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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2216400382807332953 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2, 3, 5, 6, 7, 8, 9], [1, 2], [0, 4]]} | {"states": [511, 383], "expectation_value": -0.2478828666063641, "params": [0.6431, 0.6452, 0.9917, 0.8579, 0.6306, 0.761, 1.0014, 0.9974000000000001, 0.9900000000000001, 0.9421, 1.0004, 0.9952000000000001, 1.0018, 0.9952000000000001, 1.0026000000000002, 1.0015, 0.9935, 1.0001, 0.9965, 1.0004, 0.5619000000000001, 0.965... | 0.017857142857142856 * (Z(0) @ Z(2)) + 0.017857142857142856 * (Z(3) @ Z(2)) + 0.017857142857142856 * (Z(3) @ Z(0)) + 0.017857142857142856 * (Z(5) @ Z(2)) + 0.017857142857142856 * (Z(5) @ Z(0)) + 0.017857142857142856 * (Z(5) @ Z(3)) + 0.017857142857142856 * (Z(6) @ Z(2)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.017857... | 14 | 10 | 1 | {"smallest_eigenvalues": [-1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.36152613692895763) q[0];
rz(pi/2) q[0];
ry(1.853745327131247) q[1];
ry(-0.008738830679534182) q[2];
ry(1.6350045812283007) q[3];
ry(1.4625767461146548) q[4];
ry(1.490465029746477) q[5];
ry(1.2067482184609348) q[6];
ry(1.96628204159738) q[7];
ry(0.9451109958442181... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIZIIZII",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIZII",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IZIIZIIIII",
"IZIZIIIIII"... | [
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.01... | 0.973048 | [
-0.36152613692895763,
1.853745327131247,
-0.008738830679534182,
1.6350045812283007,
1.4625767461146548,
1.490465029746477,
1.2067482184609348,
1.96628204159738,
0.9451109958442181,
1.1955931818700498,
0.020937682800972662,
1.8816083129004515,
0.9620841713168542,
0.7473706121758252,
1.104... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -1.1785714285714286,
"target_ratio": 0.97,
"target_value": -1.1432142857142857
} | 49 |
-6646672814995565532 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4], [1, 3], [3, 4], [3, 5, 6], [2, 3], [0, 2, 6]]} | {"states": [59, 55], "expectation_value": -2.15923956003025, "params": null, "bitstrings": ["1000100", "1001000"], "total_optimization_steps": 43, "probabilities": [0.045173370831258455, 0.8779296618126434], "optimization_time": 55.40245509147644} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0833333333333335, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 4.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5030168563674892) q[0];
h q[1];
ry(0.7220043771682972) q[1];
h q[2];
h q[3];
ry(-0.0970843250503563) q[3];
h q[4];
cx q[4], q[3];
ry(0.0970843250503563) q[3];
cx q[4], q[3];
ry(-0.14152093544285776) q[3];
cx q[2], q[3];
ry(0.14152093544285776) q[3];
cx q[2... | 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(1.2292) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.125,
0.29166666666666663,
0.29166666666666663,
0.... | 0.984315 | [
1.23538907648185,
-0.1941686501007126,
0.8828440243023016,
-0.28304187088571553,
1.5247725651872845,
1.4440087543365945,
-0.6582561279609095,
0.5425042288887563,
-1.0060337127349783,
0.19990072785397092,
0.6262651084820339,
-0.1867130242018144,
-0.05940340604711475,
-0.3052032107293161,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -2.4166666666666665,
"target_ratio": 0.97,
"target_value": -2.3441666666666663
} | 17 |
5453c2513a3015ff34fdf7af0c17d479 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [21, 7], "expectation_value": -12.49929898053237, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10660517640631754, 0.613859001512618], "optimization_time": 82.48994994163513} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 7 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) q[3];
cx q[... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
629504279f468411145abc8bbc01a7ac | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [63, 31], "expectation_value": -1.0906566643838493, "params": [[-0.0692], [0.0656]], "bitstrings": ["111000000", "111100000"], "total_optimization_steps": 10, "probabilities": [0.0029198934126994746, 0.0029883332687531], "optimization_time": 0.7065582275390625} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.06512480167237142) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-4.490808688288129e-05) q[1];
rz(-pi) q[2];
ry(-0.00027066480360059557) q[2];
ry(-0.0016896575177686756) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4528111153941428) q[4];
h q[5];
cx q[5], q[4];
ry(-1.4528111153941428)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2.5,
1,
-2.5,
0.5,
-2.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-2,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.957143 | [
-1.3363076832325405,
-1.570905401671658,
-1.570972202207229,
1.5706891228555626,
1.7564891971126506,
1.2310696188078234,
-0.00032317985367866226,
2.9056222307882855,
3.169653584954397,
-1.5706331160630937,
1.3850608960466344,
-1.5691539914602928,
0.00012000868569318898,
0.00012786219450783... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
9915ff93784d747e82bcd9a73a2399e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [12, 3], "expectation_value": -1.7417535367918893, "params": [[0.07690000000000001], [-0.0736]], "bitstrings": ["10011", "11100"], "total_optimization_steps": 10, "probabilities": [0.03968517387600571, 0.040406243931674454], "optimization_time": 1.632763385772705} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
3d627635058abf5b6bb9c53f69a1c86d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 3, "target":... | {"states": [0, 511], "expectation_value": -22.626547605858924, "params": [[[0.0022, 1.607], [0.0016, 0.0022], [0.0017000000000000001, 0.0018000000000000002], [0.0021000000000000003, 0.0016], [0.0025, 0.0022], [0.0016, 0.002], [0.0021000000000000003, 0.0019], [0.0015, 0.0019], [0.0024000000000000002, 0.0023]]], "bitstri... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(6)) + -3.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(4)) + 0.... | 15 | 9 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1398176200223498) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.3319500365686569) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3319500365686574) q[1];
rx(1.0443828489871696) q[1];
rz(1.1398176200223498) q[2];
cx q[0], q[2];
rz(0.331950... | OPENQASM 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[9] c;
qubit[9] q;
ry(x0) q[0];
ry(x1... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIZIZIIII",
"IIZIIZIII",
"IZIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-1.5,
0.5,
-1.5,
-3.5,
-3.5,
-2,
-3.5,
-2,
-2,
-3.5,
0.5,
0.5,
0.5,
-3.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
1,
1,
1,
1,
1
] | 0.562351 | [
1.1398176200223498,
0.3319500365686569,
0.5835460342127498,
0.6613740611221639,
-0.15588570491585693,
-0.3429066033154878,
1.0443828489871694
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 185 |
-2049733962479136978 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2], [9, 2], [0, 9], [3, 7], [4, 7], [8, 5], [3, 6], [10, 3], [11, 6], [0, 12]]} | {"states": [1931, 2955], "expectation_value": -4.482862812344432, "params": [-0.0023, 1.1307, -0.0022, 0.0002, 0.9860000000000001, -0.0027, 1.6134000000000002, -0.0021000000000000003, 0.861, 0.6015, 0.8619, 0.0016, 1.6095000000000002, -0.07970000000000001, 1.083, -0.098, 1.5754000000000001, -0.0021000000000000003, 1.57... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(12) @ Z(0)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(9) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * ... | 8 | 13 | 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": ["0100011101101", "1010001110100", "1011100010010", "1011110000010", "0101110001011", "0101100011011", "1010011100100", "0100001111101"], "largest_eigenval... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.0015168110979054683) q[0];
rz(2.6927472902801384) q[0];
rx(1.2007172431366548) q[1];
rz(-0.11292072384075624) q[1];
cx q[1], q[0];
ry(-0.062067205766788314) q[0];
cx q[1], q[0];
ry(0.010274111063551876) q[0];
rz(-1.5704902450045761) q[0];
rx(1.740435225908857) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZI",
"IIIZIIIIIIZII",
"IIIZIIIIIIIIZ",
"IIIIIZIIIZIII",
"IIIIIZIIZIIII",
"IIIIZIIZIIIII",
"IIIIIIZIIZIII",
"IIZIIIIIIZIII",
"IZIIIIZIIIIII",
"ZIIIIIIIIIIIZ",
"IIIIIIIIIIZII",
"IIIIIIIIIIIZI",
"IIIZIIIIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIZIIIIIII",
"IIIIIIIIIZIII",
"IIIIIIIIZII... | [
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
] | 0.970225 | [
0.0015168110979054683,
1.121950963485242,
1.2007172431366548,
-0.11292072384075624,
0.44112615317907655,
0.715565385647563,
1.553277700955759,
0.03574054522376095,
1.5432374112108393,
0.12413441153357663,
-0.014907827974211103,
1.5491921273340636,
-0.029590097070960344,
-0.6822049216942215... | {
"n_parameters": 56,
"n_qubits": 13,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 9 |
406f205c8f68e15d44cfdbce281f4c7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [37, 49], "expectation_value": -2.9965156243239575, "params": null, "bitstrings": ["011010", "001110"], "total_optimization_steps": 20, "probabilities": [0.06700894031405273, 0.9297461660320854], "optimization_time": 14.578934907913208} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
0,
-1,
-0.5
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 1], "expectation_value": -38.1179087879445, "params": [[[-0.0083, -0.2228], [-0.004, -0.2267], [0.0012000000000000001, 0.25120000000000003], [-0.0014, -0.18680000000000002], [-0.0014, 0.2559], [0.40990000000000004, -0.0008]], [[-0.0055000000000000005, -0.22840000000000002], [-0.0051, -0.2258], [-0.003400... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 1 | 6 | 4 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
2.75,
-13,
-13,
-13.25,
-13,
-13.25,
-12.5
] | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
ba18230f0a2665f8e2b66e24ba5d7b4e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"we... | {"states": [5482, 9578], "expectation_value": -0.2283160125092329, "params": [[-0.29000000000000004], [0.2816]], "bitstrings": ["10101010010101", "01101010010101"], "total_optimization_steps": 30, "probabilities": [0.00014495188587623566, 0.00014495188587623566], "optimization_time": 21.281343460083008} | 0.25 * (Z(0) @ Z(1)) + -0.00026041666666666666 * (Z(2) @ Z(0)) + -0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00026041666666666666 * (Z(4) @ Z(0)) + -0.0006510416666666666 * (Z(4) @ Z(2)) + -0.00026041666666666666 * (Z(5) @ Z(1)) + -0.0006510416666666666 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -... | 1 | 14 | 1 | {"smallest_eigenvalues": [-1.7648437499999916], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7648437499999912, "smallest_bitstrings": ["01101010010101"], "largest_eigenvalue": 1.7570312499999807} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.6646149208686252) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.06391564158890717) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06391564158890717) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.6646149208686252) q[3];
cx q[2], 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;
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[1], q[0];
rz(x0) ... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZZII",
"IIIIIIIIIZIIIZ",
"IIIIIIIIIZIZII",
"IIIIIIIIZIIIZI",
"IIIIIIIIZIZIII",
"IIIIIIIIZZIIII",
"IIIIIIIZIIIIIZ",
"IIIIIIIZIIIZII",
"IIIIIIIZIZIIII",
"IIIIIIZIIIIIZI",
"IIIIIIZIIIZIII",
"IIIIIIZIZIIIII",
"IIIIIIZZIIIIII"... | [
0.25,
-0.00026041666666666666,
-0.00026041666666666666,
0.25,
-0.00026041666666666666,
-0.0006510416666666666,
-0.00026041666666666666,
-0.0006510416666666666,
0.25,
-0.00026041666666666666,
-0.0006510416666666666,
-0.0006510416666666666,
-0.00026041666666666666,
-0.0006510416666666666,
... | 0.975291 | [
-1.6646149208686252,
0.06391564158890717,
-0.05371129682260552,
-0.009273169332093475,
0.09466862297166002,
0.7588269052132095
] | {
"n_parameters": 6,
"n_qubits": 14,
"optimal_eigenvalue": -1.7648437499999916,
"target_ratio": 0.97,
"target_value": -1.7118984374999917
} | 24 |
-1477246944376182267 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 5, 9, 12], [1, 4, 5, 9, 11], [3, 6], [0, 3, 4, 7], [12, 6], [2, 11, 6], [2, 11, 5], [8, 0, 4, 5], [10, 12], [8, 12], [0, 11, 3, 4], [9, 2, 6], [8, 6], [0, 9, 7], [0, 4, 5, 7, 11], [3, 4, 5, 7], [11, 4, 6], [1, 10, 4, 6], [0, 2, 3, 5, 7], [11, 1... | {"states": [8033, 1982], "expectation_value": -4.443373615653838, "params": [[0.2758], [-0.2792]], "bitstrings": ["0000010011110", "1100001000001"], "total_optimization_steps": 30, "probabilities": [0.0010915495392653117, 0.001259210647604087], "optimization_time": 56.45123267173767} | 0.23333333333333334 * (Z(0) @ Z(2)) + 0.31666666666666665 * (Z(5) @ Z(2)) + 0.2833333333333333 * (Z(5) @ Z(0)) + 0.3 * (Z(9) @ Z(2)) + 0.21666666666666667 * (Z(9) @ Z(0)) + 0.1 * (Z(9) @ Z(5)) + 0.18333333333333335 * (Z(12) @ Z(2)) + 0.1 * (Z(12) @ Z(0)) + 0.35 * (Z(12) @ Z(5)) + 0.05 * (Z(12) @ Z(9)) + 0.1333333333333... | 1 | 13 | 1 | {"smallest_eigenvalues": [-8.133333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.800000000000001, "smallest_bitstrings": ["1100001000001"], "largest_eigenvalue": 32.49999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(3.307193589762172e-05) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(5.258985878077034e-05) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(2.694395524512345e-05) q[5];
cx q[0], q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIIIIZ",
"IIIZIIIIIIZII",
"IIIZIIIIIIIIZ",
"IIIZIIIZIIIII",
"ZIIIIIIIIIZII",
"ZIIIIIIIIIIIZ",
"ZIIIIIIZIIIII",
"ZIIZIIIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIZIIIIIIIZI",
"ZIIIIIIIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIIZII... | [
0.23333333333333334,
0.31666666666666665,
0.2833333333333333,
0.3,
0.21666666666666667,
0.1,
0.18333333333333335,
0.1,
0.35,
0.05,
0.13333333333333333,
0.05,
0.26666666666666666,
0.3,
0.05,
0.08333333333333333,
0.3,
0.26666666666666666,
0.13333333333333333,
0.16666666666666666,... | 0.901855 | [
0.00003307193589762172,
0.00005258985878077034,
0.00002694395524512345,
0.00003252143983238764,
0.000015386207450556446,
-0.000028290155049201256,
0.00001078945027286258,
0.00004605321077358638,
0.0000031520750825952006,
-0.000009105246804067074,
0.000012710792963177683,
-0.0000011957122122905... | {
"n_parameters": 32,
"n_qubits": 13,
"optimal_eigenvalue": -8.133333333333335,
"target_ratio": 0.97,
"target_value": -7.889333333333334
} | 500 |
24e9c86cfdb3e8240ca21f54feb2ae3f | 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": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 12, "source": 1, "tar... | {"states": [249, 244], "expectation_value": -18.607733444497434, "params": [[0.042100000000000005, 0.0078000000000000005], [-0.0795, -0.0511]], "bitstrings": ["100000110", "100001011"], "total_optimization_steps": 10, "probabilities": [0.006320028187036902, 0.00835113375429762], "optimization_time": 3.629237413406372} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1178989666848208) q[0];
rz(-1.3114878748394567) q[0];
rx(3.429660772059215) q[1];
rz(1.9519683519629236) q[1];
rx(3.2428870245089425) q[2];
rz(0.30989050063345075) q[2];
rx(0.07615240872314868) q[3];
rz(-1.4919322889468147) q[3];
rx(-0.2292526277419854) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
12,
17,
17.5,
15,
2,
14.5,
2.5,
2
] | 0.981831 | [
0.1178989666848208,
-1.3114878748394567,
3.429660772059215,
1.9519683519629236,
3.2428870245089425,
0.30989050063345075,
0.07615240872314868,
-1.4919322889468147,
-0.2292526277419854,
0.323037351350365,
0.025479403557775504,
0.6535127034426061,
3.2061650365182963,
1.4357872245650392,
3.3... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 27 |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [63, 9], "expectation_value": -0.40135414227080485, "params": [[0.0439, 0.031100000000000003, 0.0307, -0.0543], [-0.0473, -0.0339, -0.040600000000000004, -0.005]], "bitstrings": ["1000000", "1110110"], "total_optimization_steps": 10, "probabilities": [0.009621678138821406, 0.009722043149729903], "optimizatio... | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000100", "1000000", "1010100", "1010000", "1100100", "1100000", "1110110", "1110100", "1110000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7202482055888763) q[0];
h q[1];
h q[2];
h q[3];
ry(0.6763684963105008) q[3];
h q[4];
h q[5];
ry(1.544949320168152) q[5];
h q[6];
ry(0.7842758172411688) q[6];
cx q[5], q[6];
ry(-0.7842758172411688) q[6];
cx q[5], q[6];
