[0];
rz(0.14210218289514465) q[0];
ry(-0.04608747299605628) q[1];
ry(0.9230837384729899) q[2];
ry(0.843254930760049) q[3];
ry(0.03621360143354609) q[4];
ry(0.690002736830235) q[5];
ry(0.14383503745696924) q[6];
ry(0.9321245282243324) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIIIZZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"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,
-1.5,
-2.5,
-1,
-1,
-1,
-0.5,
-0.5,
-0.5,
0
] | 0.971284 | [
0.28830673081902214,
-0.04608747299605628,
0.9230837384729899,
0.843254930760049,
0.03621360143354609,
0.690002736830235,
0.14383503745696924,
0.9321245282243324,
-0.22182647465051072,
0.2842043657902893,
0.23880995687540396,
-0.08381412963531623,
0.12031013743193825,
0.02973312164724279,
... | {
"n_parameters": 68,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 26 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -15.361953434616453, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 50, "probabilities": [0.10929342150093539, 0.6388706778346432], "optimization_time": 61.88966751098633} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 14 | 6 | 4 | {"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[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | null | {"k": 4} | {"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(-0.069) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-5.75,
-6,
-5.75,
-5.75,
-5.5,
-5.25
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
bd4c1476c3aa7cafea7811e124c4791d | 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": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [246, 127], "expectation_value": -7.233963664700546, "params": null, "bitstrings": ["00001001", "10000000"], "total_optimization_steps": 76, "probabilities": [0.1652386625665458, 0.5947143181571917], "optimization_time": 124.88206696510315} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0671841118139862) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.031280402529584396) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.11694415727298718) q[4];
cx q[1], q[4];
h q[5];
cx q[1], q[5];
rz(0.031280402529584396) ... | 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(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"IIIIZZII",
"ZIIIIZII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
-0.75,
1.5,
-0.5,
-1,
-1,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1.75,
-0.25,
0.5,
-0.25,
-1.25,
0.5,
-1.25,
0.25
] | 0.936479 | [
-0.0671841118139862,
0.031280402529584396,
-0.20947139556786867,
-0.11694415727298718,
-0.03287291360094323,
1.1816672253993616,
1.1537478745059475,
0.9880219403892836,
1.157821183267566,
-1.6276462451756408,
-0.38641150402430224,
0.1639648636376219,
0.761666511676907,
-0.6557486395688252,... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 500 |
2284924743996628534 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 5], [0, 4], [3, 5], [1, 2]]} | {"states": [44, 52], "expectation_value": -0.018330835522503343, "params": [[-0.0434], [0.0533]], "bitstrings": ["010011", "001011"], "total_optimization_steps": 10, "probabilities": [0.016203772696020607, 0.016203772696020607], "optimization_time": 0.3871924877166748} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 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": ["001011", "010011", "101100", "110100"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.2754123170719011) q[1];
h q[2];
cx q[2], q[1];
ry(0.2754123170719011) q[1];
cx q[2], q[1];
ry(-0.7968428243895365) q[1];
ry(1.034322900435286) q[2];
h q[3];
h q[4];
ry(-0.2754123170719011) q[4];
cx q[0], q[4];
ry(0.2754123170719011) q[4];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[2], q[1];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"IZIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"IIIZII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.972871 | [
-0.5508246341438022,
1.4049319463705003,
-0.9853678184154097,
