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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [1, 0], "expectation_value": -3.2999224039453154, "params": [0.0001, 0.0921, -0.0023, 0.0881, -0.0044, 0.08370000000000001, 0.0004, 0.0815, -0.0054, 0.052000000000000005, -0.0015, 0.0903, -0.0001, 0.0098, 0.0017000000000000001, 0.0046, -0.002, 0.0012000000000000001, -0.0712, -0.08070000000000001, -0.0697, -0... | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 18 | 3 | 3 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 1} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
c57625ce2de67c1086ad1c24582707c2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [0, 1], "expectation_value": -2.805569528517556, "params": [[[0.0032, 0.4909], [0.6077, 0.0], [0.0029000000000000002, 0.4282], [0.5994, -0.0002], [-0.0029000000000000002, 0.6009], [0.8069000000000001, 0.0037]], [[0.0032, 0.009600000000000001], [0.6071000000000001, 0.0021000000000000003], [0.0022, 0.0022], [0... | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "111010", "101010", "101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.04555174660829865) q[0];
h q[1];
rz(-pi) q[2];
ry(-0.04555174660829865) q[2];
h q[3];
h q[4];
ry(-0.7617454856021101) q[4];
h q[5];
ry(1.6259872692335873) q[5];
cx q[5], q[4];
ry(0.7617454856021101) q[4];
cx q[5], q[4];
ry(0.03538166069087447) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"ZIIIIZ",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.75,
-0.25,
0.5,
-0.75,
0.75,
0.5
] | 0.994308 | [
1.6259872692335873,
-1.6769397797965455,
-1.5234909712042202,
0.07076332138174894,
0.09535941020082443,
0.07848445490394958,
0.12118341278670078
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
-6634949661812369751 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3], [3, 7], [8, 2], [1, 2, 7], [0, 2, 6], [2, 5, 6], [8, 4, 5], [2, 4, 5], [0, 4], [8, 1, 4], [4, 7], [1, 9], [1, 5], [3, 4], [1, 6], [0, 2, 7], [9, 4]]} | {"states": [575, 543], "expectation_value": -4.368510937796663, "params": [2.6518, -0.0018000000000000002, 0.0027, -0.7722, -0.0021000000000000003, -1.0669, 0.0026000000000000003, 1.5692000000000002, 3.1993, 0.7793, 2.5396, 0.0025, 2.7119, -0.0025, 2.9902, 0.002, 3.1398, -0.5658000000000001, 2.5259, 0.0091, 0.7289, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(6) ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-5.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111100000"], "largest_eigenvalue": 12.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.0817222670247415) q[0];
rz(1.525247158811064) q[0];
rx(-0.13531560246730812) q[1];
rz(0.710616183478475) q[1];
rx(-0.07127090359743066) q[2];
rz(0.3579950348751755) q[2];
rx(0.04069602697145091) q[3];
rz(-3.138793980171238) q[3];
rx(-2.290897038680549) q[4];
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": []} | [
"IIIIIIZIIZ",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIIIIIIZIZ",
"IIZIIIIZII",
"IZIIIIIZII",
"IIZIIIIIZI",
"IIIIIIIZZI",
"IZIIIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIIZIIZII",
"IZIIZIIIII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIZIIZIIII",
"IIIIIZIZII"... | [
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.166666666... | 0.977076 | [
3.0817222670247415,
-0.04554916798383183,
-0.13531560246730812,
-0.8601801433164222,
-0.07127090359743066,
-1.2128012919197215,
0.040696026971450916,
1.5735950002134516,
3.9922882684990375,
0.4794325388747034,
2.762514017283576,
-0.2483050687881922,
2.7112156660344913,
-0.09312637291667614... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -5.333333333333334,
"target_ratio": 0.97,
"target_value": -5.173333333333334
} | 11 |
8593b8834e52e999edf6925bd3316e57 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [254, 1022], "expectation_value": -11.582057801355694, "params": null, "bitstrings": ["1100000001", "0000000001"], "total_optimization_steps": 100, "probabilities": [0.14106509804430092, 0.4231096224351833], "optimization_time": 153.27839732170105} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-1.573703454518612) q[0];
rz(-3.14047613888909) q[0];
rx(3.0308115310761083) q[1];
rz(0.6734192784892188) q[1];
rx(2.010554272140748) q[2];
rz(3.0206871183746102) q[2];
rx(-2.1712612108893157) q[3];
rz(2.9532936306481474) q[3];
rx(2.7161758546999044) q[4];
rz(2.5162... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
-1,
-1.5,
-1.5,
0.5,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.94714 | [
-1.573703454518612,
1.5719128414955998,
3.0308115310761083,
-0.8973770483056777,
2.010554272140748,
1.4498907915797135,
-2.1712612108893157,
1.3824973038532513,
2.7161758546999044,
0.9454532969790569,
-0.38895335517297736,
0.6494148310713042,
0.3887215655869767,
0.6918082468814762,
0.665... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 500 |
595cdcca3d729719a799aeb78423947a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [31, 30], "expectation_value": -4.227293146253108, "params": [0.32270000000000004, -0.6286, 0.0025, 0.00030000000000000003, 0.20370000000000002, -0.002, 1.7873, 0.0027, 1.8041, -0.0035, 1.8103, -0.0032, 1.7983, -0.0032, 1.2608000000000001, 0.005, 0.4313, -0.0027, -0.19790000000000002, 1.3653, 1.3792, 1.3644,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(1) + 0.0 * Z(6) + -1.0 * Z(7) + -0.5 * Z(3) + 0.0... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.0, "smallest_bitstrings": ["01111000", "01101001", "00101011", "11110000", "11100001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.1589388498191457) q[0];
rz(0.8559484073620367) q[0];
rx(0.07766004968119922) q[1];
rz(1.5491573609629183) q[1];
rx(-0.017165459660451046) q[2];
rz(1.6282823727972442) q[2];
rx(1.789093977210617) q[3];
rz(1.2081693572351924) q[3];
rx(2.025395491571045) q[4];
rz(1.67... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIIIIZZI",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIZII",
"ZIIIIIZI",
"IIIIZZII",
"ZIIIZIII",
"IIZIIZII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
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,
-1.5,
0,
-1,
-0.5,
0
] | 0.971243 | [
0.1589388498191457,
-0.7148479194328597,
0.07766004968119922,
-0.021638965831978482,
-0.01716545966045105,
0.057486046002346775,
1.7890939772106165,
-0.3626269695597037,
2.025395491571045,
0.10242186843969625,
1.8111684213911243,
-0.13546227803166566,
3.0430286299677225,
0.4571234613293722... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
fca2293c2a9a83d1eeb5cc8ed6acc934 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [23, 116], "expectation_value": -0.19554026706167288, "params": [[-0.010700000000000001, 0.0777], [0.051500000000000004, -0.0557]], "bitstrings": ["1101000", "0001011"], "total_optimization_steps": 10, "probabilities": [0.00884796702531435, 0.008971506640012238], "optimization_time": 6.592051982879639} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011", "1101000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1085452155132307) q[0];
rz(-pi) q[0];
h q[1];
ry(1.4634417096669068) q[1];
ry(-3.116011071267912) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5690578259935095) q[3];
h q[4];
ry(1.517818890375456) q[4];
cx q[4], q[0];
ry(-0.07430717905142728) q[0];
cx q[4], q[0];
ry(0.099359... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-0.5,
-1,
-1,
0,
0
] | 0.998232 | [
-1.5690578259935095,
-1.4202201428075247,
1.517818890375456,
1.4634417096669068,
-0.09421059075376897,
0.14861435810285456,
0.19800617208161359,
0.05479170819511875,
0.1987183954967629,
-0.07382566291840055,
0.046895837035076146,
-0.024793505477716263
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
ce16507f4df4b68459e3b5a73265e8de | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [510, 1023], "expectation_value": -9.174996504253672, "params": [[[-1.0121, 1.1102], [0.0027, 1.1031], [-0.0028, 0.0031000000000000003], [0.0019, -0.0016], [-0.0018000000000000002, -0.0015], [-0.0015, 0.0014], [-0.0029000000000000002, -0.0018000000000000002], [-0.0031000000000000003, -0.0022], [-0.0029000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(2) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.7665170727936429) q[0];
h q[1];
h q[2];
h q[3];
ry(0.1734425697228132) q[3];
cx q[1], q[3];
ry(-0.1734425697228132) q[3];
cx q[1], q[3];
ry(1.5853577304644693) q[1];
cx q[1], q[0];
ry(-0.7665170727936429) q[0];
cx q[1], q[0];
ry(0.06976204622716657) 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] 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5
] | 0.970662 | [
0.6847815492928903,
0.3468851394456264,
1.5853577304644693,
1.5330341455872858,
0.41347647365600954,
1.1949415751942356,
0.615418636102292,
1.9872896054745093,
-0.2523184057707912,
0.13952409245433314,
0.5890111293015909,
0.5270620258394063,
0.580742001538326,
0.2680515851360574,
0.27241... | {
"n_parameters": 55,
"n_qubits": 10,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 119 |
1024677089797442003 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [0, 3], [0, 1]]} | {"states": [17, 20], "expectation_value": -0.016368586241731882, "params": [[0.055200000000000006], [-0.049800000000000004]], "bitstrings": ["01110", "01011"], "total_optimization_steps": 10, "probabilities": [0.03228143188080883, 0.03228143188080883], "optimization_time": 0.32933473587036133} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["01011", "10001", "10100", "01110"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.6096472936917894) q[0];
h q[1];
h q[2];
ry(-0.6096472936917894) q[2];
h q[3];
cx q[3], q[0];
ry(0.6096472936917894) q[0];
cx q[3], q[0];
ry(-0.14165459345979656) q[0];
cx q[1], q[0];
ry(0.14165459345979656) q[0];
cx q[1], q[0];
ry(-0.6971780523209621) q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
rz(x1) q[4];
rz(x1) q[2];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"ZIZII",
"IZIIZ",
"IIIZZ",
"ZIIII",
"IIZII",
"IZIII",
"IIIIZ",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.972329 | [
-1.2192945873835788,
1.4521835898043336,
-0.2833091869195931,
1.462033439918888,
-0.37917710832921414,
0.09147503275303688,
0.3100295811704278,
-0.6041461106806498,
0.1383644011909834,
-0.0467234848630845,
0.14007241826065672,
-0.42275163477832234,
-0.18606388328062476,
0.0401302850457414,... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 14 |
5dad688a93671469362a3d3d00961b05 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [26, 11], "expectation_value": -2.9999374806790073, "params": null, "bitstrings": ["00101", "10100"], "total_optimization_steps": 22, "probabilities": [1.6356888979690063e-05, 0.99996874101375], "optimization_time": 13.462154626846313} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"ZIZII",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
0
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
05e37fdcc559b4ea28aee1cdec9b62c6 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 28], "expectation_value": -5.496515547877275, "params": null, "bitstrings": ["1110010", "1100011"], "total_optimization_steps": 26, "probabilities": [0.06700896400246145, 0.9297460623246107], "optimization_time": 26.97836685180664} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -2.5 * Z(5) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011010", "1100011", "0101011", "1110010"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.21279946582034875) q[0];
rz(0.702917731376641) q[0];
ry(-0.09247790593324082) q[1];
rz(-0.004002404118633354) q[1];
cx q[1], q[0];
ry(-0.3001814298283975) q[0];
rz(0.7085675534458005) q[0];
ry(1.7328305125617918) q[1];
rz(-0.06561626095857535) q[1];
ry(0.635663617... | 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", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IZIIZII",
"ZIIIZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-2.5,
-1,
-1,
0
] | 0.970279 | [
0.21279946582034875,
0.702917731376641,
-0.09247790593324082,
-0.004002404118633354,
0.6356636175581302,
0.060893814363036966,
-0.014268555218433024,
-1.227562224545581,
0.4568018501939876,
-0.4105434248924119,
-0.058395909073960674,
0.47303131021329436,
0.8351236816864176,
-0.708006385331... | {
"n_parameters": 86,
"n_qubits": 12,
"optimal_eigenvalue": -4.03125,
"target_ratio": 0.97,
"target_value": -3.9103125
} | 46 |
d7a525ce4c2e3aa682dbfbc5ee640032 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [19, 67], "expectation_value": -0.5018265259605128, "params": [[0.0674, 0.0534], [-0.0743, -0.059500000000000004]], "bitstrings": ["1101100", "0111100"], "total_optimization_steps": 10, "probabilities": [0.01006342173574264, 0.01006342173574265], "optimization_time": 2.5606629848480225} | 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) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"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 |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [0, 1], "expectation_value": -2.515493927409897, "params": [[[0.0033, 0.0036000000000000003], [0.0023, 0.0044], [-0.0027, 0.001], [0.0026000000000000003, 0.0016], [0.0023, 0.0025], [0.0027, 0.0024000000000000002], [1.6018000000000001, 0.0011]]], "bitstrings": ["1111111", "1111110"], "total_optimization_steps... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000000", "1100000", "1010100", "1100010", "1100100", "1010000", "1100110", "1000100", "1110000", "1110010", "... | 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(0.006599739930172845) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.006599739930172845) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(0.006599739930172845) q[2];
cx q[3], q[2];
rz(0.006599739930173154) q[2];
rx(1.52576029632... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IIIZZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IZIIIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
-0.5,
0.25,
-0.25
] | 0.896155 | [
0.006599739930172845,
-0.059218668570738146,
0.782628674871177,
-1.5687868123923565,
-1.565222460442388,
-1.5704982977894495,
1.5257602963225112
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 198 |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [41, 56], "expectation_value": -0.13338740046475275, "params": [[0.038200000000000005, 0.0164, -0.0148], [-0.0461, -0.033800000000000004, -0.0171]], "bitstrings": ["010110", "000111"], "total_optimization_steps": 10, "probabilities": [0.01696717888490181, 0.016967178884901818], "optimization_time": 3.1946852... | 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 | 3 | {"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];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"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 |
8d8fa5ee6a82ad17d0d6120aef30e861 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [49, 1], "expectation_value": -0.16773315676704964, "params": [[0.0354], [-0.0354]], "bitstrings": ["1001110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.008446192946913435, 0.008568313969178138], "optimization_time": 1.5382394790649414} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4347318003186254) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.16558273416228064) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.026421426916743207) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(-0.43592444188839763) ... | 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[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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"IIZIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.25,
2.5,
-0.75,
-0.75,
-1.25,
-1,
-0.25,
0.25,
-1.5,
2.25,
1.5,
-1.25
] | 0.970144 | [
-0.4347318003186254,
-0.16558273416228064,
0.026421426916743207,
-0.5217462601275333,
0.4586231555137733,
-0.43592444188839763,
-0.33453436399480646,
-0.03001001646313847,
-0.1127609036020698,
0.2503598948291178,
-1.103129003830037,
-0.7059981088306357,
-0.21330762283364263,
0.040023523320... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 182 |
