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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-3952313816946169383 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 3, 5], [0, 1, 2, 4, 6, 8, 9], [1, 2, 4, 5, 6, 8, 9], [2, 3, 5, 6, 7, 9], [0, 1, 2, 3, 6, 7, 8], [0, 2, 4, 7, 8, 9]]} | {"states": [1023, 956], "expectation_value": 0.3330763829663073, "params": [0.7068, -0.0024000000000000002, 0.7012, 0.0045000000000000005, 0.6998000000000001, -0.0025, 0.6987, 0.0053, 0.6948000000000001, 0.003, 0.6949000000000001, 0.0098, 0.7040000000000001, 0.0016, 0.6969000000000001, 0.0027, 0.7069000000000001, 0.002... | 0.13095238095238093 * (Z(0) @ Z(1)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.10714285714285714 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.07142857142857142 * (Z(2) @ Z(1)) + 0.08095238095238094 * (Z(2) @ Z(0)) + 0.05714285714285... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.2214285714285713, -1.2214285714285713, -1.2214285714285713], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.1880952380952383, "smallest_bitstrings": ["0001000011", "0011100000", "0100000101"], "largest_eigenvalue": 5.999999999999994} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.8585661028538387) q[0];
rz(1.556814612822686) q[0];
rx(-2.7994090229303734) q[1];
rz(1.5575002789684893) q[1];
rx(-0.3548795464837527) q[2];
rz(1.580306699590114) q[2];
rx(2.667283181235347) q[3];
rz(1.5614193312934024) q[3];
rx(0.4802080724890668) q[4];
rz(1.4971... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIIIZIZII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIZIIIZII",
"IIIZIZIIII"... | [
0.13095238095238093,
0.10714285714285714,
0.10714285714285714,
0.10714285714285714,
0.08333333333333333,
0.11666666666666667,
0.07142857142857142,
0.08095238095238094,
0.05714285714285714,
0.05714285714285714,
0.047619047619047616,
0.05714285714285714,
0.023809523809523808,
0.0809523809523... | 0.97005 | [
1.858566102853839,
-0.013981713972210466,
3.4837762842492133,
-0.013296047826406646,
-0.3548795464837528,
0.009510372795218564,
2.667283181235347,
-0.009376995501494142,
0.4802080724890667,
-0.07361624489025564,
0.5524588357240466,
-0.11757874965749379,
3.2454059597466056,
-0.0246274352141... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -1.2214285714285713,
"target_ratio": 0.97,
"target_value": -1.184785714285714
} | 482 |
6901915ed5d336631039214c5656376a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [686, 678], "expectation_value": -57.26936954539915, "params": [1.4101000000000001, 0.0005, 2.2107, 0.0, 1.2666000000000002, 0.0061, 2.1973000000000003, 0.0088, 1.4448, 0.0097, 2.2051000000000003, 0.003, 0.0031000000000000003, 0.009300000000000001, 1.5397, 0.0027, 2.21, 0.0037, 2.1943, 0.0025, -0.00310000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(10) @ Z(8)) + 3.0 * Z(0) + 16.0 * Z(1) + 2.0 * Z(2) + 10.0 * Z(3) + 3... | 18 | 11 | 1 | {"smallest_eigenvalues": [-119.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.0, "smallest_bitstrings": ["10101011001"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.2825664582570516) q[0];
rz(-0.5207517226791283) q[0];
rx(3.0181834884603624) q[1];
rz(-0.6834362221060378) q[1];
rx(-0.3615213327236217) q[2];
rz(0.14649353632180623) q[2];
rx(3.1694076262029003) q[3];
rz(-0.9486915587973164) q[3];
rx(-0.2560058573382765) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
3,
16,
2,
10,
3,
13,
-6,
13,
3.5,
15.5,
-5
] | 0.973057 | [
0.2825664582570516,
-0.5300882951806761,
3.0181834884603624,
-0.6834362221060378,
-0.3615213327236217,
0.14649353632180623,
3.1694076262029003,
-0.9486915587973164,
-0.2560058573382765,
0.11547333602458398,
3.257496309896771,
-0.3135782898174215,
0.35414003722228815,
-0.0025042976550499474... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -119,
"target_ratio": 0.97,
"target_value": -115.42999999999999
} | 21 |
c50296516e252b9c1e070b9a76835378 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5},... | {"states": [0, 31], "expectation_value": -19.815397779232995, "params": [-0.0048000000000000004, 1.8052000000000001, 0.0033, 0.0053, 0.0015, -1.9791, -0.0089, 0.0049, 0.5105000000000001, -0.0056, 0.7657, 0.0082, -0.0041, 1.5867, 0.0018000000000000002, 0.0067, -0.0018000000000000002, 1.5419, 0.0017000000000000001, 0.009... | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + 0.5 ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["11111100000"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.10551436273274711) q[0];
rz(2.764689278408918) q[0];
rx(0.11448993500046536) q[1];
rz(-0.541453653359401) q[1];
rx(0.054982180109382134) q[2];
rz(0.04812173537811448) q[2];
rx(-0.0715641637721751) q[3];
rz(2.3951799135924645) q[3];
rx(-0.01644311206079482) 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[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIII... | [
-2.5,
0.5,
-2.5,
0.5,
-3,
-2.5,
0.5,
0.5,
-3,
0.5,
1,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-1.5,
1,
-2.5,
1.5,
-2.5,
1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970248 | [
0.10551436273274713,
1.1938929516140215,
0.11448993500046536,
-2.1122499801542975,
0.054982180109382134,
-1.522674591416782,
-0.07156416377217509,
0.8243835867975691,
-0.01644311206079482,
1.31844850736874,
-0.10982640157584331,
2.4689548053595023,
-0.9708581581977698,
0.9466408894366348,
... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 387 |
66f75df6a73731ca3dfcd77bd9b8f9a8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [0, 111], "expectation_value": -3.1566330364761956, "params": [-0.2823, 0.060700000000000004, -0.23240000000000002, 0.35650000000000004, -0.2863, 0.0526, -0.2363, 0.4077, -0.2464, 0.10690000000000001, -0.2082, 0.3078, -0.2958, 0.1044, -0.24080000000000001, 0.41400000000000003, -0.2968, 0.14750000000000002, -... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 6 | 7 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.5948060088334446) q[0];
rz(2.75476497416349) q[0];
rx(1.1536880317161984) q[1];
rz(-2.5506922440046464) q[1];
rx(-0.3980453346676857) q[2];
rz(2.6285697961866923) q[2];
rx(-2.1859488611686606) q[3];
rz(-3.0403900431441846) q[3];
rx(-1.6370190111416911) q[4];
rz(2.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970969 | [
1.5948060088334446,
1.1839686473685938,
1.1536880317161984,
2.1616967363800432,
-0.39804533466768566,
1.0577734693917953,
-2.1859488611686606,
1.671998937240505,
-1.6370190111416911,
1.3936221263282822,
-0.3367839141949689,
0.20393829066176794,
-1.0278306138913633,
1.9705848592071784,
0.... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 212 |
1836f56c6aacade8d2873047a951421e | 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": 14, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 7}, {"weight": 13, "source": 1, "tar... | {"states": [243, 234], "expectation_value": -20.73760727431903, "params": [[-0.033, -0.0236, 0.0079, 0.0664], [0.0567, 0.060700000000000004, 0.045700000000000005, -0.0194]], "bitstrings": ["100001100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.008504863729952784, 0.011258085273286242], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 11.5 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 142.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.20266467470833227) q[0];
rz(2.168432193317308) q[0];
rx(0.07081375388277941) q[1];
rz(1.7717666353110797) q[1];
rx(0.13646139574937427) q[2];
rz(1.3847292031501102) q[2];
rx(0.11845607904840359) q[3];
rz(1.5638165193041313) q[3];
rx(-0.36514156036254475) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
6,
18,
11,
4,
12.5,
2,
10.5,
8.5
] | 0.972406 | [
-0.20266467470833233,
0.5976358665224123,
0.07081375388277941,
0.2009703085161829,
0.13646139574937427,
-0.18606712364478684,
0.1184560790484036,
-0.0069798074907648205,
-0.3651415603625448,
-0.3989072995223136,
0.27120050297296056,
0.08141328367978312,
0.0618548223809936,
0.44064280983791... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 91 |
3158514289806292365 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [1, 5], [0, 3, 5], [0, 2, 3, 4], [1, 2, 3, 4], [2, 3, 5], [0, 1, 3, 4]]} | {"states": [52, 43], "expectation_value": -0.047760652132141194, "params": [[0.0661], [-0.050800000000000005]], "bitstrings": ["001011", "010100"], "total_optimization_steps": 10, "probabilities": [0.016275501588345214, 0.016349869495766757], "optimization_time": 1.9171874523162842} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.916666666666667, "smallest_bitstrings": ["010100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0065763757669613995) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0065763757669613995) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0065763757669613995) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.1753282613639... | 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[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... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.25,
0.25,
0.25,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.41666666666666685,
0.5833333333333335,
0.5833333333333335,
0.3333... | 0.748033 | [
-0.0065763757669613995,
0.17532826136397936,
-0.00575777032224839,
0.5628196759983811,
-1.5422609227926791,
1.6019473640725568,
-1.3761784133973145,
1.5716113771843634,
-1.4589971762994633
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -2.083333333333334,
"target_ratio": 0.97,
"target_value": -2.020833333333334
} | 236 |
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": -7.2339636647005445, "params": null, "bitstrings": ["00001001", "10000000"], "total_optimization_steps": 76, "probabilities": [0.1652386625665458, 0.5947143181571917], "optimization_time": 115.57990837097168} | -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 | 2 | {"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 |
668f90355fba57bcb4fb60386433c90f | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [106, 107], "expectation_value": -26.952698639577534, "params": null, "bitstrings": ["10010101", "10010100"], "total_optimization_steps": 100, "probabilities": [0.062152393794066674, 0.2689894451535224], "optimization_time": 133.76994252204895} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03151214468051604) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03151214468051604) q[2];
cx q[0], q[2];
rz(-1.5704264103695476) q[0];
rx(-1.5760082004320597) q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.03151214468051604) q[4];
cx... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
7.5,
14,
13,
2,
13.5,
4.5,
13
] | 0.924291 | [
-0.03151214468051604,
-1.5704264103695473,
1.5705991780520145,
1.5706765641735296,
1.5707989169663568,
-1.57058498502492,
1.5712808281552364,
-1.5760082004320595
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 204 |
4743a42b98680c4f321c8f72a752812d | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [287, 447], "expectation_value": -11.414364348807236, "params": null, "bitstrings": ["011100000", "001000000"], "total_optimization_steps": 91, "probabilities": [0.15640941847284406, 0.6925526015669172], "optimization_time": 158.06605219841003} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 3 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"], "largest_eigenvalue": 30.166666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.46649451005994) q[0];
h q[1];
ry(0.6154181234488859) q[1];
h q[2];
ry(-0.5514930215325138) q[2];
h q[3];
cx q[3], q[1];
ry(-0.6154181234488859) q[1];
cx q[3], q[1];
ry(0.8741378410306877) q[3];
cx q[1], q[3];
ry(-0.8741378410306877) q[3];
cx q[1], q[3];
cx ... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.2475) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIZZIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
2,
0.5,
-0.5,
-0.5,
1,
2,
1,
0.16666666666666674,
0.16666666666666674,
-0.5,
-0.5,
3.5,
7,
3.5,
-0.16666666666666666
] | 0.972673 | [
0.2709847211916842,
0.40264555795763096,
0.12899811327846203,
1.513137859795444,
0.35718583373419116,
1.7142782611060803,
1.7328222848880896,
0.6485768347912756,
1.4510178964029241,
1.2308362468977718,
1.7482756820613754,
0.93298902011988,
0.15122911101274447,
-1.1029860430650276,
0.1357... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -12.166666666666666,
"target_ratio": 0.97,
"target_value": -11.801666666666666
} | 19 |
807a63e492ab5ccd6fcf63229c2e7564 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target":... | {"states": [511, 508], "expectation_value": -0.11718952782994688, "params": [[-0.0236], [0.0134]], "bitstrings": ["000000000", "000000011"], "total_optimization_steps": 10, "probabilities": [0.0020306842463921446, 0.0020306842463921454], "optimization_time": 1.1418161392211914} | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + 0.5 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000", "000000011"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.74117119744848) q[0];
h q[1];
ry(0.6885639730002503) q[1];
h q[2];
ry(0.6885639730002503) q[2];
h q[3];
h q[4];
h q[5];
ry(0.6885639730002503) q[5];
h q[6];
ry(0.6885639730002503) q[6];
cx q[3], q[6];
ry(-0.6885639730002503) q[6];
cx q[3], q[6];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIIZZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-2,
-3,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
-3,
0.5,
-1.5,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.910439 | [
1.3771279460005006,
1.48234239489696,
1.5465403064569045,
-0.6317344562024765,
-0.5650975507824237,
0.850266822286345,
0.02664195629579482,
0.48566728694622985,
0.00606467331484449,
0.48206041567987373,
1.7749329490975818,
0.23554552075387317,
-0.023687982585712784,
0.21173874306550478,
... | {
"n_parameters": 64,
"n_qubits": 9,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
a99f86c3cb9c5f9afbf3a51c1f63c621 | 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": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capac... | {"states": [477, 511], "expectation_value": -6.9541874064609726, "params": null, "bitstrings": ["1000100010", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.26992077449599866, 0.41179609845945153], "optimization_time": 299.4011158943176} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.0008973377137980517) q[0];
ry(-0.07724966896180495) q[1];
ry(0.008071608743200348) q[2];
ry(-0.10161355622365542) q[3];
ry(0.0008973377137980517) q[4];
ry(0.007334187244498271) q[5];
ry(-0.023899058811940974) q[6];
ry(0.03792980714752836) q[7];
ry(0.07457937914449... | 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(1.4894) 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]... | [
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIZIZIIIII",
"IIIIZIIIZI",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"IIIIIZIZII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"ZIIIIZIIII"... | [
-0.75,
-1.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
1.75,
-0.25,
-1,
-0.5,
-1.75,
-1,
-1,
-1,
-1.5,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.75,
-0.5,
-1,
-1,
-0.75,
-0.25,
-1.25,
-0.25,
0.5,
-2,
0,
1.5,
-1.75,
-0.25,
-0.25,
3.75
] | 0.970659 | [
0.0008973377137980517,
-0.07724966896180495,
0.008071608743200348,
-0.10161355622365542,
0.007334187244498271,
-0.023899058811940974,
0.03792980714752836,
0.07457937914449166,
1.9130910066636795,
-0.15561674932195602,
-0.05138019592625169,
0.018200923871852043,
-0.002300110658170281,
0.003... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 44 |
a8ba1a0f593c8b4eafc04194925ea252 | 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": [455, 327], "expectation_value": -98.30527845971999, "params": [0.0021000000000000003, 0.0043, 0.5258, 0.5305, 0.17930000000000001, 0.17700000000000002, 0.5118, 0.5057, -0.0017000000000000001, -0.0011, 0.0026000000000000003, 0.0043, 0.027, 0.0005, 0.5141, 0.5201, 0.386, 0.3885, 0.4787, 0.4864, -0.002, 0.0006... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(8)) + 14.5 * Z(2) + 12.0 * Z(1) + 23.0 * Z(3) + 2.0 * Z(4) + 1... | 14 | 10 | 3 | {"smallest_eigenvalues": [-105.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.0, "smallest_bitstrings": ["1010111000"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.04426668118150708) q[0];
rz(pi/2) q[0];
ry(0.45016086456374543) q[1];
ry(-0.0425509715907785) q[2];
ry(0.71725014968398) q[3];
ry(-0.27651117615292975) q[4];
ry(-0.11251091420645473) q[5];
ry(0.13399127693367696) q[6];
ry(0.4050224408497945) q[7];
ry(0.34154412183... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIIIIZIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14.5,
12,
23,
2,
1,
15.5,
14.5,
12,
-8.5,
-11
] | 0.973676 | [
0.04426668118150708,
0.45016086456374543,
-0.0425509715907785,
0.71725014968398,
-0.27651117615292975,
-0.11251091420645473,
0.13399127693367696,
0.4050224408497945,
0.3415441218350091,
0.18281396984164308,
-0.1098868264028399,
-0.16334397989753446,
0.1993327389840575,
0.378591569243788,
... | {
"n_parameters": 116,
"n_qubits": 10,
"optimal_eigenvalue": -105,
"target_ratio": 0.97,
"target_value": -101.85
} | 8 |
6abfcea40fcfb2aee6e60541a981751a | 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": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [25, 91], "expectation_value": -2.1972088445682085, "params": null, "bitstrings": ["11100110", "10100100"], "total_optimization_steps": 42, "probabilities": [0.16011577782086361, 0.6996868065175307], "optimization_time": 36.15629482269287} | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000000", "10100100", "10000100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-1.0595857759622829) q[0];
cx q[7], q[0];
rz(0.6048134702058414) q[0];
rx(1.029216584893515) q[0];
cx q[7], q[6];
rz(0.6048134702058412) q[6];
cx q[7], q[6];