0.7347799887664863,
-0.7178181760474426,
0.5669603541780227,
0.1531441441326295,
-0.4785663273644566,
0.5990858233375992,
-0.26705351250469045,
-0.6365529940501599,
0.3522976548651284,
-0.3014095746112961,
-0.24675609543514881,
... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 14 |
21fb824db9d4571acc6db752df147323 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -1.619343644644749, "params": [[1.5349000000000002, 0.2975, 1.5871000000000002, 0.2944, 1.5838, 0.34500000000000003, 1.5727, 1.5755000000000001, 0.3057, 1.5943, 0.27740000000000004, 1.5869, 0.2854, 1.5746, 0.30870000000000003, 0.3392], [1.5879, 0.3134, 1.5817, 0.2903, 1.5... | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + 0.0002314814814814815 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + 0.0002314814814814815 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0229938271604597], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229938271603904, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0140432098764824} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.25549267704344236) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.25549267704344236) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.25549267704344236) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.30410009839415686) q[1];
rx(0.1258136... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
0.00015432098765432098,
0.0002314814814814815,
0.00015432098765432098,
0.0002314814814814815,
0.25,
-0.0009259259259259261,
-0.0006944444444444445,
-0.0011574074074074073,
-0.0009259259259259261,
-0.0006944444444444445,
-0.00115... | 0.956651 | [
0.25549267704344236,
-0.3041000983941558,
0.9848763284385804,
1.2188036063518455,
-1.2756975813505953,
-1.8944588483939733,
0.2657877683668698,
-1.754342394793927,
-1.3441944115109647,
0.1258136736015813,
-0.15876278426209414,
-1.4367388359047493,
0.1028262008911357,
-0.011542361849532222,... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 500 |
2df93713dba52fbc8f2926f6b2fd57be | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [30711, 30719], "expectation_value": -1.0366594473796797, "params": [1.5985, 0.001, 1.6035000000000001, 0.0053, 1.6088, 0.009600000000000001, 0.0022, 0.0036000000000000003, 1.6021, 0.0081, 1.6001, 0.0088, 1.6099, 0.0088, 1.6124, 0.0057, 1.607, 0.0048000000000000004, 1.6116000000000001, 0.0021000000000000003,... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(2)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(5)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.... | 16 | 15 | 1 | {"smallest_eigenvalues": [-18.624999999999538], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.37499999999943, "smallest_bitstrings": ["000100000000000"], "largest_eigenvalue": 39.374999999999986} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIZIZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIIZII",
"IZIIIIIIIIZIIII",
"IZIIIIIIIIIIZII",
"IZIIIIIIIZIIIII",
"ZIIIIIIIIIZIIII",
"ZIIIIIIIIIIIZII",
"ZIIIIIIIIZIIIII",
"ZZIIIIIIIIIIIII",
"IIIIIIIIZIZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIZIIZIIII",
"IIIIIIIZIZIIIII",
"... | [
0.375,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1,
0.75,
0.75,
4.5,
2.375,
4.5,
2.5,
2.5,
2,
2,
1.5,
1,
1.5,
0.5,
0.5,
-0.125
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
3881640076007148111 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 2, 6], [1, 6, 7], [1, 3], [0, 8, 1, 6], [3, 5, 6], [8, 3, 6, 7], [2, 3], [0, 4], [8, 0, 7], [0, 8, 3, 5], [5, 7], [8, 2, 4, 6], [0, 2, 5, 6], [8, 3, 4, 5], [0, 3, 7]]} | {"states": [61, 55], "expectation_value": -3.867413011556771, "params": null, "bitstrings": ["111000010", "111001000"], "total_optimization_steps": 62, "probabilities": [0.059117715608570695, 0.7757707221623323], "optimization_time": 154.5048279762268} | 0.41666666666666663 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.25 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.083333333333334, -4.083333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.916666666666668, "smallest_bitstrings": ["011010010", "111001000"], "largest_eigenvalue": 13.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.4771681445020017) q[0];