9a4ba729115cab9e89cb59ee0f761092 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -1.7078732130547427, "params": [[1.4303000000000001, 0.1948, 1.5863, 0.2029, 1.5664, 0.24200000000000002, 1.6680000000000001, 1.5433000000000001, 0.2157, 1.5828, 0.1782, 1.5756000000000001, 0.18610000000000002, 1.618, 0.2073, 0.2417], [1.6885000000000001, 0.21450000000000... | 0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0008749999999999999 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0008749999999999999 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0231249999999728], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999999554, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0183749999999896} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5943786181749542) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.03376059023434233) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.03376059023434233) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.5943786181749542) q[3];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00025000000000000006,
0.00025000000000000006,
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.00075,
-0.00075,
-0.0005000000000000001,
-0.00075,
-0.00075,
-0.0005000000000000001,
0.25,
0.000375,
0.000375,
0.00... | 0.98256 | [
-1.5943786181749542,
-0.03376059023434233,
0.0445299660384916,
0.015643914092638066,
-0.020345081953027686,
0.8076926259419518
] | {
"n_parameters": 6,
"n_qubits": 16,
"optimal_eigenvalue": -2.023124999999981,
"target_ratio": 0.97,
"target_value": -1.9624312499999816
} | 22 |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [8, 14], "expectation_value": -2.4999718231256973, "params": null, "bitstrings": ["0111", "0001"], "total_optimization_steps": 16, "probabilities": [1.3834265383317198e-05, 0.9999858819924374], "optimization_time": 5.773272752761841} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"ZIIZ",
"ZIZI",
"ZZII",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
0.5,
0.5,
0.5,
-1,
0,
0,
0
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
0e21e7e272bb4d7e74d44274b1d28420 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [356, 357], "expectation_value": -3.752112884112246, "params": [0.7036, -0.0, 0.7016, 0.001, 0.2159, 0.0031000000000000003, 0.1365, 0.0085, 0.7006, -0.0011, 0.7056, 0.001, 0.7026, -0.0007, 0.7045, 0.0056, 0.6964, -0.0037, 0.2874, 0.0013000000000000002, 0.7086, 0.0035, 0.6961, 0.0028, 0.7038, -0.0009000000000... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(3) + -1.5 * Z(1) + -1.5 * Z(5) + 0.0 * Z(6)... | 6 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["010010011", "010011010"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.661992801907197) q[0];
rz(1.5377598851694092) q[0];
rx(0.16920237526897194) q[1];
rz(2.273167100607206) q[1];
rx(2.6480209184717274) q[2];
rz(1.5556216017278999) q[2];
rx(-0.055920543694893035) q[3];
rz(3.0621404644828587) q[3];
rx(0.09157283664275508) q[4];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIZ",
"IIIIIZIZI",
"IZIZIIIII",
"IIIZIIIZI",
"IIZIIIIZI",
"ZZIIIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"ZIIIZIIII",
"IIIIZIZII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIZIIII",
"IIIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1.5,
-1.5,
0,
-1.5,
-1,
0
] | 0.970668 | [
1.6619928019071966,
-0.033036441625486856,
0.16920237526897192,
0.7023707738123093,
2.6480209184717274,
-0.0151747250669969,
-0.055920543694893035,
1.4913441376879617,
0.09157283664275509,
0.14645314440342172,
0.16527759699188613,
0.8592842045606134,
2.509183179994626,
-0.13577646242994554... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 135 |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [45, 39], "expectation_value": -0.4301564721260429, "params": [[-0.0546, -0.0589], [0.0651, 0.0631]], "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 10, "probabilities": [0.010426600023824405, 0.01068703337174006], "optimization_time": 3.0690016746520996} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10758269301838308) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.10758269301838308) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.10758269301838308) q[2];
cx q[4], q[2];
rz(1.0158526286770417) q[4];
rx(-0.660651681254974... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-0.5,
-1.5,
0
] | 0.977959 | [
0.10758269301838308,
1.0158526286770422,
-1.0830236518770011,
-0.7797930592220781,
0.7529332076282363,
-0.6606516812549744,
-0.1660913770954591,
0.09088404394185104,
-0.5392296610982585,
-0.7289087446503865,
-0.6129435813348304,
0.3486533609480895,
0.5287619526337042,
0.17317995659263544,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 39 |
cf37919d6a949ddf46d1ba52baad11a7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, ... | {"states": [7918, 6894], "expectation_value": -3.1668592290817568, "params": [[[1.7423000000000002, 0.008400000000000001, 0.0025, 0.0034000000000000002], [0.2409, -0.0041, 1.4767000000000001, 0.0092], [1.5873000000000002, 0.008400000000000001, 0.0079, 0.0066], [0.3972, 0.0006000000000000001, 1.3495000000000001, 0.0079]... | 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 * (... | 12 | 13 | 1 | {"smallest_eigenvalues": [-4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -3.4375, "smallest_bitstrings": ["0010110000001", "001010001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9710988307186401) q[0];
rz(-0.02891617297319593) q[0];
rx(0.01057020565881352) q[1];
rz(0.4201067776955153) q[1];
rx(0.17533459356932862) q[2];
rz(-0.2611102377168925) q[2];
rx(0.815311740040549) q[3];
rz(0.3185927358966159) q[3];
rx(0.02598770948038412) 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIIZZZI",
"IIIIIIIIIZZZZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIIIIZZIIII",
"IIIIIIZIZII... | [
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... | 0.971532 | [
0.97109883071864,
0.1852350393243934,
0.01057020565881352,
0.4201067776955153,
0.17533459356932862,
-0.2611102377168925,
0.815311740040549,
0.3185927358966159,
0.02598770948038412,
0.4488470663552064,
0.8538907870390587,
-0.06192037117045744,
0.6391143778249074,
0.6360541241011217,
0.103... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -4.4375,
"target_ratio": 0.97,
"target_value": -4.304375
} | 17 |
135981e0ed720862b340e5f4f8aff5ed | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [1011, 1023], "expectation_value": -0.9029659575492401, "params": [[-0.054], [0.0668]], "bitstrings": ["0000001100", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0014180727728532708, 0.0014180727728532714], "optimization_time": 0.7080540657043457} | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["0000000000", "0000001100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.07291490116812199) q[0];
ry(0.014682680548490042) q[1];
ry(0.014682680548490042) q[2];
ry(-0.10343246341488556) q[3];
ry(-0.015104888876729373) q[4];
ry(0.07576867434603778) q[5];
ry(0.07576867434603778) q[6];
ry(-0.0018395314264746509) q[7];
ry(-0.053227041417630... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIIIZII",
"IIZIIIIIII"... | [
-2,
-2.5,
-2,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5
] | 0.975435 | [
0.07291490116812199,
0.014682680548490042,
-0.10343246341488556,
-0.015104888876729373,
0.07576867434603778,
-0.0018395314264746509,
-0.05322704141763038,
0.034397150838764066,
3.0526644752825667,
-0.038277130106370745,
0.13943469979012124,
-0.22904656158492104,
0.6400330578271586
] | {
"n_parameters": 13,
"n_qubits": 10,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 33 |
1482f4f5abcf5f1c29a93218e5aedf4b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [39, 3], "expectation_value": -0.126778367192402, "params": [[-0.0414], [0.0458]], "bitstrings": ["11011000", "11111100"], "total_optimization_steps": 10, "probabilities": [0.004269831682830995, 0.004300870245105791], "optimization_time": 1.785510778427124} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111100", "11111000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.012185233531157788) q[0];
rz(-0.14371858576511087) q[0];
rx(0.007031030376359929) q[1];
rz(0.2897352875796022) q[1];
rx(0.03703295545914785) q[2];
rz(0.21538689773784236) q[2];
rx(0.018548456488674744) q[3];
rz(0.2631140417298812) q[3];
rx(-0.04106692929657757) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
0.75,
-0.5,
-1.5,
-0.25,
-0.25,
-1,
-1,
-0.5,
-0.5,
-0.25,
-0.25,
-1.25,
0.25,
-0.5,
1,
1.5
] | 0.985377 | [
-0.012185233531157788,
0.16024899196305356,
0.00703103037635993,
0.5162994626624118,
0.03703295545914786,
0.49809845414396875,
0.018548456488674744,
0.6519750213744733,
-0.04106692929657757,
0.5374198011724128,
0.14044029173835149,
0.12062919065026473,
0.705253149582738,
-0.118476525432784... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 3 |
1a8155b224db54664a68f055f033253f | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 3}]} | {"states": [55230, 47070], "expectation_value": -7.968511362329116, "params": [[-0.07, -0.0224, -0.0599, -0.0862], [0.076, 0.028800000000000003, 0.0405, 0.060500000000000005]], "bitstrings": ["0010100001000001", "0100100000100001"], "total_optimization_steps": 10, "probabilities": [0.0001145654811450996, 0.000114565481... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 1 | 16 | 4 | {"smallest_eigenvalues": [-18.49999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.49999999999981, "smallest_bitstrings": ["0100100000100001"], "largest_eigenvalue": 63.500000000000085} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-1.7976347027261054e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-1.7976347027261054e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-1.7976347027261054e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(-1.7976347027261054e-08) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"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,
0.25,
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,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.... | 0.891892 | [
-1.7976347027261054e-8,
-1.2399449651503569e-8,
-1.5707962915080487,
-1.5707964004599495,
1.5707963785331627,
-1.5707963408864278,
-1.5707964034514517,
1.5707963010445554
] | {
"n_parameters": 8,
"n_qubits": 16,
"optimal_eigenvalue": -18.49999999999997,
"target_ratio": 0.97,
"target_value": -17.944999999999972
} | 280 |
9e72b7dd0d69a46b7f007aaed5517323 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [17, 26], "expectation_value": -0.003260253213877887, "params": [[-0.012700000000000001], [0.0177]], "bitstrings": ["101110", "100101"], "total_optimization_steps": 10, "probabilities": [0.015681278405281492, 0.01570941930560148], "optimization_time": 1.9225375652313232} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"IZIZZI",
"IIZZZI",
"IZZIZI",
"IZZZII",
"IZZZZI",
"ZIIZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-1,
-0.125,
-0.125,
-0.125,
-0.625,
-0.5
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
4ef5b8ae9f7c2af9940d89976f60e031 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [97, 1], "expectation_value": -2.2576382950779825, "params": [[-0.0604, -0.0687], [0.0707, 0.0658]], "bitstrings": ["10011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.008495674425043717, 0.010209163926470784], "optimization_time": 3.1192126274108887} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.12795288251019715) q[0];
rz(0.24012887220426693) q[0];
rx(0.0892816584470969) q[1];
rz(0.12199048082542863) q[1];
rx(-0.012922376209588068) q[2];
rz(0.4041909632624687) q[2];
rx(0.13809242364631746) q[3];
rz(0.4687173788579586) q[3];
rx(-0.01794629686584754) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
-0.75,
-1.5,
-1.25,
-0.25,
-0.25,
-0.25,
-1.5,
-2,
2.5,
-1,
-1.75,
0.5,
-0.25,
1,
-0.75,
-1.5,
1.25,
1.5,
-1.75
] | 0.980057 | [
0.12795288251019715,
0.36515474621129923,
0.08928165844709691,
0.3610421282986562,
-0.012922376209588065,
0.6757660327954275,
0.13809242364631746,
0.7349772309805058,
-0.01794629686584754,
0.6399489508110254,
0.02283802795312584,
0.4418410307019969,
0.13336840086936805,
0.48443543887262297... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 7 |
413719666230451686 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 4, 5], [1, 11, 9, 7], [10, 5], [0, 1, 7, 9, 10], [2, 6], [8, 7]]} | {"states": [3991, 3987], "expectation_value": -1.532716154967578, "params": [0.8009000000000001, 0.8641000000000001, 1.2933000000000001, 1.2863, 1.3023, 1.2932000000000001, 1.2997, 1.2957, 1.2993000000000001, 1.2993000000000001, 0.3219, 0.3372, 0.2843, 0.2454, 1.3008, 1.2954, 0.4728, 0.2851, 0.8792000000000001, 0.68980... | 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(11)) + 0.08333333333333333 * (Z(9) @ Z(11)) + 0.133333333333... | 14 | 12 | 1 | {"smallest_eigenvalues": [-2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.1999999999999997, "smallest_bitstrings": ["100001101100", "000001101100", "011000001010", "110001101000", "010100101010", "010010101010", "01000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.05258584085646184) q[0];
rz(pi/2) q[0];
ry(1.1310324798596905) q[1];
ry(1.9267056535351406) q[2];
ry(1.2982296752216218) q[3];
ry(1.3852723925557622) q[4];
ry(-0.29859076471897195) q[5];
ry(-0.3488671957018151) q[6];
ry(1.5254168981091774) q[7];
ry(-0.01558812931... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIZIZIII",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"ZIIIIIIIIIZI",
"ZIZIIIIIIIII",
"IIZIIIIIIIZI",
"ZIIIZIIIIIII",
"IIIIZIIIIIZI",
"IIZIZIIIIIII",
"IZIIIIZIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IIIIIIIIIIZZ",
"IIZIIIIII... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.5,
0.05,
0.05,
0.05,
0.05,
0... | 0.971025 | [
-0.05258584085646184,
1.1310324798596905,
1.9267056535351406,
1.2982296752216218,
1.3852723925557622,
-0.29859076471897195,
-0.3488671957018151,
1.5254168981091774,
-0.015588129310863105,
0.22456060221341118,
1.4609257392946073,
0.6942797381241224,
0.8386455848182188,
0.4203149875480583,
... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 38 |
5d4156bcf03d96be249adb6f40939435 | 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": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 2, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -11.13472212997743, "params": [[-0.042800000000000005], [0.0707]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.00406945344529841, 0.004622009385383993], "optimization_time": 2.1623899936676025} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027343399219059546) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027343399219059546) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027343399219059546) q[2];
cx q[0], q[2];
rz(1.0532120961901006) q[0];
rx(1.3492354281853987) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"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,
17.5,
4,
22.5,
18,
1,
15,
14.5,
13.5,
0
] | 0.970304 | [
0.027343399219059546,
-1.6870621356962872,
1.0532120961901008,
-1.666563796078019,
-1.6741380226720057,
1.5343275272501065,
-1.6148629270271109,
0.41011511092221453,
-1.7980220800840707,
1.5537144309532576,
1.3492354281853984,
-0.08345815635865424,
0.7143590988244952,
1.4436025410262452,
... | {
"n_parameters": 31,
"n_qubits": 9,
"optimal_eigenvalue": -89.5,
"target_ratio": 0.97,
"target_value": -86.815
} | 61 |
00c47f772e828bc0d4453cbe4002ef93 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [21, 7], "expectation_value": -12.59364044578392, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10610002632784891, 0.6139460215007818], "optimization_time": 86.95196652412415} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | 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(-1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.5,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
27e77dc99416ada4c5d281f5cb59d253 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -1.0847854971372195, "params": [[0.0722, 0.07100000000000001, 0.0732], [-0.069, -0.0714, -0.0732]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.018624269348222894, 0.019318197518573204], "optimization_time": 6.3234474658966064} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1000000", "1001000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.001861280777779208) q[0];
ry(-0.5773662085055048) q[1];
ry(-0.10758590765451301) q[2];
ry(0.021903783796151637) q[3];
ry(-0.008785686069597308) q[4];