cx q[6], q[1];
rz(-0.097899551... | 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];\ncry(1.4449) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IZIIIZII",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0.5,
0,
-0.25,
0.25,
0.25
] | 0.577358 | [
-1.0595857759622829,
0.6048134702058412,
-0.09789955183094325,
-0.06106895996654886,
-1.6195074235481492,
1.0292165848935153
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 157 |
62ca4fdc3f835f51dee1780376d2bf19 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 38], "expectation_value": -3.996464044453145, "params": null, "bitstrings": ["001101", "011001"], "total_optimization_steps": 25, "probabilities": [0.06634810229922904, 0.9303665171780984], "optimization_time": 19.689011812210083} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
5a8eac0760a558d4174437be478ec0aa | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -2.383913087124995, "params": null, "bitstrings": ["1011", "0111"], "total_optimization_steps": 8, "probabilities": [0.12800218251741974, 0.7559118157937839], "optimization_time": 2.370027780532837} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 1], "expectation_value": -6.193832856874677, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 16, "probabilities": [0.16217477587726464, 0.8147160154427896], "optimization_time": 9.181733131408691} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.403513744402808) q[0];
rz(-pi) q[1];
ry(-0.26244175595439895) q[1];
rz(-pi) q[2];
ry(-0.029488094427819626) q[2];
h q[3];
ry(-1.4713482188317892) q[3];
h q[4];
cx q[4], q[0];
ry(0.403513744402808) q[0];
cx q[4], q[0];
ry(-1.102703959745292) q[0];
ry(1.6020... | 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];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-1.5,
-1,
1.75,
-0.75,
-1.25,
-1,
1.5,
-0.25,
0.75,
0.25,
-2.25
] | 0.971362 | [
-1.4713482188317892,
-0.807027488805616,
1.4911052735712893,
-1.102703959745292,
-1.7020375436318982,
-1.833778612837321,
0.221883680341239,
0.20350624481836382,
0.0010810601760510158,
0.1165906038876539
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 14 |
9b6c90aee56ab84919f7c826e678a024 | vertex_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": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 28], "expectation_value": -0.4675682123895062, "params": [[-0.0388, -0.0658, -0.0687], [0.0219, 0.06620000000000001, 0.069]], "bitstrings": ["10110", "00011"], "total_optimization_steps": 10, "probabilities": [0.0403138301221794, 0.044837546200240476], "optimization_time": 3.2552270889282227} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
0,
-0.5
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
3bd6f29363a868a92edc437196fa5119 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [691, 690], "expectation_value": -68.65194736667414, "params": [0.004200000000000001, 0.5285000000000001, 0.8095, 0.006500000000000001, 0.0109, 0.6196, 0.8001, 0.01, 0.32930000000000004, 0.34, 0.7947000000000001, 0.1733, 0.7959, -0.0425, 0.5148, -0.39630000000000004, 0.375, 0.278, 0.7979, 0.18050000000000002... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + -3.0 * Z(2) + 1.5 * Z(1) + 17.0 * Z(3) + 14.5 * Z(5) + 0.5 * Z(4) + 4.5 * Z(... | 16 | 11 | 3 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["10101001101"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.03224811541555559) q[0];
rz(0.2849562646522079) q[0];
rx(1.0319113545348177) q[1];
rz(-0.19053047028307274) q[1];
cx q[1], q[0];
rz(0.04889950988942092) q[0];
cx q[1], q[0];
rx(-0.07085307453326078) q[0];
rz(0.9152945187110006) q[0];
rz(0.3208677905771808) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIZIIIIZIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-3,
1.5,
17,
14.5,
0.5,
4.5,
13.5,
2,
13,
4.5,
-11
] | 0.971815 | [
0.032248115415555584,
0.33385577454162885,
1.0319113545348177,
-0.19053047028307274,
0.06548715073067404,
0.5215707803424414,
0.7485338553997888,
-0.1378507549990304,
0.016782923338604473,
0.7059723593820753,
1.1569089793783096,
0.4481976544102897,
1.0069218978729366,
-0.003239021020362852... | {
"n_parameters": 88,
"n_qubits": 11,
"optimal_eigenvalue": -114.5,
"target_ratio": 0.97,
"target_value": -111.065
} | 15 |
bb8d6cb75ebb85af27b654dfabc43af9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [1245, 1181], "expectation_value": -2.431374310104258, "params": [[[2.1376, 0.0017000000000000001], [0.9969, 0.0053], [0.0027, 0.0014], [2.2118, 0.0051], [1.5292000000000001, 0.0053], [0.6771, 0.0017000000000000001], [2.2118, 0.0059], [2.2032000000000003, 0.0059], [2.2004, 0.0018000000000000002], [0.0023, 0.... | 0.5 * (Z(0) @ Z(1)) + 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(3) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(3) @ Z(4) @ Z(5... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.0625, "smallest_bitstrings": ["10100101010", "01101000110", "10100100011", "01100100011", "01101100010", "10101100010", "10101000110", "01100101010"], "large... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.5384351888852317) q[0];
rz(-0.9023374333414976) q[0];
rx(-0.24293091576690093) q[1];
rz(1.45355150517378) q[1];
rx(-0.11245599533944611) q[2];
rz(0.1573287784839315) q[2];
rx(3.1071168398230617) q[3];
rz(0.039843962148358336) q[3];
rx(0.15602739850631997) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZZIII",
"IIIIZIZZIII",
"IIIIZZIZIII",
"IIIIZZZIIII",
"IIIIZZZZIII",
"IIIIIIIZIIZ",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"IIIZIIIZIII",
"IIZIIIIZIII",
"IZIIIIIZI... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625... | 0.971101 | [
3.5384351888852317,
-0.9023374333414976,
-0.24293091576690093,
1.45355150517378,
-0.11245599533944611,
0.1573287784839315,
3.1071168398230617,
0.039843962148358336,
0.15602739850631997,
0.10221836358172126,
-0.6448521085914731,
3.021165280147562,
3.4612460170621433,
0.8137448009451637,
0... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -4.0625,
"target_ratio": 0.97,
"target_value": -3.940625
} | 22 |
1596635416752629453 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 7, 8, 9, 10, 11], [0, 6, 9, 10, 11], [0, 1, 2, 3, 4, 5, 6, 8, 9, 11], [0, 4, 5, 9, 10, 11], [1, 3, 4, 5, 6, 7, 8, 9, 10, 11], [2, 3, 4, 5, 6, 7, 8, 9, 11], [0, 1, 2, 3, 4, 5, 10, 11], [0, 1, 2, 5, 8, 10], [1, 2, 3, 4, 5, 8, 9, 10, 11], [2, 3,... | {"states": [3421, 3423], "expectation_value": -2.4701739397648073, "params": [[[2.5006, 0.0054, 0.006, 0.0095], [0.0026000000000000003, -0.1836, 1.5679, 0.0067], [1.2035, 0.0039000000000000003, 0.0033, 0.0021000000000000003], [0.5516, -0.0004, 1.1986, 0.009300000000000001], [1.0767, 0.0057, 0.0023, 0.0022], [-0.0032, -... | 0.1011904761904762 * (Z(0) @ Z(4)) + 0.1234126984126984 * (Z(5) @ Z(4)) + 0.07777777777777778 * (Z(5) @ Z(0)) + 0.09563492063492064 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(0)) + 0.11666666666666668 * (Z(6) @ Z(5)) + 0.11230158730158728 * (Z(9) @ Z(4)) + 0.03888888888888889 * (Z(9) @ Z(0)) + 0.09166666666666666 * (Z(9) @ Z(... | 12 | 12 | 1 | {"smallest_eigenvalues": [-2.8099206349206347], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7920634920634915, "smallest_bitstrings": ["001010100000"], "largest_eigenvalue": 16.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(2.9884076637420116) q[0];
rz(0.15971383917933096) q[0];
ry(-0.21889285293825042) q[1];
rz(-0.2682406750385558) q[1];
cz q[1], q[0];
ry(3.0634273916362833) q[1];
ry(0.2405343250866002) q[2];
rz(0.09547805646554999) q[2];
ry(1.279752252170117) q[3];
rz(-0.087290161763... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"IIIIIZIZIIII",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IZIIIIIZIIII",
"IZIIIIIIIIIZ",
"IZIIIIZIIIII",
"IZIIIZIIIIII",
"IZZIIIIIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIZII... | [
0.1011904761904762,
0.1234126984126984,
0.07777777777777778,
0.09563492063492064,
0.125,
0.11666666666666668,
0.11230158730158728,
0.03888888888888889,
0.09166666666666666,
0.06388888888888888,
0.11507936507936507,
0.12658730158730158,
0.11666666666666665,
0.0988095238095238,
0.067857142... | 0.974265 | [
2.9884076637420116,
0.15971383917933096,
-0.21889285293825042,
-0.2682406750385558,
0.2405343250866002,
0.09547805646554999,
1.279752252170117,
-0.08729016176324966,
0.7231125833491074,
0.6562204152596043,
-0.20730726332528887,
-0.3659096276635406,
0.03576541333908262,
-0.0798112880932451,... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -2.8099206349206347,
"target_ratio": 0.97,
"target_value": -2.7256230158730155
} | 17 |
-1568414197010374111 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 6, 7], [0, 1, 3, 6, 8, 9], [11, 4, 5], [8, 0, 2], [0, 9, 2], [0, 5, 7, 9, 10], [8, 10, 5, 7], [5, 6, 9, 11, 12], [4, 5, 6], [0, 3, 5, 6, 9, 11], [0, 3, 6, 8, 9, 10], [1, 5], [0, 10, 12, 6], [9, 2, 7], [1, 4, 8, 9, 11], [8, 1, 4, 7], [2, 11, 6], [3... | {"states": [4858, 4859], "expectation_value": -5.949006051620269, "params": [1.5685, 1.5705, 0.0024000000000000002, 0.0024000000000000002, 0.0024000000000000002, 0.0024000000000000002, 2.096, 1.0376, 1.9531, 2.9512, 1.5753000000000001, 1.5693000000000001, 1.5734000000000001, 1.5736, 1.3188, 1.8181, 1.7983, 1.3374000000... | 0.5166666666666666 * (Z(0) @ Z(6)) + 0.19999999999999998 * (Z(7) @ Z(6)) + 0.31666666666666665 * (Z(7) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(6)) + 0.08333333333333334 * (Z(1) @ Z(0)) + 0.13333333333333333 * (Z(1) @ Z(7)) + 0.3 * (Z(3) @ Z(6)) + 0.15000000000000002 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(3) @ Z(7... | 14 | 13 | 1 | {"smallest_eigenvalues": [-6.066666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.033333333333333, "smallest_bitstrings": ["0110100000100"], "largest_eigenvalue": 26.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.6222303479828049) q[0];
rz(pi/2) q[0];
ry(0.06996372503628587) q[1];
ry(0.06996372503628587) q[2];
ry(2.0135635176095446) q[3];
ry(2.0826434260054185) q[4];
ry(1.5331545830624291) q[5];
ry(1.6451077234522293) q[6];
ry(1.347063462194544) q[7];
ry(1.925713015474349)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZIIIIIZ",
"IIIIIZZIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIIZIIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIZIIIIIZI",
"IIIIIIZIIZIII",
"IIIIIIIIIZIIZ",
"IIIIIZIIIZIII",
"IIIIIIIIIZIZI",
"IIIIZIZIIIIII",
"IIIIZIIIIIIIZ",
"IIIIZZIIIIIII",
"IIIIZIIIIIIZI",
"IIIIZIIIIZIII",
"IIIZIIZIIIIII",
"IIIZIIIIIII... | [
0.5166666666666666,
0.19999999999999998,
0.31666666666666665,
0.03333333333333333,
0.08333333333333334,
0.13333333333333333,
0.3,
0.15000000000000002,
0.21666666666666667,
0.13333333333333336,
0.06666666666666667,
0.2333333333333333,
0.21666666666666667,
0.21666666666666667,
0.1166666666... | 0.974137 | [
1.6222303479828049,
0.06996372503628587,
2.0135635176095446,
2.0826434260054185,
1.5331545830624291,
1.6451077234522293,
1.347063462194544,
1.925713015474349,
1.6564277135476244,
0.04912332298000374,
1.9501089988604496,
0.9620216273815468,
-0.02089428070150616,
0.9361681131020786,
-0.069... | {
"n_parameters": 48,
"n_qubits": 13,
"optimal_eigenvalue": -6.066666666666668,
"target_ratio": 0.97,
"target_value": -5.884666666666668
} | 1 |
2977216891913013939 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 5], [0, 2], [1, 10], [11, 7], [2, 3], [2, 10], [8, 10], [11, 5], [8, 0], [8, 1], [5, 7], [9, 4], [9, 3], [3, 5], [11, 3], [2, 6], [10, 11], [9, 10], [5, 6]]} | {"states": [717, 589], "expectation_value": -3.3278793255670083, "params": [[[1.5271000000000001, 0.0012000000000000001], [-0.7034, 1.2359], [2.0086, 1.3747], [-0.0085, 1.1316000000000002], [-1.566, 1.5744], [0.6757000000000001, 1.576], [2.1071, 0.1144], [2.1079, -0.0952], [0.0765, 0.0284], [0.1008, 0.1826], [-0.3064, ... | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(10)) + 0.5 ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["110110110010", "001001001101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.570796349949493) q[0];
ry(-1.5707962717092814) q[1];
ry(3.141592748316027) q[2];
ry(-5.699368273135905e-08) q[3];
ry(-3.1415924060879514) q[4];
ry(7.290382070586503e-08) q[5];
ry(3.141592542994464) q[6];
ry(3.141592535879031) q[7];
ry(-9.797076860816696e-08) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZI",
"IIIIIIIIIZIZ",
"IZIIIIIIIIZI",
"IZIIIIIIIZII",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"IIIIZIZIIIII",
"ZIIIZIIIIIII",
"IIIIIIZIZIII",
"IIIIIIIIZZII",
"ZIIIIIIIZIII",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIZIIIIIZIII",
"IIZIIIIZIIII",
"IIIIIZZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.933333 | [
1.570796349949493,
-1.5707962717092814,
3.141592748316027,
-5.699368273135905e-8,
-3.1415924060879514,
7.290382070586503e-8,
3.141592542994464,
3.141592535879031,
-9.797076860816696e-8,
-9.090000190379573e-8,
-1.872860718935268,
1.570796248976208,
0.4709432655338508,
1.5707961317316521,
... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 500 |
ca80a1081391714ec98f68c48872633f | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [1, 21], "expectation_value": -4.855098008600605, "params": null, "bitstrings": ["1111110", "1101010"], "total_optimization_steps": 32, "probabilities": [0.20447398014986273, 0.6556482078186285], "optimization_time": 27.449513912200928} | -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 | 4 | {"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... | 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(1.5626) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"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 |
35ceaf2acc1635ca8c652a3a1fed479f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [511, 2047], "expectation_value": -14.81077658732332, "params": null, "bitstrings": ["11000000000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.09047799405670175, 0.4132298470750626], "optimization_time": 262.8068253993988} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(9)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(7)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000000", "11000000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.2239432202849596) q[0];
cx q[1], q[0];
rz(-0.7774086680583405) q[0];
rx(1.0074293696913486) q[0];
rz(-1.0210688536597514) q[1];
rx(1.0074293696913486) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.9121711073704493) q[2];
cx q[3], q[2];
h... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[9], 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[... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IZIIZIIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZ... | [
-1.5,
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-1.5,
-2,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.602955 | [
1.2239432202849596,
0.9121711073704493,
0.04875506721853579,
0.1909182822802535,
-1.0210688536597519,
-0.7774086680583404,
1.0074293696913483
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 208 |
e50f1de34172387f4afee29bd6bf3fd2 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 8}, {"capac... | {"states": [0, 1], "expectation_value": -17.683863519279218, "params": [-0.0057, -0.24500000000000002, 0.0014, -0.2336, 0.0012000000000000001, -0.2787, 0.0032, -0.2844, 0.0031000000000000003, -0.28350000000000003, 0.0046, -0.2916, 0.0053, -0.28300000000000003, -0.0012000000000000001, -0.2722, 0.0818, 0.0969, 0.303, -0.... | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(8) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(8)) + -1.5 * (Z(6) @ Z(3)) + 2.75 * (Z(9) @ ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-21.5, -21.5, -21.5, -21.5, -21.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111110110", "1111111110", "1110010110", "1111010110", "1111011110"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7269700262328697) q[0];
h q[1];
ry(-1.4539400524657393) q[1];
ry(-0.4305188858979242) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.4539400524657393) q[3];
h q[4];
ry(1.5707964173996953) q[4];
h q[5];
h q[6];
h q[7];
ry(-1.4539400524657393) q[7];
h q[8];
ry(-1.453940... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIIIIIIZZI",
"IZIIIIIIZI",
"IIIIIIZZII",
"IIZIIIZIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIZIIZIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIZIIIIIII",
"IIIIIIIIZI",
"IZIIIIIIII"... | [
-1.5,
-1.25,
-1,
-1,
-2.25,
-1,
-0.75,
-1.5,
-1.25,
-1.5,
-0.25,
-0.75,
-1.5,
2.75,
-0.75,
-2.75,
-0.25,
-2.25,
-2,
0.25,
-1.25,
4.25,
0.5,
1.5,
2
] | 0.949345 | [
1.5707964173996953,
-1.4539400524657393,
1.2574960017910324,
-0.3481317456857022,
-0.49569450145838334,
-9.083595959207332e-8,
0.31330036936235867,
-4.8391802394120934e-8,
-1.5707961503367,
4.270832774798353e-8,
-1.0386805650302741e-7,
-1.0195035332194153e-7,
0.6273252231375337,
-0.7441815... | {
"n_parameters": 21,
"n_qubits": 10,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 499 |
-1756150488099078676 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5], [0, 8, 6], [8, 5], [3, 5], [8, 1], [0, 1], [3, 6, 7], [0, 4, 7], [8, 2, 4], [1, 5, 7], [1, 3]]} | {"states": [307, 355], "expectation_value": -4.259133524449256, "params": null, "bitstrings": ["011001100", "010011100"], "total_optimization_steps": 53, "probabilities": [0.03360671157374983, 0.9454862518189379], "optimization_time": 100.18730640411377} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000001, "smallest_bitstrings": ["010011100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.514570450550115) q[0];
h q[1];
ry(-0.691463354346018) q[1];
cx q[0], q[1];
ry(0.691463354346018) q[1];
cx q[0], q[1];
ry(0.05968915564596869) q[0];
ry(-0.056031112689488634) q[1];
h q[2];
h q[3];
ry(1.5777707456165944) q[3];
h q[4];