rz(0.0854124382472719) q[0];
ry(-0.18385935764717323) q[1];
ry(0.1419205062216583) q[2];
ry(1.5027221621802755) q[3];
ry(-0.24860911657708434) q[4];
ry(1.4802792578179793) q[5];
ry(1.6991393071129555) q[6];
ry(-0.14577338951446692) q[7];
ry(... | 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(1.5668) 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] = m... | [
"ZIIIIIIIZ",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IIZIIIZII",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIZIIIIZI",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZZIIIIII",
"IZIIIIIZI",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IIIIIZIZI",
"IZIIIZIII",
"IIIZIIIIZ",
"ZIIZIIIII",
"... | [
0.41666666666666663,
0.16666666666666666,
0.16666666666666666,
0.25,
0.3333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.25,
0.25,
0.16666666666666666,
0.25,
0.25,
0.5,
0.25,
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.... | 0.979998 | [
1.4771681445020017,
-0.18385935764717323,
0.1419205062216583,
1.5027221621802755,
-0.24860911657708434,
1.4802792578179793,
1.6991393071129555,
-0.14577338951446692,
1.7325555349643476,
0.1708248764945438,
-0.10736656610440548,
-0.13133609747929692,
-0.01957013224336754,
-0.620944956824627... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -4.083333333333334,
"target_ratio": 0.97,
"target_value": -3.960833333333334
} | 15 |
3453141621845394121 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5, 6], [0, 1, 3, 6], [1, 3, 4, 5, 6, 7], [2, 5], [2, 7], [0, 1, 2, 4, 6], [0, 2, 3, 6]]} | {"states": [213, 221], "expectation_value": -0.6588356572526199, "params": [[-0.2841], [0.27640000000000003]], "bitstrings": ["00101010", "00100010"], "total_optimization_steps": 30, "probabilities": [0.008477830280621913, 0.008648082238233086], "optimization_time": 3.7977867126464844} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.19999999999999998 * (Z(6) @ Z(5)) + 0.3833333333333333 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(5)) + 0.13333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666669 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.2 * (Z(3) @ Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9500000000000006, "smallest_bitstrings": ["00100010"], "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];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.021354324340520366) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(0.13707907271360575) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(-0.009507373292032186) q[1];
cx q[5], q[1];
cx q[5], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IZIIIIZI",
"IIZIZIII",
"IIIIZIIZ",
"IZIIZIII",
"IIIIZIZI",
"IIZZIIII",
"IIIZIIIZ",
"IZIZIIII",
"IIIZIIZI",
"IIIZZIII",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIZIIZII",
"IIIIIZIZ",
"IZIIIZI... | [
0.16666666666666666,
0.19999999999999998,
0.3833333333333333,
0.03333333333333333,
0.13333333333333333,
0.16666666666666669,
0.03333333333333333,
0.16666666666666666,
0.2,
0.11666666666666667,
0.03333333333333333,
0.05,
0.08333333333333334,
0.08333333333333334,
0.03333333333333333,
0.0... | 0.972345 | [
0.021354324340520366,
0.13707907271360575,
-2.643549990297503,
-0.009507373292032186,
0.026513374791296083,
0.2466480333438958,
-0.021789254603079004,
0.02260061128063085,
-0.07994494326768907,
-1.6419476639127193,
1.675770320442853,
-1.4511915281030718,
-1.602638307544141,
-1.740796965807... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -2.1166666666666667,
"target_ratio": 0.97,
"target_value": -2.053166666666667
} | 199 |