ry(-0.055595892079957104) q[5];
ry(2.7673418599787256) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.5,
1.5,
-0.5,
0.5,
0.25
] | 0.977551 | [
-0.001861280777779208,
-0.5773662085055048,
-0.10758590765451301,
0.021903783796151637,
-0.008785686069597308,
-0.055595892079957104,
2.7673418599787256,
0.05934540510533431,
0.06567533265908135,
-0.0026966537146873096,
0.0024350819685033907,
-0.12588591029733984,
-0.04433102940974164,
-0.... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 21 |
1bfab1c4d5c093616acd865a51313487 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "... | {"states": [4032, 4092], "expectation_value": -15.319602696164356, "params": [-2.8366000000000002, -0.30110000000000003, -0.049800000000000004, 0.0436, -1.7485000000000002, -1.3773, -0.0012000000000000001, -0.008400000000000001, -0.7104, 0.3109, -1.3375000000000001, 1.3524, 0.9203, 0.921, -0.0207, 0.08990000000000001, ... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -2.0 * (Z(9) @ Z(8)) + -1.5 * (Z(11) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0)... | 14 | 12 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000000", "000000000011"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-2.8937566139175295) q[0];
rz(pi/2) q[0];
ry(0.06861413838939229) q[1];
ry(-1.901887953355721) q[2];
ry(0.2091567124757211) q[3];
ry(-0.6881223827111443) q[4];
ry(-1.5115874443628758) q[5];
ry(1.450996204559721) q[6];
ry(-0.046630172542202336) q[7];
ry(-0.0019044713... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIZIZIII",
"IIIIIIZIIZII",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IIIZIZIIIIII",
"IIZIZIIIIIII",
"IIZIIZIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIZII... | [
-1,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2,
1,
-2,
-2,
1,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.970538 | [
-2.8937566139175295,
0.06861413838939229,
-1.901887953355721,
0.2091567124757211,
-0.6881223827111443,
-1.5115874443628758,
1.450996204559721,
-0.046630172542202336,
-0.0019044713170024083,
0.03470613205594748,
-0.08984270888998655,
-0.19456649167939977,
1.6790797572266796,
0.4423408527890... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 19 |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 1], "expectation_value": -6.193832856874677, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 16, "probabilities": [0.16217477587726464, 0.8147160154427896], "optimization_time": 7.778597354888916} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.403513744402808) q[0];
rz(-pi) q[1];
ry(-0.26244175595439895) q[1];
rz(-pi) q[2];
ry(-0.029488094427819626) q[2];
h q[3];
ry(-1.4713482188317892) q[3];
h q[4];
cx q[4], q[0];
ry(0.403513744402808) q[0];
cx q[4], q[0];
ry(-1.102703959745292) q[0];
ry(1.6020... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-1.5,
-1,
1.75,
-0.75,
-1.25,
-1,
1.5,
-0.25,
0.75,
0.25,
-2.25
] | 0.971362 | [
-1.4713482188317892,
-0.807027488805616,
1.4911052735712893,
-1.102703959745292,
-1.7020375436318982,
-1.833778612837321,
0.221883680341239,
0.20350624481836382,
0.0010810601760510158,
0.1165906038876539
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 14 |
1a9ed9a666e19120fea8169482f67ae7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 15, "source": 1, "target": 6}, {"weight": 19, "source": 1, "tar... | {"states": [500, 244], "expectation_value": -77.8398842669329, "params": [1.5149000000000001, 0.0009000000000000001, 3.0951, 0.009300000000000001, 3.0902000000000003, 0.0067, 3.0872, 0.007200000000000001, 3.0894000000000004, 0.0018000000000000002, 0.6511, 0.0002, 3.0996, 0.0, 0.2823, 0.0027, 0.8567, 0.00960000000000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 173.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.033035796970138795) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.033035796970138795) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.033035796970138795) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.033035796970138795) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"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,
11,
12,
16.5,
22.5,
23,
2.5,
12.5,
0.5,
5
] | 0.970316 | [
0.033035796970138795,
1.1743107495162832,
-0.1865339965274806,
1.266112264251784,
1.5779903775454862,
1.4155310904505956,
-0.6418863950380682,
2.0839555776890832,
-1.4659964772380958,
-0.6930579571127811,
-0.7424560734937793,
0.02330903431462893,
0.16407577822374453,
-0.13813935710762676,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 67 |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [21, 1], "expectation_value": -0.4313106907721322, "params": [[-0.0592], [0.0599]], "bitstrings": ["11101010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00494212415301328, 0.005164211256592474], "optimization_time": 2.2937748432159424} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.008805449081746186) q[0];
rz(0.008805449081746186) q[0];
rx(-0.06507551884342087) q[1];
rz(0.07837949212351895) q[1];
rx(0.11121083091104535) q[2];
rz(-0.12325739099878535) q[2];
rx(0.11121083091104535) q[3];
rz(-0.19545083417781706) q[3];
rx(0.23085209549836783) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-2.25,
-0.5,
-0.75,
-1.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.75,
1.5
] | 0.982302 | [
0.008805449081746186,
-0.06507551884342087,
0.07837949212351895,
0.11121083091104535,
-0.12325739099878535,
-0.19545083417781706,
0.23085209549836783,
0.25202255510293076,
0.018150580089486897,
0.04944532338292,
0.24812448242597843,
2.8641026750519627,
0.20462351945670706
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 10 |
885716898637697417 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 6, 8, 10], [3, 4, 6], [1, 2, 5, 6, 7, 10, 11], [3, 7, 8, 9, 10], [0, 9, 6], [1, 2, 5, 7, 8, 10, 11], [0, 4, 6, 7, 8, 10, 11], [11, 3], [0, 1, 2, 5, 6, 7, 10], [0, 2, 4, 5, 6, 10, 11], [0, 2, 5, 8, 10], [0, 1, 5, 8, 9, 11], [9, 10, 1], [3, 5], [1... | {"states": [239, 751], "expectation_value": -3.9983269506174217, "params": [[[0.7224, 0.0025], [0.7737, 0.0022], [1.6418000000000001, 0.0055000000000000005], [0.0813, 0.0035], [3.1444, 0.009600000000000001], [3.1448, 0.005], [3.1448, 0.0043], [1.2972000000000001, 0.0001], [3.1438, 0.0017000000000000001], [3.13690000000... | 0.15595238095238093 * (Z(1) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.1226190476190476 * (Z(6) @ Z(2)) + 0.09880952380952379 * (Z(6) @ Z(1)) + 0.19999999999999998 * (Z(6) @ Z(3)) + 0.125 * (Z(8) @ Z(2)) + 0.15833333333333333 * (Z(8) @ Z(1)) + 0.08333333333333334 * (Z(8) @ Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.335714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.286904761904762, "smallest_bitstrings": ["110100010000"], "largest_eigenvalue": 16.999999999999986} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.3525505421709341) q[0];
rz(-0.25104224701974004) q[0];
rx(0.21356302076443084) q[1];
rz(-0.4957242874394325) q[1];
rx(2.1321798709880992) q[2];
rz(-0.04686298440048525) q[2];
rx(-0.01927313393575418) q[3];
rz(-0.02139684639421221) q[3];
rx(3.1004660873530456) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIIZIIZIII",
"IIIZIIIIIZII",
"IIIZIIIIIIZI",
"IIIZIIIIZIII",
"IIIZIZIIIIII",
"IZIIIIIIIZII",
"IZIIIIIIIIZI",
"IZIIIIIIZIII",
"IZIIIZIIIIII",
"IZIZIIIIIIII",
"IIIIIIIZIZII",
"IIIIIIIZIIZI",
"IIIIIIIZZ... | [
0.15595238095238093,
0.03333333333333333,
0.03333333333333333,
0.1226190476190476,
0.09880952380952379,
0.19999999999999998,
0.125,
0.15833333333333333,
0.08333333333333334,
0.075,
0.17857142857142855,
0.3214285714285714,
0.08333333333333334,
0.12857142857142856,
0.23095238095238096,
0... | 0.970037 | [
0.3525505421709341,
-0.25104224701974004,
0.21356302076443084,
-0.4957242874394325,
2.1321798709880992,
-0.04686298440048525,
-0.01927313393575418,
-0.02139684639421221,
3.1004660873530456,
0.4037644763626696,
3.08358368885469,
-0.22259215819288955,
0.26535301346941276,
1.8778393335129755,... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -4.335714285714286,
"target_ratio": 0.97,
"target_value": -4.205642857142857
} | 12 |
-9113301954828505956 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4], [0, 6], [8, 5], [0, 3], [1, 5, 6], [0, 2, 7], [8, 1, 7], [2, 3, 5], [0, 5], [1, 2], [8, 6], [4, 6, 7], [2, 5, 7], [0, 1], [1, 3, 7], [8, 3], [1, 4, 6]]} | {"states": [339, 174], "expectation_value": -0.16724259004532852, "params": [[0.0741], [-0.0679]], "bitstrings": ["010101100", "101010001"], "total_optimization_steps": 10, "probabilities": [0.002322165523269154, 0.0023975479353114944], "optimization_time": 4.320629119873047} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.1666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.6063269705677568) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(0.6063269705677568) q[0];
cx q[3], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.21232681634460354) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(x0) q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZIII",
"IIIIIZIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZIIIIZ",
"IIZZIIIII",
"ZIIZIIIII",
"IIIIZIIZI",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"... | [
0.5,
0.5,
0.3333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.1... | 0.423647 | [
0.6063269705677568,
0.21232681634460354,
-0.08303660214714992,
0.06861229491151412,
1.490591349272314,
-0.8512862194047678
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -6.166666666666667,
"target_ratio": 0.97,
"target_value": -5.9816666666666665
} | 168 |
ad4c51642c3f9e57b268fa357afe797e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [217, 153], "expectation_value": -4.549450598853664, "params": [0.9104000000000001, 0.0021000000000000003, 0.6895, -0.1938, 0.0427, -0.4446, 0.8934000000000001, -0.002, 0.9073, 0.0006000000000000001, 0.053700000000000005, 0.3134, 0.0386, 0.38770000000000004, 0.9037000000000001, 0.001, 0.9051, 0.0285, 0.5978,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + -0.5 * Z(3) + ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["01100110", "00110110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.4572938255075747) q[0];
rz(1.4655479601682728) q[0];
rx(0.0868233936008876) q[1];
rz(1.4183021601024386) q[1];
rx(0.10897587010900812) q[2];
rz(1.0831518207533604) q[2];
rx(1.065897576954744) q[3];
rz(1.6015165819155897) q[3];
rx(1.5726696073619575) q[4];
rz(1.4918... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIZZII",
"IIIIZIZI",
"IZZIIIII",
"IIZIIIZI",
"IIIZIZII",
"IZIZIIII",
"IIZZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-0.5,
-0.5,
-1.5,
-1,
-0.5
] | 0.970613 | [
1.457293825507575,
-0.10524836662662335,
0.08682339360088759,
-0.15249416669245788,
0.10897587010900812,
-0.48764450604153636,
1.0658975769547439,
0.030720255120693346,
1.5726696073619575,
-0.07891531765210465,
0.09107152232861562,
0.3693399323225621,
-0.13752627647845486,
0.67070606178827... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 18 |
51b2e32c5f0b0ad4a9a3e5f1ef3bba66 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -40.830162246526605, "params": [-0.47640000000000005, -0.0023, -0.5045000000000001, -0.0979, -0.48350000000000004, 0.045000000000000005, -0.5091, 0.005200000000000001, -0.0048000000000000004, 1.2862, -0.0007, 0.9631000000000001, 0.1764, 0.9207000000000001, -0.31670000000000004,... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(6)) + -3.5 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(8)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(8)) + -2.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(6)) + 1.5 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(8)) + -3.5 * (Z(5) @ Z(3)) + 1.5... | 6 | 9 | 2 | {"smallest_eigenvalues": [-41.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 33.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.3997121042224512) q[0];
rz(1.4819857014106148) q[0];
rx(-0.6814063427213722) q[1];
rz(2.413562535142031) q[1];
rx(-0.2054815709244816) q[2];
rz(1.8744629415494316) q[2];
rx(-0.06032141017990702) q[3];
rz(2.1960195907377766) q[3];
rx(-0.015280862923008912) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIZII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIZIIZIII",
"ZIIIIZIII",
"IIZIZIIII",
"IIIIZIZII",
"ZIIIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"... | [
-1,
-3,
-3.5,
-3.5,
0.5,
1,
1,
0.5,
-4,
-2.5,
-3.5,
1.5,
-4,
-3.5,
1.5,
-3.5,
1.5,
-3.5,
1,
-3.5,
-3.5,
0.5,
0.5,
2.5,
-2.5,
-3,
1,
1.5,
-3,
-3
] | 0.976301 | [
-0.3997121042224511,
-0.08881062538428311,
-0.6814063427213723,
0.842766208347133,
-0.2054815709244816,
0.30366661475453494,
-0.06032141017990702,
0.6252232639428812,
-0.015280862923008912,
0.8594620645505905,
-0.04411238302805447,
0.9782403956433755,
-0.026733118017225346,
0.3909254278110... | {
"n_parameters": 130,
"n_qubits": 9,
"optimal_eigenvalue": -41.5,
"target_ratio": 0.97,
"target_value": -40.254999999999995
} | 40 |
4f9c1bb9cc86662913da6ad2a3367139 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1009, 1019], "expectation_value": -0.05402814682293386, "params": [[-0.0162], [0.008700000000000001]], "bitstrings": ["0000001110", "0000000100"], "total_optimization_steps": 10, "probabilities": [0.0009969832164415172, 0.0009975466799710343], "optimization_time": 1.9635865688323975} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * (Z(6) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-21.0, -21.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.0, "smallest_bitstrings": ["0000000100", "0000001110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.05205831610111998) q[0];
ry(-0.013430880362730619) q[1];
ry(0.04746563100550836) q[2];
ry(-0.07019947872602965) q[3];
ry(0.1306827786194364) q[4];
ry(0.04052314759061204) q[5];
ry(-0.09335091107984757) q[6];
ry(-2.4606937294559166) q[7];
ry(-0.04300553737560367) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIIIZZIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIZIIIIIII"... | [
-2.5,
-2.5,
-2,
-2.5,
1,
-2.5,
-2.5,
0.5,
1,
-2,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5
] | 0.972036 | [
0.05205831610111998,
-0.013430880362730619,
0.04746563100550836,
-0.07019947872602965,
0.1306827786194364,
0.04052314759061204,
-0.09335091107984757,
-2.4606937294559166,
-0.04300553737560367,
0.13612573240937348,
3.0555791595625283,
0.008939191155741752,
-0.6066140789329155,
-0.2670822125... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 23 |
a81a167158580bb999f8e68ace712ae9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [122, 63], "expectation_value": -5.127794985485924, "params": null, "bitstrings": ["0000101", "1000000"], "total_optimization_steps": 52, "probabilities": [0.20957780762037564, 0.7042868365108161], "optimization_time": 49.8320426940918} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.0774828677495163) q[0];
h q[1];
ry(1.5548136672768265) q[1];
h q[2];
ry(1.5454980980603812) q[2];
h q[3];
ry(0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.2542960137412164) q[3];
h q[4];
ry(0.38183747534908374)... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.5,
-0.5,
-0.5,
0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-0.25,
-0.25,
0.5
] | 0.970712 | [
1.5454980980603812,
1.5548136672768265,
1.5805648370330432,
0.7636749506981675,
1.8408249268008032,
0.43803001735649794,
-2.1549657354990326,
1.0310008163067323,
-0.7367755493342508,
-0.9093214752915146,
-0.022856653535134153,
0.2404702180227241,
-1.5901752397015083,
-0.031695334543764365,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 133 |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -1.7498598566152803, "params": null, "bitstrings": ["100011", "110001"], "total_optimization_steps": 40, "probabilities": [0.07847302400775502, 0.672570709162398], "optimization_time": 35.422091007232666} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.3016) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
1dcb3c744ddd55658248ce3c7196418c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [7, 6], "expectation_value": -0.044519007358964025, "params": [[0.06720000000000001], [-0.0609]], "bitstrings": ["000", "001"], "total_optimization_steps": 10, "probabilities": [0.12999572797330747, 0.1321363743179152], "optimization_time": 1.3118479251861572} | -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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[1];