cx q[6], q[0];
ry(0.7202482055888763) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
1.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
0,
0.25,
-0.5,
-0.5,
-0.5
] | 0.997887 | [
1.544949320168152,
1.5685516344823376,
-1.4404964111777525,
1.3527369926210016,
-0.21987719305568587,
0.09712159271413541,
0.06523432631452608,
-0.047813366282852085
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
1dcb3c744ddd55658248ce3c7196418c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.999034517279257, "params": null, "bitstrings": ["111", "001"], "total_optimization_steps": 10, "probabilities": [0.24898403254091542, 0.7500163616612541], "optimization_time": 2.5593764781951904} | -1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2) | 5 | 3 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(1.5486) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(1.5486) q[1], q[0];\... | [
"IZZ",
"IZI",
"IIZ",
"ZII"
] | [
-1,
0.5,
0.5,
-0.5
] | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
d7c6790c5da24a95b7d7ccc603696be1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3819, 3811], "expectation_value": -2.2840031424478413, "params": [[[1.0006000000000002, 0.0033], [1.0063, 0.0011], [1.0015, 0.002], [0.0024000000000000002, 0.7316], [1.0011, 0.001], [1.0001, -0.0033], [1.0018, 0.0024000000000000002], [0.5456, -0.23720000000000002], [0.7511, 0.1275], [-0.0016, 0.0142], [1.00... | 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 * (... | 1 | 12 | 2 | {"smallest_eigenvalues": [-5.1875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.1875, "smallest_bitstrings": ["000100011100"], "largest_eigenvalue": 6.8125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(-2.042576511166878) q[0];
ry(2.9516185610359154) q[0];
rz(0.9781812174355657) q[0];
rz(-0.7595970554423728) q[1];
ry(2.9344144666440464) q[1];
rz(2.0332187945667615) q[1];
rz(2.129448041129489) q[2];
ry(2.8498789489908316) q[2];
rz(-0.012973239456647967) q[2];
rz(-1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZI... | [
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... | 0.970928 | [
2.0007015295531945,
0.08890450790596802,
1.5831877681804842,
-0.1509953414846304,
1.779806099617345,
0.17032497022569815,
-0.08618477898821827,
0.007610363035226941,
1.3953517357996654,
0.3569678024150195,
1.6288887677370536,
0.06255476142738838,
1.6586728641093669,
0.03370624834174879,
... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -5.1875,
"target_ratio": 0.97,
"target_value": -5.031874999999999
} | 37 |
3683575ebfd194c5b56fac2355f5aada | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"s... | {"states": [8191, 8127], "expectation_value": -45.01665946484788, "params": [[[0.0028, 3.1602], [0.0019, 0.0025], [0.0019, 0.0019], [0.002, 0.002], [0.0021000000000000003, 0.002], [0.0021000000000000003, 0.002], [1.6075000000000002, 0.0021000000000000003], [-0.0027, -0.0022], [0.002, 0.0022], [0.0022, 0.002], [0.002, 0... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -3.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(7) @ Z(8)) + -3.0 * (Z(9) @ Z(8)) + -3.... | 15 | 13 | 1 | {"smallest_eigenvalues": [-45.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["0000001000000"], "largest_eigenvalue": 36.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.048949480181149384) q[0];
ry(-0.11313037049163079) q[1];
ry(-0.11313037049163079) q[2];
ry(-0.04595033866216764) q[3];
ry(0.022935973688817956) q[4];
ry(0.022935973688817956) q[5];
ry(1.6462349017868376) q[6];
ry(0.18311313216339967) q[7];
ry(-0.04595033866216764)... | 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[13] c;
qubit[13] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x1) q[2]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZZII",
"IIIIIIIIIZIZI",
"IIIIIIIIZIZII",
"IIIIIIIIZIIIZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZZIII",
"IIIIIIIZIIZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIZZIIIIIII",
"IIIZZIIIIIIII",
"IIIZIZIIIIIII",
"IIZIZIIIIIIII",
"IIZIIZIIIII... | [
-1.5,
0.5,
0.5,
-2,
-3,
0.5,
-2.5,
-2.5,
0.5,
1,
-2,
-2.5,
-3,
-3,
-3,
-3,
-2.5,
1.5,
2,
-3,
-3,
-3,
-3,
1.5,
-2.5,
1,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973709 | [
0.048949480181149384,
-0.11313037049163079,
-0.04595033866216764,
0.022935973688817956,
1.6462349017868376,
0.18311313216339967,
0.053682392801091765,
3.2131052268630693,
0.15552013631903233,
0.08590323726344548,
-0.11517532201699765
] | {
"n_parameters": 11,
"n_qubits": 13,
"optimal_eigenvalue": -45.5,
"target_ratio": 0.97,
"target_value": -44.135
} | 1 |
c5d64ed1606b01b0449fbdbfaa48958e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [26, 50], "expectation_value": -4.4963979689815075, "params": null, "bitstrings": ["1100101", "1001101"], "total_optimization_steps": 29, "probabilities": [0.06635229782607112, 0.9303266216078082], "optimization_time": 22.377490758895874} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "1001101", "0111010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.1549721848291327) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(1.492760804569908) q[2];
h q[3];
ry(-0.44016084752831497) q[3];
cx q[1], q[3];
ry(0.44016084752831497) q[3];
cx q[1], q[3];
ry(0.8936963047981609) q[1];
ry(-0.5255148306806048) q[3];
h q[4];
ry(-1.5627506543... | 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", ... | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIZIIZI",
"ZZIIIII",
"ZIIZIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1,
-1,
-1.5,
-1
] | 0.995333 | [
-1.5627506543770027,
-1.6426853524511658,
-1.259998280348624,
1.492760804569908,
-0.8803216950566299,
0.5985232422840356,
-0.31165172323427953,
-0.3767145391135873,
0.5903461250282505,
-0.29760058313403503,
0.20451498588347222,
-0.30673651465012075,
-0.02234127085458512,
0.0993486788775276... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [47084, 47085], "expectation_value": -14.83535586330638, "params": [0.3755, 0.022600000000000002, 0.36150000000000004, 0.0161, 0.4053, -0.0567, 0.52, -0.019100000000000002, 0.3846, -0.0426, 0.3886, -0.019100000000000002, 0.5347000000000001, -0.022600000000000002, 0.5017, 0.0025, 0.5382, -0.0189, 0.5508000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 6 | 16 | 2 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"], "largest_eigenvalue": 56.000000000000206} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"start_node": 0, "end_node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970515 | [
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 |
97690acb82c0402f98f7c130116979d7 | 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": [938, 426], "expectation_value": -85.14088917188394, "params": [[[0.5925, 0.4263], [0.5567, 0.5124000000000001], [0.6011000000000001, 0.43520000000000003], [0.0263, 0.38480000000000003], [0.5955, 0.4539], [0.32170000000000004, 0.5105000000000001], [0.5879, 0.5223], [0.0673, 0.5958], [0.1759, 0.399], [0.38530... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(9) @ Z(2)) + 6.0 * (Z(9) @ Z(6)) + 6.0 * (Z(9) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-123.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.0, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 202.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.378576982425365) q[0];
ry(0.08252492676282061) q[1];
ry(0.8307258029501049) q[2];
ry(0.18552350807412724) q[3];
ry(0.8281602378840363) q[4];
ry(0.06446866648688844) q[5];
ry(1.5386008328601941) q[6];
ry(-0.14072299228285023) q[7];
ry(-0.662551818324787) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IIIIZZIIII",
"IZIIIIIZII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIIZIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
28,
14.5,
1,
26,
14.5,
-5,
8.5,
19.5,
-5,
10
] | 0.970448 | [
1.378576982425365,
0.08252492676282061,
0.8307258029501049,
0.18552350807412724,
0.8281602378840363,
0.06446866648688844,
1.5386008328601941,
-0.14072299228285023,
-0.662551818324787,
0.1563963545661112,
0.25512799906324696,
0.3415909866051283,
0.09524605679114709,
0.24073119022781028,
0... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -123,
"target_ratio": 0.97,
"target_value": -119.31
} | 73 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [6, 7], "expectation_value": -0.300768978195995, "params": [[[1.3926, 0.0061], [1.3856000000000002, 0.0004], [1.3908, 0.009600000000000001], [1.6007, 0.0063], [1.6053000000000002, 0.0058000000000000005], [1.5971000000000002, 0.0047]]], "bitstrings": ["111001", "111000"], "total_optimization_steps": 160, "pro... | 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)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
2768668254746075286 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 2, 3, 6], [0, 1, 2, 4, 6], [4, 5, 6], [0, 1, 4, 5], [1, 2, 4, 5], [3, 5], [0, 2, 4, 5]]} | {"states": [71, 86], "expectation_value": -0.35753481387158764, "params": [[-0.1605], [0.1734]], "bitstrings": ["0111000", "0101001"], "total_optimization_steps": 20, "probabilities": [0.010517144768456355, 0.010703985746971019], "optimization_time": 2.5808615684509277} | 0.5 * (Z(3) @ Z(4)) + 0.21666666666666667 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0333333333333337, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.33121764126582226) q[1];
ry(-2.6871214183231222) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.4076346561731692) q[3];
h q[4];
ry(1.5961390185210005) q[4];
h q[5];
cx q[5], q[3];
ry(0.4076346561731692) q[3];
cx q[5], q[3];
ry(-0.32309207047533334) q[3];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} | [
"IIZZIII",
"IIZIIIZ",
"IIIZIIZ",
"IIZIZII",
"IIIZZII",
"IIIIZIZ",
"ZIZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"IIIIIZZ",
"IIIIZZI",
"ZIIIIZI",
"IZZIIII",
"IZIZIII",
"IZIIIIZ",
"IZIIZII",
"ZZIIIII",
"IZIIIZI",
"IIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"ZII... | [
0.5,
0.21666666666666667,
0.08333333333333333,
0.21666666666666667,
0.08333333333333333,
0.21666666666666667,
0.21666666666666667,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.13333333333333333,
0.05,
0.41666666666666663,
0.... | 0.971421 | [
1.5961390185210005,
-0.8152693123463384,
1.0304157585850822,
-0.6461841409506667,
0.512467939862494,
0.9237324610218355,
-0.5664840987273465,
0.38518526101278067,
-0.6624352825316445,
-0.16411898472492364,
0.511697930210999,
-0.38536613642540235,
0.6118837510353883,
-0.5133715973720543,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -2.1999999999999997,
"target_ratio": 0.97,
"target_value": -2.134
} | 13 |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 50], "expectation_value": -3.996515641776755, "params": null, "bitstrings": ["001011", "001101"], "total_optimization_steps": 22, "probabilities": [0.06700895329531315, 0.9297461640992837], "optimization_time": 17.81566834449768} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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",
"IIIZZI",
"ZIIZII",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5
] | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
91fd701868951eab612ba86420778b2e | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [202, 170], "expectation_value": -2.226178988836006, "params": [0.8965000000000001, -0.1517, 0.6177, -0.3461, 0.6218, -0.3114, -0.0026000000000000003, -0.6556000000000001, 0.9025000000000001, 0.0028, -0.0021000000000000003, 0.6749, 0.9001, 0.18660000000000002, 0.2019, 0.3682, 0.8964000000000001, -0.209800000... | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(5... | 18 | 8 | 3 | {"smallest_eigenvalues": [-2.8125, -2.8125, -2.8125, -2.8125, -2.8125, -2.8125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.8125, "smallest_bitstrings": ["01010110", "00110101", "01010101", "10010101", "00111100", "01110100"], "largest_eigenvalue": 5.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IIZIZIII",
"IZIZIIII",
"IIZZIIII",
"IZZIIIII",
"IIIZZIIZ",
"IZIIZIIZ",
"IIZIZIIZ",
"IZIZIIIZ",
"IIZZIIIZ",
"IZZIIIIZ",
"IZIZZIII",
"IIZZZIII",
"IZZIZII... | [
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,
0.25,
0.25... | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
5d77695e4765aaacbc8344fcd74f02b0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"sour... | {"states": [0, 207], "expectation_value": -5.745568732419777, "params": [0.0346, -0.0013000000000000002, -0.0022, 0.0017000000000000001, 0.7018, -0.0029000000000000002, 0.7024, 0.0064, 0.7125, 0.0047, 0.7052, 0.0081, 0.2275, -0.0008, 0.0332, 0.0053, 0.6946, -0.0017000000000000001, 0.1434, 0.007500000000000001, 0.7038, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + -0.5 * Z(1) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100110000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.16127153103768763) q[0];
rz(1.9356562351296223) q[0];
rx(1.78922508853603) q[1];
rz(1.8518933798422381) q[1];
rx(1.4579171283046046) q[2];
rz(1.8876365431496316) q[2];
rx(0.30621497711806744) q[3];
rz(1.7103556352252642) q[3];
rx(0.5893048875447913) q[4];
rz(1.6385... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZIIIZIII",
"IIIIZZIII",
"IIIZZIIII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2.5,
-0.5,
-2.5,
-0.5,
0,
-1,
-1.5,
-0.5
] | 0.972522 | [
0.16127153103768768,
0.36485990833472537,
1.78922508853603,
0.28109705304734156,
1.4579171283046046,
0.3168402163547349,
0.30621497711806744,
0.13955930843036768,
0.5893048875447912,
0.06776447136159426,
2.2695970023508485,
0.39258611326755893,
1.5691073281652181,
0.07249197565819195,
1.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 134 |
989671246845749753 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 4, 6, 8, 9, 10], [0, 1, 2, 3, 7, 8, 10], [8, 9, 3, 7], [2, 3, 4, 5, 8, 9], [1, 2, 4, 8, 9], [0, 1, 3, 4, 6, 10], [0, 2, 4, 5, 8, 9, 10], [0, 2, 3, 4, 8, 9, 10], [3, 4, 5, 6, 7, 9, 10], [0, 3, 4, 5], [1, 2, 3, 5, 7, 8], [0, 4, 7, 8, 9, 10], [9, 10, 1, 7... | {"states": [1431, 1463], "expectation_value": -3.0840909771887186, "params": [[[2.6260000000000003, 0.0046], [1.5642, 0.0044], [2.5691, 0.0043], [2.6302000000000003, 0.0051], [1.5377, 0.0066], [1.576, 0.0085], [1.6084, 0.0018000000000000002], [1.53, 0.0001], [2.6216, 0.0013000000000000002], [2.6324, 0.0092], [2.6336, 0... | 0.18095238095238092 * (Z(0) @ Z(1)) + 0.20714285714285713 * (Z(4) @ Z(1)) + 0.38809523809523805 * (Z(4) @ Z(0)) + 0.16428571428571426 * (Z(6) @ Z(1)) + 0.09047619047619047 * (Z(6) @ Z(0)) + 0.1476190476190476 * (Z(6) @ Z(4)) + 0.25476190476190474 * (Z(8) @ Z(1)) + 0.17857142857142855 * (Z(8) @ Z(0)) + 0.238095238095238... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.2642857142857125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.2333333333333325, "smallest_bitstrings": ["01001001000"], "largest_eigenvalue": 21.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.9467107822261913) q[0];
rz(-1.2825677660257724) q[0];
rx(0.06351254644656268) q[1];
rz(0.22283158985593984) q[1];
rx(2.7973239757200434) q[2];
rz(-1.6610402415122767) q[2];
rx(3.025666622957215) q[3];
rz(0.6029552475689434) q[3];
rx(0.05802404125174508) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIZIIII",
"IIZIZIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIIZIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIIIIIZ",
"ZIIIIIZIIII",
"ZIIIZIIII... | [
0.18095238095238092,
0.20714285714285713,
0.38809523809523805,
0.16428571428571426,
0.09047619047619047,
0.1476190476190476,
0.25476190476190474,
0.17857142857142855,
0.23809523809523808,
0.047619047619047616,
0.18095238095238095,
0.1714285714285714,
0.2785714285714286,
0.13809523809523808... | 0.970912 | [
2.9467107822261913,
-1.2825677660257724,
0.06351254644656268,
0.22283158985593984,
2.7973239757200434,
-1.6610402415122767,
3.025666622957215,
0.6029552475689434,
0.05802404125174508,
0.3305931793438049,
3.07957044945567,
0.8799987173121835,
3.155872444248504,
1.2370787735414956,
0.44178... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -4.2642857142857125,
"target_ratio": 0.97,
"target_value": -4.136357142857141
} | 33 |
605742faa50c2e92c07356e058fd303f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [36, 20], "expectation_value": -3.4116331538123674, "params": null, "bitstrings": ["011011", "101011"], "total_optimization_steps": 17, "probabilities": [0.06012628465746276, 0.7888204776973939], "optimization_time": 11.960115909576416} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZZII",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-0.5,
-1
] | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