6211599361614066600 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 3, 5], [8, 9, 5, 6], [9, 2], [0, 9, 5, 7], [1, 3, 6], [8, 1, 9, 0], [0, 9, 3, 8], [8, 0, 2, 5], [3, 4, 6], [2, 6]]} | {"states": [605, 601], "expectation_value": -2.848806867135699, "params": [1.7187000000000001, 1.4186, -0.1047, 0.0999, 0.0025, 0.0025, 1.3512, 1.7866000000000002, 0.0036000000000000003, -0.0008, 0.9334, 2.2026, 1.5619, 1.578, 1.0384, 0.4827, 1.6312, 1.5033, 1.3992, 1.7532, 0.171, 2.2840000000000003, -0.0902, 0.0065000... | 0.3333333333333333 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.25 * (Z(5) @ Z(9)) + 0.25 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(9)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.08333333... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9166666666666665, "smallest_bitstrings": ["0110100110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.8052595384951384) q[0];
rz(pi/2) q[0];
ry(-0.2428997723518074) q[1];
ry(-0.06485314087879444) q[2];
ry(1.5731011657461496) q[3];
ry(0.21666298454666183) q[4];
ry(0.9715692763845065) q[5];
ry(1.5591711894474125) q[6];
ry(0.7613012378073946) q[7];
ry(1.8105330426309... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIIII",
"ZIIIIIZIII",
"IZIIIIZIII",
"ZIIIZIIIII",
"IZIIZIIIII",
"IIIIZIZIII",
"ZIIZIIIIII",
"IZIZIIIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIZIIZII",
"IIIZIIIZII",
"ZIIIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIIIIIZIZ",
"ZIZIIIIIII"... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666... | 0.971359 | [
1.8052595384951384,
-0.2428997723518074,
-0.06485314087879444,
1.5731011657461496,
0.21666298454666183,
0.9715692763845065,
1.5591711894474125,
0.7613012378073946,
1.810533042630915,
1.0971627639043602,
0.289484213275891,
-0.7496193009937216,
-0.32645226743983935,
-0.283111467511951,
0.2... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -3.0000000000000004,
"target_ratio": 0.97,
"target_value": -2.91
} | 22 |
d342f36573e8f4be8484fccf8571b55a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"sour... | {"states": [75, 79], "expectation_value": -5.049839517712913, "params": [[[-0.0045000000000000005, 0.32980000000000004], [-0.022500000000000003, 0.3113], [0.6057, -0.0006000000000000001], [0.3332, -0.07010000000000001], [-0.0151, 0.3143], [0.6075, 0.004], [0.6076, 0.0011], [0.6081, -0.0008], [0.6047, -0.001200000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(1) + -2.0 * Z(0) + 0.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110010100", "110110000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.029951692677949403) q[0];
rz(1.9116540003965845) q[0];
rx(0.04363562008631845) q[1];
rz(2.056660689286657) q[1];
rx(1.397652547854545) q[2];
rz(1.5953619226007003) q[2];
rx(0.24247565553288697) q[3];
rz(1.4131168770172193) q[3];
rx(-0.015079619152898642) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIIIZZIII",
"IIIZZIIII",
"ZIIIZIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
0,
-1.5,
-1,
-0.5,
-0.5,
-1.5,
0
] | 0.976303 | [
-0.029951692677949407,
0.34085767360168884,
0.04363562008631845,
0.4858643624917605,
1.3976525478545447,
0.024565595805803184,
0.24247565553288697,
-0.15767944977767728,
-0.01507961915289864,
-0.0038570197753126714,
0.928248865982606,
0.0005964073115880958,
0.9689651403783367,
-0.167758160... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 16 |
9f16651ff069e7e4b10d7e6e3ea493cf | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.3335517656371458, "params": [[0.07250000000000001, 0.06860000000000001], [-0.07780000000000001, -0.0584]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005522323026427259, 0.0059185616258102085], "optimization_time": 2.9917607... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.10963318844684469) q[0];
ry(-0.10784227629783924) q[1];
ry(0.04903416532490154) q[2];
ry(-0.06456811418837632) q[3];
ry(-0.06278920391668384) q[4];
ry(0.016083486528017166) q[5];
ry(-0.09115505483951711) q[6];
ry(3.0615251106487658) q[7];
cx q[7], q[0];