ry(-0.3772929696035751) ... | 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(1.4449) 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] = m... | [
"IIIZIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIZIIZIII",
"IIIZIIIZI",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIIIIZIZI",
"IZIZIIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"IZIIIZIII",
"IZIIIIIZI",
"IIIIZIIIZ",
"ZIIIZIIII",
"IZIIZIIII",
"ZIIIIIZII",
"IIIIZIZII",
"... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.987609 | [
1.386764996927877,
1.494662017546108,
-1.4547799784846893,
1.514570450550115,
-1.382926708692036,
1.5777707456165944,
-1.1617456311010173,
0.12390850089075546,
-0.1683001305081902,
-0.7545859392071502,
-0.3102212977892336,
-0.4507245682834085,
0.5954525996478397,
-0.5036702079949291,
0.4... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333333,
"target_ratio": 0.97,
"target_value": -4.203333333333333
} | 1 |
-8622037952354320898 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[11, 4], [12, 4], [9, 11], [0, 2], [1, 12], [9, 2], [2, 6], [3, 4], [3, 11], [3, 12], [8, 2], [1, 6], [9, 6], [1, 3], [10, 6], [10, 12], [11, 7], [8, 4], [9, 1], [4, 5], [4, 6], [0, 7], [8, 12], [10, 7], [2, 7], [11, 12], [10, 4], [8, 6], [8, 1], [9, ... | {"states": [2809, 761], "expectation_value": -4.280507209659822, "params": [[[0.27640000000000003, 0.0086, 0.0078000000000000005, 0.006], [1.5914000000000001, 0.5222, 1.6006, 0.0005], [0.4879, 0.008400000000000001, 0.0055000000000000005, 0.0012000000000000001], [0.07980000000000001, 0.0039000000000000003, 1.53700000000... | 0.5 * (Z(11) @ Z(4)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(11)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * ... | 12 | 13 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["1110100000110", "0001011111001"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.23044286602431707) q[0];
rz(-0.5934106048045007) q[0];
ry(2.5660335327143518) q[1];
rz(-0.19383752375101082) q[1];
cz q[1], q[0];
ry(-2.5808190512349065) q[1];
ry(0.12392868721866834) q[2];
rz(0.030789106301699037) q[2];
ry(-1.1118282111045596) q[3];
rz(0.0969707... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IZIIIIIIZIIII",
"ZIIIIIIIZIIII",
"ZZIIIIIIIIIII",
"IIIZIIIIZIIII",
"IZIZIIIIIIIII",
"IIIZIIIIIIZII",
"IIIIIIIIIIZIZ",
"IIIIIIIIZIIZI",
"ZIIIIIIIIIIZI",
"IIIZIIIIIIIZI",
"IIIIIIZIZIIII",
"IIIZIIZIIIIII",
"IIIIIIZIIIZII",
"IIIIIIZIIIIIZ",
"IIIIIIZIIIIZI",
"IIIIIIIIZZIII",
"IZIIIIIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973011 | [
-0.23044286602431707,
-0.5934106048045007,
2.5660335327143518,
-0.19383752375101082,
0.12392868721866834,
0.030789106301699037,
-1.1118282111045596,
0.09697074043515791,
0.09772285013994454,
0.1766720152242492,
1.28876553198482,
-0.30256182368232065,
3.2745133357762617,
0.4027343251541199,... | {
"n_parameters": 35,
"n_qubits": 13,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 47 |
e8914684215a366a762541bf17b0884e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "ta... | {"states": [115, 113], "expectation_value": -6.29048572637745, "params": [0.0029000000000000002, 0.1943, -0.0017000000000000001, 0.1903, 0.30460000000000004, 0.0304, 0.307, 0.0049, 0.26890000000000003, 0.002, 0.26980000000000004, 0.0029000000000000002, 0.2978, 0.00030000000000000003, 0.3039, -0.0008, -0.000600000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["10110100", "10001110", "10101100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.01188988733982979) q[0];
rz(0.433877710967292) q[0];
rx(0.5597945972371612) q[1];
rz(-0.0775622382213074) q[1];
cx q[1], q[0];
rz(-0.14724017801980624) q[0];
cx q[1], q[0];
rz(1.568592101118048) q[0];
ry(0.1820338981967257) q[0];
rz(-1.4863083610418601) q[0];
rx(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2.5,
-1,
-1,
-1.5,
-2.5,
-0.5,
-0.5
] | 0.970661 | [
0.011889887339829788,
0.2866375329474861,
0.5597945972371612,
-0.0775622382213074,
0.36123563842024026,
0.05610841996289233,
0.43804792522844904,
-0.06627705738742073,
0.22051444984460705,
0.18748378016408812,
0.15637131355467876,
-0.07641336991098265,
-0.1550581260648286,
0.08184115838996... | {
"n_parameters": 142,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 13 |
8001768301817175407 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[4, 5, 6], [0, 2, 3, 5], [9, 5], [8, 2, 6, 7], [0, 6, 7], [8, 1, 5], [1, 7], [1, 4, 5]]} | {"states": [758, 694], "expectation_value": -2.149268349945153, "params": [1.1974, 0.08030000000000001, 1.201, 0.0044, 0.5155000000000001, -0.0847, 0.3745, 0.0063, 1.2008, -0.0432, 1.076, 0.0017000000000000001, 1.2006000000000001, -0.1685, 1.0373, 0.0053, 1.1999, 0.0685, 1.2011, 0.0089, 1.1983000000000001, 0.0769000000... | 0.3333333333333333 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.083333333333333... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.833333333333333, -2.833333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.750000000000001, "smallest_bitstrings": ["0000010100", "0101001001"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.7259515411073603) q[0];
rz(1.6980892786078883) q[0];
rx(0.15389058570692232) q[1];
rz(1.811454488881452) q[1];
rx(1.0236716983451288) q[2];
rz(1.6285034074631977) q[2];
rx(0.7199041362603784) q[3];
rz(1.1999040635352607) q[3];
rx(0.9837442136805402) q[4];
rz(1.816... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIIIIIZIZ",
"IIIIZIZIII",
"IIIIIIZIIZ",
"IIIIIIZZII",
"ZIIIZIIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IZIIIIIZII",
"IIZZIIIIII",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IZZIIIIIII",
"IIIIZIIIZI"... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.083333333... | 0.970517 | [
1.72595154110736,
0.1272929518129915,
0.15389058570692232,
0.24065816208655527,
1.0236716983451286,
0.057707080668301255,
0.7199041362603784,
-0.3708922632596363,
0.9837442136805401,
0.24522691935877633,
1.9859737573963983,
0.09240956528678478,
0.13417253242364713,
-0.1803594248885196,
1... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 81 |
e2d42d54466cad0e47a576fec07e2be9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [22, 86], "expectation_value": -2.8959272628503197, "params": [0.5995, 0.0016, -0.0038, 0.3658, 0.6072000000000001, 0.1584, -0.0177, 0.3386, 0.6024, 0.1715, 0.6066, 0.008, 0.1602, 0.35660000000000003, 0.5998, 0.0004, -0.0057, 0.3871, 0.6079, 0.1888, -0.0183, 0.3622, 0.5988, 0.19190000000000002, 0.6038, 0.022... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.5 * Z(3) + 0.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 8.5} | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIIIZZI",
"IIZZIII",
"IZIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
0,
-0.5,
-0.5,
-0.5
] | 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 |
-4450188244082697685 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [1, 2, 5, 7], [3, 5, 7], [8, 3, 6, 7], [0, 2, 4, 5], [0, 2, 3, 7], [0, 1, 4], [0, 1, 8, 7], [8, 3, 4, 7], [8, 3, 5], [0, 8, 4, 5], [8, 2, 3], [1, 2, 6, 7], [8, 0, 3], [5, 6], [0, 1, 2, 5], [8, 1, 5]]} | {"states": [335, 347], "expectation_value": -4.3217534414564245, "params": null, "bitstrings": ["010110000", "010100100"], "total_optimization_steps": 62, "probabilities": [0.11683057408323111, 0.7952432058130384], "optimization_time": 174.63800573349} | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666669, "smallest_bitstrings": ["010100100"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.2702649932974477) q[0];
rz(1.686865534049029) q[0];
rx(0.1783265881556259) q[1];
rz(0.8872030548061209) q[1];
rx(1.8917203056219338) q[2];
rz(1.6142418595801011) q[2];
rx(0.53914124402189) q[3];
rz(1.2842985898894375) q[3];
rx(2.0920355827902415) q[4];
rz(1.6191419... | 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(1.5703) 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... | [
"IIZIZIIII",
"IIZIIIIZI",
"IIIIZIIZI",
"IIZIIIZII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIIZZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZZIIIIII",
"IZIIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IIZIIZIII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.16666666666666666,
0.3333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.4... | 0.971124 | [
1.2702649932974477,
0.11606920725413236,
0.17832658815562594,
-0.6835932719887756,
1.8917203056219338,
0.04344553278520415,
0.5391412440218901,
-0.28649773690545943,
2.0920355827902415,
0.04834564352035101,
2.306824241565059,
-0.030551043290253314,
1.0808924885048008,
0.07054326902913444,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -4.583333333333334,
"target_ratio": 0.97,
"target_value": -4.445833333333334
} | 99 |
8ffda6628c0a17abdc2816e868c093a7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [618, 626], "expectation_value": -79.47121869792461, "params": [0.7707, 0.7827000000000001, -0.0007, -0.0039000000000000003, 0.0106, 0.0454, 0.8161, 0.771, 0.8321000000000001, 0.7558, -0.9189, -0.3874, 0.2738, 1.0615, 0.0, 0.0122, 0.7843, 0.7949, 0.0436, 0.065, 0.7875000000000001, 0.8098000000000001, 0.001, ... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(9) @ Z(8)) + -1.5 * Z(0) + -4.5 * Z(1) + 9.5 * Z(3) + -6.5 * Z(2) + 5.5 * Z(5) + 17.0 * Z(4) + 10.0 * Z(6) + 8.0 * Z(8) + -2.0 * Z(9) + -12.0 * Z(7) | 14 | 10 | 2 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["0110001101"], "largest_eigenvalue": 115.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.6858266799035662) q[0];
rz(pi/2) q[0];
ry(-0.05540424879562747) q[1];
ry(-0.24235546171282646) q[2];
ry(0.6772490289984503) q[3];
ry(0.6281557280621278) q[4];
ry(-1.239320887079094) q[5];
ry(0.07704764934207682) q[6];
ry(0.009260394796775033) q[7];
ry(0.8740508067... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
-1.5,
-4.5,
9.5,
-6.5,
5.5,
17,
10,
8,
-2,
-12
] | 0.972517 | [
0.6858266799035662,
-0.05540424879562747,
-0.24235546171282646,
0.6772490289984503,
0.6281557280621278,
-1.239320887079094,
0.07704764934207682,
0.009260394796775033,
0.874050806793678,
-0.1054764055245745,
0.6448988885246417,
0.28291299046751583,
1.093744639499497,
0.23062629327379586,
... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -81.5,
"target_ratio": 0.97,
"target_value": -79.05499999999999
} | 10 |
fb3661142d8e003905bb73659b60c8ab | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [1386, 1387], "expectation_value": -3.0953244477281, "params": [[[0.16140000000000002, -0.0611, 0.0023, 0.0073], [0.021500000000000002, 0.0441, 1.5645, 0.0002], [0.4985, -0.5681, 1.3349, -0.2144], [-0.0094, -0.313, 0.896, 0.055], [0.09190000000000001, -0.0024000000000000002, -0.09620000000000001, -0.2003], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(4) @ Z(2) @ Z(7)) + ... | 11 | 11 | 2 | {"smallest_eigenvalues": [-3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.65625, "smallest_bitstrings": ["10100010100", "10100010001", "01100010001", "01011000001", "01011000100", "01100100100... | 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(0.25592938562548495) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.25592938562548495) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.25592938562548495) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(0.2559293... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIZZZIIII",
"IIIIIIZIZII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IIIZIIZIZII",
"IIZIIIZIZII",
"IIZZIIIIZII",
"IIZZIIZIIII",
"IIZZIIZIZII",
"IIIIIIIZIIZ",
"IIIIIZIII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-... | 0.924739 | [
0.25592938562548495,
-1.5262981736065109,
0.803276814258165,
-0.9817149154994218,
-1.20387662858185,
1.0070577492345878,
-0.24407988242893283,
0.37746613333560075,
1.1791296031035432,
0.026527124002056205,
-0.045266137886553835,
-2.4191350823878968,
-1.8592558869391052,
-0.305400682481034,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 500 |
533fcd480a5175680493f52fe07173d6 | 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": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [165, 37], "expectation_value": -13.999998064799607, "params": null, "bitstrings": ["01011010", "11011010"], "total_optimization_steps": 41, "probabilities": [2.0242065125026606e-07, 0.9999997139448797], "optimization_time": 44.75901436805725} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.24633714219781486) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.21817790403825055) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.21817790403825055) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.25,
-1.5,
-0.75,
-0.75,
-0.75,
-1.25,
2.25,
-0.25,
-1,
-2.25,
-0.25,
0.5,
-1.5,
-1,
3,
0.5,
1
] | 0.970078 | [
0.24633714219781486,
0.21817790403825055,
0.199992130079758,
0.1953546771601644,
-0.14097260777717124,
-0.07642561716032488,
0.30474345781691703,
0.6989900081918277,
0.16619846372059824,
-0.778933966788156,
-0.9833885279660904,
1.522204508836878,
0.4784825986818201,
0.33645844578145834,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 312 |
d2afe27b0de0de0693309013bd4cb7f6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [15, 13], "expectation_value": -2.0017423329220776, "params": [[[0.1486, 0.009600000000000001], [0.14500000000000002, 0.0071], [1.2622, 0.0073], [1.5876000000000001, 0.0021000000000000003], [1.5979, 0.0081], [1.5698, 0.0067], [1.6035000000000001, 0.0017000000000000001]]], "bitstrings": ["1110000", "1110010"]... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -0.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 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": ["0010111", "1110010", "1101100", "1100110", "1111000", "1010011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.6603319576342586) q[0];
rz(-pi) q[1];
ry(-3.09132270976154) q[1];
h q[2];
ry(-1.59277342892783) q[2];
h q[3];
ry(10.929252278696099) q[3];
h q[4];
rz(-pi) q[5];
ry(-3.0980243226886683) q[5];
rz(-pi) q[6];
ry(-1.4685334302306399) q[6];
cx q[3], q[6];
ry(-0.2... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIIZI",
"IZIIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.970121 | [
10.929252278696099,
-0.5854890024487437,
-15.870510362502078,
-2.371832064547635,
3.190282941504731,
0.5296199822347359,
-3.151836567617419,
33.118537899059916,
-1.59277342892783,
1.6603319576342586,
10.629557319388375,
3.048407594216927,
-37.408128681922456,
-0.017677031990097333,
-0.14... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -60.5,
"target_ratio": 0.97,
"target_value": -58.684999999999995
} | 63 |
ca80a1081391714ec98f68c48872633f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 1], "expectation_value": -1.5116754994098947, "params": [[-0.0626, -0.0509, -0.0709, -0.053500000000000006], [0.0786, 0.06280000000000001, 0.0741, 0.0692]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.022602825356039323, 0.02380033531001647], "optimization_t... | -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 | 4 | {"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 |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [42, 44], "expectation_value": -3.9998997805961802, "params": null, "bitstrings": ["010101", "010011"], "total_optimization_steps": 28, "probabilities": [1.7124002311537545e-05, 0.9999499582800139], "optimization_time": 27.047114372253418} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-1,
-0.5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
a4f7d93f5ed996b37075df46e118b7f5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 18, "source": 1, "target": 2}, {"weight": 9, "source... | {"states": [250, 218], "expectation_value": -69.95660543821215, "params": [0.0188, 0.1708, 0.0429, 0.18760000000000002, 0.338, 0.0821, 0.342, 0.0494, 0.36250000000000004, 0.0828, 0.3457, 0.06670000000000001, 0.3945, 0.006200000000000001, 0.39380000000000004, -0.0632, 0.3426, 0.0675, 0.3332, 0.048100000000000004, 0.3337... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + 12.0 * Z(1) + 2.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(3) + 13... | 6 | 9 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 144.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.4149440035319221) q[0];
rz(1.9360392982839247) q[0];
rx(0.23166844733440892) q[1];
rz(2.055854574522182) q[1];
rx(0.1654730309748247) q[2];
rz(1.6705268726724096) q[2];
rx(-0.031912144597394554) q[3];
rz(1.975290555553494) q[3];
rx(0.36284273848677145) q[4];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
12,
2,
14,
9.5,
13,
8.5,
4,
11.5,
9.5
] | 0.970764 | [
0.4149440035319221,
0.36524297148902846,
0.23166844733440894,
0.485058247727285,
0.1654730309748247,
0.09973054587751265,
-0.031912144597394554,
0.40449422875859786,
0.36284273848677134,
0.03538158899637997,
0.3983433541610907,
0.054302037685407825,
-0.095760022742371,
0.2636304022781348,
... | {
"n_parameters": 177,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 360 |
df62b430c122c4297c9377287854fb07 | 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": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -2.143931976438027, "params": null, "bitstrings": ["10010", "10000"], "total_optimization_steps": 18, "probabilities": [0.4479563463367854, 0.4479989981580356], "optimization_time": 9.367253303527832} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | 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];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