c0497b20d0e680cacc77174a13e8b8b4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [126, 118], "expectation_value": -59.675878547169724, "params": [1.4831, 0.006200000000000001, 2.8953, 0.0067, 2.8966000000000003, 0.0078000000000000005, 2.9075, 0.0066, 1.5107000000000002, 0.006200000000000001, 2.9017, 0.0097, 2.9050000000000002, 0.0051, 0.4776, 0.0045000000000000005, 0.0002, 0.0044, 0.0098... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 20.5 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
20.5,
7,
12.5,
6,
9.5,
14,
17,
1
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [11, 52], "expectation_value": -0.07620706631736293, "params": [[0.0443, 0.047900000000000005], [-0.039900000000000005, -0.041]], "bitstrings": ["110100", "001011"], "total_optimization_steps": 10, "probabilities": [0.01737716971636008, 0.01737716971636008], "optimization_time": 2.0721445083618164} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[4];
rz(x0) q[4];
c... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
a5d801628220de1570375cba0475a21a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [28, 92], "expectation_value": -5.253593040121975, "params": [0.0013000000000000002, -0.4136, 0.14, 0.16340000000000002, 0.8099000000000001, -0.0038, 0.0529, -0.34850000000000003, 0.7412000000000001, -0.0032, 0.8078000000000001, -0.0108, 0.8027000000000001, -0.015300000000000001, 0.3935, -0.1375, 0.4319, 0.1... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110100011", "110101010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.16209984142222134) q[0];
rz(1.2284668516706727) q[0];
rx(0.2619447721110608) q[1];
rz(1.614585099736269) q[1];
rx(1.2919556934176597) q[2];
rz(1.7777394762202334) q[2];
rx(0.07024442448043401) q[3];
rz(1.1067967900362472) q[3];
rx(0.9125791225972164) q[4];
rz(1.538... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIIIZZII",
"IIZIIZIII",
"ZIIIIZIII",
"IIIIIZIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2.5,
-1,
-0.5,
-1,
-1,
-1,
-1,
-1.5
] | 0.971242 | [
0.1620998414222213,
-0.34232947512422424,
0.2619447721110608,
0.043788772941372844,
1.2919556934176597,
0.20694314942533681,
0.07024442448043403,
-0.46399953675864997,
0.9125791225972164,
-0.03215510395985946,
0.7677437967131726,
0.018940897584960627,
1.2344719102580437,
-0.196644736289820... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
47be2e5609483aa2af8b49e696239f0f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [0, 4080], "expectation_value": -28.649539510233158, "params": [[[0.0027, 0.002], [0.0026000000000000003, 0.0004], [0.0027, 0.0008], [0.0023, 0.0031000000000000003], [0.002, 0.009600000000000001], [0.0021000000000000003, 0.0004], [0.0027, 0.0051], [1.6083, 0.0068000000000000005], [0.0028, 0.00130000000000000... | -2.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + -3.0 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + -2.0 ... | 2 | 12 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["000000001111"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.019357162044458788) q[0];
rz(0.050821620904447466) q[0];
rx(-0.24144748164190344) q[1];
rz(0.008633273422642323) q[1];
rx(0.019357162044458788) q[2];
rz(0.32866812273522056) q[2];
rx(0.004735815273247214) q[3];
rz(-0.16321011508066136) q[3];
rx(0.05082162090444746... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"IIIIIIIIZIZI",
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIIIZZI",
"IIIIZIIIZIII",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIZII",
"IIIIIZIIZIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIIZI",
"IIIIZZIII... | [
-2.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
-2,
-2,
-3,
0.5,
0.5,
-3.5,
0.5,
-2,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2
] | 0.980142 | [
0.019357162044458788,
0.050821620904447466,
-0.24144748164190344,
0.008633273422642323,
0.32866812273522056,
0.004735815273247214,
-0.16321011508066136,
0.15363289425226345,
0.04135280197514451,
0.009172305107927547,
2.8492559671077826,
0.18913578082673532,
0.09651074562230015,
0.069555173... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -32.5,
"target_ratio": 0.97,
"target_value": -31.525
} | 10 |
dd0fd296e5cefa508578d0a4d77f60d2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [1494, 2006], "expectation_value": -2.7041974879394464, "params": [[[-0.0027, -0.4273, 0.004200000000000001, 0.0048000000000000004], [0.5546, 0.0004, 0.5545, 0.0023], [-0.0741, -0.0027, 0.0012000000000000001, -0.004], [0.6903, -0.0043, 0.6940000000000001, 0.0002], [-0.30460000000000004, -0.0057, 0.0065000000... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 12 | 12 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_sma... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.04076935764168316) q[0];
rz(-0.731447427739578) q[0];
ry(0.5754459869108984) q[1];
rz(-0.13588178538991647) q[1];
cz q[1], q[0];
ry(0.04158159894234759) q[0];
rz(-0.650787686328218) q[0];
ry(0.8397051713722968) q[1];
ry(-0.014154591062583577) q[2];
rz(-0.04076935... | 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
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,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125... | 0.971168 | [
-0.04076935764168316,
-0.731447427739578,
0.5754459869108984,
-0.13588178538991647,
-0.014154591062583577,
1.6647853777365624,
0.0360647244302947,
-0.3987479606754137,
0.186324437403593,
0.610944299537157,
-0.05321255672610954,
-0.14895160169980046,
0.1953716337413735,
0.30972696112231635,... | {
"n_parameters": 126,
"n_qubits": 12,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 107 |
39c299614cdca1aeef06b4d05c46dd6e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [126, 1], "expectation_value": -0.6238753762387724, "params": [[0.055400000000000005, -0.0269, -0.0512], [-0.0599, -0.034800000000000005, 0.0308]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010051188719308837, 0.011298896718412322], "optimization_time": 4.29147... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7064181295083226) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.5297412730546158) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5297412730546158) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.17200761046108... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
2,
-0.25,
-1.25,
-1,
-0.25,
0.25,
-0.25,
-1.5,
2.25,
-0.75,
1.5,
-1.5
] | 0.970254 | [
-0.7064181295083226,
-0.5297412730546158,
-0.17200761046108173,
-0.6740578736102405,
0.8462304399433741,
-0.026248018073850438,
-2.2768178154757654,
-0.5136227084208217,
-2.491855359334902,
1.952256177134018,
-3.0458677864148798,
0.7066984414159515,
0.5264021877728264,
0.1704299764678417,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 230 |
6913e77a092e6b8e92c97148a6d379f5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [52, 54], "expectation_value": -1.5411554613816116, "params": [0.0021000000000000003, 0.5966, 0.8033, 0.0038, 0.8111, 0.005200000000000001, 0.5643, 0.09820000000000001, 0.8033, 0.010700000000000001, 0.7971, 0.006900000000000001, 0.0027, -0.4449, 0.0021000000000000003, 0.0079, 0.801, 0.0035, 0.811700000000000... | 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(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.... | 18 | 7 | 2 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001001"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IIZZIZI",
"IZIZIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZIZII",
"ZIZIZII",
"ZZIIZII",
"ZZZIIII",
"ZZZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.75,
0,
0.125,
-0.25,
0.125,
-0.125,
-0.625
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
24ec85ceb3f94374e977a871ddcf35bc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [28, 60], "expectation_value": -1.2065131145591073, "params": [0.002, -0.5867, 0.8034, 0.0031000000000000003, 0.8042, -0.0036000000000000003, 0.8042, -0.0028, 0.8057000000000001, 0.0907, 0.5614, 0.11460000000000001, 0.2914, -0.2529, 0.002, 0.0025, 0.8022, 0.0097, 0.8062, 0.0066, 0.8032, 0.0023, 0.80280000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 7 | 2 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000011"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIIZZZ",
"IIIZIZZ",
"IIIZZIZ",
"IIIZZZI",
"IIIZZZZ",
"IIZIIZI",
"IZIIIZI",
"IZZIIII",
"IZZIIZI",
"ZIIIZII",
"ZIZIIII",
"IZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.625,
0.125,
-0.125,
-0.125,
-0.25,
-0.25,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
dba6edf645eaaf1a507a17055e7164ef | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [52, 74], "expectation_value": -1.3907094832529114, "params": [[0.060200000000000004, 0.066, 0.075, 0.0719], [-0.0548, -0.054700000000000006, -0.0623, -0.055]], "bitstrings": ["1001011", "0110101"], "total_optimization_steps": 10, "probabilities": [0.01787755091740234, 0.018667717349410633], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001011", "1101001", "0110101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.1859007606528923) q[0];
rz(0.1277309969404848) q[0];
ry(0.6373581281621916) q[1];
rz(0.40391422363380924) q[1];
cx q[1], q[0];
ry(-0.3494780626691644) q[0];
rz(0.23269403163719315) q[0];
ry(0.4001222395678607) q[1];
rz(-0.2582472936170673) q[1];
ry(-0.025818624057... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZIIIZI",
"ZZIIIII",
"IIIZZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5
] | 0.974622 | [
0.1859007606528923,
0.1277309969404848,
0.6373581281621916,
0.40391422363380924,
-0.025818624057445873,
-1.2207959965169293,
-0.01719509851365882,
0.6672042623739143,
0.3535564440001057,
-0.14448587096729418,
-0.14265470491067128,
0.11653979094772494,
-0.26099188668928275,
0.50058431121305... | {
"n_parameters": 107,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 118 |
5096143430902867398 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 6], [3, 4], [8, 2, 3, 5], [1, 5], [0, 2, 6, 7], [1, 4, 6], [2, 4], [0, 4], [4, 5, 6], [8, 0, 3, 6], [1, 3], [2, 3, 7], [0, 3, 5, 6], [0, 2, 5], [8, 7]]} | {"states": [365, 366], "expectation_value": -4.0778400485174044, "params": null, "bitstrings": ["010010010", "010010001"], "total_optimization_steps": 66, "probabilities": [0.11846732870444117, 0.7652770217477239], "optimization_time": 151.04196333885193} | 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9166666666666656, "smallest_bitstrings": ["010010001"], "largest_eigenvalue": 12.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.3472719083706204) q[0];
h q[1];
ry(-0.6860803010307365) q[1];
h q[2];
ry(1.5767232312522623) q[2];
h q[3];
ry(1.5394597854502776) q[3];
h q[4];
ry(-0.7027688452929356) q[4];
cx q[2], q[4];
ry(0.7027688452929356) q[4];
cx q[2], q[4];
ry(-0.10076702228336856)... | 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(1.5626) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"ZIIIIIZII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIZIIZIII",
"IIIIZIZII",
"IIZIZIIII",
"IIIIZZIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"... | [
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0.16666666666666666,
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0.25,
0.1666666666666666... | 0.97737 | [
1.5361602076406344,
1.5767232312522623,
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1.5394597854502776,
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0.6709446980576826,
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-0.2889180168061089,
0.21346555692965716,
-0.059496006699233814,... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -4.166666666666665,
"target_ratio": 0.97,
"target_value": -4.041666666666665
} | 1 |
5bdb4f57734384bf2a68859dd05ed4fb | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [100, 108], "expectation_value": -1.5975029768553617, "params": [0.0055000000000000005, 0.0145, 0.798, 0.004, 0.8093, 0.0032, 0.0027, -0.4525, 0.7939, 0.0019, 0.8108000000000001, 0.0047, 0.6545000000000001, -0.0844, 0.6521, -0.0635, -0.0021000000000000003, 0.005, 0.7949, 0.0078000000000000005, 0.8003, 0.0022... | 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(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.12... | 16 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["11010010", "10010011", "10011001"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7235365899006052) q[0];
rz(0.04091209905854942) q[0];
rx(1.6976230923564013) q[1];
rz(0.3870022778155879) q[1];
cx q[1], q[0];
rz(-0.140202195431205) q[0];
cx q[1], q[0];
rx(-0.6165268649626051) q[0];
rz(-0.7984180064936037) q[0];
rz(-0.1745478764378946) q[1];
rx(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IZIZIIII",
"ZIIIIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIZII",
"ZIZIIZII",
"ZZIIIZII",
"ZZZIIIII",
"ZZZIIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
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0.25,
0.25,
0.25,
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0.5,
0.5,
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0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
-0.75,
-0.25,
0.125,
-0.75,
-0.25,
0.125,
-0.125,
-0.125
] | 0.973487 | [
0.7235365899006052,
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1.6976230923564013,
0.3870022778155879,
1.6872124131240298,
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0.05426071222358306,
-0.3657319068593214,
1.7002211751850742,
0.11502288332261729,
1.365368787129267,
0.16658572758670925,
-0.027191421962645304,
0.7644374577556309,
... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 45 |
c2371d2920c8beae5a4f19c91b314a5f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [283, 315], "expectation_value": -4.3254620774724755, "params": [0.5044000000000001, 0.5054000000000001, 0.07490000000000001, 0.0757, 0.07390000000000001, 0.0819, 0.4455, 0.44070000000000004, 0.5033, 0.5077, 0.5005000000000001, 0.49960000000000004, -0.0097, -0.0071, 0.5044000000000001, 0.5078, 0.5036, 0.5087... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(2) + -0.5 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(8) | 14 | 9 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["011000100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.7567345041924131) q[0];
rz(pi/2) q[0];
ry(0.2517191990012679) q[1];
ry(-0.025560317807052008) q[2];
ry(0.7562346667769291) q[3];
ry(0.7035110613857286) q[4];
ry(1.138594233737709) q[5];
ry(0.03365657157834068) q[6];
ry(0.7567345041924131) q[7];
ry(0.731966295760113... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIZIZIIII",
"IIIIZIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-0.5,
-0.5,
0,
0,
0
] | 0.970161 | [
0.7567345041924131,
0.2517191990012679,
-0.025560317807052008,
0.7562346667769291,
0.7035110613857286,
1.138594233737709,
0.03365657157834068,
0.7319662957601132,
0.5640754043447962,
0.4387057523597886,
-0.06151309226926324,
0.06658853133923832,
0.46445562494739917,
0.2264231980110144,
0... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 37 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [2, 3], "expectation_value": -11.748567529223443, "params": [0.08750000000000001, 0.253, 0.1165, 0.263, 0.11, 0.23270000000000002, 0.11180000000000001, 0.24020000000000002, 0.4907, 0.124, 0.42650000000000005, 0.13290000000000002, 0.0834, 0.25370000000000004, 0.10940000000000001, 0.2636, 0.1091, 0.24400000000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 3 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-5.75,
-6,
-5.75,
-5.75,
-5.5,
-5.25
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
f4b35897c92c6d263a710eff3f98deac | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [889, 633], "expectation_value": -4.558444246516377, "params": [0.9049, 0.9007000000000001, 0.7334, 0.7252000000000001, 0.1816, 0.18510000000000001, 0.8491000000000001, 0.8482000000000001, 0.9056000000000001, 0.9015000000000001, 0.909, 0.9119, 0.9068, 0.904, 0.0012000000000000001, 0.0014, 0.0041, 0.0041, 0.9... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * Z(7) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1... | 13 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["0011000110", "0110000110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.7135147701653508) q[0];
rz(0.026867685181350853) q[0];
ry(-0.1996047372186062) q[1];
ry(-0.019576878490200754) q[2];
ry(1.3866685869841833) q[3];
ry(1.318250322848111) q[4];
ry(1.4892285039391524) q[5];
ry(1.0705617850308196) q[6];
ry(-0.00782794124466886) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIZIIZIIII",
"IIIIIZIZII",
"IIIIZIIZII",
"IZZIIIIIII",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IZIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
0,
-1,
-0.5,
-0.5,
-2,
0,
-0.5
] | 0.97052 | [
1.7135147701653508,
-0.1996047372186062,
-0.019576878490200754,
1.3866685869841833,
1.318250322848111,
1.4892285039391524,
1.0705617850308196,
-0.00782794124466886,