cx q[6], 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] 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] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIIIZZI",
"ZIIZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
0,
-0.25,
0,
-0.75,
0.5,
0,
0.5,
0
] | 0.970232 | [
0.10963318844684469,
-0.10784227629783924,
0.04903416532490154,
-0.06456811418837632,
-0.06278920391668384,
0.016083486528017166,
-0.09115505483951711,
3.0615251106487658,
0.6745970847881372,
0.004343756851912965,
-0.11081314270066006,
-0.2897526101286637,
-0.016448119872728477,
-0.2862374... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
-1424619592659475064 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 5, 6, 8], [0, 1, 2, 3, 4, 5, 7, 8]]} | {"states": [239, 253], "expectation_value": -0.1649968126524344, "params": [[-0.6655], [0.5085000000000001]], "bitstrings": ["100010000", "100000010"], "total_optimization_steps": 70, "probabilities": [0.00314664526421561, 0.00314664526421561], "optimization_time": 6.738522529602051} | 0.06785714285714287 * (Z(0) @ Z(1)) + 0.06785714285714287 * (Z(5) @ Z(1)) + 0.06785714285714287 * (Z(5) @ Z(0)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.06785714285714287 * (Z(8) @ Z(1)) + 0.06785714285714287 * (Z(8) @ Z(0)) + 0.06785714285714287 * (Z(8) @ Z(5)) + 0.05 * (Z(8) @ Z(6)) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.3941329272561538) q[0];
rz(0.9681430331698389) q[0];
rx(0.5673214065581677) q[1];
rz(0.6177255581528871) q[1];
rx(1.6656322765312301) q[2];
rz(0.19806219761404442) q[2];
rx(1.6435269589318775) q[3];
rz(0.39687094940883183) q[3];
rx(1.9306487037848337) q[4];
rz(0.32... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIZII",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"... | [
0.06785714285714287,
0.06785714285714287,
0.06785714285714287,
0.05,
0.05,
0.05,
0.06785714285714287,
0.06785714285714287,
0.06785714285714287,
0.05,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.... | 0.97081 | [
1.394132927256154,
0.7177803334774203,
0.5673214065581678,
0.44897449642441306,
1.66563227653123,
0.19613661816089104,
1.6435269589318775,
0.40746879939411035,
1.9306487037848337,
0.30875132120258714,
1.9663882911450268,
-0.04794087168866629,
1.744061636679754,
-0.04970026794954406,
1.58... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -0.37857142857142856,
"target_ratio": 0.97,
"target_value": -0.3672142857142857
} | 85 |
a524fb9bbf4c04d4c6f1ca508b56ffce | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 7, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target":... | {"states": [1023, 1007], "expectation_value": -34.28297825147568, "params": [[[-0.0002, -0.2247], [0.0044, 0.008], [0.0036000000000000003, 0.002], [0.0012000000000000001, 0.0018000000000000002], [0.0054, 0.0031000000000000003], [0.0118, 0.002], [0.6802, 0.002], [0.0036000000000000003, -0.0018000000000000002], [0.003400... | -1.75 * (Z(0) @ Z(6)) + -1.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -1.25 * (Z(10) @ Z(6)) + -1.0 * (Z(10) @ Z(0)) + -2.0 * (Z(10) @ Z(8)) + -1.0 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(10)) + -1.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(10)) + -1.5 * (Z(7) @ Z(1)) + -1.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(10)) + -1.75 * (Z(... | 15 | 11 | 4 | {"smallest_eigenvalues": [-34.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.75, "smallest_bitstrings": ["10000010000"], "largest_eigenvalue": 33.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.09638113990729595) q[0];
ry(0.06607339754077486) q[1];
ry(0.046416257787157834) q[2];
ry(0.12517856907092523) q[3];
ry(-0.1540478767354107) q[4];
ry(0.06157746255226039) q[5];
ry(-0.649478854599135) q[6];
ry(-0.08092271970226839) q[7];
ry(-0.046641246228506725) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"ZIIIZIIIIII",
"ZIIIIIIIIIZ",
"ZIZIIIIIIII",
"IIIIZIIIIZI",
"ZIIIIIIIIZI",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIIZI",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"IZIIIIIIIZI",