rz(x1) q[0];
rz(x2) q[2];
h q[0];
rz(x3) q[0];
h q[0];
h q[1];
rz(x3) q[1];
h q[1];
h q[2];
rz(x3) q... | {"node": 2} | {"circuits": [], "gradients": []} | [
"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 |
7750233873703748455 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [2, 5, 6], [1, 5], [1, 6], [0, 4], [0, 3, 5], [0, 1, 2]]} | {"states": [90, 91], "expectation_value": -0.7282292229516308, "params": [1.0003, -0.1211, 0.9993000000000001, 0.0048000000000000004, 0.7768, -0.23670000000000002, 0.7755000000000001, 0.0022, 1.0013, -0.0761, 1.0001, 0.0092, 1.006, -0.0334, 0.9994000000000001, 0.0001, 0.5927, 0.22110000000000002, 0.5926, 0.002600000000... | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16... | 5 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.333333333333332, "smallest_bitstrings": ["0110100", "0100100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.4906681629928251) q[0];
rz(-0.5118914353724731) q[0];
rx(0.09800404870573652) q[1];
rz(-1.1501494606956175) q[1];
rx(0.7938683181988508) q[2];
rz(-0.7023042078842141) q[2];
rx(1.7369295434122551) q[3];
rz(-0.2914862013687656) q[3];
rx(0.023411954175642288) 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": []} | [
"IIZZIII",
"IZIZIII",
"IZIIZII",
"ZZIIIII",
"ZIIIZII",
"IZIIIZI",
"IIIIZZI",
"ZIIIIZI",
"IIZIIIZ",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZIZ",
"IIIIIZZ",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI",
"IIIIIIZ"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666663,
0.3333333333333335,
0.3333333333333333,
0.1666666... | 0.974849 | [
1.4906681629928251,
-0.5568337177969327,
0.09800404870573652,
-0.4870438738821515,
0.7938683181988508,
-0.6520970626014815,
1.7369295434122551,
-0.27506877852084216,
0.023411954175642284,
0.2386838415031229,
2.0871809397696763,
-0.3646613404730527,
1.7448790609068465,
0.14975717525572435,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 44 |
3fe92e519bb46ea2db5f298e8e212a34 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1194, 1130], "expectation_value": -114.29512463410167, "params": [[0.0029000000000000002, 0.7885000000000001, -0.0224, 0.0043, 0.3779, 0.2805, 0.7955, 0.16, 0.7897000000000001, 0.0407, 0.7939, -0.0031000000000000003], [0.003, 0.7952, -0.0587, 0.0014, 0.3794, 0.7964, 0.8026000000000001, 0.1887, 0.78750000000... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(11) @ Z(10)) + 2.0 * Z(1) + -5.0 * Z(2) + 7.0 * Z(5) + 1.0 * Z(4) + 16.0 * Z(6) + 11.5 * ... | 10 | 12 | 3 | {"smallest_eigenvalues": [-147.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -133.0, "smallest_bitstrings": ["101110010101"], "largest_eigenvalue": 188.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.0841123838348558) q[0];
ry(0.326052479055593) q[1];
ry(0.047571347935571065) q[2];
ry(-0.05211569168632666) q[3];
ry(0.05126439063403317) q[4];
ry(0.274545380782678) q[5];
ry(0.5643278715616198) q[6];
ry(-0.010681180008255381) q[7];
ry(0.8924899826301927) 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], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIZIIIIII",
"IIIIZIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
2,
-5,
7,
1,
16,
11.5,
23.5,
1,
15,
-7,
-13.5,
-15.5
] | 0.970971 | [
0.0841123838348558,
0.326052479055593,
0.047571347935571065,
-0.05211569168632666,
0.05126439063403317,
0.274545380782678,
0.5643278715616198,
-0.010681180008255381,
0.8924899826301927,
0.12798722622264497,
0.8283445832308713,
-0.041744730130346755,
-0.10069870710816585,
0.8091559663177292... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -147,
"target_ratio": 0.97,
"target_value": -142.59
} | 14 |
-6721001778240162244 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 2, 10], [0, 6], [0, 1], [3, 5], [2, 4], [0, 7], [8, 2], [0, 11], [0, 12]]} | {"states": [1902, 4241], "expectation_value": -2.763230886648637, "params": [[[1.5682, 0.8275], [-1.5750000000000002, 1.5691000000000002], [-0.004200000000000001, 1.5693000000000001], [-0.0029000000000000002, -0.0034000000000000002], [-0.0161, 0.018000000000000002], [1.6612, 1.485], [-1.4037000000000002, 1.5566], [-1.2... | 0.16666666666666666 * (Z(12) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(12)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666674 * Z(5)... | 15 | 13 | 1 | {"smallest_eigenvalues": [-4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.5707963473870383) q[0];
ry(-1.5707962979944128) q[1];
ry(2.5756694085730202e-08) q[3];
ry(-2.8569857211442236e-06) q[4];
ry(1.4952537210256933) q[5];
ry(-1.570796226286472) q[6];
ry(-1.57079622943099) q[7];
ry(1.570796264719507) q[8];
ry(1.5707962309694585) q[9];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIIIIZIIIII",
"IIIIIIIZIIZII",
"ZIIIIIIIIIZII",
"IIIZIIIIIIIIZ",
"IIIIIIIIIIIZZ",
"IIIIZIZIIIIII",
"IIIIIZIZIIIII",
"IIZIIIIIIIIIZ",
"IZIIIIIZIIIII",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIII",
"ZIIIIIIIIIIII",
"IIIIIIIIIIZII",
"IIIZIIIIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666674,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.846154 | [
1.5707963473870383,
-1.5707962979944128,
6.431419558852934e-10,
2.5756694085730202e-8,
-0.0000028569857211442236,
1.4952537210256933,
-1.570796226286472,
-1.57079622943099,
1.570796264719507,
1.5707962309694585,
1.5707962633263235,
1.5707963345269285,
1.5707962763316063,
1.1903580523014814... | {
"n_parameters": 25,
"n_qubits": 13,
"optimal_eigenvalue": -4.333333333333333,
"target_ratio": 0.97,
"target_value": -4.203333333333333
} | 500 |
784a7d1914642d32b8d9e24da5ce100e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [52, 56], "expectation_value": -3.9963978611297515, "params": null, "bitstrings": ["1001011", "1000111"], "total_optimization_steps": 29, "probabilities": [0.06635232627248393, 0.9303264936654667], "optimization_time": 24.676212072372437} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001011", "1000111", "1111000", "0111100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7397964017790035) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.7397964017790035) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.7397964017790035) q[4];
cx q[0], q[4];
rz(0.8795768044253869) q[0];
rx(-0.730140045951841... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[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", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.738887 | [
-0.7397964017790035,
0.8795768044253864,
0.32475766842351955,
-0.7301400459518418,
0.34610326116608253,
-0.07670284995624277,
0.0651643830681458,
1.6023376137444998
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 219 |
c4fd4922d2c165ab37a0955c733d543f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -26.373436907809214, "params": [[-0.0417, 0.007500000000000001, 0.005], [0.07980000000000001, 0.0646, 0.062]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.015497681427187689, 0.016594813155604474], "optimization_time": 6.0793576... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 16.5 * Z(1) + 3.0 * Z(0) + 18.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.029810180010720243) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.029810180010720243) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.029810180010720243) q[2];
cx q[0], q[2];
rz(-0.06686179152681927) q[0];
rx(1.6059265917078847e-08) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
16.5,
3,
18,
12.5,
2.5,
9.5,
12.5,
15
] | 0.923664 | [
-0.029810180010720243,
0.7336274290211755,
-0.06686179152681929,
0.16955226673052048,
1.2441031931681117,
-0.7612827673018912,
0.853920074668443,
2.7115183994821614,
1.6059262359189638e-8,
0.029810161797917772,
0.837168872182548,
-1.5039345290864283,
1.4012440334331926,
0.32669311339272855... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 418 |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [2, 1], "expectation_value": -7.776781023107669, "params": [[-0.0341, -0.0502, -0.0115], [0.043500000000000004, 0.062, 0.0438]], "bitstrings": ["11101", "11110"], "total_optimization_steps": 10, "probabilities": [0.06028802835580021, 0.06258837094497474], "optimization_time": 3.011160373687744} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 10 | 5 | 3 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
-8.5,
-8.25,
-8.5,
-8.25,
-8
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
8a7e976ee8683f3a83557d9b2510d791 | 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": 4, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -23.037685601575653, "params": [-0.0523, 0.0043, -0.038700000000000005, 0.0028, -0.0034000000000000002, 0.23, -0.0011, 0.23270000000000002, 0.3025, 0.002, 0.3008, 0.002, -0.008700000000000001, 0.1859, -0.004200000000000001, 0.193, -0.0039000000000000003, 0.216, -0.0034000000000... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(9) @ Z(1)) + -1.25 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(5)) + 4.75 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(5)) + -1.75 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z... | 6 | 11 | 3 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.1657193401592434) q[0];
rz(1.54833993449345) q[0];
rx(-0.1440977131771932) q[1];
rz(1.9342410170323632) q[1];
rx(0.3639021973219404) q[2];
rz(1.564102355020193) q[2];
rx(-0.10036858011946415) q[3];
rz(1.6442186755057904) q[3];
rx(-0.09912245500859886) 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] 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIZIIIII",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIZIIZI",
"IIIIZIZIIII",
"IZIIIIZIIII",
"IIIIIIZIZII",
"IIIZIIIIIZI",
"IIIZZIIIIII",
"IIIZIIIIZII",
"ZIIIIIIZI... | [
-1,
-1.25,
-0.5,
-0.5,
-0.5,
-0.5,
-1.5,
-1.25,
-0.75,
4.75,
-1.5,
-1.75,
-1.5,
-1.25,
-0.5,
-1.25,
-1.25,
-0.5,
-0.25,
-1,
-1,
-1.25,
-0.75,
-0.75,
-0.5,
-0.25,
-0.5,
0.75,
-1.5,
1.75,
2.25,
1,
-0.25,
-1.5,
-1.25
] | 0.976612 | [
-0.1657193401592434,
-0.02245639230144626,
-0.1440977131771932,
0.3634446902374656,
0.3639021973219404,
-0.006693971774703114,
-0.10036858011946415,
0.07342234871089255,
-0.09912245500859887,
-0.06739575506753134,
0.20944247644646927,
0.5183307390518466,
-0.021219065714443836,
0.4342457403... | {
"n_parameters": 132,
"n_qubits": 11,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 11 |
-5940538871647644883 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 6], [0, 2, 4, 5, 6, 7], [0, 3], [3, 4], [0, 1, 2, 5], [0, 1, 4, 5, 7]]} | {"states": [237, 233], "expectation_value": -1.3308336945478618, "params": [1.2033, -0.2679, 1.1995, 0.002, 1.1923000000000001, -0.036000000000000004, 1.1972, 0.0026000000000000003, 1.1973, -0.2164, 1.1664, 0.0077, 0.3911, 0.46890000000000004, 0.3916, 0.0028, 1.1991, -0.216, 1.2, 0.0055000000000000005, 1.1109, -0.18810... | 0.5 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(0) @ Z(6)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(0)) + 0.0333333... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.1500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1166666666666663, "smallest_bitstrings": ["00010110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.3053899887102425) q[0];
rz(-0.17002857996892562) q[0];
rx(1.8039863266843723) q[1];
rz(-0.29951944097132355) q[1];
rx(2.001231148478431) q[2];
rz(-0.1639753405035771) q[2];
rx(-0.12590139432063044) q[3];
rz(1.2274662580652773) q[3];
rx(1.2632149560039378) 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": []} | [
"IZIIIIZI",
"IZIIIIIZ",
"IIIIIIZZ",
"IZIIIZII",
"IIIIIZZI",
"IIIIIZIZ",
"IZIZIIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IZZIIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIZIIZ",
"IIIZZII... | [
0.5,
0.03333333333333333,
0.13333333333333333,
0.03333333333333333,
0.08333333333333333,
0.11666666666666667,
0.03333333333333333,
0.05,
0.08333333333333334,
0.03333333333333333,
0.03333333333333333,
0.13333333333333333,
0.16666666666666669,
0.11666666666666667,
0.08333333333333334,
0.... | 0.972739 | [
1.3053899887102425,
-0.14297578157472587,
1.8039863266843725,
-0.36113827185109837,
2.001231148478431,
-0.12828708257426177,
-0.12590139432063044,
0.6624326082980744,
1.2632149560039378,
-0.2554537066390039,
0.24417359448829323,
-0.1839178069603084,
-0.11387325209766588,
-0.905764084247630... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -2.1500000000000004,
"target_ratio": 0.97,
"target_value": -2.0855
} | 37 |
918d0720354f72593c99e149eea5ed01 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1962, 1966], "expectation_value": -3.412320934770161, "params": [[[1.5691000000000002, 0.0016], [1.5199, -0.0029000000000000002], [1.6037000000000001, -0.0024000000000000002], [1.5074, 0.0019], [1.3698000000000001, -0.0027], [-0.0047, -0.0022], [0.48510000000000003, -0.6809000000000001], [-0.1479, 0.5371], ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 15 | 12 | 2 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -2.9375, "smallest_bitstrings": ["001010001001", "1000010001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.11100341472157638) q[0];
ry(-0.11280279679784128) q[1];
ry(-0.20974393272431618) q[2];
ry(-0.1349667402194078) q[3];
ry(0.3439396431740829) q[4];
ry(0.530047394115224) q[5];
ry(0.3471431189969528) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZZIII",
"IIIIIZIZZIII",
"IIIIIZZIZIII",
"IIIIIZZZIIII",
"IIIIIZZZZIII",
"IIIIIIIIZIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.970894 | [
-0.11100341472157638,
-0.11280279679784128,
-0.20974393272431618,
-0.1349667402194078,
0.3439396431740829,
0.530047394115224,
0.3471431189969528,
-0.015116441477203271,
-0.03682652652668659,
0.13420639771524737,
-0.3947322486300181,
0.9588753644970154,
1.1356833754499724,
-0.40692746001699... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 39 |
88eb2d3d9a24331dace21487175a71d2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [566, 567], "expectation_value": -5.544750721079184, "params": [[[1.6142, 0.0013000000000000002, 0.007200000000000001, 0.003], [0.0041, -0.3573, 0.0027, 0.0035], [-0.0017000000000000001, 0.0018000000000000002, 0.0079, 0.0088], [0.0019, 0.9701000000000001, 0.0019, 0.0002], [1.6124, 0.0057, 0.0041, 0.005200000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + -2.5 * Z(1) + -0.5 * Z(0) + -1.0 *... | 12 | 10 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0111001000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(3.1280771903278617) q[0];
rz(-0.29583954191873496) q[0];
ry(-0.13583688320991857) q[1];
rz(-0.021221631796968815) q[1];
cz q[1], q[0];
ry(-0.07617804507736069) q[1];
ry(0.04399569280437654) q[2];
rz(0.3758528293165395) q[2];
ry(-0.005827600200167701) q[3];
rz(1.1034... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IZIZIIIIII",
"ZIIIIIIIZI",
"ZIIZIIIIII",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIIIZIZII",
"IIZIIIZIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
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,
-1,
-0.5,
-1.5,
-0.5,
-0.5,
-1,
0,
0
] | 0.985137 | [
3.1280771903278617,
-0.29583954191873496,
-0.13583688320991857,
-0.021221631796968815,
0.04399569280437654,
0.3758528293165395,
-0.005827600200167701,
1.103416858420283,
3.1230772751665072,
0.4568921796171732,
0.05721481756004221,
1.0104292110025896,
0.03277101750677259,
0.3433117089061362... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 21 |
d84f9d44a9dfbf26b97835693b75dc35 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [74, 11], "expectation_value": -10.911873809313136, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 42, "probabilities": [0.060939195303113376, 0.804994725968748], "optimization_time": 34.585487604141235} | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0544957536205479) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.5557826562327215) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.0032907376431637395) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5557826562327215) q[4];
cx... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\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] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-1.75,