-0.010845862240263265,
1.7540100314571474,
0.053735370362701707,
0.0746314934407693,
-0.01310784398739362,
0.2841720463528408... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 22 |
ec7f14adb1b1c692b11deac79fc27623 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [423, 167], "expectation_value": -70.88088548272741, "params": [-0.0023, 0.0015, 1.4765000000000001, 0.0013000000000000002, 2.4997000000000003, 0.0085, 1.0885, 0.0036000000000000003, 2.5096000000000003, 0.0048000000000000004, 0.8961, 0.0083, -0.0026000000000000003, 0.0053, 2.4914, 0.0054, 2.5021, 0.005500000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(7)) + 9.0 * Z(1) + 8.5 * Z(2) + 2.0 * Z(5) + 17.0 * Z(4) + 3.5 * Z(3) + 15.5 * Z(7) + 16.5 * Z(8) + 7.0 * ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1101011000"], "largest_eigenvalue": 176.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.029786302789786334) q[0];
rz(-0.06708202634411498) q[0];
rx(0.03151314706015296) q[1];
rz(-0.1812720641724986) q[1];
rx(3.16732743826075) q[2];
rz(-0.19257282853180163) q[2];
rx(0.2602078296558154) q[3];
rz(0.5978387022028875) q[3];
rx(2.9608311383963555) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIIIZZIII",
"IIZIIIIIZI",
"IZIIIZIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ",
"IIIZIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
9,
8.5,
2,
17,
3.5,
15.5,
16.5,
7,
-12,
-10.5
] | 0.9726 | [
0.029786302789786334,
0.06663114088999829,
0.03151314706015296,
-0.1812720641724986,
3.16732743826075,
-0.19257282853180163,
0.2602078296558154,
0.5978387022028875,
2.9608311383963555,
-0.37245070650441453,
-0.18918786062790405,
0.5994637799692099,
-0.019118408710269708,
-0.319320284340401... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -102.5,
"target_ratio": 0.97,
"target_value": -99.425
} | 13 |
a7b6961c0e010c5cd9220aed7c02d87e | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [10, 11], "expectation_value": -4.999986795282007, "params": null, "bitstrings": ["110101", "110100"], "total_optimization_steps": 20, "probabilities": [1.808493766232e-06, 0.9999959237008993], "optimization_time": 12.096580266952515} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001959798150095337) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.001959798150095337) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3815866551963541) q[2];
cx q[1], q[2];
rz(0.3815866551963541) q[3];
cx q[0], q[3]... | 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(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZIIZII",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
0.25,
0.75
] | 0.685194 | [
0.001959798150095337,
0.3815866551963541,
-0.02024676984199178,
1.5645802848410972,
-1.559643606159173,
-1.5674598134785187,
1.542213756241811
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 175 |
06224520ded029e940b1fde3f5ab3e3b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [42, 35], "expectation_value": -0.21864577267404484, "params": [[-0.0256, -0.042300000000000004, -0.06760000000000001], [0.0001, 0.042100000000000005, 0.06420000000000001]], "bitstrings": ["010101", "011100"], "total_optimization_steps": 10, "probabilities": [0.019360772573457214, 0.019360772573457242], "opt... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"IIZZII",
"ZIZIII",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
906d0b5f20babab9505ce147d5cb0a00 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -23.792326401324576, "params": [[[0.0033, 0.0095], [0.0053, 0.0028], [0.0029000000000000002, 0.0024000000000000002], [0.0013000000000000002, -0.0029000000000000002], [0.0038, 0.0028], [0.0088, 0.0028], [0.16640000000000002, 0.0023], [0.0024000000000000002, 0.0023], [0.0028,... | -0.75 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(3)) + -1.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(1)) + -1.25 * (Z(10) @ Z(5)) + -1.75 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(8)) + -2.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(10)) + -1.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 26.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.28831682688894733) q[0];
ry(-0.0558917297486244) q[1];
ry(0.0077057582403000716) q[2];
ry(0.24362924230507169) q[3];
ry(0.22462769587882464) q[4];
ry(0.003968067975836723) q[5];
ry(0.0026577660999274576) q[6];
ry(0.0020893977802645108) q[7];
ry(-0.0104617626204978... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIIIIZIZI",
"IIZIIZIIIII",
"IIZIIIIIIZI",
"ZIIIIZIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"IIIZIZIIIII",
"IIIZIIIZIII",
"IIIZIIIIIZI",
"IIZZIIIIIII",
"ZIIZIIIIIII",
"IZIIIZIIIII",
"IZIIIIIZIII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"ZIIIIIIIZII",
"IZIIIIIIZ... | [
-0.75,
-1.5,
-1,
-2,
-1.25,
-1.75,
-0.5,
-2.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1.5,
-0.25,
-0.75,
1,
-1.25,
-0.25,
-1.25,
-0.25,
-0.5,
-0.75,
-1.5,
-1.5,
-1,
2,
-0.25,
0.5,
0.25,
0,
2.25,
-1.25,
-1.75,
-3.25,
0.5,
1
] | 0.970644 | [
0.28831682688894733,
-0.0558917297486244,
0.0077057582403000716,
0.24362924230507169,
0.22462769587882464,
0.003968067975836723,
0.0026577660999274576,
0.0020893977802645108,
-0.010461762620497812,
-0.06315909230679327,
0.07883596246126352,
0.056007864571808605,
0.036840123508564956,
-0.01... | {
"n_parameters": 68,
"n_qubits": 11,
"optimal_eigenvalue": -24.25,
"target_ratio": 0.97,
"target_value": -23.5225
} | 59 |
-4157298599113952080 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2, 4], [3, 4]]} | {"states": [21, 30], "expectation_value": -0.28593765023702666, "params": [[0.45270000000000005], [-0.42460000000000003]], "bitstrings": ["01010", "00001"], "total_optimization_steps": 50, "probabilities": [0.05214563766633587, 0.05324409522855633], "optimization_time": 1.5288636684417725} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * Z(1) + 0.125 * Z(0) + 0.125 * Z(2) + 0.125 * Z(4) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["10010", "00001", "00110", "01010"], "largest_eigenvalue": 1.4999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.019360516388462902) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.019360516388462902) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.019360516388462902) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.019360516388462902) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.125,
0.125,
0.125,
0.125,
0
] | 0.972544 | [
0.019360516388462902,
2.7256793967472444,
1.578083821606951,
-1.7733303661796511,
-1.613364144373703
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -0.75,
"target_ratio": 0.97,
"target_value": -0.7275
} | 33 |
f4058862d2cc91e963663e2c69858d5f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [100, 37], "expectation_value": -4.996515624145528, "params": null, "bitstrings": ["0011011", "1011010"], "total_optimization_steps": 26, "probabilities": [0.06700894031405219, 0.9297461660320786], "optimization_time": 24.081281900405884} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1011010", "0011011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.08155479116440284) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.08155479116440284) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08155479116440284) q[3];
cx q[2], q[3];
rz(0.6726318576019645) q[2];
rx(1.4395567190828875) q[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[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",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-0.5,
-1,
-1.5,
-0.5
] | 0.857675 | [
-0.08155479116440284,
0.6726318576019644,
1.3685732063111773,
-1.9248268523404324,
1.3279290926971614,
1.4395567190828875,
-0.8198366260050157,
1.279399435917915,
1.24312089196522,
3.1061045586653235,
1.9879305316842095,
0.3855996081973117
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 350 |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -6.808944959273738, "params": null, "bitstrings": ["101010", "100010"], "total_optimization_steps": 26, "probabilities": [0.4264570687841214, 0.4267568391128236], "optimization_time": 21.314091682434082} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.3973990978795459) q[0];
h q[1];
ry(0.7210581234742061) q[1];
h q[2];
h q[3];
ry(1.508145619070655) q[3];
cx q[3], q[1];
ry(-0.7210581234742061) q[1];
cx q[3], q[1];
h q[4];
ry(-1.402367103280393) q[4];
h q[5];
cx q[5], q[0];
ry(0.3973990978795459) q[0];
cx... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.75,
-1,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.75,
-1,
-1.25,
1.25,
-0.25,
1.25,
-1.5,
0.5,
-1.25
] | 0.973609 | [
-1.402367103280393,
-0.7947981957590918,
1.226614773855988,
1.508145619070655,
1.4421162469484121,
-0.23582571520858747,
0.17368093824506411,
-0.2690797596273954,
0.1449349374403027,
-0.4615274142083343,
-0.04054061261302525,
-0.4541789105974401
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 11 |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [445, 413], "expectation_value": -3.6135596959645153, "params": [0.6967, 0.08030000000000001, 0.7042, 0.201, 0.3763, 0.26890000000000003, 0.36560000000000004, 0.2735, 0.6872, 0.2348, 0.7051000000000001, 0.023, 0.7018, 0.14600000000000002, 0.39490000000000003, 0.2817, 0.683, 0.0591, 0.6896, 0.0735000000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.815869706397565) q[0];
rz(-0.10266699916250133) q[0];
rx(2.938411203352395) q[1];
rz(-0.359908355829058) q[1];
rx(-0.027903752025837614) q[2];
rz(0.2181567296090501) q[2];
rx(3.0078051915562813) q[3];
rz(0.18559254664400454) q[3];
rx(0.33346172350010733) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.97428 | [
3.467315600782021,
-0.08758761771970738,
2.938411203352395,
-0.359908355829058,
-0.027903752025837614,
0.2181567296090501,
3.0078051915562813,
0.18559254664400454,
0.33346172350010733,
0.007502932029881421,
3.1040264026485866,
0.08178816583284416,
0.10051399472175349,
-0.3883946671857684,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
d7a525ce4c2e3aa682dbfbc5ee640032 | 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": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [3, 19], "expectation_value": -3.0269927041041207, "params": [[[0.8013, -0.0019], [-0.0268, -0.0117], [0.8014, 0.20070000000000002], [0.17170000000000002, 0.5869], [-0.0756, 0.20550000000000002], [0.8021, 0.5977], [-0.21880000000000002, 0.5109]], [[0.8094, 0.006200000000000001], [0.0257, 0.002], [0.7983, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + 0.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(3) | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111100", "1100110", "0110110", "1101100", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"IZZIIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
0,
-0.5,
0
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
0b4befd1b6021b98538c021e6b01d7d2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [22, 30], "expectation_value": -1.6185913590680987, "params": [-0.0002, -0.0007, 0.1791, 0.18150000000000002, 0.1839, 0.1767, 0.19970000000000002, 0.20270000000000002, 0.1981, 0.198, 0.2068, 0.2078, 0.20120000000000002, 0.2033, 0.0021000000000000003, -0.0005, -0.0009000000000000001, 0.0023, 0.1817, 0.1848000... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(3) @ Z(7) @ Z(5)) ... | 13 | 8 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["11100001", "10110001", "11001001", "11000011", "10101001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.01397968868372599) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.01397968868372599) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.01397968868372599) q[2];
cx q[0], q[2];
rz(1.49705474763927) q[2];
rx(-0.4289462383307536) q[2];
h q[3];
c... | 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] x11;
in... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIIZZIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IZZIIIIZ",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIZIZIII",
"IIIZIZII",
"IZIIIZII",
"IZIZIIII",
"IZIZIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.25,
-0.25,
0,
0,
0,
0,
-0.75
] | 0.970109 | [
0.01397968868372599,
0.5085249205910766,
-1.5267868634678496,
1.4970547476392697,
1.2949275225586785,
-1.1149933922168591,
0.9054003815470787,
-0.49552292257893105,
-0.4289462383307536,
0.0177838660194501,
1.054237269205935,
0.14538943434979795,
0.4013926854345311,
0.14512282522157288,
-... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 55 |
8601745197598425109 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [1, 3], [2, 4, 7], [8, 5], [0, 3], [8, 4], [1, 2, 6], [2, 5, 6], [8, 0, 7], [8, 1, 7], [2, 4, 5], [0, 5], [3, 6], [0, 4]]} | {"states": [453, 122], "expectation_value": -0.09815629022859146, "params": [[-0.0592], [0.0629]], "bitstrings": ["000111010", "110000101"], "total_optimization_steps": 10, "probabilities": [0.0021716290782895333, 0.002191829430431239], "optimization_time": 0.8619167804718018} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.166... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000002, "smallest_bitstrings": ["110000101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.6758501165045333) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.07498158241437967) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(-0.6758501165045333) q[3];
cx q[0], q[3];
cx q[1], q[3];
rz(-0.6758501165045333) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x1) q[1... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"ZIIZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.333333333333333... | 0.50427 | [
-0.6758501165045333,
0.07498158241437967,
-0.22421030872098008,
-1.2605201545274547,
0.2131512142308638,
0.8251177350940072
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333334,
"target_ratio": 0.97,
"target_value": -4.203333333333334
} | 182 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [349, 413], "expectation_value": -5.169930610951368, "params": null, "bitstrings": ["010100010", "001100010"], "total_optimization_steps": 54, "probabilities": [0.026413325143174803, 0.9199483870407077], "optimization_time": 68.96931147575378} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
08b9883600e02731f158b2b1d5d9c9bd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [3, 1], "expectation_value": -1.5921735800078016, "params": [[0.0794], [-0.07690000000000001]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012140090235556818, 0.014358911079717679], "optimization_time": 2.2342333793640137} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.1019184672717538) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.15303627208319998) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.2675488550582529) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(0.1019184672717538) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
-1.25,
-2,
-1.5,
-1.25,
-0.75,
-1,
-0.5,
3.75,
-0.25,
-1.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.5,
-0.25,
-0.75,
2.25,
2.5,
-0.5,
-1.75
] | 0.971263 | [
0.1019184672717538,
0.15303627208319998,
0.2675488550582529,
0.46476512296611683,
0.035813695834919695,
0.09530007768597705,
-0.15852781068968608,
0.07033331248619396,
0.7362223705722715,
-0.13317956850501755,
0.8131478071893592,
1.5095742138254278,
0.1498296177374479,
0.3121760974810467,
... | {
"n_parameters": 48,
"n_qubits": 7,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 235 |
9dfa6e61b93ce499638bf202901aee84 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [0, 3], "expectation_value": -30.315370842698307, "params": [-0.0026000000000000003, 1.7777, -0.0026000000000000003, 0.008, 0.0026000000000000003, 1.7140000000000002, 0.0026000000000000003, 0.2771, 0.0026000000000000003, 1.7655, 0.0026000000000000003, 0.006200000000000001, 0.0027, 1.6921000000000002, 0.0027,... | -3.5 * (Z(0) @ Z(1)) + 2.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -4.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + -3.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(6)) + -3.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(6)) + -2.... | 8 | 9 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["111111100"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.013176220082730897) q[0];
rz(-2.9290505700591947) q[0];
rx(-0.0025973889924149965) q[1];
rz(1.6987727939581545) q[1];
cx q[1], q[0];
ry(-0.5011555534039992) q[0];
cx q[1], q[0];
ry(0.48797933332126825) q[0];
rz(-1.5186678172982133) q[0];
rx(-0.0025973889924149965)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IIZIIZIII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"... | [
-3.5,
2,
-3.5,
-4,
-3,
-3.5,
-3.5,
1,
-3,
1,
-3.5,
1,
-3,
1,
-2,
1,
1,
0.5,
-3,
-1,
-3,
-2.5,
1,
2,
1,
1,
-2,
0.5,
0.5
] | 0.972438 | [