9e8a866d2c0011b6946d4c64e758f31c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [2712, 2713], "expectation_value": -1.2587151978479079, "params": [0.2904, 0.0089, 0.2869, 0.0029000000000000002, 0.14120000000000002, -0.0324, 0.139, -0.04, 0.2899, 0.0086, 0.29550000000000004, 0.0041, 0.10350000000000001, 0.0385, 0.1096, 0.042, 0.2959, -0.0047, 0.2884, -0.0053, 0.0988, 0.0737, 0.1039, 0.07... | 0.25 * (Z(0) @ Z(1)) + -0.000390625 * (Z(2) @ Z(0)) + -0.000390625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000390625 * (Z(6) @ Z(2)) + 0.... | 6 | 12 | 4 | {"smallest_eigenvalues": [-1.5109375000000003, -1.5109375000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5105468749999997, "smallest_bitstrings": ["010101100110", "101010011001"], "largest_eigenvalue": 1.51328125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.000390625,
-0.000390625,
0.25,
-0.0009765625,
-0.00078125,
-0.0009765625,
-0.00078125,
0.25,
0.00087890625,
-0.000390625,
0.0005859375000000001,
0.00087890625,
-0.000390625,
0.0005859375000000001,
0.25,
-0.0006835937500000001,
-0.000390625,
0.0005859375000000001,
-0.00... | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
-4763176923323410830 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [0, 2], [1, 3], [3, 4], [2, 5], [8, 6]]} | {"states": [302, 414], "expectation_value": -2.587239903488695, "params": null, "bitstrings": ["011010001", "001100001"], "total_optimization_steps": 69, "probabilities": [0.046794676756780784, 0.5909791961485125], "optimization_time": 92.6468780040741} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["001100110", "110011001", "001100001", "011010001", "100101001", "110011110", "011010110", "100101110"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
ry(-0.457610479364498) q[2];
h q[3];
ry(-0.457610479364498) q[3];
h q[4];
cx q[4], q[3];
ry(0.457610479364498) q[3];
cx q[4], q[3];
ry(-0.30340001483935014) q[3];
cx q[1], q[3];
ry(0.30340001483935014) q[3];
cx q[1], q[3];
ry(0.6069841358734951) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], 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];\n... | [
"ZZIIIIIII",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIZII",
"ZIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973371 | [
-0.915220958728996,
1.4535951171467971,
-0.6068000296787003,
1.2139682717469902,
-0.7649007749470158,
0.061925904381039204,
0.2977587138545427,
0.0006790351436044353,
-0.29330469142446974,
-0.946954599102448,
-0.4044581298561741,
-0.2638357364925938,
0.09377524736337398,
-0.114048968908392... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 37 |
5685d04b4306b22ae56a2bbc733b9334 | 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": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 74], "expectation_value": -4.496446952351245, "params": null, "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 28, "probabilities": [0.0670129819919766, 0.9297039673563083], "optimization_time": 28.545599222183228} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101", "0110110", "0110101", "0101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.49282358549026595) q[1];
cx q[0], q[1];
ry(0.49282358549026595) q[1];
cx q[0], q[1];
ry(1.1446259845620295) q[0];
ry(-0.6888141989310146) q[1];
ry(-0.19217653237367516) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4112833892421122) q[3];
cx q[3], q[0];
ry(-0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-0.5,
-1
] | 0.996069 | [
-1.512573322416855,
-1.2799726973009975,
1.4112833892421122,
1.4283200724327585,
-0.9856471709805319,
0.8613116077479857,
-0.19729419424044806,
-0.5757332536939542,
0.5666287536280875,
-0.22616189047412066,
0.13268498545644442,
-0.19868435239417664,
-0.1201447435527441,
0.2739459079713497,... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
600d50af407f0acc5a9b9d46f1136ef3 | 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}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"sourc... | {"states": [26622, 26623], "expectation_value": -21.40851055537424, "params": [0.0021000000000000003, -0.4138, 2.7346, 0.006900000000000001, 0.0024000000000000002, 0.0091, 0.0018000000000000002, 0.8270000000000001, 0.0018000000000000002, -0.3008, 0.0033, 0.24760000000000001, -1.4456, 0.0015, 0.0032, 0.2639, -0.0005, -0... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * (Z(10) @ Z(11)) + -1.5 * (Z(12) @ Z(13)) + 0.5 * (Z(14) @ Z(13)) + -1.5 * (Z(14) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3)... | 4 | 15 | 1 | {"smallest_eigenvalues": [-23.49999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.499999999999947, "smallest_bitstrings": ["001100000000000"], "largest_eigenvalue": 11.499999999999963} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(0.26721684982821614) q[0];
rz(1.3191487826250388) q[0];
rx(3.0530070920997994) q[1];
rz(1.3836415855543374) q[1];
rx(0.025451506410185645) q[2];
rz(1.5364696104207969) q[2];
rx(0.036533528933448876) q[3];
rz(2.176146821233874) q[3];
rx(0.03653352893344888) 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[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIIZIZIIII",
"IIIIIIZZIIIIIII",
"IIIIIZZIIIIIIII",
"IIIIIZIZIIIIIII",
"IIIZZIIIIIIIIII",
"IZZIIIIIIIIIIII",
"ZZIIIIIIIIIIIII",
"ZIZIIIIIIIIIIII",
"IIIIIIIIIIIIIZI",
"IIIIIIIIIIIIIIZ",
"IIIIIIIIIIIZIII",
"... | [
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972471 | [
0.2672168498282161,
-0.25164754416985835,
3.0530070920997994,
-0.18715474124055942,
0.02545150641018564,
-0.034326716374099536,
0.03653352893344889,
0.6053504944389776,
-0.23887362686952648,
0.12849502586701592,
0.1426640749922894,
-1.8380649545086314,
0.06923135762536718,
0.10055547290325... | {
"n_parameters": 40,
"n_qubits": 15,
"optimal_eigenvalue": -23.49999999999996,
"target_ratio": 0.97,
"target_value": -22.794999999999963
} | 12 |
b10e647670f759bc4f3dd1387515cbab | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -0.11229452045178266, "params": [[0.055400000000000005, -0.0625], [-0.0634, 0.046]], "bitstrings": ["101001", "001101"], "total_optimization_steps": 10, "probabilities": [0.016848801625524885, 0.016848801625524892], "optimization_time": 2.3019940853118896} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.6059590783964175) q[1];
h q[2];
ry(-1.5435690642332873) q[2];
h q[3];
ry(-0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.9119014324033945) q[0];
ry(-0.6753977872976624) q[3];
h q[4];
ry(1.6059590783964175) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
0,
-0.5
] | 0.993521 | [
-1.5435690642332873,
-1.3972417071881398,
1.6059590783964175,
-1.0665142725491366,
0.6111672878365482,
-0.1119226496394643,
-0.49139838766546845,
0.6014682891336927,
-0.3679987992643881,
0.33092884969918057,
-0.19658386032209535,
0.11017040147676396,
0.21045782912511068,
-0.041443516117334... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
d30c0386d8d3b385abfc19e03f7b5ca3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [310, 374], "expectation_value": -2.93854142335928, "params": [1.5685, 0.3116, -0.0018000000000000002, 1.2231, 0.7853, 0.0054, 1.568, 0.0068000000000000005, 2.1304000000000003, -0.6643, 0.1291, -1.3579, 2.1776, -0.0006000000000000001, 1.53, -0.3269, 0.0023, -1.2632, 1.5694000000000001, 0.0089, -0.00260000000... | 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)) + 0.0625 * (... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.4375, "smallest_bitstrings": ["010001001", "001010001"], "largest_eigenvalue": 5.5625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02172569596093698) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.02172569596093698) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02172569596093698) q[2];
cx q[0], q[2];
rz(1.736499027868886) q[2];
rx(-1.6454317969910583) q[2];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.988948 | [
-0.02172569596093698,
-1.632171019885014,
-1.5273591642926907,
1.736499027868886,
-1.63086528192634,
-1.6454317969910583
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 32 |
fdd193cb015e57ef85d2ae5c4eb54ede | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [34, 12], "expectation_value": -3.5213734070969434, "params": [[-0.1469, -0.12510000000000002, 0.043300000000000005], [0.16440000000000002, 0.15280000000000002, 0.08320000000000001]], "bitstrings": ["1011101", "1110011"], "total_optimization_steps": 20, "probabilities": [0.0315403249517261, 0.032514551036489... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101111", "1011101", "1111010", "1001111", "1101011", "0111101", "1110011", "0111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07570942245496524) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.07570942245496524) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.07570942245496524) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.07570942245496524) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIZIII",
"IIIZZII",
"ZIIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1,
-1.5,
-1,
-1.5
] | 0.970736 | [
0.07570942245496524,
-1.1207471745353512,
-0.2307855789221866,
-1.2240404964433413,
-1.2523499073318871,
0.6384391318483287,
-0.8265045417678176,
-0.6678735821875842,
-2.1284699588688407,
-0.30330827614393213,
0.5683998775361413,
-2.4878442729812242,
-1.3799902050266712,
-1.836426382423593... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 122 |
74f246475a204c7e4685beb9efae91eb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": ... | {"states": [0, 256], "expectation_value": -34.94869728368255, "params": [0.0002, 0.14830000000000002, 0.0021000000000000003, 0.1413, 0.0073, 0.114, 0.0016, 0.1542, 0.0051, 0.08510000000000001, 0.0044, 0.09630000000000001, 0.20720000000000002, 0.004, 0.2003, 0.0017000000000000001, 0.0043, 0.16110000000000002, 0.001, 0.1... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -0.75 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(0)) + -1.25 * (Z(10) @ Z(7)) + -1.0 * (Z(1... | 7 | 12 | 4 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 35.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.10519474634595792) q[0];
rz(pi/2) q[0];
ry(0.08500892674795721) q[1];
ry(0.08419737341434758) q[2];
ry(0.4790133066572516) q[3];
ry(-0.10636630297089594) q[4];
ry(-0.12768147542610025) q[5];
ry(0.10590310379135753) q[6];
ry(-0.24740953670909152) q[7];
ry(0.025534... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIZIIIIIIIIZ",
"IIZIIIIZIIII",
"IIZIIZIIIIII",
"IIZIZIIIIIII",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIZIII... | [
-0.5,
-1.25,
-1,
-0.75,
-1,
-1.25,
-0.25,
-1.25,
-1,
-0.5,
-0.75,
-0.5,
-1.25,
-1,
-1,
-0.5,
-0.75,
-1.25,
-0.5,
-1,
-0.75,
-1.5,
-0.75,
-1,
-2.25,
-0.25,
-1.75,
-0.75,
-0.5,
-1.25,
-1.25,
-0.25,
-1.75,
5.25,
-0.25,
-1.25,
-0.5,
-2.75,
-0.2... | 0.971789 | [
-0.10519474634595792,
0.08500892674795721,
0.08419737341434758,
0.4790133066572516,
-0.10636630297089594,
-0.12768147542610025,
0.10590310379135753,
-0.24740953670909152,
0.025534999578924272,
-0.08802210418400708,
-0.0642680728704555,
-0.12948777633302402,
0.1366052474183505,
-0.276616491... | {
"n_parameters": 124,
"n_qubits": 12,
"optimal_eigenvalue": -41,
"target_ratio": 0.97,
"target_value": -39.769999999999996
} | 5 |
d7d01055332214989e6d0d1158e981dc | 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": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [127, 63], "expectation_value": -12.050555987480344, "params": [[[-0.0034000000000000002, 0.015000000000000001], [0.0017000000000000001, 0.0026000000000000003], [0.0026000000000000003, -0.0025], [-0.0004, -0.0029000000000000002], [0.0023, -0.0029000000000000002], [-0.004, -0.0049], [1.6645, -0.00620000000000... | -0.25 * (Z(0) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 3.25 * Z(3... | 15 | 7 | 2 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.056065987942702615) q[0];
ry(0.04731444554150925) q[1];
ry(0.13965633326414878) q[2];
ry(-0.09162924285059836) q[3];
ry(0.0747152677173499) q[4];
ry(1.6747361148983202) q[5];
ry(0.1222992208446019) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIZIZII",
"IZIZIII",
"ZZIIIII",
"IZIIZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-1.75,
-1.5,
-1,
2,
-1.5,
-0.75,
-0.5,
-1.5,
-1.75,
-1.75,
-1.5,
-0.25,
-0.25,
3.25,
-2.25,
1.5,
1,
-3
] | 0.971776 | [
0.056065987942702615,
0.04731444554150925,
0.13965633326414878,
-0.09162924285059836,
0.0747152677173499,
1.6747361148983202,
0.1222992208446019,
-0.027802478358916687,
-0.010982101536667798,
0.010716214130102548,
-0.003013292790767912,
-0.15205972769084672,
-0.06415202441498268,
0.0172702... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 39 |
2999324906365478819 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 3, 4], [0, 4, 5], [9, 3], [1, 3, 5, 6], [2, 3, 5, 6, 8], [3, 4, 5, 7], [0, 9, 1, 7], [1, 2, 6, 7], [8, 9, 5, 7], [0, 3, 4], [8, 0], [2, 3, 7], [1, 4, 5], [8, 1, 9], [4, 5, 6, 7, 9], [8, 1, 6], [0, 1, 2, 3, 6]]} | {"states": [941, 366], "expectation_value": -1.867686147462386, "params": [[0.26880000000000004], [-0.25270000000000004]], "bitstrings": ["0001010010", "1010010001"], "total_optimization_steps": 30, "probabilities": [0.003445553642094988, 0.003547132187536348], "optimization_time": 4.146723747253418} | 0.13333333333333333 * (Z(8) @ Z(2)) + 0.35 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.05 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(8)) + 0.21666666666666667 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.266666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.1499999999999995, "smallest_bitstrings": ["1010010001"], "largest_eigenvalue": 16.000000000000007} | 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];
cx q[2], q[8];
rz(0.008463671704425208) q[8];
cx q[2], q[8];
cx q[2], q[3];
rz(-0.013369033083120551) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(-0.005906208858802671) q[4];
cx q[2], q[4];
cx q[2], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZII",
"IIIIIIZZII",
"IZIIIIZIII",
"IIIIIZIZII",
"IZIIIZIIII",
"IIIIIZZIII",
"IIIIIIIZIZ",
"IZIIIIIIIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIZII",
"IZIIZIIIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZIIIIZ",
"ZZIIIIIIII",
"ZIIIIIZIII",
"ZIIIIZIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII"... | [
0.13333333333333333,
0.35,
0.13333333333333333,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.05,
0.5,
0.21666666666666667,
0.3333333333333333,
0.05,
0.13333333333333333,
0.21666666666666667,
0.4666666666666666,
0.16666666666666666,
0.25,
0.5,
0.05,
0.0833333333... | 0.970025 | [
0.008463671704425208,
-0.013369033083120551,
-0.005906208858802671,
0.00986720286914513,
0.017104373926187244,
-0.015393482110741541,
0.009936816388376044,
0.020438994774976845,
0.0042780187034286935,
-0.014462095533937985,
-0.0305302167623048,
0.08358867185336184,
-1.4838282023097942,
1.6... | {
"n_parameters": 22,
"n_qubits": 10,
"optimal_eigenvalue": -4.266666666666665,
"target_ratio": 0.97,
"target_value": -4.138666666666665
} | 268 |
bbe36c72142a04c8b1698fed3f77c25c | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [18, 17], "expectation_value": -2.5335153352679063, "params": [[-0.0466, -0.055600000000000004], [0.053200000000000004, 0.0663]], "bitstrings": ["01101", "01110"], "total_optimization_steps": 10, "probabilities": [0.04514414036056597, 0.045144140360566], "optimization_time": 2.335848331451416} | 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)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0... | {"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,
1.75,
2,
1.75,
2,
-3,
-2.5,
-3,
-2.5,
-2.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
fa1aa02644db6485d126884facd8fbe5 | 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": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [8, 24], "expectation_value": -3.047855060396702, "params": [[[0.0017000000000000001, 0.003], [0.40190000000000003, -0.0013000000000000002], [0.4077, 0.0026000000000000003], [0.0028, 0.0022], [0.0001, -0.0013000000000000002], [0.0035, 0.006900000000000001]], [[0.0015, 0.0043], [0.40340000000000004, 0.0031000... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2) @ Z(3)) + -0.75 * Z(0) + 0.0 * Z(2) + -0.25 * Z(1) + -0.75 * Z(3) + -1.0 * Z(4) + -0.75 * Z(5) | 15 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0074207548089881) q[0];
cx q[2], q[0];
rz(-1.62559946447614) q[2];
rx(1.5247430591609956) q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.0074207548089881) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(-0.0074207548089881) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IZIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.75,
0,
-0.25,
-0.75,
-1,
-0.75
] | 0.972476 | [
-0.0074207548089881,
-1.62559946447614,
1.6942216147964604,
1.1633760167161522,
1.5247430591609958,
0.061183352847591965,
0.7500638384568105,
0.2284438797758424,
0.09388118757753881
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 24 |
fb354d60453679d679afcbc2ef259e36 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 5... | {"states": [246, 118], "expectation_value": -10.77541156376107, "params": [[0.046400000000000004], [-0.0714]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007449523816874054, 0.008400737780431662], "optimization_time": 2.6486988067626953} | 3.5 * (Z(0) @ 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(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 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(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | 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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16,
7,
16.5,
20.5,
13,
10.5,
13.5,
1
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
93fcf3f0332217472ced3e3ddb601b23 | 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": [189, 173], "expectation_value": -87.31039549397639, "params": [0.1278, 0.12090000000000001, 0.4959, 0.49350000000000005, 0.0659, 0.0524, 0.4892, 0.4929, 0.24300000000000002, 0.2146, 0.49410000000000004, 0.48760000000000003, 0.4859, 0.4808, 0.1849, 0.1746, 0.4922, 0.49360000000000004, 0.1013, 0.1, 0.4944, 0.... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(8)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 13.5 * Z(1) + 2.0 * Z(0) + -3.5 * ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-105.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.0, "smallest_bitstrings": ["101010010"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.17946149551458063) q[0];