-1.5,
-0.25,
-1.5,
-0.75,
2,
-1.25,
-0.5,
-1.75,
-0.25,
1,
0.5,
-0.75,
0.75,
0.5
] | 0.970515 | [
-0.0544957536205479,
-0.5557826562327215,
-0.0032907376431637395,
0.299953952003397,
0.05659349816966682,
-0.066347426645714,
-0.027618368665391912,
0.24420021272805226,
-1.0163539925721223,
0.3888089131107649,
-1.3118888107954043,
0.3953896828377394,
-0.4523545525544179,
0.702687476802465... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 168 |
ced749a911ace56900fad75f3c85d973 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [24, 56], "expectation_value": -4.538684516585663, "params": [-0.006, 0.2006, -0.0031000000000000003, 0.20020000000000002, 0.0761, 0.20070000000000002, 0.07640000000000001, 0.194, 0.40130000000000005, 0.0028, 0.39880000000000004, 0.0063, 0.398, -0.001, 0.4055, -0.0007, 0.4052, -0.0005, 0.4046, -0.002, -0.000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + -1.5 * Z(1) ... | 7 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["10010111", "10110101", "11000111", "01010111", "11001110", "11001011"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rz(-2.9458908744939754) q[0];
ry(3.1320426845157536) q[0];
rz(0.18032309347051978) q[0];
rz(-1.1839532575787326) q[1];
ry(0.05591311117312713) q[1];
rz(-0.07790190858361701) q[1];
rz(0.9349430494937883) q[2];
ry(2.8562499427681716) q[2];
rz(-2.2993862213386613) q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIIIZII",
"IIZZIIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1,
-2,
-1.5,
-1.5,
0,
-0.5
] | 0.974814 | [
1.8178592060510674,
0.009656502637067656,
-0.06406145942871118,
-1.0437544248064483,
1.589711042417197,
-0.17326637507907966,
1.8640750082343984,
0.10006545605888713,
1.5858971473489523,
0.266110852853213,
1.4370849506648473,
0.11878056544766756,
0.14345036759595903,
-0.7301989898656278,
... | {
"n_parameters": 51,
"n_qubits": 14,
"optimal_eigenvalue": -5.250000000000005,
"target_ratio": 0.97,
"target_value": -5.092500000000005
} | 11 |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [374, 371], "expectation_value": -6.299442942899475, "params": null, "bitstrings": ["010001001", "010001100"], "total_optimization_steps": 88, "probabilities": [0.15143116822598657, 0.6686414346247994], "optimization_time": 213.34542298316956} | 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)) + 0.25 * (Z(4) @ Z(2)) + 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)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 1 | 9 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.322389483957614e-09) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-2.322389483957614e-09) q[3];
c... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"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[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
1.5,
1,
1,
1.5,
1,
1.25,
1,
1.25,
1.5
] | 0.714286 | [
-2.322389483957614e-9,
4.1451823289962644e-8,
1.57079638027508,
-1.5711130946503415,
1.570796330588283,
-1.5707963417037913
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 230 |
e104f31aaff273b4fa5fa538ba3fde4a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [17, 81], "expectation_value": -9.499997356645254, "params": null, "bitstrings": ["111101110", "110101110"], "total_optimization_steps": 34, "probabilities": [5.247783531652035e-07, 0.9999981334971454], "optimization_time": 33.22070240974426} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + 1.75 * (Z(8) @ Z(0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["111101110", "111111110", "110111110", "110101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.6076297506325974) q[0];
h q[1];
ry(-1.6076297506325974) q[1];
h q[2];
ry(0.8499546938270016) q[2];
h q[3];
ry(-0.7671930836053993) q[3];
h q[4];
ry(1.6018454204968897) q[4];
cx q[4], q[2];
ry(-0.8499546938270016) q[2];
cx q[4], q[2];
h q[5];
ry(-0.62818338... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIZIII",
"IZIIIIZII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IZIIZIIII",
"IIIZZIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIZII",
"IZIIIIIII",
"... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1.75,
-0.5,
-1.25,
-0.25,
-0.25,
0,
1,
-1,
-1,
1.5,
1.25
] | 0.994358 | [
1.6018454204968897,
1.6849937422262258,
-1.6076297506325974,
1.6999093876540032,
-1.495596626319655,
-1.2563667617200651,
-1.5343861672107986,
-1.4299654093531273,
-0.07709111561543597,
-0.1327043613471936,
-0.14987038388116428,
-0.02359566448317256,
-0.12568951152613844,
-0.02849748278067... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
-3851573408422874833 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 8, 2], [2, 3], [10, 12], [3, 9, 11, 1], [8, 9, 4, 5], [1, 3, 12], [0, 5, 6], [0, 9, 10, 1], [8, 12, 6, 7], [0, 9, 12, 7], [1, 2, 5], [8, 4, 7], [0, 9, 4], [1, 6], [9, 2, 10, 6], [0, 4, 6, 7], [8, 0, 10, 4]]} | {"states": [6846, 6844], "expectation_value": -3.5462684700004017, "params": [1.2951000000000001, 0.0007, 1.2996, 0.0041, 1.2966, 0.0005, 1.2953000000000001, -0.0083, 0.41950000000000004, -0.0599, 0.42150000000000004, 0.0076, 1.2937, 0.0063, 1.1374, 0.0025, 0.6137, -0.37460000000000004, 0.62, 0.0071, 1.2938, -0.0271000... | 0.25 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(10) @ Z(8)) + 0.16666666666666666 * (Z(10) @ Z(0)) + 0.08333333333333333 * (Z(10) @ Z(2)) + 0.08333333333333333 * (Z(12) @ Z(8)) + 0.08333333333333333 * (Z(12) @ Z(0)) + 0.16... | 8 | 13 | 1 | {"smallest_eigenvalues": [-4.999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["0010101000011"], "largest_eigenvalue": 15.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(1.2636808514476452) q[0];
rz(1.6301867598232755) q[0];
rx(1.6733281852859851) q[1];
rz(-0.019692155581385967) q[1];
cx q[1], q[0];
ry(-0.1641874636624391) q[0];
cx q[1], q[0];
ry(1.7850649056465193) q[0];
rz(-1.9982866566325148) q[0];
rx(1.375879224030563) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIIZ",
"IIIIZIIIIIZII",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZZII",
"IIZIZIIIIIIII",
"IIZIIIIIIIIIZ",
"IIZIIIIIIIZII",
"ZIIIZIIIIIIII",
"ZIIIIIIIIIIIZ",
"ZIIIIIIIIZIII",
"ZIZIIIIIIIIII",
"IIIZZIIIIIIII",
"IIIZIIIIIIIIZ",
"IIIZIIIIIIZII",
"IIIZIIIIIZIII",
"IIZZIIIIIIIII",
"ZIIZIIIIIII... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666... | 0.974372 | [
1.2636808514476454,
0.05939043302837882,
1.6733281852859851,
-0.019692155581385967,
0.5136321352321606,
0.005805068239541988,
1.9065386030260465,
-0.1432409187431466,
0.04209147276601731,
-0.4484497891717737,
1.625837572428925,
-0.02720739577150913,
0.2943052400562791,
-0.2868689171516921,... | {
"n_parameters": 64,
"n_qubits": 13,
"optimal_eigenvalue": -4.999999999999998,
"target_ratio": 0.97,
"target_value": -4.849999999999998
} | 38 |
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": -2.690341494376489, "params": [[-0.0577, -0.0449], [0.0618, 0.063]], "bitstrings": ["10011", "11100"], "total_optimization_steps": 10, "probabilities": [0.04663077794640261, 0.047946109030190726], "optimization_time": 2.323989152908325} | 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 | 2 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | {"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 |
b301caa8ee54d69b7ea37306c72194d5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [233, 169], "expectation_value": -33.459241492482406, "params": [[[0.601, 0.0009000000000000001], [0.3738, -0.1193], [0.6005, -0.0001], [0.0397, 0.2753], [0.5988, 0.0039000000000000003], [0.0006000000000000001, -0.3672], [-0.0039000000000000003, 0.3261], [0.5967, 0.0018000000000000002]], [[0.5936, 0.00090000... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(0) + -4.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + -8.0 * Z(5) + -4.5 * Z(4)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-46.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["01010110"], "largest_eigenvalue": 72.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.06347993300546761) q[0];
ry(2.992575480203145) q[0];
rz(-2.8384273294090185) q[0];
rz(2.1169877527792913) q[1];
ry(0.32367041637651545) q[1];
rz(-0.9241277141255932) q[1];
rz(0.3928639994170604) q[2];
ry(2.9960386583190366) q[2];
rz(-2.9496046030450467) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
1.5,
-4.5,
0,
0,
-8,
-4.5,
-6,
-1
] | 0.975073 | [
0.7541740997564996,
-0.08897060080098201,
0.0341104565438206,
0.3162561023169565,
0.9646454844957498,
-0.08022338423338521,
-0.015940874132053987,
0.24465601585825247,
1.1360293018527372,
0.15521536851054535,
0.0916895373402746,
-0.42605715799213406,
0.009023942239593907,
0.136073202055540... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -46,
"target_ratio": 0.97,
"target_value": -44.62
} | 12 |
5656897463763334713 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5, 6], [0, 2, 4, 5, 6], [3, 4, 5, 6], [2, 3, 4, 5], [0, 1, 4, 5]]} | {"states": [23, 55], "expectation_value": -1.1573388796418067, "params": null, "bitstrings": ["1101000", "1001000"], "total_optimization_steps": 36, "probabilities": [0.10890189418864281, 0.7792175814653366], "optimization_time": 37.638208627700806} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.05 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(6)) + 0.16666666666666666 * (... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2, -1.2], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1166666666666667, "smallest_bitstrings": ["0000010", "1001000"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.20866915873235167) q[0];
rz(0.4500676887067053) q[0];
rx(2.3349164073992394) q[1];
rz(0.2246999998260425) q[1];
rx(2.5774993079035657) q[2];
rz(0.07933174762666684) q[2];
rx(-0.17650247211596898) q[3];
rz(0.19880342330083844) q[3];
rx(3.1398796839531804) q[4];
rz(... | 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(1.5055) 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", "... | [
"IIIZZII",
"IZIZIII",
"IZIIZII",
"ZIIZIII",
"ZIIIZII",
"ZZIIIII",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZZIII",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IIZIIIZ",
"IZIIIZI",
"IIIIIZZ",
"IIZIIZI",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI"
] | [
0.16666666666666666,
0.25,
0.21666666666666667,
0.16666666666666666,
0.13333333333333333,
0.21666666666666667,
0.05,
0.13333333333333333,
0.05,
0.16666666666666666,
0.13333333333333333,
0.3,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.08333333333333333,
0.0833333... | 0.970336 | [
-0.20866915873235167,
0.4500676887067053,
2.3349164073992394,
0.2246999998260425,
2.5774993079035657,
0.07933174762666684,
-0.17650247211596898,
0.19880342330083844,
3.1398796839531804,
-0.2382185694833568,
-0.41671878757354575,
3.2146127791074743,
0.005279664475504028
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -1.2,
"target_ratio": 0.97,
"target_value": -1.164
} | 9 |
da3c81488557dc57e6e1f0bd43d65336 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [22, 41], "expectation_value": -0.47024422413296485, "params": [[-0.0347, -0.054, -0.0584, -0.0747], [0.01, 0.055, 0.0606, 0.0682]], "bitstrings": ["101001", "010110"], "total_optimization_steps": 10, "probabilities": [0.027313900976443817, 0.027313900976443838], "optimization_time": 5.072725772857666} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
53c6a460d5c9131116ae4a3f106602e2 | 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": 2, "target": 4}, {"source": 3, "target": 4}, {"s... | {"states": [8191, 4095], "expectation_value": -18.024220354810655, "params": [[[-1.6212, 0.008], [-0.0019, 0.0094], [0.0022, 0.001], [0.0024000000000000002, 0.0077], [0.003, 0.0005], [-0.0029000000000000002, 0.0017000000000000001], [0.0028, 0.007], [-0.0028, 0.0097], [0.0021000000000000003, 0.0099], [-0.002100000000000... | -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(1) @ Z(12)) + 0.5 * (Z(1) @ Z(11)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + 0.... | 2 | 13 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000000000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-1.720062537169238) q[0];
rz(-0.020407387139045656) q[0];
rx(-0.028685185454532268) q[1];
rz(0.17812161769769325) q[1];
rx(0.052246168724936426) q[2];
rz(0.20822081767093312) q[2];
rx(-0.0036856587544361608) q[3];
rz(0.01966527930565348) q[3];
rx(0.05086867620133171... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 1} | {"circuits": [], "gradients": []} | [
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIIZZIIIII",
"IIIZZIIIIIIII",
"IIZZIIIIIIIII",
"IIZIZIIIIIIII",
"ZZIIIIIIIIIII",
"ZIIIIIIIIIIZI",
"IZIIIIIIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIIIZZII",
"IIIIIZIIIIIII",
"IIIIIIIZIIIII",
"IIIIIIZIIIIII",
"IIIZIIIIIIIII",
"IIIIZIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972205 | [
-1.720062537169238,
-0.020407387139045656,
-0.028685185454532268,
0.17812161769769325,
0.052246168724936426,
0.20822081767093312,
-0.0036856587544361608,
0.01966527930565348,
0.05086867620133171,
-0.10146690294990005,
-0.09638394848643236,
0.005393840992972118,
0.06449920582673632,
0.00029... | {
"n_parameters": 25,
"n_qubits": 13,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 3 |
7d8b3d8ceec2d81b644dfcbc98592f50 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [510, 382], "expectation_value": -1.9205656889210607, "params": [-0.001, 0.004200000000000001, 0.6035, 0.5991000000000001, 0.3262, 0.3312, 0.5900000000000001, 0.5932000000000001, 0.5775, 0.5625, 0.5982000000000001, 0.5964, 0.5939, 0.5997, 0.5874, 0.5828, 0.5815, 0.5766, 0.1933, 0.1923, 0.0039000000000000003,... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["1000100100", "1010000001", "1001000010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) 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": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII",
"IIIIIZZZZI",
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIIZIIIZZ",
"IIIZIIIIZZ",
"IIIZZIIIIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
... | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -6.894952181296096, "params": [[-0.059000000000000004, -0.0458], [0.07690000000000001, 0.0738]], "bitstrings": ["011110", "111100"], "total_optimization_steps": 10, "probabilities": [0.03326540698097585, 0.03407225538988862], "optimization_time": 3.1523993015289307} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 18 | 6 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
9b45b5fdea58b397fa5dd9ec63b0a714 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [58, 57], "expectation_value": -4.9998990600395805, "params": null, "bitstrings": ["1000101", "1000110"], "total_optimization_steps": 33, "probabilities": [1.6414805254407956e-05, 0.9999303736006054], "optimization_time": 30.14099431037903} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(6) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.2846623904650713) q[0];
rz(0.3596610448125852) q[0];
rx(0.8838653665050334) q[1];
rz(0.17352269666102993) q[1];
rx(1.086897538425664) q[2];
rz(0.015370574451655905) q[2];
rx(0.9052744809698205) q[3];
rz(0.09369799214886676) q[3];
rx(-0.11789549832981455) q[4];
rz(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"IZZIIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-1.5,
-0.5,
-1
] | 0.973753 | [
0.28466239046507125,
0.17060072286679495,
0.8838653665050334,
0.18077219767020736,
1.0868975384256643,
-0.10768172851634447,
0.9052744809698205,
0.10753455423490242,
-0.11789549832981455,
0.0007530583440475691,
0.08263331102693232,
0.3993591215334641,
1.0516327607048899,
0.3237196358611713... | {
"n_parameters": 59,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 14 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | adaptive_vqe | {"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}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [9, 3], "expectation_value": -7.0781618393635375, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.1350325569531364, 0.6529765755302799], "optimization_time": 21.544010162353516} | 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)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