-0.013176220082730901,
1.7833384103254957,
-0.0025973889924149965,
1.6987727939581545,
1.4972298798884096,
-0.018224784691923172,
1.596480143702964,
1.6736310856587502,
0.04997192677372685,
1.4457537241528815,
-0.9385825112301541,
0.44385548166825034,
1.0201990037682351,
1.0499393299449469... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 4 |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [11, 7], "expectation_value": -22.98302062012748, "params": null, "bitstrings": ["11110100", "11111000"], "total_optimization_steps": 86, "probabilities": [0.11001358301823233, 0.621413230771058], "optimization_time": 184.7602527141571} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 10 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.2678692430954843) q[0];
ry(0.133982112329514) q[0];
rz(-1.6423171496700617) q[0];
rz(2.865239814634158) q[1];
ry(0.10791559648463672) q[1];
rz(-2.28638342328192) q[1];
rz(1.9493878355086798) q[2];
ry(0.421390967996594) q[2];
rz(-1.6340873891194703) q[2];
rz(1.60446... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.970676 | [
-0.1009869528208311,
0.2011463194306295,
-0.18388450202335396,
0.11641300867557425,
-0.1790840385320124,
0.2759826702065239,
0.2521979674672631,
-0.4285969017555645,
-0.1906059886326268,
0.9293906646938866,
0.9046304454595955,
0.13113208583620667,
1.1395547029818167,
-0.04090143663475966,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 14 |
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -0.1600794538145629, "params": [[-0.016, -0.0534], [-0.0166, 0.0533]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.016934542303487187, 0.017147540388938877], "optimization_time": 2.565614700317383} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[2], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
0,
-1
] | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
71e5bb03712e194188f8d50f4c05cdf8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [16, 24], "expectation_value": -3.3503066696725163, "params": [[[0.0024000000000000002, 0.5660000000000001, 0.0071, 0.0067], [0.3025, -0.0089, 0.3099, 0.0079], [0.8056000000000001, 0.0572, 0.006200000000000001, 0.058600000000000006], [0.0022, 0.41150000000000003, 0.003, 0.0081], [0.0046, 0.5787, 0.0009000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(3) + -0.25 * Z(2) + -0.75 * Z(4) + -0.75 * Z(5) | 12 | 6 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["100111"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.02416004962987343) q[0];
rz(0.6464253471396171) q[0];
ry(0.10916841186711712) q[1];
rz(-0.09003719706251745) q[1];
cz q[1], q[0];
ry(0.05188818090336937) q[0];
rz(0.3737247607235006) q[0];
ry(0.8200282107581987) q[1];
ry(1.0435735918085753) q[2];
rz(0.102623408307... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIZIZI",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-1,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75
] | 0.974585 | [
-0.02416004962987343,
0.6464253471396171,
0.10916841186711712,
-0.09003719706251745,
1.0435735918085753,
0.10262340830715515,
0.008916786375439203,
0.3403912361093418,
-0.14003445094820235,
0.6799870032696831,
0.15759830125959468,
-0.008518809284857834,
0.4100141053790994,
0.02910355617106... | {
"n_parameters": 46,
"n_qubits": 6,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 10 |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [2, 3], "expectation_value": -25.3245509139693, "params": [[[0.0517, -0.2758], [0.0111, -0.2843], [0.0533, -0.276], [0.1681, 0.2131], [0.2604, 0.0989], [0.5971000000000001, -0.0004], [0.603, 0.0005]], [[0.0531, -0.2757], [0.0099, 0.28350000000000003], [0.0545, -0.27590000000000003], [0.1706, 0.2136], [0.2611... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.5872911573188792) q[0];
rz(-pi) q[0];
ry(-0.26726735204165186) q[1];
rz(-pi) q[1];
ry(-0.32025952141824876) q[2];
rz(-pi) q[2];
ry(-0.6224629696099127) q[3];
rz(-pi) q[3];
ry(-0.35181623562306424) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.7161138757931876) 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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
3,
-10.5,
-10.25,
-10.25,
-10,
-10,
-9.5,
-9.5
] | 0.970185 | [
5.251233437186073,
-0.2673912936828298,
-0.7760115953540541,
-0.3650841035981909,
-1.3429305731484023,
-1.4322277515863753,
-1.1664985071735865,
1.1175018014905993,
-0.9490504200451876,
-0.543154209519463,
0.8403138767734598,
-0.42645370075633826,
-0.3266029877858881,
0.24790096395313949,
... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 1 |
a600d047aa28c30c441e2aa233739b7a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [1013, 757], "expectation_value": -1.0377861532384658, "params": [0.4798, 0.2641, 0.601, 0.3166, 0.48460000000000003, -0.0734, 0.6024, -0.042, 0.6011000000000001, -0.0, 0.6058, -0.0024000000000000002, 0.604, -0.0024000000000000002, 0.5041, 0.2513, 0.5986, 0.321, 0.0027, 0.3598, 0.6077, 0.0082, 0.4419, 0.2860... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(7) @ Z(0)) + 0... | 16 | 11 | 3 | {"smallest_eigenvalues": [-4.09375, -4.09375, -4.09375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.09375, "smallest_bitstrings": ["10100000110", "01100001010", "10100001010"], "largest_eigenvalue": 5.90625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3552108084077015) q[0];
h q[1];
ry(-0.4874831096631151) q[1];
h q[2];
cx q[2], q[1];
ry(0.4874831096631151) q[1];
cx q[2], q[1];
ry(-0.6397925592762816) q[1];
ry(0.8278733011707379) q[2];
cx q[0], q[2];
ry(-0.22688363096049208) q[2];
cx q[0], q[2];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIIZZIIIII",
"IIIIZZIIZII",
"IIZZIIIIIII",
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IIIZIIIIIIZ",
"ZIIIIIIIIIZ",
"IIIIIZIZIII",
"IIIZIIIZIII",
"ZIIIIIIZIII",
"IIIZIZIIIII",
"ZIIIIZIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
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... | 0.994807 | [
-1.6429228358157495,
1.3552108084077015,
-0.9749662193262302,
0.6009896702102457,
-0.44532252176755166,
0.45376726192098416,
-0.3889400750174599,
0.24808446137787232,
-0.1650064356971122,
0.0761369428508101,
0.16875073918238181,
0.062165518547061156,
0.21555729404213014,
0.0369350501633928... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
a617cd4648156ddc77f993201a7a952c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -23.04861595515255, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 84, "probabilities": [0.1117387711381538, 0.6314404591857681], "optimization_time": 182.55663585662842} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 11 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016051595018557085) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016051595018557085) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016051595018557085) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016051595018557085) q[3];
cx q[1], ... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.25,
-6.75
] | 0.976479 | [
0.016051595018557085,
-0.044725556110224884,
-1.5942489739862034,
-1.511915062604028,
1.942486051428569,
1.7812596979441973,
-1.4758902744393279,
0.463896267873675,
0.4666780978923133,
-1.0713581426797705,
-2.0979600597052888,
1.374106261390757,
-0.36896266833425195,
0.11673470776900458,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 78 |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [256, 1], "expectation_value": -11.193363063749366, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 24, "probabilities": [0.16205181912501485, 0.8147158739088153], "optimization_time": 30.284602642059326} | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6091848325332633) q[0];
h q[1];
ry(-1.588452627671235) q[1];
h q[2];
ry(-1.6276946459033956) q[2];
h q[3];
ry(-1.6276946459033956) q[3];
ry(-0.10662316151948092) q[4];
rz(-pi) q[4];
ry(-0.06371914567816628) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.627694645903395... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IZIIIIIII",
"... | [
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-1.5,
-0.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.25,
-0.25,
1,
0.5,
-2,
-0.5,
0.75
] | 0.971196 | [
-1.6276946459033956,
-1.2183696650665266,
1.3510578111873717,
-0.7713033139955954,
-1.366570324306977,
-1.4860400757306838,
-1.588452627671235,
-1.5667305303450199,
-0.19520568193687776,
-0.03553861133999609,
-0.04207421077209303,
-0.3488304077040262,
-0.07966413657683813
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 12 |
e8dd55008e3933710b03cfbc8470c4e8 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [0, 960], "expectation_value": -0.5638499803862872, "params": [[-0.031100000000000003], [0.0234]], "bitstrings": ["1111111111", "0000111111"], "total_optimization_steps": 10, "probabilities": [0.0011046205513157922, 0.0011173125481486806], "optimization_time": 3.557236433029175} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -3.5 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(4)) + 1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(7)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["0000111111"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0472054222518248) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0642674035381499) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.290125711784593) q[2];
cx q[0], q[2];
rz(0.29012571178459323) q[0];
rx(1.0482489040764311) q[0];
h q[3];
cx... | 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[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]... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIZIIZIIII",
"IZIZIIIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"ZIIIZIIIII"... | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-3,
1,
-3.5,
1,
-3.5,
1.5,
0.5,
-2.5,
-2.5,
0.5,
-3,
1.5,
-3.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1.5,
-2.5,
-2,
1,
-2
] | 0.565841 | [
1.0472054222518248,
1.0642674035381499,
0.290125711784593,
0.40319135941798157,
0.18798496344719423,
0.42205399679575784,
0.21577293900001437,
0.748292855885303,
1.0482489040764311
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 216 |
-5064463662352024584 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 3, 5], [1, 6], [0, 2, 6], [2, 4]]} | {"states": [83, 114], "expectation_value": -2.008370608869138, "params": null, "bitstrings": ["0101100", "0001101"], "total_optimization_steps": 47, "probabilities": [0.03892126823610015, 0.8193711462025242], "optimization_time": 42.11133337020874} | 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["0001101", "1100100"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.5065078665915713) q[0];
h q[1];
h q[2];
ry(0.6801298920632353) q[2];
h q[3];
ry(-0.37959704417248863) q[3];
h q[4];
ry(-0.30664027815423167) q[4];
h q[5];
cx q[5], q[4];
ry(0.30664027815423167) q[4];
cx q[5], q[4];
ry(-0.5445448240218246) q[4];
ry(1.5642693... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[5], 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... | [
"IZZIIII",
"IZIIIZI",
"IZIZIII",
"IIIZIZI",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"IIIIZIZ",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663
] | 0.974669 | [
-0.6132805563084633,
1.5642693963705254,
1.3602597841264705,
-1.0890896480436492,
-0.5676245558055724,
0.9608613470888456,
-0.2828406629662951,
0.4428258055190894,
0.1758927841425634,
-0.520821024262345,
1.0130157331831426,
-0.7591940883449773,
0.47428860641780457,
0.18771038720362018,
-... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 16 |
cd168b9dfe6f067036c4fe2db7911cf9 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"sour... | {"states": [206, 254], "expectation_value": -8.608797389865488, "params": null, "bitstrings": ["00110001", "00000001"], "total_optimization_steps": 75, "probabilities": [0.14918300788790093, 0.444116030455215], "optimization_time": 97.49541783332825} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5802789312613281) q[0];
h q[1];
cx q[1], q[0];
ry(-1.5802789312613281) q[0];
cx q[1], q[0];
ry(1.5268063039639994) q[1];
cx q[0], q[1];
ry(-1.5268063039639994) q[1];
cx q[0], q[1];
h q[2];
h q[3];
ry(1.5802789312613281) q[3];
cx q[2], q[3];
ry(-1.5802789312... | null | {"node": 8} | {"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(1.5681) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIIZZ",
"IIIIZZII",
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972111 | [
1.9892431655151501,
0.7142516062950035,
0.8755641450907768,
1.0814906968595992,
3.1605578625226562,
3.053612607927999,
0.8750917081025122,
-3.3511950582096617,
-0.007979740898543579,
0.048044262639782905,
2.4031240840806913,
0.036474475075901486,
0.12272067719971122,
-0.7350906497724697,
... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 196 |
72ec18873d3dc55875c8efef46485470 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -1.1195583330577734, "params": [[-0.07970000000000001], [0.0743]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.023297537166817543, 0.02359745229410018], "optimization_time": 1.6207873821258545} | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(0.6718764267967782) q[1];
h q[2];
h q[3];
ry(0.6718764267967782) q[3];
cx q[2], q[3];
ry(-0.6718764267967782) q[3];
cx q[2], q[3];
ry(1.5535753734037667) q[2];
cx q[2], q[1];
ry(-0.6718764267967782) q[1];
cx q[2], q[1];
ry(0.8533483681362799) q[3];
h ... | 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];... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-0.75,
-1,
-1.25,
-2.5,
-2.25,
-1,
-1.25,
2.25,
-1,
1,
-0.25,
-1.25,
-0.25,
0.75,
0
] | 0.97048 | [
1.3437528535935563,
1.5535753734037667,
0.8533483681362799,
-0.9362082007339845,
0.4623959360555589,
0.35436786059694586,
0.04302867212514143,
0.0500982270858599,
-1.6453394811112914,
-0.9180761020979388,
-1.558383651126498,
1.0819988838696692,
1.0170011116603797,
-0.25552214888759683,
-... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 108 |
-2732923853862995745 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [0, 1, 2], [2, 4], [0, 1, 4]]} | {"states": [11, 14], "expectation_value": -0.009577997277183031, "params": [[0.0438], [-0.0318]], "bitstrings": ["10100", "10001"], "total_optimization_steps": 10, "probabilities": [0.03171596843607504, 0.03171596843607506], "optimization_time": 1.0962910652160645} | 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.33333333333333326 * Z(0) + 0.3333333333333333 * Z(1) + 0.166666666666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["10001", "01011", "00011"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(1.417263065330173) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.5718392561526827) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.011320095952477946) q[2];
cx q[0], q[2];
cx q[1], q[2];
rz(0.011320095952477946) q[2];
cx q[1], 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x1) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(x2) q[2];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IIIZZ",
"IIZIZ",
"IIZZI",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII"
] | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0,
0.33333333333333326,
0.3333333333333333,
0.16666666666666663,
0.16666666666666663
] | 0.862562 | [
1.417263065330173,
0.5718392561526827,
0.011320095952477946,
-0.4721192192016394,
-0.8370425787636974
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -1.3333333333333335,
"target_ratio": 0.97,
"target_value": -1.2933333333333334
} | 136 |
475b2f0a232bb0d3ab64793dc24452cb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [25, 74], "expectation_value": -0.40311576129671856, "params": [[-0.0105, -0.0386, -0.0656], [-0.034800000000000005, 0.013000000000000001, 0.056100000000000004]], "bitstrings": ["1100110", "0110101"], "total_optimization_steps": 10, "probabilities": [0.009443442894375468, 0.009443442894375473], "optimization... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(4) + -1.5 * Z(6) + 0.0 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100110", "1100011", "1110001", "0110101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.141203751720873) q[0];
rz(0.09974369464535335) q[0];
ry(0.015768995776254083) q[1];
rz(0.44914816173938016) q[1];
cz q[1], q[0];
ry(0.5410146253572999) q[0];
rz(-0.19742549213463792) q[0];
ry(0.12366692714844989) q[1];
ry(-0.016500857305919166) q[2];
rz(0.10374467... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IZIIIZI",
"IZIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-0.5,
-1.5,
0,
-1
] | 0.97721 | [
1.141203751720873,
0.09974369464535335,
0.015768995776254083,
0.44914816173938016,
-0.016500857305919166,
0.10374467845304794,
-0.1481527973051474,
0.6300814671890728,
1.328520900525819,