rz(pi/2) q[0];
ry(0.6464458316583722) q[1];
ry(0.07054850637310536) q[2];
ry(0.642042607198622) q[3];
ry(-0.10613099124278497) q[4];
ry(0.41052859481214926) q[5];
ry(0.436249778204107) q[6];
ry(-0.05824157053780058) q[7];
ry(0.6399436172523... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIZI",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIZIIIIZ",
"ZIIZIIIII",
"IZIZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
13.5,
2,
-3.5,
8.5,
3.5,
22,
7.5,
22,
27.5
] | 0.978617 | [
0.17946149551458063,
0.6464458316583722,
0.07054850637310536,
0.642042607198622,
-0.10613099124278497,
0.41052859481214926,
0.436249778204107,
-0.05824157053780058,
0.6399436172523855,
0.1887608082357134,
-0.4389509097982333,
-0.11206755771753263,
0.2606756172448976,
0.6677170167565476,
... | {
"n_parameters": 104,
"n_qubits": 9,
"optimal_eigenvalue": -105,
"target_ratio": 0.97,
"target_value": -101.85
} | 10 |
1105476663965657734 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 6], [0, 1, 6, 7, 8], [1, 2, 3, 4, 5, 6], [0, 1, 3, 4, 5, 6, 8], [0, 1, 2, 4, 5, 6, 7], [1, 2, 3, 4, 7], [0, 1, 2, 4, 7, 8], [2, 3, 5, 6, 7]]} | {"states": [379, 159], "expectation_value": -0.9956203259157981, "params": [[-0.3859], [0.3755]], "bitstrings": ["010000100", "101100000"], "total_optimization_steps": 40, "probabilities": [0.005073268459960008, 0.005099796734230073], "optimization_time": 2.51777982711792} | 0.19999999999999998 * (Z(8) @ Z(2)) + 0.2738095238095238 * (Z(6) @ Z(2)) + 0.24047619047619048 * (Z(6) @ Z(8)) + 0.05714285714285714 * (Z(0) @ Z(2)) + 0.10714285714285715 * (Z(0) @ Z(8)) + 0.09761904761904762 * (Z(0) @ Z(6)) + 0.14047619047619048 * (Z(1) @ Z(2)) + 0.10714285714285715 * (Z(1) @ Z(8)) + 0.130952380952380... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7142857142857133], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6809523809523814, "smallest_bitstrings": ["101100000"], "largest_eigenvalue": 7.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(0.006536485944955248) q[8];
cx q[2], q[8];
cx q[2], q[6];
rz(0.0987629632395649) q[6];
cx q[2], q[6];
cx q[2], q[0];
rz(-0.07866297524892327) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"ZIIIIIIZI",
"IIZIIIIZI",
"IIIIIIIZZ",
"IZIIIIZII",
"ZZIIIIIII",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IIIIIZZII",
"ZIIIIZIII",
"IIZIIZIII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IZIIIZIII",
"... | [
0.19999999999999998,
0.2738095238095238,
0.24047619047619048,
0.05714285714285714,
0.10714285714285715,
0.09761904761904762,
0.14047619047619048,
0.10714285714285715,
0.13095238095238096,
0.13095238095238096,
0.15714285714285714,
0.08333333333333334,
0.12380952380952381,
0.1071428571428571... | 0.970507 | [
0.006536485944955248,
0.0987629632395649,
-3.0934005250755785,
-0.07866297524892327,
0.0055013654618293155,
0.11114842194096734,
0.0053561908093418716,
0.03217378694387541,
0.011609062325123699,
0.021448665703840852,
-0.08588099024746186,
-0.01246673612993689,
0.01696333148990426,
-0.07238... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -1.7142857142857133,
"target_ratio": 0.97,
"target_value": -1.662857142857142
} | 128 |
e0dccd63ccb6f94570f2b46361c692e0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [33, 161], "expectation_value": -4.559671062805984, "params": [0.0047, 0.4732, 0.006, 0.5405, -0.22790000000000002, 0.1835, -0.232, 0.3032, 0.012, 0.6765, -0.0014, 0.4807, 0.10360000000000001, -0.0468, 0.1287, -0.2866, -0.0164, 0.387, -0.07590000000000001, 0.5346000000000001, -0.0049, 0.16720000000000002, -0... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.75 * Z(... | 6 | 9 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["101001010", "101011110", "101011100", "101011010", "101011000", "101001110", "101001100", "101001000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.05839614278337155) q[0];
rz(pi/2) q[0];
ry(0.007699594208596339) q[1];
ry(0.6368929387613436) q[2];
ry(-0.305948830476148) q[3];
ry(0.8279255936715874) q[4];
ry(0.6687371386581469) q[5];
ry(0.6083275044008217) q[6];
ry(-0.030249047403171775) q[7];
ry(0.73392389059... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IIIIZZIII",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
-0.5,
0,
-0.25,
0.75,
0.75,
-1,
0,
-0.25,
-0.25,
0.25
] | 0.970135 | [
0.05839614278337155,
0.007699594208596339,
0.6368929387613436,
-0.305948830476148,
0.8279255936715874,
0.6687371386581469,
0.6083275044008217,
-0.030249047403171775,
0.7339238905999639,
0.40545979371793645,
0.47414350168779645,
1.0184967181303088,
-0.11619730788514432,
0.1838879214229425,
... | {
"n_parameters": 168,
"n_qubits": 15,
"optimal_eigenvalue": -15.749999999999945,
"target_ratio": 0.97,
"target_value": -15.277499999999947
} | 37 |
af1426b93324259832bd09f6b200fbec | 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": 3, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [319, 511], "expectation_value": -11.249946260843014, "params": null, "bitstrings": ["1011000000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.24996864818639514, 0.7500017274812409], "optimization_time": 268.55923771858215} | -0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.43911436483686694) q[0];
ry(-0.20545358219657) q[1];
ry(-0.0271890858039193) q[2];
ry(0.04674427763555417) q[3];
ry(-0.05447203295459801) q[4];
ry(-0.05514422313844254) q[5];
ry(-0.2383450167822496) q[6];
ry(0.04674427763555417) q[7];
ry(-0.10250813188129523) 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[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]... | [
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIZZIIIIII",
"IIIZIIIIZI",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIIIIIZZII",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIIZIZIII"... | [
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
1.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
1,
-0.25,
0.5,
1.5,
-1,
1.5,
-1.25,
-0.75,
-1.5,
0.25
] | 0.971425 | [
-0.43911436483686694,
-0.20545358219657,
-0.0271890858039193,
0.04674427763555417,
-0.05447203295459801,
-0.05514422313844254,
-0.2383450167822496,
-0.10250813188129523,
2.442855153977941,
-0.036655751480943057,
0.051962963254931493,
-0.026929773433202103,
-0.10425998713315338,
-0.01035847... | {
"n_parameters": 31,
"n_qubits": 10,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 34 |
7bc4dde9a09d0b94c5097b219891d81a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 1], "expectation_value": -8.553829038419273, "params": [[[0.0017000000000000001, 0.006200000000000001], [-0.015600000000000001, 0.003], [0.0017000000000000001, 0.0027], [1.6068, 0.0081]]], "bitstrings": ["1111", "1110"], "total_optimization_steps": 160, "probabilities": [0.4819824254747294, 0.51795535837... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 29.0} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x0) q[2];
rz(x4) q[2];
rx(x5) q[3];
rz(x6) q[3];
c[0] = measure q... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
-4.5,
-4.75,
-4.5,
-4.25
] | 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 |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [21, 31], "expectation_value": -6.219099438712884, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 54, "probabilities": [0.12953053585363375, 0.5652956544300739], "optimization_time": 44.30643343925476} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.25137557506976543) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-0.3034559764764657) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.32149893878205565) q[3];
cx q[4], q[3];
rz(0.05900538221320195) q[4];
rx(0.125911296508555... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IZIIIZ",
"ZIIIIZ",
"ZIIIZI",
"IZIZII",
"IIIZZI",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
-0.5,
0.75,
-1.5,
-2,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-1.75,
-0.25,
-1.25,
0.25,
1.25,
1.75
] | 0.972404 | [
0.25137557506976543,
-0.30313069804113246,
0.23033659415730043,
-0.3034559764764657,
0.35568709670647886,
0.32149893878205565,
0.05900538221320224,
-0.175513034202568,
-0.3239146546667025,
-0.8972253164971841,
-0.9873010555019224,
0.12591129650855593,
-0.1131226468916046,
0.022047127083097... | {
"n_parameters": 48,
"n_qubits": 6,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 145 |
af458648554de42d1265969eb5319ca5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -16.578866914821397, "params": [-0.0092, -0.0942, -0.0048000000000000004, -0.0045000000000000005, 0.0017000000000000001, 0.29960000000000003, 0.0047, 0.30010000000000003, 0.0023, 0.2869, 0.0019, 0.2936, 0.4036, 0.002, 0.3995, 0.0027, 0.0001, 0.2943, 0.0067, 0.3134, 0.0018000000... | -0.5 * (Z(0) @ Z(7)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(7)) + 1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(10)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(... | 6 | 12 | 2 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -16.0, "smallest_bitstrings": ["100000000001", "100000000000", "111011111111", "111011011111"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.12646585826262585) q[0];
rz(1.607298349950355) q[0];
rx(0.051893814569110124) q[1];
rz(1.7879217323524834) q[1];
rx(-0.03474497053343287) q[2];
rz(1.9952849882877892) q[2];
rx(0.702366796257683) q[3];
rz(1.6862146353318952) q[3];
rx(-0.18664447124002262) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIZIIIZIII",
"IIIIIIIIZIIZ",
"IZIIIIIIIIZI",
"IIIIIIIIZIZI",
"IZIIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIZIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZIIZII",
"IIIIZIIZIIII",
"IZIIIIIZIIII",
"IIIIIIIZZIII",
"ZZIIIIIIIIII",
"ZIIIIIZIIIII",
"ZIIIIZIII... | [
-0.5,
-0.75,
-0.25,
1.5,
-1,
-0.25,
-1,
-1,
-0.75,
-0.25,
-0.25,
-0.75,
-1.25,
-1,
-0.75,
-1,
-0.25,
-0.5,
-0.75,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
-0.75,
0.5,
-0.25,
1.25,
0.25,
-0.5,
-1,
0,
0,
-1.75,
1,
0,
0.5
] | 0.97054 | [
-0.12646585826262585,
0.036502023155459445,
0.05189381456911013,
0.2171254055575873,
-0.03474497053343287,
0.4244886614928921,
0.702366796257683,
0.11541830853699901,
-0.18664447124002265,
0.0780044647274929,
0.0866074632997537,
0.20120050685616078,
-0.4414747961401534,
-0.2292978432523631... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 18 |
1a9af805cf7f57ca2d44c009938a54aa | 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": 9}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capac... | {"states": [0, 509], "expectation_value": -4.980515658094769, "params": [[[-0.6709, 0.7295], [-0.0026000000000000003, 1.1136000000000001], [-0.0029000000000000002, -0.003], [-0.0029000000000000002, -0.0016], [0.0028, -0.0015], [-0.0036000000000000003, -0.0018000000000000002], [-0.0028, -0.0028], [-0.002, -0.00180000000... | 0.25 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @... | 15 | 10 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000000", "1000000010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.21737501334783768) q[1];
cx q[2], q[1];
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(-0.5520984500705635) q[0];
cx q[9], q[0];
rz(0.21737501334783804) q[0];
rx(1.0970996366549022) q[0];
cx q[9], 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": 9} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIIZIIIIII",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIIIIZZII",
"ZIIIZIIIII",
"IIIIZIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIZIZIIII",
"IZIIIZIIII",
"IIZIIIIZII",
"IIZIIIZIII",
"ZIIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIIZIII"... | [
0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-0.5,
-0.75,
0,
1.25,
-0.25,
1
] | 0.650781 | [
-0.5520984500705635,
0.21737501334783768,
0.5253775962002157,
0.9422849881501424,
1.3477559908591945,
-1.3049361310391825,
-0.8550644224009503,
1.097099636654902
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 208 |
-3423843564526569824 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 2, 11], [10, 5], [1, 6, 9], [8, 1], [0, 2], [1, 2], [1, 11], [4, 5], [8, 0, 5], [9, 4], [10, 4, 7], [3, 11, 5], [2, 4], [8, 11], [0, 3], [2, 5, 7], [3, 5, 7]]} | {"states": [479, 223], "expectation_value": -2.09344297395526, "params": [[[1.0912, 0.0073], [1.0689, 0.008400000000000001], [1.4309, 0.0029000000000000002], [1.5683, 0.0016], [2.3044000000000002, 0.001], [2.2942, 0.0059], [1.0622, 0.0005], [2.2942, 0.0029000000000000002], [2.3009, 0.006900000000000001], [2.3029, 0.006... | 0.16666666666666666 * (Z(11) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(11)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["111100100000"], "largest_eigenvalue": 11.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.16880780154360453) q[0];
rz(0.25966592473056577) q[0];
rx(-0.018200024786762324) q[1];
rz(0.9231136752443861) q[1];
rx(-0.026973879458307592) q[2];
rz(0.43271893714761245) q[2];
rx(0.3180716986876122) q[3];
rz(-0.20883822184565884) q[3];
rx(3.334199858573445) 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": []} | [
"ZIIIIIIZIIII",
"IIIIIIIZZIII",
"ZIIIIIIIZIII",
"IIIIZIIZIIII",
"IIIIZIIIZIII",
"IIIIZIIIIZII",
"IIIIIIIZIIZI",
"ZIIIIIIIIIZI",
"IIIIIIIIZIZI",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IZIIIIIIZIII",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IIIIIIIZIIIZ",
"IIIIZIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIIZIZI... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
... | 0.971168 | [
0.16880780154360453,
0.25966592473056577,
-0.018200024786762324,
0.9231136752443861,
-0.026973879458307592,
0.43271893714761245,
0.3180716986876122,
-0.20883822184565884,
3.334199858573445,
-0.9315791120236483,
3.2333475075919753,
0.37212903960554167,
-0.17107592338832522,
0.14971054829623... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -5.333333333333332,
"target_ratio": 0.97,
"target_value": -5.173333333333332
} | 29 |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -14.842345072431947, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 51, "probabilities": [0.10238766939330543, 0.5694301130604257], "optimization_time": 68.3484218120575} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
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... | 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[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 \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
-6,
-5.75,
-6,
-5.75,
-5.25,
-5.25
] | 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 |
af2f2f04f1c83cd876e9be016f2f3569 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -21.7510923371172, "params": [[[-0.0024000000000000002, -0.0448], [0.004200000000000001, 0.0032], [0.0021000000000000003, 0.0028], [0.0002, -0.0028], [0.0059, 0.0025], [0.004, 0.0023], [0.0131, 0.0023], [0.0018000000000000002, 0.0021000000000000003], [0.0098, 0.002100000000... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(8)) + -0.75 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(1)) + -0.75 * (Z... | 15 | 12 | 4 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.2446512339983123) q[0];
ry(-0.06515357384151668) q[1];
ry(-0.006466048810758025) q[2];
ry(0.015380888324165908) q[3];
ry(-0.010143035507539037) q[4];
ry(-0.022022745606154723) q[5];
ry(-0.0702776418843252) q[6];
ry(-0.024449234120691526) q[7];
ry(0.09344283915735... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIZIZIIIII",
"IIIIZIIIIIZI",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IZIIIIIIIIZI",
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"IZIIIIIIIZII",
"ZIIIIIIZIIII",
"ZIIIIIZII... | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-2,
-0.75,
-0.75,
-1,
-0.5,
-1.25,
-1.25,
-1,
-1.75,
2.5,
-0.25,
-0.25,
-1,
-1,
-1,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-2,
-0.5,
0.75,
0.75,
2.75,
... | 0.970936 | [
-0.2446512339983123,
-0.06515357384151668,
-0.006466048810758025,
0.015380888324165908,
-0.010143035507539037,
-0.022022745606154723,
-0.0702776418843252,
-0.024449234120691526,
0.09344283915735471,
-0.07380955644517995,
0.14825730961795808,
-0.006379001009925111,
0.022191550544704654,
0.0... | {
"n_parameters": 69,
"n_qubits": 12,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 48 |
2f55547bea74149f74a1253622558179 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"sour... | {"states": [0, 255], "expectation_value": -14.473518444190645, "params": [[[0.0019, 1.6128], [0.002, 0.0021000000000000003], [0.0023, 0.0021000000000000003], [0.0023, 0.5363], [0.0018000000000000002, 0.0024000000000000002], [0.0021000000000000003, 0.0019], [-0.0036000000000000003, 0.0028], [0.0025, 0.003]]], "bitstring... | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -1.5 * Z(0) +... | 15 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0515062126869668) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.7532963022825825) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.021214392633893908) q[1];
rx(-0.9812524089205983) q[1];
rz(-1.0515062126869668) q[2];
cx q[0], q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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;
ry(x0) q[0];
ry(x1... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-2,
-1.5,
-2,
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-1.5,
0.5,
-2.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.575756 | [
-1.0515062126869668,
-0.7532963022825825,
-0.6919819540942587,
-0.21482254462164876,