3bcfe4648282d1b3b76d6f42e87e5c5d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 1, "target": 5}, {"weight": 7... | {"states": [126, 118], "expectation_value": -28.66581971882245, "params": [[-0.031900000000000005, -0.00030000000000000003, 0.0043], [0.0562, 0.0587, 0.0664]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01257679867099501, 0.015778478426540118], "optimization_time": 7.994... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(4) @ Z(5)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
12,
4.5,
23,
19,
16,
3.5,
18.5,
13
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
46eda12a93c3695e097f9b7f41839c13 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [14, 46], "expectation_value": -4.041856395651736, "params": [[[0.002, -0.2656, 0.008, 0.009600000000000001], [0.0026000000000000003, 0.2661, 0.0032, 0.0027], [0.6332, -0.0012000000000000001, -0.622, 0.009000000000000001], [0.1499, 0.00030000000000000003, 1.6117000000000001, 0.0004], [0.8886000000000001, -0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(7) + -0.5 * Z(4) + 0.0... | 11 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010001", "110011100", "001101110", "111010100", "011101100", "100011110", "001011110", "011011100", "111100100", "111100001"], "largest_e... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.01983590744712222) q[0];
rz(-0.10144182913894231) q[0];
ry(-0.03374271258578787) q[1];
rz(0.08147012047079992) q[1];
cx q[1], q[0];
ry(0.0923126088731982) q[1];
rz(-0.08602824430792246) q[1];
ry(0.8725133352204195) q[2];
rz(0.005506155517324703) q[2];
ry(0.12161282... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIZIIZII",
"IIIZIIIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
0,
-0.5,
0,
0
] | 0.974195 | [
0.01983590744712222,
-0.10144182913894231,
-0.03374271258578787,
0.08147012047079992,
0.8725133352204195,
0.005506155517324703,
0.1216128224124183,
-0.09432028063014102,
0.779702529861752,
-0.22361058403439,
0.019237224503899385,
-0.14943387375696657,
1.591963690570941,
-0.0437600779728866... | {
"n_parameters": 31,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 12 |
1544988c6452fa79840159cabec617a0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capac... | {"states": [0, 3], "expectation_value": -15.42360622122883, "params": [-0.1661, 0.0067, -0.134, -0.0034000000000000002, 0.0021000000000000003, 0.16290000000000002, -0.0006000000000000001, 0.16090000000000002, -0.0019, 0.1459, 0.001, 0.1563, 0.0039000000000000003, 0.14550000000000002, 0.0027, 0.16, 0.0015, 0.16010000000... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -1.0 * (Z(7) @ Z... | 6 | 10 | 4 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111111110", "1111111100"], "largest_eigenvalue": 18.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.21991237157639332) q[0];
rz(1.8883065486132224) q[0];
rx(0.05960623267992694) q[1];
rz(1.8782531400359819) q[1];
rx(0.10333697073906706) q[2];
rz(1.8763157157781238) q[2];
rx(0.09107531421740404) q[3];
rz(1.5652853808599527) q[3];
rx(-0.31270790172871954) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIZIIIZII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIZIII"... | [
-0.75,
-0.5,
-0.25,
-0.25,
-1,
-0.75,
-1,
-0.25,
-0.5,
-1,
-1.5,
-0.5,
2.25,
-1,
-1,
-0.25,
-1,
-0.5,
-1.5,
-0.5,
-0.25,
-0.25,
-2.75,
0,
-2.75,
1.5,
1.75,
0.25,
3
] | 0.970376 | [
-0.21991237157639332,
0.3175102218183261,
0.05960623267992694,
0.3074568132410857,
0.10333697073906707,
0.3055193889832275,
0.09107531421740403,
-0.005510945934944347,
-0.31270790172871954,
0.13462944472402377,
0.18458068034576589,
0.05874535421467787,
0.5084344925593844,
0.026157723503872... | {
"n_parameters": 133,
"n_qubits": 10,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 20 |
-3433056714137750198 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 6, 7], [0, 3, 4, 7], [5, 7], [0, 1, 9], [8, 4], [8, 3], [8, 2]]} | {"states": [1016, 493], "expectation_value": -0.6783196333400887, "params": [[0.27940000000000004], [-0.2696]], "bitstrings": ["0000000111", "1000010010"], "total_optimization_steps": 30, "probabilities": [0.0028800158412304426, 0.002883764919583261], "optimization_time": 2.919053316116333} | 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.25 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.1666666... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.9166666666666665, -2.9166666666666665, -2.9166666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["1000010010", "0100000110", "0000000111"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.35317716756119527) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.35317716756119527) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.3531771675611952) q[6];
rx(-0.8059476794900552) q[6];
rz(0.149078... | 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]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IIZZIIIIII",
"IIZIIIIIIZ",
"IIIIIIZIIZ",
"IIZIIIZIII",
"IIIIIZIIIZ",
"IIZIIZIIII",
"IIIIIZZIII",
"IIZIZIIIII",
"IIIIIIIIZZ",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IZIIIIZIII",
"IZIIIZIIII",
"IZIIIIIZII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIZIIIIIII",
"IIIIIIZIII",
"IIIIIZIIII"... | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.45833333333333326,
0.29... | 0.575068 | [
0.35317716756119527,
0.1490786500194091,
-0.019422105505433718,
1.0842602906970698,
1.2419193215252353,
0.2543074559331051,
0.15333861729441575,
-0.1105453230045093,
-0.8059476794900553
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -2.9166666666666665,
"target_ratio": 0.97,
"target_value": -2.8291666666666666
} | 207 |
5f00309bf070152bf46ffab5f9eaa5a4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [250, 218], "expectation_value": -54.77678344668124, "params": [0.0021000000000000003, 0.5703, 0.8998, -0.0064, 0.8951, 0.24150000000000002, 0.47550000000000003, 0.3109, 0.89, 0.0673, 0.8948, 0.2096, 0.2917, 0.3788, 0.9017000000000001, 0.29050000000000004, 0.042300000000000004, 0.5577, 0.004200000000000001, ... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(8) @ Z(7)) + 9.5 * Z(1) + -3.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 7.0 * Z(3) + 10.0 * Z(5) + 2.5 * Z(6) + 5.5 * Z(7) + -1.5 * Z(8) | 18 | 9 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 102.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.077877634674065) q[0];
rz(0.32096114826456734) q[0];
rx(0.983821953789864) q[1];
rz(-0.15819712182691434) q[1];
rx(1.0430131933214986) q[2];
rz(-0.07354756148459982) q[2];
rx(0.012226301421185415) q[3];
rz(0.19139227614101673) q[3];
rx(0.7961472584509041) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
9.5,
-3.5,
12,
7,
7,
10,
2.5,
5.5,
-1.5
] | 0.976353 | [
-0.07787763467406499,
0.6862581276080739,
0.983821953789864,
-0.15819712182691434,
1.0430131933214986,
-0.07354756148459982,
0.012226301421185415,
0.19139227614101673,
0.7961472584509041,
0.2577943435874549,
1.1891810020702027,
0.2557067209742835,
0.10035171551883798,
0.49613759970586635,
... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 10 |
9f43fe75b2280c840369a5d99b502e49 | 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": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [50, 14], "expectation_value": -0.1437470790162401, "params": [[0.0475, -0.027, -0.034], [-0.054, -0.0188, 0.0119]], "bitstrings": ["1001101", "1110001"], "total_optimization_steps": 10, "probabilities": [0.008459256665595178, 0.008555918925510848], "optimization_time": 4.408584833145142} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1010101", "1001101"], "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(0.13798124840612863) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.13798124840612863) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.13798124840612863) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.13798124840612863) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IIZIZII",
"IIZIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-1,
-0.5,
-1.5
] | 0.833582 | [
0.13798124840612863,
1.1427837653768327,
-1.8894360710812084,
1.440063164765446,
1.845482091247767,
-1.5875174889768033,
3.8510997105473463,
-1.0746530285980647,
2.8299754779374093,
0.45330398543812134
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 298 |
-8918761665355681149 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [0, 7], [8, 7], [2, 3], [1, 4], [3, 5]]} | {"states": [417, 457], "expectation_value": -0.06007355929802795, "params": [[-0.06760000000000001], [0.0753]], "bitstrings": ["001011110", "000110110"], "total_optimization_steps": 10, "probabilities": [0.0021979623479737092, 0.0021979623479737092], "optimization_time": 1.2502450942993164} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["000110110", "010100010", "101011101", "100110101", "011001010", "111001001", "001011110", "110100001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.5910445708991574) q[1];
h q[2];
h q[3];
ry(-0.5910445708991574) q[3];
h q[4];
h q[5];
cx q[5], q[3];
ry(0.5910445708991574) q[3];
cx q[5], q[3];
ry(-0.18028206386866497) q[3];
cx q[2], q[3];
ry(0.18028206386866497) q[3];
cx q[2], q[3];
ry(0.9647058... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[8];
rz(x0) q[8];
cx q[7], q[8];... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZI",
"IZIIIIIIZ",
"ZZIIIIIII",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973817 | [
-1.1820891417983148,
1.4354242635648269,
-0.36056412773732993,
1.929411637802374,
-0.5640093694960666,
0.23990724796769153,
-0.3876110295933201,
-0.16915264926447618,
-0.659629132113393,
-0.6451871039173489,
-0.5117620419067861,
-0.7884209820389937,
-0.32916145333572977,
0.6910246613691885... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 49 |
bd840c67c60de5e8a0e6837e43896a66 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [220, 127], "expectation_value": -2.6074676238662158, "params": [[0.042, 0.0587, 0.0579, 0.0668], [-0.0228, -0.0458, -0.0444, -0.0485]], "bitstrings": ["00100011", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00963777590912006, 0.010538143423712034], "optimization_time": 10.01410651206970... | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.35990459281439513) q[0];
ry(0.023198227495002326) q[1];
ry(-0.34517053290632227) q[2];
ry(-0.07570776039062659) q[3];
ry(-0.3300671927820766) q[4];
ry(0.07912328524283957) q[5];
ry(-0.12769810895159228) q[6];
ry(2.542770934701043) q[7];
cx q[7], q[0];
cx q[6], q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IZIZIIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII"
] | [
-1,
-0.5,
-1,
1.75,
-1.5,
-0.75,
-0.5,
-1,
-1.5,
-1.75,
-0.75,
1,
-0.25,
-1.25,
-0.75,
0.25,
-2,
2.25,
0.75
] | 0.971343 | [
0.35990459281439513,
0.023198227495002326,
-0.34517053290632227,
-0.07570776039062659,
-0.3300671927820766,
0.07912328524283957,
-0.12769810895159228,
2.542770934701043,
0.13639105111281324,
0.06582778734862514,
0.014480851916113589,
0.018346416700780566,
0.004479335725910791,
0.2717194537... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 35 |
6e1cfcd2204ce1de490018a33c4c8336 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [81, 80], "expectation_value": -4.502694457319116, "params": [[[1.6032000000000002, 0.0009000000000000001], [-0.0022, 0.0049], [1.6301, 0.0098], [-0.0024000000000000002, 0.0054], [-0.0036000000000000003, 0.0074], [1.4925000000000002, 0.0068000000000000005], [1.5465, 0.0071]]], "bitstrings": ["0101110", "0101... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101110", "0111101", "0101111", "1001111", "1110101", "1110011", "1111100"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10524944140705385) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.10524944140705385) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.10524944140705385) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.10524944140705385) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-2,
-1.5,
-1,
-1
] | 0.965602 | [
0.10524944140705385,
1.6178561021277917,
0.5876842409715187,
0.2839976003443462,
2.197319763470432,
-0.4187489091311876,
-2.4201465484847358,
1.7324458825809739,
0.9317579780948072,
0.39011893728927943,
1.547836175680747,
0.301634374518978,
-4.133975839128747,
-2.606956390131871,
-0.3203... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 500 |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [3, 1], "expectation_value": -0.4800755036748202, "params": [[0.0792], [-0.08510000000000001]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002815700700516189, 0.0028799570935989947], "optimization_time": 2.134697675704956} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.019398678090436997) q[0];
rz(2.084914487441562) q[0];
rx(0.09762454859881467) q[1];
rz(1.9642393875336737) q[1];
rx(0.15349678368786707) q[2];
rz(2.054520407527221) q[2];
rx(0.1508063677983519) q[3];
rz(2.01629317791377) q[3];
rx(-0.20457896895512162) q[4];
rz(1.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.25,
1.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-1,
-0.25,
-1,
0.5,
1.5,
-0.25,
0.75,
0.5,
-0.75
] | 0.973875 | [
-0.019398678090436994,
0.514118160646666,
0.09762454859881467,
0.39344306073877683,
0.15349678368786707,
0.4837240807323244,
0.1508063677983519,
0.44549685111887327,
-0.20457896895512162,
0.3909184559611752,
-0.1069543401062249,
0.5626121896390848,
0.019812075457725918,
0.4101572633914103,... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 6 |
878d094d83cd61d556f3c6e9e2f56136 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [254, 63], "expectation_value": -12.291655159948053, "params": null, "bitstrings": ["00000001", "11000000"], "total_optimization_steps": 82, "probabilities": [0.13192227736430162, 0.8209440526583788], "optimization_time": 113.69887590408325} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.41940174620359777) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.08299545233313925) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.02029136466525549) q[6];
cx q[1], q[6];
cx q[1], q[5];
rz(0.026845424308... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIZI",
"IIZIIIZI",
"IIZIIZII",
"IZZIIIII",
"IIZIZIII",
"IIIZZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-1.25,
-1,
-1.5,
-0.25,
-1.25,
-1.25,
-1,
-0.75,
2.5,
-0.5,
-1,
-0.75,
-0.25,
-2.5,
-0.25,
0.25,
2.75,
-0.25,
0.5,
-0.5,
0
] | 0.970066 | [
-0.41940174620359777,
-0.08299545233313925,
0.02029136466525549,
0.026845424308438882,
-0.1511074400226168,
0.3442445421496284,
0.09946714636891019,
-0.8605793429815163,
0.5448396532517783,
0.8051674819357516,
0.6962537412208902,
1.0029268111275338,
-1.4685811446877874,
-0.6337228587060129... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 207 |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -6.717734519590181, "params": [-0.0047, -0.07010000000000001, 0.0013000000000000002, -0.09340000000000001, -0.0001, -0.15080000000000002, 0.0034000000000000002, -0.1406, 0.0014, -0.1245, 0.0023, -0.12760000000000002, 0.0033, -0.1539, -0.0009000000000000001, -0.1452, 0.00240000000... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.019398678090436997) q[0];
rz(2.084914487441562) q[0];
rx(0.09762454859881467) q[1];
rz(1.9642393875336737) q[1];
rx(0.15349678368786707) q[2];
rz(2.054520407527221) q[2];
rx(0.1508063677983519) q[3];
rz(2.01629317791377) q[3];
rx(-0.20457896895512162) q[4];
rz(1.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.25,
1.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-1,
-0.25,
-1,
0.5,
1.5,
-0.25,
0.75,
0.5,
-0.75
] | 0.973875 | [
-0.019398678090436994,
0.514118160646666,
0.09762454859881467,
0.39344306073877683,
0.15349678368786707,
0.4837240807323244,
0.1508063677983519,
0.44549685111887327,
-0.20457896895512162,
0.3909184559611752,
-0.1069543401062249,
0.5626121896390848,
0.019812075457725918,
0.4101572633914103,... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 6 |
bd9e0113c93c45b06b4996cff164358f | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [255, 254], "expectation_value": -2.6188817701924743, "params": [[-0.0666], [0.07540000000000001]], "bitstrings": ["00000000", "00000001"], "total_optimization_steps": 10, "probabilities": [0.007419940945284829, 0.007569756660237893], "optimization_time": 2.3323473930358887} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + -3.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(1)) + 1.0 ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.07616796533950228) q[0];