0.1895073173007843,
0.01232531009892275,
0.6650802867782362,
1.1343582893231279,
0.0028847169183136567,... | {
"n_parameters": 90,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 75 |
349470e51b3762ef23fcf6a851dc8e1d | 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": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -27.298662505224538, "params": [[0.0279, 0.001, -0.008700000000000001], [-0.0781, -0.057300000000000004, -0.0427]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.006951622435532993, 0.008396767336153932], "optimization_time": 7.... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.187618942044145) q[0];
rz(-pi) q[0];
ry(-1.7599687068313097) q[1];
rz(-pi) q[1];
ry(-2.7040617186935703) q[2];
rz(-pi) q[2];
ry(-0.10990882509845053) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-10.643298077408872) q[5];
cx q[5], q[2];
ry(3.008064639452315) q[2];
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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
6,
19,
16,
15,
3,
20.5,
4,
5.5
] | 0.970937 | [
-13.288635788926834,
16.707700645710162,
11.485587843730611,
-0.9038899663022613,
-10.643298077408872,
-6.01612927890463,
20.480329132293395,
27.318865921395695,
62.90566641834019,
13.936401089901285,
5.513059194653318,
-12.449127416427855,
36.78513038048737,
24.77404810964382,
0.0121719... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 100 |
6c28370939b7d49c2e67d552301e0191 | 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": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 4}, {"weight": 12, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -26.080077862673168, "params": [[-0.0352, 0.0074, 0.0061], [0.0828, 0.0654, 0.062]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.008115817051760918, 0.009636347063278336], "optimization_time": 10.555821180343628} | 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(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 5.5 * Z(1) +... | 1 | 9 | 3 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.18259604204203672) q[0];
rz(0.08060485615533963) q[0];
rx(0.6891006369177235) q[1];
rz(0.00017102855127421046) q[1];
rx(0.7562714054488282) q[2];
rz(-0.3404311286624009) q[2];
rx(0.6891006369177235) q[3];
rz(0.02128917638359139) q[3];
rx(0.06667048808959333) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"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,
5.5,
6.5,
10.5,
19.5,
15.5,
4.5,
18.5,
8.5,
1.5
] | 0.971363 | [
-0.18259604204203672,
0.2641521549594251,
0.6891006369177235,
0.00017102855127421046,
0.7562714054488282,
-0.3404311286624009,
0.02128917638359139,
0.06667048808959333,
0.37381510054334915,
0.8766187768053243,
-0.20332760614996834,
0.6899310805468107,
0.18365228317182203,
0.151142600961424... | {
"n_parameters": 99,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 13 |
347cd23786ada5a7ec96f3799dd0d8dc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [171, 117], "expectation_value": -21.003525534788952, "params": null, "bitstrings": ["01010100", "10001010"], "total_optimization_steps": 100, "probabilities": [0.09235583992557893, 0.1219335732334597], "optimization_time": 185.46140933036804} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) q[4];
rz(... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) 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",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5.5,
4.5,
18,
13.5,
2.5,
16.5,
9,
13.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
cba3c0f3028bedd24c97c562399fe60f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 1, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [77, 69], "expectation_value": -0.06345856891286754, "params": [[0.0451], [-0.033100000000000004]], "bitstrings": ["0110010", "0111010"], "total_optimization_steps": 10, "probabilities": [0.00806862627557421, 0.008069963519570442], "optimization_time": 1.4751534461975098} | 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(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -1.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111010", "1111000", "1101010", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IIIIIZZ",
"ZIIIIZI",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-1,
-1,
0,
0
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
047a6db213ec2347412434e39dcab446 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [248, 184], "expectation_value": -7.144737435325619, "params": [0.0039000000000000003, 0.449, 0.004200000000000001, 0.4471, 0.1945, 0.2074, 0.4459, 0.1935, 0.41950000000000004, 0.1749, 0.5943, 0.0543, 0.5921000000000001, 0.0264, 0.5091, 0.2746, 0.49200000000000005, 0.21430000000000002, 0.0018000000000000002,... | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 18 | 11 | 4 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.7895976344915955) q[0];
h q[1];
ry(-0.7810861968429474) q[1];
h q[2];
h q[3];
ry(1.6087583371568581) q[3];
h q[4];
ry(1.6087583371568581) q[4];
cx q[4], q[1];
ry(0.7810861968429474) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.7895976344915955) q[0];
cx q[4],... | 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": 4} | {"circuits": [], "gradients": []} | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
1,
0.5,
-1,
-1,
0.5,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.3333333333333333,
1,
-2.5,
-2.5,
2.5,
2.5,
1.5,
1.5,
1.5,
1.5,
-1,
... | 0.97411 | [
1.6087583371568581,
-1.5621723936858949,
-1.579195268983191,
-1.7000663403512135,
1.0380739879293168,
0.7350162679663793,
1.5754527001879863,
-0.7775594481828644,
-1.3800772367519494,
0.28813208000335316,
-0.7211051201233013,
1.3146153603862532,
-0.355182142317478,
-0.2241765857557586,
0... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -9.333333333333332,
"target_ratio": 0.97,
"target_value": -9.053333333333333
} | 5 |
6440352897ae715b0d3a7f54566e1380 | 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": 16, "source": 0, "target": 5}, {"weight": 18, "source": 0, "target": 2}, {"weight": 7, "source": 2, "target": 3}, {"... | {"states": [124, 110], "expectation_value": -24.955434662804155, "params": [[0.032100000000000004, -0.0019, -0.0008], [-0.08220000000000001, -0.061000000000000006, -0.06720000000000001]], "bitstrings": ["10000011", "10010001"], "total_optimization_steps": 10, "probabilities": [0.013931377023008642, 0.01785551364821482]... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.055697659287722925) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.055697659287722925) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.055697659287722925) q[2];
cx q[0], q[2];
rz(-0.4694826043279816) q[0];
rx(-0.3162701581341799) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17,
1,
16,
11.5,
10,
15.5,
7.5,
6
] | 0.970284 | [
-0.055697659287722925,
1.4547062001441282,
-0.46948260432798206,
1.3468945306892246,
-0.5579546998846485,
0.5519492686607871,
1.2072642378373164,
0.930898757947097,
-1.9298838529419649,
-0.3162701581341799,
0.09238996835585006,
0.3640056703940024,
-1.3794870854305046,
0.4012223804866644,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 49 |
-4305841559775494919 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 5], [1, 3, 5, 7], [1, 3, 5, 6], [0, 2], [8, 5]]} | {"states": [426, 424], "expectation_value": -1.0575140243150705, "params": [1.0005, -0.0181, 1.0008000000000001, 0.0011, 0.9928, -0.0324, 0.9902000000000001, 0.006, 0.744, 0.0046, 0.1835, 0.0077, 0.9978, -0.034300000000000004, 0.9914000000000001, 0.009000000000000001, 0.9941000000000001, 0.2859, 0.7778, 0.0051, 0.9919,... | 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["100000111", "001010111", "011010001", "001001000", "001100001", "110000001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.40091531655376245) q[0];
h q[1];
ry(-0.10487585006313586) q[1];
h q[2];
cx q[2], q[0];
ry(0.40091531655376245) q[0];
cx q[2], q[0];
ry(-0.8089961872072521) q[0];
ry(0.7063426606440774) q[2];
h q[3];
ry(1.3980288939017986) q[3];
h q[4];
ry(0.185623043420789... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIIZIZI",
"IIIZIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZIIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIIIIIZIZ",
"ZIIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.... | 0.971637 | [
1.3980288939017986,
-0.733419533495256,
0.7927268032737429,
-0.8662559658622067,
-0.8018306331075249,
0.4705133158882348,
0.5050200908913692,
-0.5432247961160696,
0.4026451395054163,
-0.5315427821823651,
-0.461300951830666,
0.3605121991954018,
0.24162374628485062,
-0.20975170012627173,
-... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 8 |
02500e6c91748dca7195e4be86cff3e1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [906, 395], "expectation_value": -50.130392075741916, "params": [[[0.7056, 0.32530000000000003], [1.2061, -0.019700000000000002], [1.1961000000000002, 0.39690000000000003], [0.28340000000000004, 0.5869], [0.5592, 0.6722], [0.0025, 0.3277], [1.1824000000000001, 0.5594], [-0.18510000000000001, 1.1952], [0.79, ... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(4) @ Z(9)) + 23.5 * Z(2) + 4.5 * Z(0) + 13.0 * Z(1) + 4.5 * Z(3) + 16.5 * Z(6) + 3.0 * Z(5) + -6.0 * Z(7) + 0.0 *... | 15 | 10 | 2 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.0, "smallest_bitstrings": ["1001110100"], "largest_eigenvalue": 131.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.6442565475421318) q[0];
ry(1.228938193119983) q[1];
ry(1.7369613869199587) q[2];
ry(-0.3128421154505545) q[3];
ry(-0.32298044559602535) q[4];
ry(-0.0627560023116403) q[5];
ry(1.0184343241859561) q[6];
ry(-0.23574459388626562) q[7];
ry(0.18588944350823505) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIZIIIII",
"ZIIIIZIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIZIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
23.5,
4.5,
13,
4.5,
16.5,
3,
-6,
0,
0,
-2
] | 0.970305 | [
1.6442565475421318,
1.228938193119983,
1.7369613869199587,
-0.3128421154505545,
-0.32298044559602535,
-0.0627560023116403,
1.0184343241859561,
-0.23574459388626562,
0.18588944350823505,
-0.5682841135115793,
-0.19245304293956572,
0.09971568013399743,
-0.023723291421035488,
-0.03914248155818... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -91,
"target_ratio": 0.97,
"target_value": -88.27
} | 48 |
66cfc53dbbd6c917fe899effb1140961 | 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": 3}, {"source": 1, "target": 2}, {"s... | {"states": [8191, 8161], "expectation_value": -26.543803580626253, "params": [[[0.0025, 3.1613], [0.0019, 0.0022], [-0.0034000000000000002, 0.0022], [0.0022, 0.0028], [0.0018000000000000002, 0.002], [-0.0029000000000000002, 0.0021000000000000003], [0.0022, 0.0028], [0.0025, 0.0022], [0.0026000000000000003, -1.615800000... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(7) @ Z(1)) + -2.0 * (Z(7) @ Z(0)) + -2.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(10)) + -2.0 * (Z(12) @ Z(2)) + 0.5 * (Z(3) @ Z(2)... | 15 | 13 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["0000000011110"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.023484809015684498) q[0];
ry(0.005297965298237554) q[1];
ry(0.016334612751087475) q[2];
ry(0.0015783124217781273) q[3];
ry(0.04776091541196159) q[4];
ry(0.07283570516577026) q[5];
ry(0.0015783124217781273) q[6];
ry(-0.023484809015684498) q[7];
ry(-0.0518303601237... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIZIIIIIZI",
"IIIIIZIIIIIIZ",
"IIIIIIZIIIIZI",
"IIIIIIZIIIIIZ",
"IIIIIZZIIIIII",
"IIIZZIIIIIIII",
"IIZZIIIIIIIII",
"IIZIZIIIIIIII",
"IZIZIIIIIIIII",
"IZIIZIIIIIIII",
"IZZIIIIIIIIII",
"ZIIIIIIIIIZII",
"IIIIIIIIIZZII",
"ZIIIIIIIIZIII",
"IIIIIIIZIIZII",
"ZIIIIIIZIII... | [
-2,
1,
-2,
-2,
1,
-2,
-2.5,
-2,
-2,
1,
-2.5,
0.5,
-2,
0.5,
-2.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
1.5,
1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972155 | [
-0.023484809015684498,
0.005297965298237554,
0.016334612751087475,
0.0015783124217781273,
0.04776091541196159,
0.07283570516577026,
-0.051830360123701145,
-0.03392509124547667,
3.0891310856428396,
-0.06237453455583112,
-0.02218710857680705,
-0.011126679375412249,
-1.8822232777258066,
0.069... | {
"n_parameters": 14,
"n_qubits": 13,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 15 |
ff4d8612be902cee01cbb69055101657 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 56], "expectation_value": -3.496304682848828, "params": null, "bitstrings": ["010011", "000111"], "total_optimization_steps": 22, "probabilities": [0.06706466845673519, 0.9295035070619324], "optimization_time": 13.930716753005981} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"], "largest_eigenvalue": 7.5} | 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(-0.004484549636475071) q[0];
cx q[4], q[0];
rz(0.7328109886623113) q[0];
rx(-0.8007113399707768) q[0];
cx q[4], q[1];
rz(-0.004484549636475071) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.004484549636475071) q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"ZZIIII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1,
0
] | 0.988988 | [
-0.004484549636475071,
-1.0690450112060856,
0.7328109886623114,
-1.0758900725224467,
0.8535075540902197,
-0.8007113399707768,
0.07221895186456898,
-0.520197576338447,
-0.671789822082748,
0.6519376481542358,
-0.8638708047021346,
0.2718423097134407,
-0.8220673049085121,
-0.492579786025785,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
96d3819ecbf0e5da50ec00a60723b600 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [512, 511], "expectation_value": -9.604333535116913, "params": [[[-0.0016, -0.0019], [0.0015, 0.2622], [-0.0032, -0.0023], [-0.0031000000000000003, 0.0027], [-0.0033, -0.0024000000000000002], [-0.0045000000000000005, 0.0023], [-0.0023, -0.0021000000000000003], [-0.0032, 0.0028], [-1.2614, -0.0031000000000000... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z... | 15 | 10 | 3 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.10158598717807901) q[0];
ry(0.08889514719719913) q[1];
ry(0.07664250448799574) q[2];
ry(-0.13300247973987248) q[3];
ry(-0.009408429365090273) q[4];
ry(0.047978221645255004) q[5];
ry(-0.0037613797151733264) q[6];
ry(0.07664250448799574) q[7];
ry(-1.618457070084472)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIZIZIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IIIIIZIZII",
"IZIIZIIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IZIZIIIIII",
"IIZIIIIZII",
"IZZIIIIIII"... | [
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.75,
1.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
0.5,
-0.25,
-0.25,
0.75,
0,
-1,
0,
-0.25,
0.5,
0
] | 0.970313 | [
0.10158598717807901,
0.08889514719719913,
0.07664250448799574,
-0.13300247973987248,
-0.009408429365090273,
0.047978221645255004,
-0.0037613797151733264,
-1.618457070084472,
0.33480027974605886,
0.004670696630649212,
0.0022502235439121783,
0.03628498653003024,
-0.009808424964719021,
0.0158... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 76 |
01c509cf41fe904ef36f9c73fa58f4df | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [54, 52], "expectation_value": -2.49103991716765, "params": [[[-0.0002, 0.31270000000000003], [0.5232, -0.030500000000000003], [0.5396000000000001, -0.0128], [0.6005, 0.0035], [0.0029000000000000002, 0.3655], [0.539, 0.008], [0.5227, 0.0082], [0.0039000000000000003, 0.438]], [[0.0054, 0.45180000000000003], [... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.875, "smallest_bitstrings": ["10101011", "10101101", "11001011", "11001101"], "largest_eigenvalue": 7.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6067730635277808) q[0];
ry(0.0068978171400194965) q[0];
rz(-2.165295187823308) q[0];
rz(-0.9320305873596415) q[1];
ry(2.9546423754659843) q[1];
rz(1.5962878589443843) q[1];
rz(1.94887746650212) q[2];
ry(0.10017209095800164) q[2];
rz(-2.4547303306903094) q[2];
rz(-2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZZIIIII",
"IIIIZZII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IZIIZZII",
"ZIIIZZII",
"ZZIIIZII",
"ZZIIZIII",
"ZZIIZZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-1,
-0.25,
-0.125,
-0.125,
-0.75,
-0.25,
-0.125,
-0.625
] | 0.977898 | [
0.0034511417619457353,
0.07195304533925116,
1.2739833284948667,
-0.123054125877101,
0.005011551244307841,
0.3973837165633978,
1.905775237438528,
0.06934632738707407,
-0.07347402081215618,
0.21084071151892464,
0.02816020830904334,
-0.5182778496141923,
1.303011955708514,
0.0862986415836879,
... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 24 |