-0.02121439263389379,
-0.9812524089205983
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 161 |
ced6c703f6fc42ad993c62457521a8a6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [9, 1], "expectation_value": -0.40017078010547613, "params": [[-0.0813], [0.0784]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005391172998293352, 0.005606485752714632], "optimization_time": 4.542090177536011} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.019257244790662688) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7877168041877103) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.019257244790662688) q[2];
cx q[0], q[2];
rz(0.4711390611845201) q[2];
rx(1.6286054759878306) q[2];
h q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
2,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0,
0,
-0.25,
1.75
] | 0.915875 | [
0.019257244790662688,
0.7877168041877103,
0.4711390611845201,
-0.07346987499868925,
0.8629803409167578,
-0.5184398952558648,
1.6286054759878306,
0.06686996022923065,
1.0861776397855343,
0.7850543096022358,
-0.14646282643499497,
-1.831074504387705,
1.075806303014285
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 298 |
0df4df25c74ca38eb293288a64f6d090 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [94, 93], "expectation_value": -10.997278985236465, "params": [[0.047900000000000005, 0.0018000000000000002], [-0.0526, -0.033]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.00829629199169192, 0.009642748654505658], "optimization_time": 3.9503800868988037} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 2 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.13472719791426957) q[0];
rz(0.7621816108220933) q[0];
rx(0.9797023371778154) q[1];
rz(-0.03741898136041918) q[1];
rx(0.2553948032372724) q[2];
rz(0.2997483345010804) q[2];
rx(0.98149266171691) q[3];
rz(0.021241621987064273) q[3];
rx(0.98018860069722) q[4];
rz(-0.03... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
-3,
9,
16,
11,
17.5,
4.5,
14
] | 0.976159 | [
0.13472719791426957,
0.8849967245068193,
0.9797023371778154,
-0.03741898136041918,
0.2553948032372724,
0.2997483345010804,
0.98149266171691,
0.021241621987064273,
0.98018860069722,
-0.037920716797769566,
0.9975135743893738,
-0.1428992541318086,
0.34355392559505205,
0.18303063785957543,
1... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 8 |
925684533b4e31edada01d4959cea14e | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [57, 169], "expectation_value": -4.099780423700976, "params": [0.8036000000000001, 0.2862, 0.8052, 0.0035, 0.16110000000000002, -0.35910000000000003, 0.159, 0.0098, 0.8111, 0.1277, 0.8091, 0.0034000000000000002, 0.7949, 0.2907, 0.7938000000000001, 0.0043, 0.8071, 0.1259, 0.8115, 0.0012000000000000001, 0.003,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(3) + -1.0 * Z(0) + -2.0 * Z(5) + -2.0 * Z(6) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["01010110", "11000110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.01470939381216571) q[0];
rz(-0.25416828870656794) q[0];
rx(0.13587052285822163) q[1];
rz(0.13295160808568107) q[1];
cx q[1], q[0];
rz(0.09827471554522435) q[0];
cx q[1], q[0];
rz(1.2098111194378243) q[0];
ry(0.02496708793819327) q[0];
rz(-1.6444888620915703) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIZIIIZI",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-2,
-2,
-1.5,
-0.5,
0,
-0.5
] | 0.975355 | [
0.01470939381216571,
-0.1558935731613436,
0.13587052285822163,
0.13295160808568107,
0.2870858611536018,
-0.08666241542008846,
0.5616101487944903,
-0.14230483876695776,
0.2952017984387843,
-0.12335223764008402,
0.13969774897909537,
0.3884602622227632,
-0.055175757640548044,
0.01612505930701... | {
"n_parameters": 133,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
-5192292056592414603 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 7], [2, 4, 6], [0, 1, 3, 5, 8], [3, 5, 6, 7, 8], [8, 3, 4, 6], [0, 1, 3, 4, 5]]} | {"states": [403, 407], "expectation_value": -1.0922919971088523, "params": [1.0963, -0.006200000000000001, 1.0965, 0.0034000000000000002, 1.0957000000000001, -0.010400000000000001, 1.0885, 0.0079, 0.7669, 0.0092, 0.5569000000000001, 0.004, 1.0883, 0.0123, 0.8971, 0.003, 1.0956000000000001, -0.0102, 1.0977000000000001, ... | 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.05 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(4)) + 0.05 * (Z(0) @ Z(4)) + 0.05 * (Z(1) @ Z(4)) + 0.1 * (Z(1) @ Z(0)) + 0.05 * (Z(3) @ Z(7)) + 0.13333333333333333 * (Z(3) @ Z(4)) + 0.13333333333333333 * (Z(3) @ Z(6)) + 0.1 * (Z(... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.6833333333333338, -1.6833333333333338], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6833333333333333, "smallest_bitstrings": ["001001001", "001101000"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.4103126609545398) q[0];
rz(1.577251100275725) q[0];
rx(1.270509357445861) q[1];
rz(2.113463111667828) q[1];
rx(0.32476024764085387) q[2];
rz(1.371065819219889) q[2];
rx(0.18934119300783642) q[3];
rz(0.6707277665033704) q[3];
rx(1.4223282220219566) q[4];
rz(1.470853... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IZIIIIZII",
"IIIIZIZII",
"IZZIIIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIIIZIIIZ",
"IIIIZIIZI",
"IIIIIIIZZ",
"IZIIIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IZIZIIIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZIZIII",
"ZZIIIIIII",
"ZIIIZIIII",
"... | [
0.5,
0.16666666666666666,
0.05,
0.16666666666666666,
0.25,
0.05,
0.05,
0.1,
0.05,
0.13333333333333333,
0.13333333333333333,
0.1,
0.1,
0.05,
0.05,
0.05,
0.1,
0.1,
0.15000000000000002,
0.05,
0.08333333333333333,
0.13333333333333333,
0.05,
0.05,
0.18333333333333335,
0.... | 0.972208 | [
2.4103126609545398,
0.006454773480828499,
1.2705093574458612,
0.5426667848729317,
0.3247602476408538,
-0.19973050757500765,
0.18934119300783642,
-0.900068560291526,
1.4223282220219566,
-0.09994237534702889,
1.368687730464041,
-0.17260067392853928,
2.0721672223749037,
-0.005421141907391638,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -1.6833333333333338,
"target_ratio": 0.97,
"target_value": -1.6328333333333338
} | 89 |
-4230564470616718058 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [0, 3], [2, 4], [0, 6, 7], [4, 5], [2, 3, 7], [5, 7], [0, 1, 7], [8, 4, 7], [0, 8, 1], [8, 3, 6], [1, 4], [4, 6], [0, 1, 5], [8, 1, 7]]} | {"states": [274, 275], "expectation_value": -3.035022356088209, "params": [[1.3631, 0.6993, -0.13340000000000002, 0.5003000000000001, 1.5931000000000002, 0.35960000000000003, -0.0038, 1.5834000000000001, 0.0694], [1.5798, 0.9153, 0.5804, 1.5917000000000001, 1.4923000000000002, 0.5159, 0.9808, 1.5805, 1.5951000000000002... | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.166... | 10 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["011101100"], "largest_eigenvalue": 11.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.7229154982317436) q[0];
ry(0.06520473244224784) q[1];
ry(-0.5175571531780778) q[2];
ry(-0.005075744385053836) q[3];
ry(1.6988906638481593) q[4];
ry(-0.04549374695207567) q[5];
ry(0.1827322245319935) q[6];
ry(1.7266047956617931) q[7];
ry(-0.015381116733603019) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIZII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIZIIIII",
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIZIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.1666666... | 0.981755 | [
1.7229154982317436,
0.06520473244224784,
-0.5175571531780778,
-0.005075744385053836,
1.6988906638481593,
-0.04549374695207567,
0.1827322245319935,
1.7266047956617931,
-0.015381116733603019,
1.4425810919738757,
0.15634507647422874,
0.47291324852375854,
0.358410622081916,
1.2946562983601888,... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -4.833333333333334,
"target_ratio": 0.97,
"target_value": -4.6883333333333335
} | 32 |
-1220577016485679472 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 5], [0, 10, 7], [0, 9, 6], [1, 7], [8, 1, 9], [1, 6], [2, 11], [11, 4], [6, 7], [8, 3], [8, 7], [0, 9, 7], [2, 3, 6], [5, 7], [9, 4, 7], [1, 4], [9, 2, 3], [8, 9, 10], [9, 5]]} | {"states": [1349, 1861], "expectation_value": -5.423740009290153, "params": [[[1.2866, 0.0083, 0.0098, 0.0061], [-0.0024000000000000002, -0.3052, 1.5684, 0.006], [1.5892000000000002, 0.0017000000000000001, 0.006500000000000001, 0.007200000000000001], [0.0031000000000000003, -0.2152, 1.5738, 0.0076], [0.0026000000000000... | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(11) @ Z(4)) + 0.16666666... | 12 | 12 | 1 | {"smallest_eigenvalues": [-5.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.666666666666667, "smallest_bitstrings": ["100010111010"], "largest_eigenvalue": 13.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8203247849988041) q[0];
rz(0.3623778321253628) q[0];
ry(0.052523876631443644) q[1];
rz(-0.13720704415080645) q[1];
cz q[1], q[0];
ry(-3.1065966069099606) q[1];
ry(2.5218842936409445) q[2];
rz(-0.1200343222783701) q[2];
ry(0.13028811647132965) q[3];
rz(-0.274123632... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZI",
"IIIIZIIZIIII",
"IIIIZIIIIIZI",
"IIIIIIIIIZIZ",
"IIZIIIIIIIZI",
"IIZIZIIIIIII",
"IIZIIIIIIZII",
"IIZIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIIIIIIZI",
"ZIIIZIIIIIII",
"ZIIIIIIIIZII",
"ZIIIIIIIIIIZ",
"ZIZIIIIIIIII",
"IIIZIIIZIIII",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIZZIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.1666666666666... | 0.970101 | [
0.8203247849988041,
0.3623778321253628,
0.052523876631443644,
-0.13720704415080645,
2.5218842936409445,
-0.1200343222783701,
0.13028811647132965,
-0.2741236324339196,
-0.0038259760612122384,
-0.19180029533727938,
1.1258386614806688,
-0.09119246703396293,
0.17581655418680558,
-0.07148586250... | {
"n_parameters": 30,
"n_qubits": 12,
"optimal_eigenvalue": -5.999999999999999,
"target_ratio": 0.97,
"target_value": -5.819999999999999
} | 27 |
-7533301192627767249 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [3, 5], [0, 1, 2, 4, 6], [0, 5, 6], [1, 2, 4, 5]]} | {"states": [19, 51], "expectation_value": -1.524471727741803, "params": null, "bitstrings": ["1101100", "1001100"], "total_optimization_steps": 32, "probabilities": [0.17519645343854867, 0.5866838993471449], "optimization_time": 34.678061723709106} | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.13333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6166666666666667, -1.6166666666666667, -1.6166666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5333333333333334, "smallest_bitstrings": ["1101000", "1001100", "0011001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.23594889453701787) q[0];
h q[1];
ry(-2.6918624920651237) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7259261143619337) q[3];
h q[4];
ry(-0.12301725168260338) q[4];
cx q[1], q[4];
ry(0.12301725168260338) q[4];
cx q[1], q[4];
ry(-0.022923910576545605) q[1];
cx q[4], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4074) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIIIIZZ",
"IZIIIZI",
"IIZIZII",
"IIZIIIZ",
"IZZIIII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
0.21666666666666667,
0.25,
0.3333333333333333,
0.5,
0.13333333333333333,
0.05,
0.08333333333333333,
0.13333333333333333,
0.05,
0.08333333333333333,
0.13333333333333333,
0.05,
0.21666666666666667,
0.16666666666666666,
0.05,
0.05,
0.39166666666666666,
0.43333333333333346,
0.4583333... | 0.972845 | [
1.6110677219453335,
-1.4518522287238673,
0.7859916564572071,
-0.47189778907403573,
0.67014901762604,
0.5183277987011922,
-0.6148921289587879,
0.6677685173455741,
-0.3066783557945292,
0.23996172463576967,
0.17312343960062462,
0.21905379600081376,
-0.21203055481805785,
-0.24603450336520677,
... | {
"n_parameters": 31,
"n_qubits": 7,
"optimal_eigenvalue": -1.6166666666666667,
"target_ratio": 0.97,
"target_value": -1.5681666666666667
} | 4 |
ec471b6985489d774242f85569adf59b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -0.7937967634237784, "params": [[0.0666, 0.06620000000000001, 0.0244], [-0.062400000000000004, -0.0684, -0.0405]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01379996641822878, 0.014362439439407735], "optimization_time": 4.74544453... | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1100000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.22626317840587773) q[0];
ry(-0.5184008335123981) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(1.1401633959010897) q[3];
cx q[2], q[3];
ry(-1.1401633959010897) q[3];
cx q[2], q[3];
ry(1.0093741371010103) q[2];
cx q[3], q[2];
ry(-1.0093741371010103) q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZIIZII",
"IIZIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-1.25,
0.75,
-0.75,
0.5,
-0.25,
0,
-0.75,
-0.5,
1,
0
] | 0.970102 | [
-0.1900303620413008,
2.2803267918021795,
1.1256654437583153,
2.0187482742020206,
1.6434168369096631,
1.8426328371418002,
-0.45252635681175546,
0.08217158641126696,
-0.8455112738086743,
-0.4137684389476487,
0.288434515948629,
-1.303737398731056,
-0.011656880147209253,
0.1711251505104498,
... | {
"n_parameters": 32,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 99 |
3c6a0f75571e718d8fbaf4d718e39505 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [49, 71], "expectation_value": -0.2694364124441141, "params": [[0.0658], [-0.0653]], "bitstrings": ["1001110", "0111000"], "total_optimization_steps": 10, "probabilities": [0.008989347085896274, 0.009122393960951252], "optimization_time": 1.5500812530517578} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 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(6) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.024969263718757094) q[0];
rz(0.838466479483619) q[0];
ry(0.4543828048928915) q[1];
rz(0.9774482153118855) q[1];
cx q[1], q[0];
ry(-0.14349311077027735) q[1];
rz(0.14845698270035257) q[1];
ry(1.6406173499573802) q[2];
rz(-0.056617967186184705) q[2];
ry(1.6086760675... | 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[0], q[2];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"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,
-1.5,
-0.5,
-1.5,
-2,
-1,
-1,
0
] | 0.973 | [
0.024969263718757094,
0.838466479483619,
0.4543828048928915,
0.9774482153118855,
1.6406173499573802,
-0.056617967186184705,
1.6086760675696128,
0.1312333854197392,
1.6971655849709717,
0.039777741379520844,
-0.01686345976190709,
0.22016387161090592,
1.5972859335962972,
-0.10288603590630956,... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 19 |
f018d277ea885d5b7d56fc1e20769028 | 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": [621, 589], "expectation_value": -66.15462159030531, "params": [1.2988, 0.32580000000000003, 0.48160000000000003, 0.5783, -0.0026000000000000003, 0.9699000000000001, 1.3008, 0.24980000000000002, 0.7583000000000001, 0.4207, 0.4927, 0.43510000000000004, 1.2961, 0.005, 1.3090000000000002, 0.33130000000000004, 0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(6)) + 7.5 * Z(0) + 2.5 * Z(1) + 6.0 * Z(3) + 8.5 * Z(4) + 16.5 * Z(6) + 3.0 * Z(5) + 8.5 * Z(7) + 1.0 * Z(... | 18 | 10 | 2 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["0110110010"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.5471613828535888) q[0];
rz(0.2860325711256566) q[0];
rx(-0.005491494180373709) q[1];
rz(0.8226482503175879) q[1];
rx(0.019766828308400885) q[2];
rz(0.9620570326105511) q[2];
rx(1.6287070575559035) q[3];
rz(0.4582015093717264) q[3];
rx(-0.09597821074403023) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIIIIIIIZ",
"IZZIIIIIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIZII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
7.5,
2.5,
6,
8.5,
16.5,
3,
8.5,
1,
9,
-9.5
] | 0.971604 | [
1.5471613828535888,
0.22221198765701022,
-0.005491494180373709,
0.8226482503175879,
0.019766828308400885,
0.9620570326105511,
1.6287070575559035,
0.4582015093717264,
-0.09597821074403023,
0.2396373152007476,
0.28394905182249963,
0.4166350627137806,
1.166580911096942,
0.01732847117025227,
... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 17 |
c73fb99b98fad074b962ce40ef7ee484 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"s... | {"states": [8191, 8190], "expectation_value": -44.02723941862325, "params": [[[0.0025, 3.1591], [0.0019, 0.0024000000000000002], [0.0021000000000000003, 0.0019], [-0.003, 0.0029000000000000002], [-0.0029000000000000002, 0.0029000000000000002], [-0.0026000000000000003, 0.0027], [-0.0028, -0.0148], [0.002, 0.002], [0.002... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(4)) + -2.5 ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-44.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -43.5, "smallest_bitstrings": ["0000000000001"], "largest_eigenvalue": 40.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.04040606405510361) q[0];
ry(-0.10453343005773545) q[1];
ry(0.006993206438385691) q[2];
ry(-0.07625978287000167) q[3];
ry(0.01442025009861905) q[4];
ry(0.13774493356557) q[5];
ry(0.03352278518538656) q[6];
ry(-0.05941519237158432) q[7];
ry(-0.0036301502831336753) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 13} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZIZII",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIIIIZZIII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZZIIII",
"IIIIIIIZIZIII",
"IIIIZIZIIIIII",
"IIIZZIIIIII... | [
-2.5,
0.5,
-2.5,
1,
-2.5,
-2.5,
-2.5,
1,
1,
-3,
0.5,
0.5,
-2.5,
1,
-2.5,
-3,
-3,
-2.5,
-3,
-3,
1.5,
-3,
1.5,
-2.5,
-3,
-3,
1,
0.5,
-2.5,
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
] | 0.975773 | [
-0.04040606405510361,
-0.10453343005773545,
0.006993206438385691,
-0.07625978287000167,
0.01442025009861905,
0.13774493356557,
0.03352278518538656,
-0.05941519237158432,
-0.0036301502831336753,
1.5764640382186288,