h q[1];
ry(0.07616796533950228) q[1];
h q[2];
ry(0.07616796533950228) q[2];
h q[3];
ry(0.07616796533950228) q[3];
h q[4];
ry(0.07616796533950228) q[4];
h q[5];
cx q[5], q[1];
ry(-0.07616796533950228) q[1];
cx q[5], q[1];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2],... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZZIIII",
"IIZIIIZI",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIII... | [
-3,
1,
-2.5,
1,
0.5,
-2.5,
-3,
0.5,
0.5,
-3,
-3.5,
1,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971094 | [
0.15233593067900456,
1.3466517223532093,
1.1743373374464443,
1.9699103012595947,
-0.11289507547920273,
-0.19805369152511781,
0.10730586163778556,
-0.3375600836328495,
-0.10619940126435479,
0.10251657365838052,
0.186792262758056,
-0.09801680957948457,
-0.38076699497540234,
0.102598638687684... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 163 |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [63, 33], "expectation_value": -2.556997398331522, "params": [[-0.062, -0.055, -0.029500000000000002], [0.07730000000000001, 0.0745, 0.060700000000000004]], "bitstrings": ["1000000", "1011110"], "total_optimization_steps": 10, "probabilities": [0.019650115606889056, 0.025698192939798338], "optimization_time"... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5874017135860925) q[0];
h q[1];
ry(1.608914631976602) q[1];
h q[2];
ry(-1.5874017135860925) q[2];
h q[3];
ry(-1.5874017135860925) q[3];
h q[4];
ry(-1.5874017135860925) q[4];
ry(-0.05125907922144988) q[5];
rz(-pi) q[5];
h q[6];
ry(0.7820613171932738) q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IIZIZII",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1,
0.75,
-0.25,
-0.25,
0,
2.5,
-1.75,
-1
] | 0.99923 | [
1.608914631976602,
1.5641226343865475,
-1.5874017135860925,
-1.5438637253244718,
0.04865295550204985
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 1 |
2a9ab16bb8bcea71e9f34a77597a5638 | 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": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [120, 122], "expectation_value": -10.971525556646148, "params": null, "bitstrings": ["10000111", "10000101"], "total_optimization_steps": 100, "probabilities": [0.06949627212393182, 0.07974546248591978], "optimization_time": 163.55012106895447} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.21069830025586003) q[0];
rz(-0.44314380018304966) q[0];
rx(0.6758685682189609) q[1];
rz(-0.07231239329845751) q[1];
rx(0.5304567662709817) q[2];
rz(0.0524343513804677) q[2];
rx(-0.2764618131261993) q[3];
rz(0.21560061027038913) q[3];
rx(0.6842987872754291) q[4];
r... | 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(18.1327) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21,
11.5,
7,
19.5,
17.5,
7,
19.5,
0.5
] | 0.970268 | [
-0.21069830025586003,
-0.2661478952017108,
0.6758685682189609,
-0.11332069058319576,
0.5304567662709817,
0.04323630987877809,
-0.27646181312619933,
0.1941591628277346,
0.684298787275429,
-0.08672849227055314,
0.5560224463447703,
0.3101181280349571,
0.13765148430319257,
0.27958925789989647,... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
f8645113517905e1df1749520352d679 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [476, 220], "expectation_value": -8.24828485215092, "params": [[-0.0514], [0.0665]], "bitstrings": ["000100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0038455357162228724, 0.004520952920155766], "optimization_time": 1.8734800815582275} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 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(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10923383720549897) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.10923383720549897) q[2];
cx q[0], q[2];
rz(1.2299948032833266) q[0];
rx(1.0879082958788673) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.10923383720549897) q[3];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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],... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5,
12,
8,
8,
17.5,
12,
6.5,
1
] | 0.859958 | [
0.10923383720549897,
-1.810537491794332,
1.229994803283326,
-1.6856305727411314,
-0.8120803734240312,
-1.7336898352556895,
1.3051021389879203,
1.3879897866400888,
1.0879082958788673,
-0.4710384321704608,
1.265319859463496,
-0.1555024889011401,
0.4251206411461428,
-0.2861529194851915,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 500 |
-4555375454082074671 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 7], [2, 5], [5, 7], [1, 3], [0, 1], [3, 7], [6, 7], [0, 2]]} | {"states": [142, 158], "expectation_value": -0.016339630798103633, "params": [[[1.6360000000000001, 0.0037], [1.5294, 0.0008], [1.4801, 0.0022], [1.6096000000000001, 0.0026000000000000003], [1.6108, 0.0007], [1.6403, 0.0016], [1.6151, 0.0077], [1.504, 0.0015]]], "bitstrings": ["01110001", "01100001"], "total_optimizati... | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["10011110", "01100001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.523965662372588) q[0];
h q[1];
ry(-0.17649956165060726) q[1];
h q[2];
ry(-0.3485319813160536) q[2];
h q[3];
ry(1.523965662372588) q[3];
h q[4];
cx q[4], q[1];
ry(0.17649956165060726) q[1];
cx q[4], q[1];
ry(-0.5401643608676168) q[1];
ry(1.1897400201574868) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIIZIZ",
"ZIZIIIII",
"IIZIIZII",
"IIIIZIZI",
"ZIIIZIII",
"ZZIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
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
] | 0.970002 | [
-0.3529991233012145,
1.523965662372588,
-1.0803287217352335,
-0.6970639626321072,
1.4849954525627467,
-0.41228305762330386,
1.1897400201574868,
-0.23188026747693485,
-0.4559491142825426,
0.39655804779038806,
0.1359235434087551,
0.058811784252858795,
-0.22802955551784573,
0.2940053002807378... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 15 |
08b9883600e02731f158b2b1d5d9c9bd | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [5, 1], "expectation_value": -11.594555195733763, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 29, "probabilities": [0.38383946216887405, 0.46981555290989097], "optimization_time": 29.499812841415405} | -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 | 4 | {"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];
... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"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 |
eb4434250287b59967f48eb02c1a0ef6 | 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": [90, 91], "expectation_value": -118.86941331782988, "params": [[0.002, -0.0032, 0.0016, 0.006900000000000001, 0.9065000000000001, -0.2255, 0.9841000000000001, 0.9821000000000001, 0.0717, 0.7188, 0.2501], [0.0008, 0.0007, 0.0022, 0.0043, 0.5937, 0.096, 0.042, 0.16060000000000002, -0.017, 0.6746, -0.2782], [0.... | 7.5 * (Z(1) @ Z(7)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(0) @ Z(9)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(5)) + 20.5 * Z(7) + -7.0 * Z(1) + 23.0 * Z(4) + -7.0 * Z(3) +... | 10 | 11 | 4 | {"smallest_eigenvalues": [-129.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["11110100100"], "largest_eigenvalue": 177.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.12660615947668324) q[0];
ry(0.09572507643237162) q[1];
ry(-0.01733889183398687) q[2];
ry(-0.12045450490131988) q[3];
ry(0.6932630667481418) q[4];
ry(-0.24278306941772881) q[5];
ry(0.8710643717129704) q[6];
ry(1.0813719816108447) q[7];
ry(-0.06525903030343692) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IZIIIIIIIIZ",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIZIIIII",
"IIIZIIIIIII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IZIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
20.5,
-7,
23,
-7,
16.5,
24.5,
6.5,
-5.5,
4.5,
-0.5,
-11.5
] | 0.974714 | [
0.12660615947668324,
0.09572507643237162,
-0.01733889183398687,
-0.12045450490131988,
0.6932630667481418,
-0.24278306941772881,
0.8710643717129704,
1.0813719816108447,
-0.06525903030343692,
0.9207084723432181,
0.38234762904922726,
-0.11488979683451424,
0.12725728774842496,
-0.0673651456361... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -129,
"target_ratio": 0.97,
"target_value": -125.13
} | 17 |
fbeca3287c88ac656e8f44e35837a20d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [173, 109], "expectation_value": -33.36837699923367, "params": null, "bitstrings": ["01010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.0674883042215478, 0.26759242894517665], "optimization_time": 172.23651146888733} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 117.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.4621200799157078) q[0];
rz(2.5310802994442465) q[0];
rx(1.0371216398864838) q[1];
rz(1.2936490653800785) q[1];
rx(1.5502854236584591) q[2];
rz(1.6255839899431388) q[2];
rx(2.0270665855362484) q[3];
rz(2.37946354203517) q[3];
rx(1.626482565654) q[4];
rz(1.4004363227... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) 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[... | [
"IIIIIIZZ",
"IIIZIIZI",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIIIZZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5.5,
1.5,
19,
14.5,
14.5,
6,
7.5,
-1
] | 0.977034 | [
0.4621200799157078,
0.9602839726493494,
1.0371216398864838,
-0.2771472614148176,
1.5502854236584591,
0.05478766314824232,
2.0270665855362484,
0.8086672152402733,
1.626482565654,
-0.17036000403937762,
1.5389205452174688,
0.023243864098932004,
0.6780255439029278,
-0.006324178265194772,
1.9... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 18 |
47a87bdf07cc47063498596ffad620cd | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6... | {"states": [15, 1], "expectation_value": -3.3060398425888495, "params": [[-0.0526, -0.0455, -0.044500000000000005], [0.0721, 0.055600000000000004, 0.057800000000000004]], "bitstrings": ["1110000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.020328218124661297, 0.025688667963806082], "optimization_ti... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + 3.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + 1.5 * Z(3) + 2.75 * Z(6) + -1.25 * Z(4) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.6439167456375596) q[0];
ry(0.02681113321067513) q[0];
rz(-0.8254950939251424) q[0];
rz(-1.6129589340366464) q[1];
ry(0.09679043368465019) q[1];
rz(1.7911833287797307) q[1];
rz(2.746656283512543) q[2];
ry(0.11739870027006258) q[2];
rz(-2.10418036695263) 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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.75,
-0.5,
3.5,
-0.75,
-1.25,
-2.5,
-1.25,
-0.25,
-1,
1.5,
2.75,
-1.25,
-0.5
] | 0.98969 | [
0.05613628652638576,
0.28671330987640287,
-0.09774063720559814,
-0.025903018917755954,
-0.021533019811019058,
0.29301895617195256,
0.3191194697274359,
0.19847189148966912,
0.37210421282661466,
-0.10822046162696106,
0.32501415811911316,
1.153468314716328,
-0.08450389839505314,
-0.0480774562... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 7 |
a0d529ca36dd3a1366498490d13dd5e2 | vertex_cover | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [10, 14], "expectation_value": -2.0287196033011012, "params": [[[0.5245000000000001, -0.0403], [0.020300000000000002, -0.1665], [0.6518, 1.7476], [1.4752, -0.15710000000000002], [-0.0056, -0.0036000000000000003], [0.1192, 0.0086]]], "bitstrings": ["110101", "110001"], "total_optimization_steps": 180, "probab... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "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(0.08588185594382781) q[0];
cx q[4], q[0];
rz(-0.7796390051316933) q[0];
rx(-0.16223409120890334) q[0];
cx q[4], q[1];
rz(0.08588185594382781) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.08588185594382781) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-0.5,
-1
] | 0.976001 | [
0.08588185594382781,
-0.8756859798659048,
-0.7796390051316935,
-0.4654146534934242,
-0.16223409120890334,
-0.17378727443252442,
2.489205451114607,
-1.1559017135907852,
1.5966900435185638
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 34 |
031bde19006d92e908f1dc22e1fb7974 | 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": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 8}, {"sour... | {"states": [63, 255], "expectation_value": -7.9925874710068205, "params": null, "bitstrings": ["11000000", "00000000"], "total_optimization_steps": 93, "probabilities": [0.15636032598305566, 0.4670008181292783], "optimization_time": 102.46051812171936} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 1.0 * Z(6) + 0.5 * Z(5) + -1.0 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.03703759092631452) q[0];
ry(-0.10644619611163444) q[1];
ry(0.0344378454434858) q[2];
ry(-0.055278475359991974) q[3];
ry(0.06948135351492049) q[4];
ry(0.31902454810079145) q[5];
ry(0.06948135351492049) q[6];
ry(-0.13809416760795773) q[7];
cx q[7], q[0];
cx q[6], q[... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[7], 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",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1
] | 0.977681 | [
-0.03703759092631452,
-0.10644619611163444,
0.0344378454434858,
-0.055278475359991974,
0.06948135351492049,
0.31902454810079145,
-0.13809416760795773,
3.1688219934308886,
-0.017763723753566635,
0.02238548066456226,
-0.08778899776477263,
-0.03551592038953511,
-0.14221577294177784,
-0.028172... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 71 |
30817b6a61eae6109bfdbb2e6204f6e8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [129, 137], "expectation_value": -10.919441561269206, "params": [-0.0033, 0.005200000000000001, 1.5997000000000001, 0.0055000000000000005, 0.0026000000000000003, 0.0071, 1.1829, 0.0036000000000000003, 1.1822000000000001, 0.0092, 1.592, 0.0023, 0.0027, 0.0081, -0.0027, 0.0097, 1.6161, 0.003, 0.0099, 0.0025, 0... | -1.0 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -1.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(8)) + -1.25 * Z(2) + -0.25 * Z(0) + -4.5 * Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -14.0, "smallest_bitstrings": ["101010110", "101000100", "101110110", "101100110", "101000110", "101010100"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6930296194241141) q[0];
h q[1];
ry(0.7825623435142364) q[1];
h q[2];
ry(-1.3860592388482282) q[2];
h q[3];
h q[4];
h q[5];
ry(1.57261848360949) q[5];
ry(-0.5317628050156856) q[6];
rz(-pi) q[6];
rz(-pi) q[7];
ry(-0.03418194375268747) q[7];
h q[8];
cx q[8], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"IZIIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII"
] | [
-1,
-1,
-1.5,
-0.5,
2.75,
-0.75,
-1.25,
-0.25,
-1.25,
-1,
-1.25,
-1,
-1.25,
-0.25,
-4.5,
0.5,
0.75,
0.25,
1.25,
1,
2.25
] | 0.964955 | [
-1.0536326399802303,
-1.3860592388482282,
0.029198236402038676,
1.8960357997707717,
-0.4401858692181388,
1.57261848360949,
-0.5690085847745243,
-0.002427722158642418,
-1.6291077484649936,
1.5651246870284727,
0.03936573239828063,
-2.271843555616953,
-3.39068333703899,
1.781336466513601,
0... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 500 |
6360877596394732254 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 6], [3, 5, 6], [0, 6]]} | {"states": [39, 51], "expectation_value": -0.8918036834683889, "params": null, "bitstrings": ["1011000", "1001100"], "total_optimization_steps": 47, "probabilities": [0.1033375571976356, 0.16156820206982636], "optimization_time": 63.52065181732178} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0000000000000002, "smallest_bitstrings": ["1001100", "1010010", "1101000", "101100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5954732512874771) q[0];
ry(-2.506442437438112) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.49735289838452923) q[3];
h q[4];
h q[5];
cx q[5], q[3];
ry(0.49735289838452923) q[3];
cx q[5], q[3];
ry(-0.3530001299360424) q[5];
cx q[3], q[5];
ry(0.3530001299360424... | 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(1.1408) 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", "... | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIII",
"ZIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII",