3bbeb1b4854b941db57dad35594d6a41 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [197, 213], "expectation_value": -1.6126883493585646, "params": [[[1.4976, 0.0074], [-0.0026000000000000003, 0.0097], [1.7028, 0.0071], [1.7055, 0.004], [-0.0025, 0.0034000000000000002], [1.6258000000000001, 0.0029000000000000002], [0.8914000000000001, 0.0058000000000000005], [1.7019000000000002, 0.0047], [0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.9375, "smallest_bitstrings": ["1100101100", "1100101010", "0100111010", "0100111100", "0110110010", "1110100010"], "largest_eigenvalue": 7.0625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.1439690140240835) q[0];
rz(0.3288557079792726) q[0];
rx(0.045331165877078916) q[1];
rz(0.8078184653481421) q[1];
rx(3.0412004939066217) q[2];
rz(1.1505211008750809) q[2];
rx(3.355521584071206) q[3];
rz(0.45779046104132076) q[3];
rx(0.21018188998294388) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIZIIIIZ",
"IIIZIIIZII",
"IZZIIIIIII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZIIIZIII",
"ZIIIIIZIII",
"IIIIZZIIII",
"IIZIIZIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.0625,
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... | 0.978328 | [
3.1439690140240835,
0.3288557079792726,
0.045331165877078916,
0.8078184653481421,
3.0412004939066217,
1.1505211008750809,
3.355521584071206,
0.45779046104132076,
0.21018188998294388,
0.21949705435091,
0.2971021984209058,
-0.9232837799513851,
0.057173662294157185,
0.07384191467167452,
3.4... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -3.9375,
"target_ratio": 0.97,
"target_value": -3.819375
} | 25 |
271b6d26eb93ad56d6a083b79d80e520 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target":... | {"states": [2047, 1023], "expectation_value": -13.120431425161927, "params": [[[-0.0016, -0.0022], [-0.0001, -0.0023], [0.26430000000000003, -0.003], [0.0055000000000000005, -0.0031000000000000003], [0.004200000000000001, -0.003], [0.0048000000000000004, -0.0029000000000000002], [0.0076, -0.0029000000000000002], [0.000... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(9)... | 15 | 11 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.15191565676028002) q[0];
ry(0.04542980111385571) q[1];
ry(0.08557358264015551) q[2];
ry(0.10483582964408855) q[3];
ry(-0.05057214950720967) q[4];
ry(0.1502346916491602) q[5];
ry(0.06928009491165575) q[6];
ry(-0.07153731801969232) q[7];
ry(-0.10250684560789317) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIZIIZIIII",
"IIIZIIIIIIZ",
"IIIZIZIIIII",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IIIIIIZZIII",
"IIIZIIIZIII",
"IIIIIIIZIZI",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIZIII",
"IIIIIIIIZ... | [
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-1,
-0.5,
-0.75,
-0.25,
-0.5,
-0.5,
1.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
0,
2,
-0.75,
0.5,
-0.5,
-1.2... | 0.970464 | [
-0.15191565676028002,
0.04542980111385571,
0.08557358264015551,
0.10483582964408855,
-0.05057214950720967,
0.1502346916491602,
0.06928009491165575,
-0.07153731801969232,
-0.10250684560789317,
2.3819421399165943,
-0.03007850111430911,
0.024962705529795588,
0.002420330519156619,
0.0290820303... | {
"n_parameters": 35,
"n_qubits": 11,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 51 |
c74167a186ef9c06e73f7bbbf8de6ec0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [368, 372], "expectation_value": -2.6829202711513376, "params": [[[0.26, 0.13390000000000002, 0.0057, 0.0], [0.5931000000000001, -0.1645, 0.5522, -0.1178], [0.5645, -0.40230000000000005, -0.2411, 0.6138], [0.0844, 0.632, 0.38180000000000003, 0.5134000000000001], [0.49210000000000004, -0.3156, 0.55, -0.2907],... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 11 | 9 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.75, "smallest_bitstrings": ["001101001", "100001011", "001001101", "010001011", "001001011"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.041251712218491) q[0];
rz(0.580050011553691) q[0];
ry(0.23646985773661366) q[1];
rz(0.46970932330323645) q[1];
cx q[1], q[0];
ry(-0.044856563565926946) q[0];
rz(0.3955318483577836) q[0];
ry(0.7797338022827801) q[1];
rz(-0.08414341469060317) q[1];
ry(-0.66695651907... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IZZIIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
-0.25,
0.125,
0... | 0.971722 | [
-0.041251712218491,
0.580050011553691,
0.23646985773661366,
0.46970932330323645,
-0.666956519071666,
-0.018768719039308997,
0.024764447430296842,
0.5942090720854358,
0.04049400832053474,
0.7824465811501837,
-0.024260433111440733,
-0.3679413909186362,
0.030051998326202825,
0.091696359446894... | {
"n_parameters": 126,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 65 |
-185111073126632797 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2], [0, 1, 3, 5, 7], [0, 1, 4, 6, 7]]} | {"states": [199, 195], "expectation_value": -0.46532755793433495, "params": [2.6434, 0.0064, 2.6428000000000003, 0.0068000000000000005, 1.5128000000000001, 0.0098, 1.5383, 0.0077, 1.5233, 0.0068000000000000005, 1.5695000000000001, 0.0031000000000000003, 1.5895000000000001, 0.0059, 2.4055, 0.0053, 0.0023, 0.003900000000... | 0.26666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.1 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0... | 16 | 8 | 1 | {"smallest_eigenvalues": [-0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335], "number_of_smallest_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-3.1099443944695992) q[0];
rz(-0.2501995514369444) q[0];
rx(3.0691547717825385) q[1];
rz(-0.0728024650428574) q[1];
cx q[1], q[0];
rz(-0.21229782607222164) q[0];
cx q[1], q[0];
rz(-0.15643287128957814) q[1];
rx(0.04647185549196306) q[2];
rz(-0.0797614607121977) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"ZZIIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZII... | [
0.26666666666666666,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.1,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.3666666666666667,
0.3666666666666667,
0.16666666666666666,
0.1,
0.1,
0.19999999999999996,
0.1,
0.1
] | 0.980497 | [
3.1732409127099874,
-0.4624973775091664,
3.0691547717825385,
-0.0728024650428574,
0.04647185549196306,
0.07667141057738076,
0.08911029172803081,
-0.596376258901995,
1.501490854057719,
1.0595772893510418,
0.22202952195925402,
0.7666863169949031,
0.13107247154584897,
3.094783622268559,
0.0... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -0.7333333333333335,
"target_ratio": 0.97,
"target_value": -0.7113333333333335
} | 15 |
5453c2513a3015ff34fdf7af0c17d479 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [56, 7], "expectation_value": -3.1484125325322823, "params": [[-0.0594], [0.061900000000000004]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.010404028092274519, 0.010708365413919252], "optimization_time": 3.794567108154297} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
38f137728aa288017fb6e77e397c7c5c | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 7}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.22308050642654836, "params": [[-0.2551], [0.26730000000000004]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 30, "probabilities": [3.583084633630474e-05, 3.583084633630477e-05], "optimization_time": 22.167236804962158} | 0.25 * (Z(0) @ Z(1)) + 0.00026041666666666666 * (Z(2) @ Z(0)) + 0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006510416666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0006510416666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005208333333333333 * (Z... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.01996527777774], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0199652777776564, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0161458333333067} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.5654779670798409) q[0];
ry(0.14402944392157843) q[1];
ry(1.5070742862472157) q[2];
ry(0.00326291141612349) q[3];
ry(1.677896976577902) q[4];
ry(-0.0004180195311676016) q[5];
ry(1.6663581868950403) q[6];
ry(1.6312603084216823) q[7];
ry(0.01917365864312516) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00026041666666666666,
0.00026041666666666666,
0.25,
-0.0006510416666666666,
-0.00078125,
-0.0006510416666666666,
-0.00078125,
0.25,
-0.0005208333333333333,
-0.0006944444444444446,
-0.0005208333333333333,
-0.0005208333333333333,
-0.0006944444444444446,
-0.0005208333333333333,
0.... | 0.97202 | [
1.5654779670798409,
0.14402944392157843,
1.5070742862472157,
0.00326291141612349,
1.677896976577902,
-0.0004180195311676016,
1.6663581868950403,
1.6312603084216823,
0.01917365864312516,
1.7748246180111893,
-0.050733965111285736,
1.4959473649241986,
0.14239188211970258,
1.5332276298101073,
... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.0199652777777413,
"target_ratio": 0.97,
"target_value": -1.9593663194444089
} | 38 |
6ca7d17fd5da99c16b5e08c2388f4219 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [191, 159], "expectation_value": -9.998244594170757, "params": null, "bitstrings": ["101000000", "101100000"], "total_optimization_steps": 63, "probabilities": [0.49913300371250197, 0.49913300371250197], "optimization_time": 104.61717987060547} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000", "111111110", "101000000", "101100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.005199878430952781) q[0];
rz(0.49753994051744854) q[0];
rx(0.009444908772521665) q[1];
rz(0.056812599041951906) q[1];
rx(0.0102766991684648) q[2];
rz(-0.676310269412558) q[2];
rx(0.0016931880366726111) q[3];
rz(0.9424830252791354) q[3];
rx(0.0016931880366726115) q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIIIZIIZI",
"IZIZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"... | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
0.5,
-0.25,
-0.25,
-0.25,
-2.75,
0,
1.25,
0,
1,
0.75,
0.25
] | 0.970696 | [
-0.005199878430952782,
0.37496190897554177,
0.009444908772521663,
-0.23217063461303789,
0.0102766991684648,
-0.4946957216394926,
0.0016931880366726111,
0.7310045504369199,
-0.3930316605389239,
-0.05982864059873119,
0.5973458095286764,
-0.2609853964398807,
-0.022565700292863936,
0.740756047... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 6 |
3c0665940b168eebba233cb5a1d3af60 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -12.608417876621246, "params": [-0.0033, 0.0019, -0.0024000000000000002, 0.0013000000000000002, 0.0027, 0.0079, 0.0023, 0.0079, 0.0023, 0.004200000000000001, 0.0024000000000000002, 0.0025, -0.0027, 0.007, 0.0024000000000000002, 0.0044, -0.0028, 1.0124, 1.6018000000000001, 0.0079,... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8)... | 4 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.31453006187333216) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.4390477996177715) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4449413417970675) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.31453006187333216) q[3];
cx q[0], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZZIIIII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIIZIII",
"IZIIZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIZIIIIIZI",
"IIZIIIZIII"... | [
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
2.25,
-0.25,
-0.25,
-1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.75,
1.5,
-0.5,
-0.5,
1.75,
-1.25,
0.75
] | 0.468186 | [
0.31453006187333216,
0.4390477996177715,
0.4449413417970675,
0.4964713286533322,
-0.243292889150701,
-0.36187186498081264,
-1.5302643724066771,
0.9798077581779856,
-0.30204593626072207,
1.1257244781836306
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 248 |
26b0c21f43e0914291253fccea754cb4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 21], "expectation_value": -9.449332538501677, "params": null, "bitstrings": ["111110", "101010"], "total_optimization_steps": 37, "probabilities": [0.13103223088624938, 0.7089469748292432], "optimization_time": 25.745290994644165} | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.10907579258365115) q[0];
h q[1];
ry(-0.2103859763398643) q[2];
rz(-pi) q[2];
h q[3];
ry(0.604260278838176) q[3];
cx q[1], q[3];
ry(-0.604260278838176) q[3];
cx q[1], q[3];
ry(1.6522313222015446) q[1];
ry(0.6066552576964641) q[3];
cx q[3], q[1];
ry(0.104131... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-2,
-1.5,
-0.75,
-0.25,
1.75,
-0.25,
-2.75,
-0.25,
0.5,
0.5,
0.75,
1.25
] | 0.970516 | [
-0.2181515851673023,
1.265828792876706,
-0.8838791587849417,
1.208520557676352,
1.756362495781696,
0.6066552576964641,
-0.20826234716030267,
0.12761223583215306,
-0.16017964400308954,
-1.111453342572607,
0.024964515180282365,
0.26199644891527213,
-0.4979140157648508,
-0.31833873611701424,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 25 |
a0953ab2303ba896a6b18aabe92f0cad | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [85, 213], "expectation_value": -5.667871600454624, "params": [[0.0023, 0.0022, 0.8473, 0.8497, -0.0317, 1.3989, -0.0017000000000000001, 1.4047, 0.5784, 1.4001000000000001], [0.0024000000000000002, 0.0029000000000000002, 1.4044, 1.405, 0.42800000000000005, 1.4052, -0.0033, 1.3952, 0.2684, 1.4062000000000001]... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(2) + -2.0 * Z(0) + -0.5 * ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100001101", "1000001111", "1100101010", "1100101001", "1101000110", "1001000111", "1100001110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.13004473839726544) q[0];
ry(0.15330170207921862) q[1];
ry(0.00671625253560279) q[2];
ry(0.7490802222219153) q[3];
ry(0.10921803937378323) q[4];
ry(1.8514404185024875) q[5];
ry(-0.06603087273801983) q[6];
ry(1.269985371908757) q[7];
ry(0.3317939792005273) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IIIIZIIIIZ",
"IZIIIIIIZI",
"IIZZIIIIII",
"IIZIIIIIZI",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IIZIIZIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-2,
-0.5,
-1.5,
-1.5,
0,
-1,
-1,
-0.5,
0
] | 0.97195 | [
0.13004473839726544,
0.15330170207921862,
0.00671625253560279,
0.7490802222219153,
0.10921803937378323,
1.8514404185024875,
-0.06603087273801983,
1.269985371908757,
0.3317939792005273,
1.8061784102226497,
0.028256541065769317,
-0.0789458342055449,
2.7227574952481723,
2.1324054724441863,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 17 |
-6610800188588073922 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 4, 7, 8], [2, 3, 4], [4, 5, 6, 7, 8], [0, 1, 2, 3, 5, 8], [0, 1, 3, 4, 7, 9], [0, 1, 3, 5, 6, 7], [9, 2, 4, 7], [0, 3, 6, 7, 8, 9], [9, 2, 5, 6], [0, 1, 3, 4, 8, 9], [0, 2, 3, 7, 8, 9], [0, 1, 2, 7, 8, 9], [0, 1, 4, 5, 7], [0, 2, 3, 6, 7, 8]]} | {"states": [470, 471], "expectation_value": -2.6599644708842374, "params": [1.6095000000000002, -0.6295000000000001, 1.6803000000000001, 0.0058000000000000005, 2.0923000000000003, 0.077, 0.7328, 0.0071, 1.9795, 0.11320000000000001, 1.0962, 0.008400000000000001, 2.0701, 0.1311, 0.9936, 0.0051, 0.6029, 0.0565, 0.035, 0.0... | 0.11666666666666667 * (Z(1) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.16666666666666669 * (Z(4) @ Z(1)) + 0.2333333333333333 * (Z(7) @ Z(2)) + 0.2 * (Z(7) @ Z(1)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333332 * (Z(8) @ Z(2)) + 0.15 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(4)) + 0.2333333333333333 * (Z(8)... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.9333333333333322], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8666666666666667, "smallest_bitstrings": ["1000101000"], "largest_eigenvalue": 13.999999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.4619053972427312) q[0];
rz(1.414346340508481) q[0];
rx(-2.9908980793874127) q[1];
rz(1.6870230802321986) q[1];
rx(2.692663052665425) q[2];
rz(1.5502333750940753) q[2];
rx(2.607765485268908) q[3];
rz(1.70921973855544) q[3];
rx(-0.3324721235331165) q[4];
rz(1.427076... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIZIIIZIII",
"IZIIIIZIII",
"IIIIZIIZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIZIZIIIII",
"IZIIZIIIII"... | [
0.11666666666666667,
0.3,
0.16666666666666669,
0.2333333333333333,
0.2,
0.26666666666666666,
0.18333333333333332,
0.15,
0.13333333333333333,
0.2333333333333333,
0.26666666666666666,
0.13333333333333333,
0.2333333333333333,
0.16666666666666666,
0.16666666666666666,
0.11666666666666667,
... | 0.971132 | [
1.4619053972427312,
-0.15644998628641565,
3.292287227792174,
0.11622675343730207,
2.692663052665425,
-0.020562951700820904,
2.607765485268908,
0.1384234117605439,
-0.3324721235331165,
-0.14372002188578503,
3.220092729624897,
-0.004000351544203216,
0.36851662334050694,
-0.19935336219534477,... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -2.9333333333333322,
"target_ratio": 0.97,
"target_value": -2.845333333333332
} | 265 |