0.15220595772471662,
3.092638090851527,
0.12549329905877774,
-0.065355677995... | {
"n_parameters": 16,
"n_qubits": 13,
"optimal_eigenvalue": -44.5,
"target_ratio": 0.97,
"target_value": -43.165
} | 1 |
bf3ec5b79f8955f472cb6ac1b88c1910 | 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": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [3, 63], "expectation_value": -4.335777917378977, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 65, "probabilities": [0.10092551742810486, 0.4968437275028238], "optimization_time": 81.68458032608032} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 2 | {"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];
ry(-0.030506047325823155) q[0];
h q[1];
ry(0.9626531012769405) q[1];
h q[2];
ry(0.7812508056207816) q[2];
h q[3];
ry(0.7812508056207816) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7812508056207816) q[3];
cx q[4], q[3];
cx q[3], q[1];
ry(-0.9626531012769405) q[1];
cx q[3... | 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(1.5486) q[4], 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]... | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
0.5,
0.25
] | 0.951722 | [
1.5625016112415633,
1.925306202553881,
1.2541936550988508,
1.4110912127349848,
-0.06101209465164631,
-1.7685038255782743,
-1.804348101458756,
1.9589904075550268,
-1.8509833662241,
0.03816537342584572,
-1.3333242559645757,
0.9913171017473899,
-0.01566841648661444,
0.1802021332140572,
2.98... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 500 |
-5751249132743867441 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 5], [6, 7], [3, 7], [0, 1, 2, 4, 5], [2, 3, 6], [1, 3, 5], [5, 6]]} | {"states": [217, 218], "expectation_value": -2.3516121445266154, "params": null, "bitstrings": ["00100110", "00100101"], "total_optimization_steps": 50, "probabilities": [0.07600888137934919, 0.8224020580710365], "optimization_time": 80.37275171279907} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(5)) + 0.16... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.7000000000000006], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["00100101"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.068333978197606) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.4072099476402096) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.20653172881579826) q[5];
cx q[0], q[5];
h q[6];
cx q[3], q[6];
rz(-0.068333978197606... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIZIIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIZIIZII",
"IZIIIZII",
"IIIIIZZI",
"IIIZIIIZ",
"IIZZIIII",
"IIIZIIZI",
"IIIZIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIII... | [
0.16666666666666666,
0.3333333333333333,
0.21666666666666667,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.05,
0.21666666666666667,
0.16666666666666666,
0.05,
0.05,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5000000000000001,
0.26666666666666666,
0.4... | 0.536176 | [
-0.068333978197606,
0.4072099476402096,
0.20653172881579826,
0.8070480169963404,
0.04152867476315612,
1.5116744985911827,
-0.06932726946519543,
-0.47193901256005105,
-1.2828830187120737,
-0.9194868234939167
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -2.7000000000000006,
"target_ratio": 0.97,
"target_value": -2.6190000000000007
} | 271 |
c27e04a1b516da945dec2e0c25bb156f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [255, 129], "expectation_value": -3.7114020794584794, "params": [[0.060700000000000004, 0.0663, 0.0487], [-0.041100000000000005, -0.054900000000000004, -0.0468]], "bitstrings": ["100000000", "101111110"], "total_optimization_steps": 10, "probabilities": [0.007871284590053233, 0.008792061206734174], "optimiza... | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06967276814104263) q[0];
rz(-0.5208853132243405) q[0];
rx(0.37891887116917855) q[1];
rz(-0.049982881516559274) q[1];
rx(-0.13726470414877495) q[2];
rz(-0.4430494836647938) q[2];
rx(0.003126559692845046) q[3];
rz(-0.3648118766750441) q[3];
rx(0.09891199110043837) 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"... | [
-0.5,
-1.75,
-1.25,
-1,
-0.5,
-0.25,
2,
-1,
-2.5,
-0.5,
-1,
-1.25,
-0.25,
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.75,
-0.75,
-0.5,
0.75,
-0.25,
-2,
1.5,
-1.25,
0.75,
-0.5,
1.5,
-0.5
] | 0.980767 | [
-0.06967276814104263,
-0.5077052066360224,
0.37891887116917855,
0.11250276711834724,
-0.137264704148775,
-0.45793354836872574,
0.003126559692845046,
-0.42011945932490585,
0.09891199110043836,
-0.5070494861943647,
0.07526411138815307,
-0.5086162215845557,
-0.0346396890206757,
-0.66674823848... | {
"n_parameters": 124,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
-7742219682958855466 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2, 4], [0, 1, 3], [1, 2, 3]]} | {"states": [30, 28], "expectation_value": -0.8413732013946086, "params": null, "bitstrings": ["00001", "00011"], "total_optimization_steps": 21, "probabilities": [0.02848223612720294, 0.8438944443885048], "optimization_time": 16.196932792663574} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (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)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.4583333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.9166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9166666666666665, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 3.0000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.4909508821224503) q[0];
h q[1];
ry(1.5099565638204926) q[1];
h q[2];
h q[3];
ry(-0.24603260436124091) q[3];
cx q[2], q[3];
ry(0.24603260436124091) q[3];
cx q[2], q[3];
ry(-0.2493747660505513) q[3];
cx q[0], q[3];
ry(0.2493747660505513) q[3];
cx q[0], q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4074) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IZIZI",
"IZIIZ",
"IZZII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.4583333333333335,
0.29166666666666663,
0.29166666666666663,
0.125,
0.3333333333333333
] | 0.981536 | [
1.5099565638204926,
-0.49206520872248183,
0.4909508821224503,
-0.4987495321011026,
0.5663062292170725,
-0.3646351406581022,
0.4635505901495242,
-0.5013843024509357,
0.7384553888582166,
-0.4636275857721611,
-0.46807202198498504,
0.43294760755566986,
0.23975427455036102,
-0.39183327733624346... | {
"n_parameters": 21,
"n_qubits": 5,
"optimal_eigenvalue": -0.9166666666666667,
"target_ratio": 0.97,
"target_value": -0.8891666666666667
} | 3 |
117d5eadcb002c843d1e10097e462227 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [15, 23], "expectation_value": -1.1432351812370636, "params": [[-0.075, -0.07730000000000001, -0.0779, -0.056600000000000004], [0.07400000000000001, 0.0753, 0.0777, 0.0704]], "bitstrings": ["110000", "101000"], "total_optimization_steps": 10, "probabilities": [0.03332238702333643, 0.03332238702333646], "opti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(1.4479777882315188) q[0];
rz(-0.0410635451729493) q[0];
rx(1.6707270756630017) q[1];
rz(-0.5025707057789535) q[1];
rx(0.12191439196254802) q[2];
rz(-0.10535812139801859) q[2];
rx(-0.17080179574029059) q[3];
rz(0.36643007906481095) q[3];
rx(0.12191439196254804) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
0,
0,
0
] | 0.975636 | [
1.447977788231519,
-0.13929152858914753,
1.670727075663002,
0.12191439196254804,
0.2784167354321591,
-0.1708017957402906,
0.6155213340906953,
0.34082768408182945,
0.07876221148488821,
-0.5482503076417033,
0.39134103961369215,
-0.49818251005176784,
-0.7675497136603552,
-0.7265583543796119,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -3.0625,
"target_ratio": 0.97,
"target_value": -2.970625
} | 11 |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -11.999999956492717, "params": null, "bitstrings": ["1011111", "1011110"], "total_optimization_steps": 27, "probabilities": [8.327888960773482e-09, 0.9999999914851723], "optimization_time": 24.192705631256104} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5874017135860925) q[0];
h q[1];
ry(1.608914631976602) q[1];
h q[2];
ry(-1.5874017135860925) q[2];
h q[3];
ry(-1.5874017135860925) q[3];
h q[4];
ry(-1.5874017135860925) q[4];
ry(-0.05125907922144988) q[5];
rz(-pi) q[5];
h q[6];
ry(0.7820613171932738) q[6];
... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1,
0.75,
-0.25,
-0.25,
0,
2.5,
-1.75,
-1
] | 0.99923 | [
1.608914631976602,
1.5641226343865475,
-1.5874017135860925,
-1.5438637253244718,
0.04865295550204985
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 1 |
e2466d0e59f9ae9b15e99011693e125f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [100, 82], "expectation_value": -0.6520382681434709, "params": [[-0.0451, -0.035500000000000004, -0.0415], [0.0534, 0.044700000000000004, 0.046900000000000004]], "bitstrings": ["0011011", "0101101"], "total_optimization_steps": 10, "probabilities": [0.010823552609895292, 0.010823552609895298], "optimization_... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(6) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011011", "0101101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-0.01566938174441882) q[1];
h q[2];
h q[3];
ry(-1.382312814660902) q[3];
h q[4];
ry(-0.32749804696590257) q[4];
cx q[2], q[4];
ry(0.32749804696590257) q[4];
cx q[2], q[4];
ry(1.126452676106575) q[2];
ry(-0.8310830393541792) q[4];
ry(-0.626764594... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"ZZIIIII",
"IZIIIZI",
"IZIZIII",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1.5,
-1,
-1.5,
-1.5,
-1
] | 0.972185 | [
-1.382312814660902,
-1.6193805840722992,
-1.290575397728871,
-0.6549960939318051,
1.126452676106575,
-0.6967689800025078,
0.5341433193132382,
0.24374272147914156,
-0.26862811870334274,
-0.2199899576074521,
0.693087330399002,
2.0516911249923644,
-0.4184533366192725,
-0.1657277228626028,
0... | {
"n_parameters": 23,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [60851, 60855], "expectation_value": -16.099862554439472, "params": [3.1452, 0.0057, 3.145, 0.0029000000000000002, 1.7869000000000002, 0.0076, 1.3318, 0.009000000000000001, 3.1451000000000002, 0.0089, 3.145, 0.0045000000000000005, 1.4826000000000001, 0.0012000000000000001, 1.7896, 0.0041, 1.7494, 0.0025, 1.4... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 18 | 16 | 1 | {"smallest_eigenvalues": [-20.00000000000009], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999876, "smallest_bitstrings": ["0001001001001000"], "largest_eigenvalue": 67.99999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0361059844083795) q[0];
rz(0.2538864396112084) q[0];
rx(0.6189462132348078) q[1];
rz(-0.21762453154559475) q[1];
rx(0.6524000169646366) q[2];
rz(0.24446300716621922) q[2];
rx(-0.12421013628383518) q[3];
rz(0.2697688833504035) q[3];
rx(0.7337250473435663) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.971641 | [
1.0361059844083795,
0.04207048271458553,
0.6189462132348078,
-0.21762453154559475,
0.6524000169646366,
0.24446300716621922,
-0.12421013628383518,
0.2697688833504035,
0.7337250473435663,
0.10891100270157394,
0.9285896273892676,
0.30968646813099326,
0.08969789985041493,
0.30290502113283285,
... | {
"n_parameters": 183,
"n_qubits": 16,
"optimal_eigenvalue": -20.00000000000009,
"target_ratio": 0.97,
"target_value": -19.400000000000084
} | 24 |
f83a24061b1538365ea5863841ae1bf9 | 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": 11, "source": 0, "target": 7}, {"weight": 12, "source": 0, "target": 3}, {"weight": 17, "source": 1, "tar... | {"states": [419, 242], "expectation_value": -27.241145496300668, "params": [[0.0323, 0.006, -0.0126], [-0.08370000000000001, -0.07060000000000001, -0.0514]], "bitstrings": ["001011100", "100001101"], "total_optimization_steps": 10, "probabilities": [0.009633877837717103, 0.010835086437512489], "optimization_time": 14.3... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04871646612516628) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.04871646612516628) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.04871646612516628) q[1];
cx q[0], q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.04871646612516628) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIZIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
12,
10.5,
10,
17.5,
-2.5,
3,
15.5,
8.5
] | 0.970674 | [
0.04871646612516628,
-1.8688513198462988,
0.7685111574059985,
-0.8440976668675935,
-1.792414361819576,
-0.8909371382579828,
1.275892672462125,
1.3454998306546064,
-0.9336965764881793,
0.722699565597045,
1.0788790798445864,
-0.003455671583784653,
0.2680719975684451,
1.0517416217444742,
-1... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 72 |
7965923827962797828 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 8, 9], [0, 3, 5, 7, 8, 9], [1, 6, 7], [1, 3], [1, 2, 5], [0, 2, 3, 4, 7, 8], [1, 2, 4, 7, 8], [8, 1, 4, 5], [9, 2, 5, 7], [0, 3, 5, 6, 8, 9], [8, 0, 2, 6]]} | {"states": [766, 254], "expectation_value": -1.7457737108345173, "params": [1.0728, -0.2144, 1.074, 0.003, 1.0485, 0.37720000000000004, 0.8952, 0.002, 1.2870000000000001, -0.042800000000000005, 1.139, 0.0001, 1.0353, 0.19920000000000002, 0.7393000000000001, 0.009000000000000001, 1.2983, 0.0538, 1.2847, 0.0037, 1.3002, ... | 0.08333333333333334 * (Z(2) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(3)) + 0.13333333333333336 * (Z(4) @ Z(2)) + 0.15 * (Z(8) @ Z(3)) + 0.21666666666666667 * (Z(8) @ Z(2)) + 0.21666666666666667 * (Z(8) @ Z(4)) + 0.11666666666666667 * (Z(9) @ Z(3)) + 0.13333333333333333 * (Z(9) @ Z(2)) + 0.05 * (Z(9) @ Z(4)) + 0.116666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-2.8833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["1100000001"], "largest_eigenvalue": 10.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.0046719471459242) q[0];
rz(-0.7437501838643286) q[0];
rx(0.36484887187508913) q[1];
rz(0.6568569342457082) q[1];
rx(1.9253806333077117) q[2];
rz(-0.3839824524976856) q[2];
rx(1.5638960105265385) q[3];
rz(-0.13762054293629733) q[3];
rx(1.8852688674040732) 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": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IZIIIIZIII",
"IZIIIIIZII",
"IZIIIZIIII",
"ZIIIIIZIII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IZIIZIIIII",
"ZIIIZIIIII"... | [
0.08333333333333334,
0.08333333333333334,
0.13333333333333336,
0.15,
0.21666666666666667,
0.21666666666666667,
0.11666666666666667,
0.13333333333333333,
0.05,
0.11666666666666667,
0.1,
0.11666666666666667,
0.03333333333333333,
0.18333333333333335,
0.06666666666666667,
0.066666666666666... | 0.971024 | [
-0.004671947145924199,
-0.3943373046374613,
0.3648488718750891,
0.4205433262741514,
1.9253806333077115,
-0.3978515686388735,
1.5638960105265383,
-0.08112504138526161,
1.8852688674040732,
-0.5351718677821,
1.7783023573511791,
-0.49514271328808207,
1.55470649818694,
-0.09688762321244075,
0... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -2.8833333333333337,
"target_ratio": 0.97,
"target_value": -2.7968333333333337
} | 74 |
20b257e7ab3ea05503daa46ec3868b05 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [182, 359], "expectation_value": -0.38947232151962174, "params": [[-0.0648, -0.0653, -0.0626, -0.0485], [0.07350000000000001, 0.0693, 0.066, 0.0594]], "bitstrings": ["101001001", "010011000"], "total_optimization_steps": 10, "probabilities": [0.003740628624734998, 0.004346504757611496], "optimization_time": ... | 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)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(7)) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.6875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6875, "smallest_bitstrings": ["010011000"], "largest_eigenvalue": 5.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIZIIIIZ",
"IIZIIIZII",
"IZIIIIZII",
"IIIZIIZII",
"IZZIIIIII",
"IIZZIIIII",
"IZIZIIIII",
"IIZIIIZIZ",
"IZIIIIZIZ",
"IIIZIIZIZ",
"IZZIIIIIZ",
"IIZZIIIIZ",
"IZIZIIIIZ",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125... | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
ab957251534d09507f870c3a6ef42154 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [2393, 2394], "expectation_value": -1.282627630988568, "params": null, "bitstrings": ["011010100110", "011010100101"], "total_optimization_steps": 100, "probabilities": [0.03790126339829552, 0.49075599085358346], "optimization_time": 316.2135269641876} | 0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6)... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["100101011010", "101010010101", "010101101010", "011010100101"], "largest_eigenvalue": 1.52291666666666... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | null | {"communities_size": 3, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-0.5959) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
0.00034722222222222224,
0.00034722222222222224,
0.25,
-0.0010416666666666667,
-0.0015625,
-0.0010416666666666667,
-0.0015625,
0.25,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.25,
... | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
-7174762811135644082 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3], [0, 1], [2, 10], [10, 4], [11, 5], [3, 6], [2, 7], [8, 2], [8, 9]]} | {"states": [1669, 1701], "expectation_value": -0.024132103493819085, "params": [[[1.5121, 0.008700000000000001], [1.6151, 0.0081], [1.6481000000000001, 0.0015], [1.5399, 0.00030000000000000003], [1.647, 0.0043], [1.4718, 0.0076], [1.5942, 0.0028], [1.4793, 0.008400000000000001], [1.482, 0.0012000000000000001], [1.6412,... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(4) @ Z(10)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(10) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(11) + 0.0 * Z(6) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["101110000101", "010001111010", "100100011011", "101111000100", "011010100101", "011011100100", "010000111011", "100101011010"], "largest_eigenvalue": 4.5... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.013529916761407912) q[0];