"IIIIIIZ"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.125,
0.125,
0.125,
0.29166666666666663,
0.16666666666666666,
0.16666666666666666,
0
] | 0.977368 | [
1.370552948425968,
-1.1909465025749542,
0.13194475574003078,
-0.9947057967690585,
-0.40272339730056617,
0.09476105504188653,
-0.7060002598720848,
0.9958742496751882,
0.0735051210415924,
0.7876544534774177,
0.29598331433159514,
-0.5170019633467584,
0.03336042075406776,
0.17214373270061614,
... | {
"n_parameters": 45,
"n_qubits": 7,
"optimal_eigenvalue": -1.0833333333333333,
"target_ratio": 0.97,
"target_value": -1.0508333333333333
} | 22 |
59c7593c47cfd4ca2ab0ec4e9d99b357 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.9863449382970546, "params": [[-0.0307, -0.0199, -0.055600000000000004], [0.0342, 0.0063, 0.054]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00806889717716848, 0.00826770280821297], "optimization_time": 5.841977834701538} | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(1) @ Z(7)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -2.75 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.02620253547107228) q[0];
ry(-0.046454609884771736) q[1];
ry(0.13813538501529748) q[2];
ry(0.07593442227315245) q[3];
ry(-0.06482190271250693) q[4];
ry(-0.20367417839896976) q[5];
ry(-0.05949869706339718) q[6];
ry(2.1939800684657462) q[7];
cx q[7], q[0];
cx q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"ZZIIIIII",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"IIIZIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZIZII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IZZIIIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIII... | [
-1,
-1,
1.25,
-1.25,
-1.5,
-2,
-1.5,
-0.5,
-0.5,
-2.75,
-1.75,
-1.25,
-1,
-0.25,
-1.5,
-0.75,
-0.25,
-1.5,
2.25,
-0.25,
-2.5,
0.25,
-2.5,
1,
0.75,
1
] | 0.97191 | [
-0.02620253547107228,
-0.046454609884771736,
0.13813538501529748,
0.07593442227315245,
-0.06482190271250693,
-0.20367417839896976,
-0.05949869706339718,
2.1939800684657462,
-0.12204536131059038,
0.030467583248756303,
-0.01728564726399001,
0.01041494868003607,
-0.03776129506921314,
-0.10559... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 47 |
bb8d6cb75ebb85af27b654dfabc43af9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [141, 205], "expectation_value": -4.095370341701456, "params": [0.804, 0.0917, 0.8089000000000001, 0.0061, 0.8001, 0.08510000000000001, 0.8068000000000001, 0.0022, -0.011300000000000001, 0.3199, -0.0026000000000000003, 0.006900000000000001, 0.0026000000000000003, 0.4562, 0.0034000000000000002, 0.0046, 0.8056... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + 0.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00110010"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.5384351888852317) q[0];
rz(-0.9023374333414976) q[0];
rx(-0.24293091576690093) q[1];
rz(1.45355150517378) q[1];
rx(-0.11245599533944611) q[2];
rz(0.1573287784839315) q[2];
rx(3.1071168398230617) q[3];
rz(0.039843962148358336) q[3];
rx(0.15602739850631997) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIIIZI",
"IIIIZZII",
"IZIIIZII",
"IIIZZIII",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"ZIIIZIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
0,
-1.5,
-1,
-0.5,
0
] | 0.971101 | [
3.5384351888852317,
-0.9023374333414976,
-0.24293091576690093,
1.45355150517378,
-0.11245599533944611,
0.1573287784839315,
3.1071168398230617,
0.039843962148358336,
0.15602739850631997,
0.10221836358172126,
-0.6448521085914731,
3.021165280147562,
3.4612460170621433,
0.8137448009451637,
0... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -4.0625,
"target_ratio": 0.97,
"target_value": -3.940625
} | 22 |
3f6824c4edf24e816f3464b92c43fccd | 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": [303, 301], "expectation_value": -106.10548008349697, "params": [-0.0024000000000000002, 0.45230000000000004, 0.1726, 0.3129, 0.7023, 0.0025, -0.0013000000000000002, 0.5159, 0.0004, 0.41590000000000005, 0.6990000000000001, 0.0935, 0.2812, 0.2584, 0.6954, -0.0039000000000000003, 0.7021000000000001, 0.1145, 0.... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(0) @ Z(10)) + 1.5 * Z(1) + 16.5 * Z(2) + 17.5 * Z(5) + -5.0 * Z(4) + 5.0 * Z(6) + 24.5 * Z(... | 18 | 11 | 4 | {"smallest_eigenvalues": [-127.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["11011010010"], "largest_eigenvalue": 183.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.07170221785758497) q[0];
rz(0.8284039405528718) q[0];
rx(0.16948495398101143) q[1];
rz(0.402598491460879) q[1];
rx(0.9467613984389623) q[2];
rz(-0.15729647996276178) q[2];
rx(-0.021060580872815517) q[3];
rz(0.5053811173616584) q[3];
rx(0.06286782778086979) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIZIIIIZII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZIIIIIIZII",
"IZIZIIIIIII",
"IIZIIIIIIZI",
"IZZIIIIIIII",
"ZIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1.5,
16.5,
17.5,
-5,
5,
24.5,
10,
7,
-0.5,
-6,
-11.5
] | 0.973338 | [
0.07170221785758497,
0.6550539245531659,
0.16948495398101143,
0.402598491460879,
0.9467613984389623,
-0.15729647996276178,
-0.021060580872815517,
0.5053811173616584,
0.06286782778086979,
0.41191032148799134,
0.809457366415649,
-0.03025432962341993,
0.09246308243936067,
0.29525590810315494,... | {
"n_parameters": 124,
"n_qubits": 11,
"optimal_eigenvalue": -127,
"target_ratio": 0.97,
"target_value": -123.19
} | 10 |
50e1538ced0f034536f800804221a394 | 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": [2372, 2404], "expectation_value": -140.78092397752943, "params": [[0.011600000000000001, 0.6828000000000001, 0.0959, 0.0207, 0.6345000000000001, 0.0195, 0.6206, 0.49870000000000003, -0.003, 0.0357, 0.6508, -0.0026000000000000003, -0.0023], [0.0001, 0.6798000000000001, 0.097, -0.0056, 0.6351, 0.0272000000000... | 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(0) @ Z(4)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(7) @ Z(2)) + 8.5 * (Z(6) @ Z(7)) + 8.5 * (Z(5) @ Z(7)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(10) @ Z(2)) + 8.5 * (Z(10) @ Z(7)) + 8.5 * (Z(9) @ Z(6)) + 8.5 * (Z(9) @ Z(10)) + 8.5 * (Z(12) @ Z(1)) + 10.5 * Z(2) + 9.5 * Z(1) + 10.0 * Z(4) + -4.5 * Z(0)... | 10 | 13 | 4 | {"smallest_eigenvalues": [-172.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -147.0, "smallest_bitstrings": ["1011010011011"], "largest_eigenvalue": 196.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.1222984750930346) q[0];
ry(0.7327306660206773) q[1];
ry(-0.0022946921032615253) q[2];
ry(0.08212693612649134) q[3];
ry(0.5769654991977543) q[4];
ry(-0.0969708483677859) q[5];
ry(0.8381150820083043) q[6];
ry(0.8771231039911611) q[7];
ry(-0.06810566563185133) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIZIIIIZII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIZZIIIII",
"IIZIIIIIIIZII",
"IIZIIZIIIIIII",
"IIIZIIZIIIIII",
"IIZZIIIIIIIII",
"ZIIIIIIIIIIZI",
"IIIIIIIIIIZII",
"IIIIIIIIIIIZI",
"IIIIIIIIZIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIZI... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
10.5,
9.5,
10,
-4.5,
-4.5,
22.5,
17.5,
0.5,
14,
1,
-8,
-12.5,
-13
] | 0.975189 | [
0.1222984750930346,
0.7327306660206773,
-0.0022946921032615253,
0.08212693612649134,
0.5769654991977543,
-0.0969708483677859,
0.8381150820083043,
0.8771231039911611,
-0.06810566563185133,
0.018926209856304284,
0.741839347567045,
-0.1487246374244673,
0.17177986181408372,
0.07034482144172341... | {
"n_parameters": 59,
"n_qubits": 13,
"optimal_eigenvalue": -172,
"target_ratio": 0.97,
"target_value": -166.84
} | 11 |
8cf72b25e2d0af3364d579ef12541af8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -24.003725847976668, "params": [[[-0.0118, -0.0095], [0.0032, -0.0034000000000000002], [-0.0015, -0.0022], [-0.0009000000000000001, -0.0022], [0.0037, -0.0028], [-0.0004, -0.0029000000000000002], [-0.0058000000000000005, -0.0029000000000000002], [-0.0001, 0.0028], [-0.00390... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(5)) + 1.25 * ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.012353678121792411) q[0];
ry(0.007738423647993091) q[1];
ry(0.1670515180460214) q[2];
ry(0.10339142994227585) q[3];
ry(0.038742201210300024) q[4];
ry(0.02146452244227013) q[5];
ry(0.00042622256231369807) q[6];
ry(-0.03201964246643299) q[7];
ry(0.17229409135714036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZZIIIII",
"IIIIZIIIIIZ",
"IIIIZIIIIZI",
"IIIIIIIZIZI",
"IIZIIZIIIII",
"IIZIIIIIIZI",
"IIZIIIIZIII",
"ZIIIIZIIIII",
"ZIIIZIIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"IIIIIZIIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIZIIIIIZII",
"ZIIIIIIIZII",
"IIIIIZZIIII",
"IIIIZIZII... | [
-0.25,
-1.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-1,
-1,
1.25,
-1,
-1,
-0.75,
-0.5,
-0.25,
-0.25,
-1.25,
-0.5,
-0.75,
-1,
-0.5,
-0.75,
-1.75,
-0.75,
-0.5,
-0.75,
-1.25,
-0.5,
-1,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
0,
... | 0.970244 | [
-0.012353678121792411,
0.007738423647993091,
0.1670515180460214,
0.10339142994227585,
0.038742201210300024,
0.02146452244227013,
0.00042622256231369807,
-0.03201964246643299,
0.17229409135714036,
0.2162391699458168,
1.9272631972313257,
-0.10756807352584535,
0.015355947802875712,
0.03444511... | {
"n_parameters": 39,
"n_qubits": 11,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 43 |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1781, 1886], "expectation_value": -0.1789500011948582, "params": [[-0.0436], [0.0523]], "bitstrings": ["100100001010", "100010100001"], "total_optimization_steps": 10, "probabilities": [0.0002672240829454685, 0.00026722408294546857], "optimization_time": 4.658063650131226} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010100010001", "100100010001", "001100001010", "100100001010", "100010100001", "100001100010", "001001010100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIIIIZIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
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0.25,
0.5,
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0.25,
0.25,
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1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
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0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
f4e7d1966de2f9e12f9f1492a49406c3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"sour... | {"states": [261, 293], "expectation_value": -7.164374920922697, "params": [1.7063000000000001, 0.0071, 1.4994, 0.003, 0.0018000000000000002, 0.004200000000000001, 1.6276000000000002, 0.0038, 0.38720000000000004, 0.0063, -0.0033, 0.0037, 1.7144000000000001, 0.0071, -0.0035, 0.0058000000000000005, 1.7129, 0.001, 0.007800... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["001111010", "011011010"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-3.1158084300274314) q[0];
rz(-0.2623145604398278) q[0];
rx(2.6116301811278495) q[1];
rz(0.2086288784166137) q[1];
rx(0.015135723811255546) q[2];
rz(-0.7260713635050089) q[2];
rx(0.5152253576150113) q[3];
rz(0.14255800928877527) q[3];
rx(-0.20749477074538028) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IIIZIIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIZIIII",
"IIIIZIZII",
"IIZZIIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"... | [
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,
-2.5,
-0.5,
-2.5,
-1,
-2.5,
-1.5,
-1.5,
-1,
-1.5
] | 0.979392 | [
3.1673768771521553,
-0.36432937326626635,
2.6116301811278495,
0.24060088503154134,
0.015135723811255546,
-0.3053182606760498,
0.5152253576150112,
0.15703373133624585,
-0.20749477074538025,
0.29561778943677697,
0.1389320419669829,
-0.2190515534217104,
3.064489942016453,
0.01036864060686643,... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 28 |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -3.9964640788483465, "params": null, "bitstrings": ["110100", "111000"], "total_optimization_steps": 21, "probabilities": [0.06634840540222475, 0.9303662461102485], "optimization_time": 12.184194326400757} | 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)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"ZIIIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
0,
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 |
a0afe1db6b2d88e5f1acf9021bcf7820 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"sour... | {"states": [338, 370], "expectation_value": -5.4785885857888585, "params": [[0.785, 0.0022, 0.5791000000000001, -0.1068, 1.0515, -0.0037, 0.0329, 0.7844, 0.0031000000000000003], [0.762, 0.0, 0.6096, 1.0961, 1.0203, -0.0048000000000000004, -0.1056, 0.788, 0.0031000000000000003], [0.7948000000000001, -0.0043, 0.5625, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(8) + -0.5 * Z(7) + -1.0 * Z... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["010001101"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.8741612451785032) q[0];
ry(0.07164089252306978) q[1];
ry(1.0119772876244482) q[2];
ry(-0.33861144391916886) q[3];
ry(1.1939337106593135) q[4];
ry(-0.056212170524833946) q[5];
ry(0.02479565399142654) q[6];
ry(0.7830984014850884) q[7];
ry(0.01478263570292011) q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IIIZIIZII",
"ZIIIIIZII",
"IZZIIIIII",
"IIZIIIZII",
"ZIIIIZIII",
"IIZIIZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5,
0
] | 0.974477 | [
0.8741612451785032,
0.07164089252306978,
1.0119772876244482,
-0.33861144391916886,
1.1939337106593135,
-0.056212170524833946,
0.02479565399142654,
0.7830984014850884,
0.01478263570292011,
0.7557184168088825,
0.0547577792207508,
0.7242390593226565,
1.0921416557603858,
1.046605359812947,
0... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 15 |
78616dde966060f19491de0909028de8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [249, 236], "expectation_value": -21.606507202626986, "params": [[0.0238, -0.0007], [-0.0641, -0.0557]], "bitstrings": ["100000110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.00458242263543694, 0.005528473416814435], "optimization_time": 3.463371515274048} | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(3) @ Z(6)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(6)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 198.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.016745953328455576) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.016745953328455576) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.016745953328455576) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.016745953328455576) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIZIIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIIIZZIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
16,
18,
23,
22.5,
17,
8,
3,
3
] | 0.984123 | [
0.016745953328455576,
-1.5882435553811491,
1.6454375175608271,
1.4504412885273328,
1.6722871805449508,
1.4984159873975005,
1.2686429893941524,
-1.4420247718820314,
-1.5287058910943685,
0.13943328500326502,
-2.1273701607442526,
0.8643201440672986,
0.16133481512067543,
-0.09430544232466391,
... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -94.5,
"target_ratio": 0.97,
"target_value": -91.66499999999999
} | 42 |
ec35ce3891ac4bb821f68ab1691bd73d | 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": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"source": 6, "target": 8}, {"sour... | {"states": [56, 248], "expectation_value": -7.785648544607098, "params": null, "bitstrings": ["11000111", "00000111"], "total_optimization_steps": 44, "probabilities": [0.19915447010079268, 0.5963970948325181], "optimization_time": 45.380532026290894} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6889297525202944) q[0];
cx q[1], q[0];
rz(0.14575789635027325) q[0];
rx(0.9040475238941487) q[0];
rz(0.14575789635027325) q[1];
rx(0.9040475238941487) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(1.2782695310528267) q[2];
cx q[4], ... | 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];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.566198 | [
1.6889297525202944,
1.2782695310528267,
0.14575789635027314,
0.9040475238941488
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 133 |
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