2e9df40997cb418d8be634dabc4b4463 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [49, 57], "expectation_value": -3.9069689095196707, "params": [0.0286, 0.13820000000000002, 0.027100000000000003, 0.1302, 0.30720000000000003, -0.0604, 0.30660000000000004, -0.0097, 0.3075, -0.0737, 0.30820000000000003, 0.0009000000000000001, 0.2886, -0.0897, 0.29710000000000003, -0.08990000000000001, 0.2595... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + -2.5 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(3) | 5 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000110", "1001010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.0713032083069759) q[0];
rz(-0.4004712889293458) q[0];
rx(0.5449239382254559) q[1];
rz(0.051257603921423645) q[1];
rx(0.28494683249482716) q[2];
rz(0.2500357058007916) q[2];
rx(0.6939043000233256) q[3];
rz(-0.2742568490480135) q[3];
rx(0.35436840402317826) 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": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IZIIZII",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IIZZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-2.5,
-0.5,
0,
-0.5
] | 0.970762 | [
-0.07130320830697591,
-0.24902649046134465,
0.5449239382254559,
-0.11435511425734836,
0.28494683249482716,
0.08057166443563232,
0.6939043000233256,
-0.18704164681519608,
0.3543684040231783,
0.03538049003364847,
-0.05484519028648215,
-0.28174910590057667,
0.41784337467598803,
-0.45602806671... | {
"n_parameters": 98,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 27 |
57f2330f4f0f5f72f7be582df8ad0cf7 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"s... | {"states": [0, 8191], "expectation_value": -27.7031933547968, "params": [[[0.0023, 1.6078000000000001], [0.0022, 0.0023], [0.0021000000000000003, 0.0019], [0.002, 0.0018000000000000002], [-0.003, 0.0028], [0.0018000000000000002, 0.0022], [0.0021000000000000003, 0.0019], [0.0022, 0.0019], [-0.003, 0.0026000000000000003]... | -1.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(10) @ Z(8)) + -3.0 * (Z(10) @ Z(7)) + -... | 15 | 13 | 1 | {"smallest_eigenvalues": [-33.0, -33.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -32.0, "smallest_bitstrings": ["0000000000000", "1100000000000"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.06706649283741246) q[0];
ry(-0.037756333276145373) q[1];
ry(-0.03953028018347362) q[2];
ry(0.1492764779921626) q[3];
ry(-0.04717744275751716) q[4];
ry(0.05507055990231377) q[5];
ry(-0.03953028018347362) q[6];
ry(-0.037756333276145373) q[7];
ry(-0.04717744275751716... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIZIIZIII",
"IIIIIIZIIIZII",
"IIIIIIIIZZIII",
"IIIIIIIIZIZII",
"IIIIIIZIZIIII",
"IIIIIIIZIZIII",
"IIIIIIIZIIZII",
"IIIIIIZZIIIII",
"IIIIIIIZZIIII",
"IIIIZZIIIIIII",
"IIZIZIIIIIIII",
"IIZIIZIIIIIII",
"ZIIIZIIIIIIII",
"ZIIIIZIIIIIII",
"ZIZIIIIIIII... | [
-1.5,
-2.5,
1,
-2,
-2.5,
1,
-2.5,
-2,
0.5,
0.5,
-2,
-2,
1,
-3,
-2,
-2,
-3,
0.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97465 | [
0.06706649283741246,
-0.037756333276145373,
-0.03953028018347362,
0.1492764779921626,
-0.04717744275751716,
0.05507055990231377,
-0.12069726155879923,
0.2186832563794719,
3.1104870138395246,
-0.01374100196128255,
0.00926952190464829,
-0.2726591580019958,
0.1520288520802394,
0.0818033206913... | {
"n_parameters": 15,
"n_qubits": 13,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 20 |
901818354894385254 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [2, 6], [0, 5], [1, 2], [3, 6]]} | {"states": [88, 97], "expectation_value": -0.04579507105870244, "params": [[0.07350000000000001], [-0.0631]], "bitstrings": ["0100111", "0011110"], "total_optimization_steps": 10, "probabilities": [0.00854858757841081, 0.00854858757841081], "optimization_time": 1.1513707637786865} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0011110", "0100111", "1011000", "1100001"], "largest_eigenvalue": 2.5} | 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(0.9766320057040958) q[0];
cx q[4], q[0];
rz(7.520350564504952e-09) q[4];
rx(-0.785398161408124) q[4];
h q[5];
cx q[0], q[5];
rz(0.9766320057040958) q[5];
cx q[0], q[5];
rz(7.520350564504952e-09) q[0];
rx(-0.78539... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[2], q[1];
... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIIIZII",
"IZIIIIZ",
"IIIIZZI",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIIIIZI",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.609771 | [
0.9766320057040958,
7.520350108990118e-9,
-0.7853981614081239
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 97 |
5a12fc3b9ebd59a3b68795f0bd90935e | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [42, 50], "expectation_value": -4.499937480746295, "params": null, "bitstrings": ["010101", "001101"], "total_optimization_steps": 28, "probabilities": [1.6356918706669808e-05, 0.9999687410148377], "optimization_time": 24.24774146080017} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.1435948285215511e-07) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(1.1435948285215511e-07) q[1];
cx q[2], q[1];
rz(-0.5698699266786225) q[2];
rx(0.6578008209073697) q[2];
h q[3];
cx q[0], q[3];
rz(1.1435948285215511e-07) q[3];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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 \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.777778 | [
1.1435948285215511e-7,
-0.5698699266786227,
0.8976760148695336,
0.858764150438184,
0.6578008209073697,
-2.2179312215672304e-7,
-0.7323750322594127,
-0.1837825357866761,
-0.09561625248230032,
0.3664649548078836,
2.7031261787381847e-7,
-0.4507353837506744,
1.1904463292135272,
1.1313235119654... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 397 |
-6323941343445963502 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 3, 4, 5, 6, 8, 9], [0, 1, 4, 5, 7], [2, 3, 4, 5, 7, 8], [0, 2, 3], [1, 2, 3, 4, 7, 8, 9], [1, 2, 6, 8, 9], [0, 1, 2, 4, 5, 9], [0, 2, 4, 7, 8], [0, 1, 3, 6, 7, 8, 9], [9, 2, 3, 5]]} | {"states": [852, 855], "expectation_value": -1.32327315183079, "params": [[[1.5724, 1.3815000000000002], [1.8706, -0.6294000000000001], [1.5684, 1.5684], [1.5685, 1.5681], [1.5690000000000002, 1.2487000000000001], [1.5684, 1.5726], [1.5686, 1.586], [1.5738, 1.5693000000000001], [1.5689000000000002, -0.0611], [1.5736, -... | 0.07142857142857142 * (Z(1) @ Z(3)) + 0.08095238095238094 * (Z(4) @ Z(3)) + 0.13095238095238096 * (Z(4) @ Z(1)) + 0.14047619047619048 * (Z(5) @ Z(3)) + 0.10714285714285715 * (Z(5) @ Z(1)) + 0.14047619047619048 * (Z(5) @ Z(4)) + 0.047619047619047616 * (Z(6) @ Z(3)) + 0.09761904761904762 * (Z(6) @ Z(1)) + 0.0238095238095... | 15 | 10 | 1 | {"smallest_eigenvalues": [-2.107142857142858], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.107142857142857, "smallest_bitstrings": ["0010101000"], "largest_eigenvalue": 10.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5261505653162928) q[0];
ry(1.5640217183729295) q[1];
ry(1.601125956378347) q[2];
ry(1.8544943314750688) q[3];
ry(1.5209605311082783) q[4];
ry(1.601125956378347) q[5];
ry(1.6745477264894344) q[6];
ry(1.4609302307911551) q[7];
ry(1.3727203507923724) q[8];
ry(1.52988... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIZZIIIII",
"IZIIIIZIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"ZIIIZIIIII",
"ZIIZIIIIII"... | [
0.07142857142857142,
0.08095238095238094,
0.13095238095238096,
0.14047619047619048,
0.10714285714285715,
0.14047619047619048,
0.047619047619047616,
0.09761904761904762,
0.023809523809523808,
0.023809523809523808,
0.10476190476190475,
0.12142857142857143,
0.13095238095238093,
0.057142857142... | 0.97689 | [
1.5261505653162928,
1.5640217183729295,
1.601125956378347,
1.8544943314750688,
1.5209605311082783,
1.6745477264894344,
1.4609302307911551,
1.3727203507923724,
1.5298894215834526,
1.6488834900999156,
-1.5617814569332709,
1.4520888068907767,
1.6667008257110447,
1.5769735014301631,
1.795665... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -2.107142857142858,
"target_ratio": 0.97,
"target_value": -2.043928571428572
} | 38 |
b6e9c67b0c484e488c49b77c22239259 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [7, 39], "expectation_value": -5.9647370286344, "params": [-0.0143, -0.4057, 0.012, -0.35200000000000004, 0.1487, 0.3074, 0.8114, -0.0313, 0.37970000000000004, -0.21100000000000002, 0.5938, 0.0007, 0.7992, -0.0016, 0.8052, 0.0024000000000000002, 0.8042, -0.0045000000000000005, -0.0125, 0.3396, 0.002, 0.3894,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["011100110", "111010100", "111011000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05063792066789199) q[0];
rz(0.8606808344945955) q[0];
rx(-0.07873492857612772) q[1];
rz(1.076956356781917) q[1];
rx(0.37359276343476205) q[2];
rz(1.686298792619433) q[2];
rx(1.294059366768025) q[3];
rz(1.6449490997530383) q[3];
rx(-0.018031833670212133) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"ZIIIIIIZI",
"IIIIZZIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
-2,
-1,
-1.5,
-1,
-1,
0,
-0.5
] | 0.975032 | [
0.050637920667891995,
-0.7101154923003011,
-0.07873492857612771,
-0.4938399700129806,
0.373592763434762,
0.1155024658245362,
1.294059366768025,
0.07415277295814209,
-0.01803183367021213,
-0.1773632098837068,
0.5048354284983142,
0.113781391781667,
0.9554848790105139,
0.07195917365899868,
... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 13 |
02500e6c91748dca7195e4be86cff3e1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [459, 395], "expectation_value": -49.87278511065565, "params": [[[0.5076, 0.3886], [0.5899, 0.41440000000000005], [0.5922000000000001, 0.3957], [0.1715, 0.47050000000000003], [0.0557, 0.24070000000000003], [-0.007, 0.2157], [0.5917, 0.4746], [-0.1029, 0.374], [0.3125, 0.1842], [0.6013000000000001, 0.3967]], ... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(4) @ Z(9)) + 23.5 * Z(2) + 4.5 * Z(0) + 13.0 * Z(1) + 4.5 * Z(3) + 16.5 * Z(6) + 3.0 * Z(5) + -6.0 * Z(7) + 0.0 *... | 15 | 10 | 4 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.0, "smallest_bitstrings": ["1001110100"], "largest_eigenvalue": 131.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.6442565475421318) q[0];
ry(1.228938193119983) q[1];
ry(1.7369613869199587) q[2];
ry(-0.3128421154505545) q[3];
ry(-0.32298044559602535) q[4];
ry(-0.0627560023116403) q[5];
ry(1.0184343241859561) q[6];
ry(-0.23574459388626562) q[7];
ry(0.18588944350823505) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIZIIIII",
"ZIIIIZIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIZIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
23.5,
4.5,
13,
4.5,
16.5,
3,
-6,
0,
0,
-2
] | 0.970305 | [
1.6442565475421318,
1.228938193119983,
1.7369613869199587,
-0.3128421154505545,
-0.32298044559602535,
-0.0627560023116403,
1.0184343241859561,
-0.23574459388626562,
0.18588944350823505,
-0.5682841135115793,
-0.19245304293956572,
0.09971568013399743,
-0.023723291421035488,
-0.03914248155818... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -91,
"target_ratio": 0.97,
"target_value": -88.27
} | 48 |
7e23eef08dcdb4e5133f79c5680febb8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [1279, 3327], "expectation_value": -27.386466450473254, "params": [[[0.5426, 0.0031000000000000003], [0.048, 0.0011], [-0.44630000000000003, -0.016], [0.7736000000000001, 0.0081], [-0.0038, -0.0085], [-0.7164, 0.4161], [0.18780000000000002, 0.44120000000000004], [1.1551, -0.0198], [0.5996, -0.028800000000000... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(7)) + 0.5 * (Z(11... | 15 | 14 | 4 | {"smallest_eigenvalues": [-27.833333333333176], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.83333333333282, "smallest_bitstrings": ["11001100000000"], "largest_eigenvalue": 73.1666666666669} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.9697042079768213) q[0];
ry(0.02137141410040138) q[1];
ry(-0.6584530523431026) q[2];
ry(0.8085638439349074) q[3];
ry(-0.09039089717759916) q[4];
ry(-0.8567762635500705) q[5];
ry(0.22205659028297364) q[6];
ry(1.220541338251762) q[7];
ry(0.959214360246603) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIIIZ",
"IIIIIIIIZZIIII",
"IIIIIIIIZIIIIZ",
"IIIIIIIZIZIIII",
"IIIIIIIZIIIIIZ",
"IIIIIIIZZIIIII",
"IIIIIIIIIZIIZI",
"IIIIIIIIIIIIZZ",
"IIIIIIIIZIIIZI",
"IIIIIIIZIIIIZI",
"IIIIZIZIIIIIII",
"IIIZZIIIIIIIII",
"IIIZIIZIIIIIII",
"IIZIZIIIIIIIII",
"IIZIIIZIIIIIII",
"IIZZIIIIIIIIII"... | [
-0.5,
1,
-1,
0.5,
-0.5,
1,
-1,
0.8333333333333334,
-2,
-1,
0.5,
1,
1,
0.5,
0.5,
1,
1,
2,
2,
1,
0.5,
1,
1,
2,
0.8333333333333334,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
-2,
2,
0.5,
-0.7499999999999998,
1,
0.5,
-1.4999999999999998,
3.5,
5,
7,
... | 0.97152 | [
0.9697042079768213,
0.02137141410040138,
-0.6584530523431026,
0.8085638439349074,
-0.09039089717759916,
-0.8567762635500705,
0.22205659028297364,
1.220541338251762,
0.959214360246603,
0.20299378187023998,
1.1998495248517866,
-0.08788875140151774,
1.3343632175648381,
0.12120878242922446,
... | {
"n_parameters": 106,
"n_qubits": 14,
"optimal_eigenvalue": -27.833333333333176,
"target_ratio": 0.97,
"target_value": -26.99833333333318
} | 74 |
-9156451271853645948 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2, 4], [0, 3], [1, 2], [9, 5], [6, 7], [8, 9]]} | {"states": [233, 201], "expectation_value": -2.647882350766147, "params": [-0.0002, 0.0001, 0.079, 0.0038, 1.6351, 1.5228000000000002, 1.4347, 1.578, 1.6307, 0.6995, 0.007, -0.0158, 1.582, 1.5739, -0.0025, -0.0092, 0.0811, -0.09570000000000001, 1.5687, 1.5832000000000002, 0.041, 0.040600000000000004, 1.0297, 1.04330000... | 0.16666666666666666 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(9) + 0.16666666666666666 * Z(4) + 0.0 * Z(3... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["0011011010", "1100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.03387077682258675) q[0];
rz(pi/2) q[0];
ry(0.08964417943214083) q[1];
ry(1.6169610878136966) q[2];
ry(1.549703653950417) q[3];
ry(1.9851009728409061) q[4];
ry(0.027202708101761543) q[5];
ry(1.6214026048622519) q[6];
ry(0.019620110239697765) q[7];
ry(0.078082011942... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIIIIZII",
"IIIIIZIZII",
"ZIIIIZIIII",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"ZIIIZIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"ZIIIIIIIII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666674,
0.16666666666666666,
0,
0,
0,
0,
0,
0,
0
] | 0.970306 | [
0.03387077682258675,
0.08964417943214083,
1.6169610878136966,
1.549703653950417,
1.9851009728409061,
0.027202708101761543,
1.6214026048622519,
0.019620110239697765,
0.07808201194277095,
1.652652852826735,
0.019134620294981725,
-1.1795128878134298,
1.0242297189551746,
-0.5155206052933434,
... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 14 |
903e48fe1c017d89c939e864aea4e4cc | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "... | {"states": [0, 127], "expectation_value": -4.8305388562688405, "params": [[0.0729], [-0.078]], "bitstrings": ["111111111111", "111110000000"], "total_optimization_steps": 10, "probabilities": [0.0006946394921877322, 0.0007482860836970058], "optimization_time": 3.680964708328247} | 1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(0) @ Z(2)) + -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + -2.5 * (Z(0) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(10) @ Z(6)) + -3.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["111110000000"], "largest_eigenvalue": 47.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.6972307601215738) q[0];
h q[1];
h q[2];
cx q[2], q[0];
ry(-0.6972307601215738) q[0];
cx q[2], q[0];
h q[3];
ry(-1.5748262938254138) q[3];
h q[4];
h q[5];
h q[6];
ry(0.7603647811771711) q[6];
h q[7];
ry(0.5890266214401988) q[7];
h q[8];
ry(0.697230760121573... | 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[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIIZIZII",
"IIIIIIIZIIZI",
"IIIIIIIZZIII",
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIZZIIIII",
"IIIZIZIIIIII",
"IIIZIIZIIIII",
"IZIIIZIIIIII",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"ZIIIIZIIIIII",
"ZIIIIIZII... | [
1,
-2,
0.5,
1,
1,
0.5,
-3,
-2.5,
0.5,
-2.5,
-3,
-3,
-3.5,
-2.5,
-3,
1.5,
0.5,
-3,
1,
0.5,
-2.5,
1.5,
-3,
-2.5,
0.5,
1,
-3,
-2,
0.5,
-2.5,
-2.5,
-2,
-2.5,
2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.929908 | [
1.3944615202431476,
-1.5748262938254138,
1.5207295623543422,
2.8518488019023156,
-0.13835374019034058,
-1.4504549518091114,
1.1780532428803976,
1.544542849855354,
-0.06224342035786717,
0.09271257113234396,
-0.07052416161594459,
0.1269860362517684,
-1.094056017252219,
1.670290778081099,
0... | {
"n_parameters": 97,
"n_qubits": 12,
"optimal_eigenvalue": -40.5,
"target_ratio": 0.97,
"target_value": -39.285
} | 500 |
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