rz(-0.577900940188565) q[0];
rx(2.979941334213154) q[1];
rz(0.9186751663461773) q[1];
rx(3.0505431785926302) q[2];
rz(2.6401465392164463) q[2];
rx(0.32933303901288447) q[3];
rz(-0.7815736640335296) q[3];
rx(2.8436791435348985) 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": []} | [
"IIIIIIIIZIZI",
"IIIIIIIIIIZZ",
"IZIIIIIIIZII",
"IZIIIIIZIIII",
"ZIIIIIZIIIII",
"IIIIIZIIZIII",
"IIIIZIIIIZII",
"IIIZIIIIIZII",
"IIZZIIIIIIII",
"IIIIIIIIZIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"ZIIIIIIIIIII",
"IIIIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97155 | [
-0.013529916761407912,
-0.577900940188565,
2.979941334213154,
0.9186751663461773,
3.0505431785926302,
2.6401465392164463,
0.32933303901288447,
-0.7815736640335296,
2.8436791435348985,
-1.511286218158506,
-0.15978224916441827,
-1.8533739403056326,
2.9277001028748306,
-1.7963348334485518,
... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 46 |
9a33a97e99d096a15ec624378476d390 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"sour... | {"states": [324, 332], "expectation_value": -6.06735780412813, "params": [[0.7818, 0.0027, 0.7848, 0.0034000000000000002, -0.004, -0.5466, 1.0909, 0.2452, -0.0011], [0.7796000000000001, 0.0044, 0.787, 0.0026000000000000003, -0.0018000000000000002, 0.554, 1.0788, 0.1467, 0.0019], [0.7846000000000001, 0.0044, 0.7792, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(3) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["010110011", "001100111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.1305917059975488) q[0];
ry(-0.05910878706327685) q[1];
ry(0.930249238254544) q[2];
ry(-0.0396235635606396) q[3];
ry(0.18931819321193288) q[4];
ry(-0.7805651136674409) q[5];
ry(1.3339408759614693) q[6];
ry(0.25559300405330876) q[7];
ry(0.09375708533894932) q[8];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"ZIIIIIZII",
"IIIIIIZZI",
"IIZIIIIZI",
"ZIIIZIIII",
"IIIIZIZII",
"IIZIZIIII",
"IIIZIZIII",
"ZIIZIIIII",
"IZZIIIIII",
"IZIIZIIII",
"IZIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"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,
0.5,
-1,
-0.5,
-1.5,
-1,
-1,
-1,
-1.5,
-1,
-1
] | 0.971629 | [
1.1305917059975488,
-0.05910878706327685,
0.930249238254544,
-0.0396235635606396,
0.18931819321193288,
-0.7805651136674409,
1.3339408759614693,
0.25559300405330876,
0.09375708533894932,
0.5962795191355762,
0.029903800821663426,
0.8787831238631745,
0.0003387763427034063,
-0.1986454749662324... | {
"n_parameters": 31,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 8 |
-3244939026769364016 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3], [0, 5], [0, 6], [3, 4, 7], [4, 6, 7], [0, 2, 4], [1, 5]]} | {"states": [55, 62], "expectation_value": -0.03476981796434943, "params": [[0.059000000000000004], [-0.0478]], "bitstrings": ["11001000", "11000001"], "total_optimization_steps": 10, "probabilities": [0.004113917680852074, 0.004128710991417321], "optimization_time": 0.656287431716919} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["11000001"], "largest_eigenvalue": 5.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.5085558908123637) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.15362101631490716) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.15362101631490716) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.15362101631490716) q[4];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IZIZIIII",
"ZIIIZIII",
"ZZIIIIII",
"ZIIZIIII",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI"
] | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.3333333333333335,
0.3333333333333333,
0... | 0.531888 | [
0.5085558908123637,
0.15362101631490716,
0.9157959137604842,
-0.053189155928719825,
-0.8089415120081461
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 143 |
08ced21e9f416e8feafb347a1a58a965 | 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": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4},... | {"states": [2032, 2047], "expectation_value": -2.671345101472533, "params": [[-0.08320000000000001], [0.0789]], "bitstrings": ["00000001111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0009880402977980678, 0.0010078473001620817], "optimization_time": 0.8550033569335938} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -3.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.7195641456974728) q[0];
h q[1];
h q[2];
ry(0.7195641456974728) q[2];
h q[3];
h q[4];
ry(0.7195641456974728) q[4];
cx q[3], q[4];
ry(-0.7195641456974728) q[4];
cx q[3], q[4];
cx q[4], q[2];
ry(-0.7195641456974728) q[2];
cx q[4], q[2];
ry(0.6802561569549026)... | 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[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];
h q[10];
cx q[2], ... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZIIIZII",
"IIIIZIIIIZI",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"IIZZIIIIIII",
"ZZIIIIIII... | [
-1.5,
0.5,
-3,
0.5,
-2.5,
0.5,
0.5,
-3,
1,
-2,
0.5,
0.5,
-3,
1,
-2,
-2.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5
] | 0.901262 | [
1.4391282913949457,
1.3605123139098052,
0.7034184197805553,
-0.08256962684676107,
-0.009848481800917915,
0.02274299165125132,
-0.13013160614920635,
1.69364394474401,
-0.022012043901208322,
0.06694450271130313,
-0.0071531395393085034,
2.6780769247055805,
-0.03505493534994073,
-0.16021003834... | {
"n_parameters": 80,
"n_qubits": 11,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 500 |
fb354d60453679d679afcbc2ef259e36 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 5... | {"states": [126, 118], "expectation_value": -66.48316939029289, "params": [1.3201, 0.006200000000000001, 3.1454, 0.003, 3.1456, 0.0027, 3.1455, 0.0081, 1.5317, 0.0039000000000000003, 3.1470000000000002, 0.0034000000000000002, 3.1459, 0.0037, 0.1423, 0.0014, 0.008700000000000001, 0.0047, 0.008, 0.005200000000000001, 0.0... | 3.5 * (Z(0) @ 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(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 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(7) @ Z(5)) + 3.5 * (Z(7) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
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[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16,
7,
16.5,
20.5,
13,
10.5,
13.5,
1
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
c3bf44cd77c1dba6224f98be8925cc65 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 1791], "expectation_value": -12.6261836976727, "params": [0.0176, 2.2837, 0.026000000000000002, 0.0016, -0.10650000000000001, 1.5401, 0.7873, 0.0098, 0.1824, 2.5399000000000003, 0.3622, 0.006, -0.6138, 1.5935000000000001, -0.5923, 0.0013000000000000002, -0.8691000000000001, 0.9678, 0.1724, 0.0059, 0.8689... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["00100000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.05211581626721998) q[0];
rz(-2.620076068514015) q[0];
rx(-0.4434268334138529) q[1];
rz(1.8566829662716167) q[1];
rx(0.2877464366082255) q[2];
rz(-1.4225812227780814) q[2];
rx(-0.3480326877871256) q[3];
rz(-1.621441461867688) q[3];
rx(-0.5998495568235529) 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[... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIII... | [
-2,
0.5,
-2,
0.5,
-2,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971088 | [
-0.05211581626721997,
2.0923129118706747,
-0.4434268334138529,
0.2858866394767198,
0.2877464366082256,
3.289807757606609,
-0.34803268778712565,
3.0909475185170017,
-0.599849556823553,
2.2466080202941656,
3.0276724181155688,
0.6610168502241384,
3.164989348506078,
1.506043597769455,
-0.147... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 454 |
95b1142ae8d79cc944e68dc71d440182 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [0, 1], "expectation_value": -6.019694109854037, "params": [[[0.0015, 0.009000000000000001], [0.0023, 0.0089], [0.0025, 0.0045000000000000005], [-0.0027, 0.0012000000000000001], [0.0026000000000000003, 0.0041], [1.6103, 0.0025]]], "bitstrings": ["111111", "111110"], "total_optimization_steps": 160, "probabil... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000", "111110", "110000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7452102939404112) q[0];
ry(-0.29282599220256483) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7800172314783907) q[2];
h q[3];
h q[4];
ry(0.8044577856235101) q[4];
cx q[3], q[4];
ry(-0.8044577856235101) q[4];
cx q[3], q[4];
ry(1.2080582990283706) q[3];
ry(0.48108184132... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IZZIII",
"IZIZII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IZIIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-2.75,
-1,
-0.5,
0.25,
-0.25,
0.25,
-0.25,
-1.25,
1.25
] | 0.974145 | [
1.6089155712470202,
1.0304510352944072,
0.4810818413241434,
0.3552145274679267,
1.5600344629567815,
1.6286797946394622,
-1.4904205878808223,
-1.2881797724217239,
-0.016202039678616637,
0.011782440981039097,
0.020418875658783947,
0.006648626917140368,
-0.03701390813287764,
-0.02840884860849... | {
"n_parameters": 22,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 2 |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [14, 26], "expectation_value": -0.07960083591479408, "params": [[-0.0847], [0.07730000000000001]], "bitstrings": ["110001", "100101"], "total_optimization_steps": 10, "probabilities": [0.017276666139259586, 0.017276666139259593], "optimization_time": 2.411858081817627} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
47cc3572ddac8db9cfe3d2e2cd09f1ef | 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": 5, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 7}, {"capacity": 5, "source": 2, "target": 6}, {"capac... | {"states": [512, 511], "expectation_value": -16.760234253263093, "params": [[[0.0047, -0.0854], [0.0033, 0.003], [0.0097, 0.002], [0.0068000000000000005, 0.002], [0.0055000000000000005, 0.0022], [-0.0041, 0.0026000000000000003], [0.0079, -0.0024000000000000002], [-0.0031000000000000003, -0.0025], [0.006500000000000001,... | -1.25 * (Z(0) @ Z(7)) + -3.0 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(8) @ Z(3)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-17.5, -17.5, -17.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.5, "smallest_bitstrings": ["1000000000", "1000001000", "1010001000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.05534882709090598) q[0];
ry(0.02576085821657424) q[1];
ry(-0.34106514198653937) q[2];
ry(0.11172790610799532) q[3];
ry(-0.21669655359594428) q[4];
ry(0.07199523814895067) q[5];
ry(0.0416747019803442) q[6];
ry(0.1826732357080143) q[7];
ry(-0.16592087373534245) 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": []} | [
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIIZIIIZII",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIZIIZIII",
"IIZIZIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IZIIIIZIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IZIIIZIIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"ZIIIIZIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI"... | [
-1.25,
-3,
-1.25,
-0.75,
-0.5,
-1.25,
-1.25,
-0.5,
-0.5,
-1.5,
-1.25,
-1.5,
-0.75,
-0.25,
1.5,
-1.5,
-1,
2,
-0.25,
-2,
-2.5,
0.75,
3,
-0.5,
-0.25,
0.75,
-1
] | 0.970534 | [
-0.05534882709090598,
0.02576085821657424,
-0.34106514198653937,
0.11172790610799532,
-0.21669655359594428,
0.07199523814895067,
0.0416747019803442,
0.1826732357080143,
-0.16592087373534245,
1.9840142728103631,
0.0013079875473395002,
-0.047728546749526216,
0.0026127768649447897,
0.00637891... | {
"n_parameters": 34,
"n_qubits": 10,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 44 |
e9c462a1bd32b66e47c042d7665c8b8c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [682, 683], "expectation_value": -1.9923660105377097, "params": [[0.8481000000000001, 0.2846, 1.5017, 0.0033, 1.4979, 0.4314, 1.4973, 0.6885, 0.9409000000000001, 0.7177], [1.5081, 0.6666000000000001, 1.4918, 0.0014, 1.4963, 1.135, 1.466, 0.2909, 1.5018, 1.5058]], "bitstrings": ["0101010101", "0101010100"], "... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ Z(6) @ Z(7)) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["0101100010", "0101000101", "0101001010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3237246402573668) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.3237246402573668) q[2];
cx q[0], q[2];
h q[3];
cx q[2], q[3];
rz(-0.3237246402573668) q[3];
cx q[2], q[3];
h q[4];
cx q[2], q[4];
rz(-0.3237246402573668) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIIZZIIZI",
"IIIZIZIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIZZIZIIII",
"IIIZZIIIII",
"IZIIZIIIII",
"ZIIIZIIIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IZIZZIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
0,
0,
-0.5,
0,
0.125,
0.125,
0,
0.125,
-0.... | 0.758794 | [
-0.3237246402573668,
0.3064564205300012,
0.4767277367358957,
1.0302840191842209,
1.0004734609527248,
-0.8962179999409403,
0.4671267464310068,
1.0855195917621498,
1.735602026922614,
0.4821524963075305
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 270 |
fdd193cb015e57ef85d2ae5c4eb54ede | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [16, 80], "expectation_value": -4.013497749022705, "params": [[[1.6212, 0.0023], [0.0023, 0.00030000000000000003], [1.6926, 0.0043], [-0.0032, 0.0025], [1.5177, 0.0025], [-0.004200000000000001, 0.0001], [1.369, 0.006200000000000001]]], "bitstrings": ["1101111", "0101111"], "total_optimization_steps": 170, "p... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111010", "1101011", "0111101", "0111110", "0101111", "1110011", "1001111", "1011101"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07570942245496524) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.07570942245496524) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.07570942245496524) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.07570942245496524) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIZIII",
"IIIZZII",
"ZIIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1,
-1.5,
-1,
-1.5
] | 0.970736 | [
0.07570942245496524,
-1.1207471745353512,
-0.2307855789221866,
-1.2240404964433413,
-1.2523499073318871,
0.6384391318483287,
-0.8265045417678176,
-0.6678735821875842,
-2.1284699588688407,
-0.30330827614393213,
0.5683998775361413,
-2.4878442729812242,
-1.3799902050266712,
-1.836426382423593... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 122 |
-395119201106338464 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 6], [8, 5], [1, 7], [0, 2, 5], [8, 0, 3], [1, 2, 6], [0, 3, 5], [0, 4, 7], [3, 4], [0, 8, 6], [1, 3], [0, 4, 5]]} | {"states": [110, 465], "expectation_value": -0.07826330255091883, "params": [[0.061900000000000004], [-0.049300000000000004]], "bitstrings": ["110010001", "000101110"], "total_optimization_steps": 10, "probabilities": [0.0021146498067852963, 0.0021410554445694435], "optimization_time": 3.491267442703247} | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.3333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000101110"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(0.11662015104523987) q[8];
cx q[2], q[8];
cx q[2], q[6];
rz(0.20033319855394313) q[6];
cx q[2], q[6];
cx q[2], q[5];
rz(0.11662015104523987) q[5];
cx q[2], q[5];
cx q[2], q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(x0) q[8];
cx q[2], q[8];
cx q[2], q[6];
rz(x1) q[6];
cx q[2], q[6];
cx... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIIIIIZZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"ZIIIIZIII",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZZIIII",
"IZIIZIIII",
"IIIIZIIIZ",
"IIIIZZIII",
"... | [
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333... | 0.4774 | [
0.11662015104523987,
0.20033319855394313,
0.6931775595953702,
1.1283192170856498,
-0.7796731407712275
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333333,
"target_ratio": 0.97,
"target_value": -4.203333333333333
} | 152 |
d1a7b7cf714c6ef8e95d1c5632642a08 | 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": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": ... | {"states": [1023, 959], "expectation_value": -0.4170800884976317, "params": [[0.058300000000000005], [-0.0472]], "bitstrings": ["0000000000", "0001000000"], "total_optimization_steps": 10, "probabilities": [0.0011964233974583447, 0.0012096422481602293], "optimization_time": 1.667301893234253} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + -2.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5... | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["0001000000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.6594434473268916) q[0];
rz(2.4281580670868266) q[0];
rx(-0.1314305132701061) q[1];
rz(2.688737749938543) q[1];
rx(0.21738323931720602) q[2];
rz(2.42959789534798) q[2];
rx(0.05597814352993894) q[3];
rz(1.769410372235825) q[3];
rx(-1.409247516446352) q[4];
rz(2.763... | 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[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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[6], q[4];
... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII"... | [
-1,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.924408 | [
-0.6594434473268918,
0.8573617402919295,
-0.13143051327010608,
1.117941423143645,
0.21738323931720602,
0.858801568553084,
0.05597814352993894,
0.19861404544092898,
-1.409247516446352,
1.1928817521818944,
-0.5334353707557503,
1.0263500870205093,
-1.2542149501203599,
0.7407077702430986,
-0... | {
"n_parameters": 199,
"n_qubits": 10,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 500 |
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