"IZIZIIIIIII",
"IIIIZIIZIII",
"ZIIIIIIZIII",
"IIIZIIIZIII",
"IZIIIIIZI... | [
-1.75,
-1.5,
-0.5,
-1.25,
-1,
-2,
-1,
-1,
-1.5,
-0.25,
-1.5,
-1.75,
-0.5,
-1.75,
-1.25,
-2,
-0.5,
-0.25,
-1.5,
-1,
-1.5,
-1,
-1.5,
-0.75,
-0.5,
-1.5,
-0.5,
-0.25,
-1.25,
3.5,
-1,
-1.25,
-0.75,
-0.75,
-9.25,
-0.25,
-0.5,
3.75,
0.5,
-2.5,
... | 0.971581 | [
0.09638113990729595,
0.06607339754077486,
0.046416257787157834,
0.12517856907092523,
-0.1540478767354107,
0.06157746255226039,
-0.649478854599135,
-0.08092271970226839,
-0.046641246228506725,
-1.6671912258767665,
0.03786030270160599,
0.007753563313741926,
-0.03863878895563367,
-0.066186609... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -34.75,
"target_ratio": 0.97,
"target_value": -33.707499999999996
} | 19 |
9b4be5d748a292e481722f1ef8f75020 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [14, 10], "expectation_value": -5.431267137021939, "params": [0.0023, 0.618, 0.0012000000000000001, 0.6172000000000001, 0.00030000000000000003, 0.5985, 0.0032, 0.5693, 0.7923, 0.1463, 0.4929, 0.3156, 0.7977000000000001, 0.30160000000000003, 0.4889, 0.2781, 0.0022, 0.6093000000000001, 0.0035, 0.6108, 0.007, 0... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14463547101575489) q[0];
rz(-0.9013886526061183) q[0];
rx(0.14200284685399922) q[1];
rz(0.6212693590588447) q[1];
rx(-0.14471618748001755) q[2];
rz(0.4407728646085142) q[2];
rx(-0.14471618748001755) q[3];
rz(-0.9525842351766118) q[3];
rx(1.8131142699027647) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZII... | [
-0.5,
-0.5,
0.4,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
1,
-0.2,
2,
-1.7000000000000002,
-1.7000000000000002,
1.5,
3,
1.5,
-0.6000000000000001,
-0.30000000000000004
] | 0.972151 | [
0.1446354710157549,
-0.737814615895959,
0.14200284685399922,
0.6212693590588447,
-0.14471618748001755,
0.4407728646085142,
-0.9525842351766118,
1.8131142699027647,
0.16895032385674386,
0.13369873663334575,
0.20067474335624766,
1.5954489610039433,
0.23189398635567227,
0.7353956036851526,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -6.6000000000000005,
"target_ratio": 0.97,
"target_value": -6.402
} | 16 |
ce21934f35590d987f4c5aaf48137128 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [660, 1684], "expectation_value": -110.27375203417465, "params": [[0.3864, 0.057, 0.9603, 0.0038, 0.7821, -0.1327, -0.0555, 0.7938000000000001, 0.0333, 0.7911, 0.0038, -0.0019], [0.3865, 0.6988000000000001, 0.9768, -0.0019, 0.8378, -0.0414, -0.050100000000000006, 0.7884, -0.027200000000000002, 0.7871, 0.0023... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(11) @ Z(9)) + 7.0 * Z(1) + 2.0 * Z(0) + 7.5 * Z(2) + -4.5 * Z(3) + 2.0 * Z(5) + 8.5 * Z(4) + 1.0 * Z(6) + 7.5 * ... | 10 | 12 | 3 | {"smallest_eigenvalues": [-133.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -111.5, "smallest_bitstrings": ["100101101011"], "largest_eigenvalue": 108.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.09317247608377378) q[0];
ry(0.10739481766049147) q[1];
ry(1.1064290707159599) q[2];
ry(-0.13141566406943106) q[3];
ry(1.0707716843601143) q[4];
ry(-0.11743966064651597) q[5];
ry(-0.057942437033947615) q[6];
ry(0.6341457991693623) q[7];
ry(-0.07140187111849351) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"IZIIZIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIZIIIIII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
7,
2,
7.5,
-4.5,
2,
8.5,
1,
7.5,
10,
-3,
-3,
-7.5
] | 0.971589 | [
-0.09317247608377378,
0.10739481766049147,
1.1064290707159599,
-0.13141566406943106,
1.0707716843601143,
-0.11743966064651597,
-0.057942437033947615,
0.6341457991693623,
-0.07140187111849351,
0.8105541325406498,
-0.06314822921950215,
0.3105849544835188,
1.318851278206632,
1.168865550498473... | {
"n_parameters": 45,
"n_qubits": 12,
"optimal_eigenvalue": -133.5,
"target_ratio": 0.97,
"target_value": -129.495
} | 15 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.