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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [41, 22], "expectation_value": -0.5036788423531917, "params": [[-0.0762, -0.06910000000000001, -0.0722, -0.0779], [0.079, 0.0711, 0.0699, 0.0722]], "bitstrings": ["010110", "101001"], "total_optimization_steps": 10, "probabilities": [0.029890652521293908, 0.029890652521293942], "optimization_time": 6.9610202... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"IZZIIZ",
"ZIZIIZ",
"ZZIIIZ",
"ZZZIII",
"ZZZIIZ",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
4709072898790434795 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [0, 3], [2, 4], [1, 2]]} | {"states": [24, 20], "expectation_value": -1.6686512774797133, "params": null, "bitstrings": ["00111", "01011"], "total_optimization_steps": 26, "probabilities": [0.06087331528495564, 0.7685181518468843], "optimization_time": 15.038725852966309} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100", "01011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
ry(-0.08732190468651176) q[1];
h q[2];
h q[3];
ry(-0.08732190468651176) q[3];
cx q[0], q[3];
ry(0.08732190468651176) q[3];
cx q[0], q[3];
ry(1.4466848408582373) q[0];
ry(-1.1943928738771536) q[3];
h q[4];
ry(-0.08732190468651176) q[4];
cx q[2], q[4];
ry(... | 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];\ncry(-1.0342) q[2], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZIIIZ",
"IZIIZ",
"ZIZII",
"IIZZI",
"ZIIII",
"IIIIZ",
"IZIII",
"IIZII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.989342 | [
-0.1746438093730235,
1.4466848408582373,
-1.000343427588594,
0.8175766331204055,
-0.9637613111486736,
0.18160333656475955,
0.6563759828056536,
-0.8955938056446743,
-0.388098892577119,
-0.5674833163079746,
-0.6001512614536717,
0.25702192163676557,
0.3274591895445207,
-0.2599516397887123,
... | {
"n_parameters": 23,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 14 |
11576eab70c2ec583415b5e8bd58f9e2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [3, 28], "expectation_value": -0.31189579773700893, "params": [[-0.0587, -0.0543], [0.0748, 0.067]], "bitstrings": ["111100", "100011"], "total_optimization_steps": 10, "probabilities": [0.018697217015958088, 0.020286368991273354], "optimization_time": 3.5285801887512207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-0.5,
0
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
d829d3dc25740419582987a309632564 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [42, 56], "expectation_value": -4.996304703004804, "params": null, "bitstrings": ["1010101", "1000111"], "total_optimization_steps": 24, "probabilities": [0.0670649557020334, 0.9295032441322705], "optimization_time": 19.563693523406982} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -0.5 * Z(3) + -1.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -2.0 * Z(6) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010101", "1010011", "0001111", "1000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.1093558231367364) q[0];
rz(-pi) q[0];
h q[1];
ry(1.3063478934090202) q[1];
h q[2];
h q[3];
ry(1.3063478934090202) q[3];
rz(-pi) q[4];
ry(-0.024220261271093464) q[4];
h q[5];
ry(-0.5560478043266734) q[5];
cx q[2], q[5];
ry(0.5560478043266734) q[5];
cx q[2], q[5];
r... | 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[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",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIIZI",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"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,
-1.5,
-1.5,
-1,
-2,
0,
-1
] | 0.996988 | [
-1.577554651097011,
-1.5118550807442095,
-1.5348337841016626,
1.3063478934090202,
-1.112095608653347,
0.5935665487721373,
-0.5462486971428474,
0.6223646716727235,
-0.37074864579400013,
0.31066548496500657,
0.002873854753294852,
-0.12036560792865493,
0.28065673768103055,
0.2188224628718053,... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
1c92797ebdc5766ffafd498d21cf8a8a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [363, 238], "expectation_value": -0.10907642545730406, "params": [[0.0494, 0.0763], [-0.0258, -0.0575]], "bitstrings": ["010010100", "100010001"], "total_optimization_steps": 10, "probabilities": [0.002465841961562085, 0.0024658419615620855], "optimization_time": 7.845038414001465} | 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(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["010010100", "100010001", "001100010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3263252853866216) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3263252853866216) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3263252853866216) q[1];
cx q[1], q[0];
rz(-0.2868445573421025) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IIIZIZIIZ",
"IIZIIZIIZ",
"IIZZIIIIZ",
"IIZZIZIII",
"IIZZIZIIZ",
"IZIIIIIZI",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZZIIIIIZI",
"IIIZZIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0,
-0.125,
-0.25,
0.125,
0.125,
0,
0
] | 0.67707 | [
0.3263252853866216,
-0.2868445573421025,
0.8549473281324195,
0.15280073471375832,
-0.09601834521733131,
0.07301194046511382,
-0.5945200247002729,
0.6127883089730268,
-0.7279343502043079,
1.0826034920116065,
0.3316483973775847,
-0.3459484728746911,
-0.416855612655761
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 280 |
2387818744926818438 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [3, 4, 7], [8, 3], [8, 1, 5], [8, 7], [3, 6], [0, 1], [1, 2, 7], [0, 2, 5], [2, 4], [8, 4, 6], [0, 8, 4], [0, 6, 7], [4, 6, 7]]} | {"states": [285, 157], "expectation_value": -3.50015141858802, "params": [2.2421, 2.2464, -0.0135, -0.007200000000000001, -0.0497, 0.0432, -0.0024000000000000002, -0.0024000000000000002, 1.5773000000000001, 1.5696, 1.5764, 1.5707, 1.5705, 1.5642, 1.5995000000000001, 1.5355, 1.6048, 1.5408000000000002, 0.000900000000000... | 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.3333333333333333 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666666, "smallest_bitstrings": ["101100010"], "largest_eigenvalue": 10.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(2.543571834897251) q[0];
rz(pi/2) q[0];
ry(-0.07134481619320769) q[1];
ry(-0.059654052446677125) q[2];
ry(-0.08781732403827992) q[3];
ry(1.4340337111448151) q[4];
ry(1.5654731725143454) q[5];
ry(1.7016604091511673) q[6];
ry(1.6400145740446375) q[7];
ry(1.433338778896... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IZIZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IIIIZZIII",
"ZZIIIIIII",
"ZIIZIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"IZIIIIIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IZZIIIIII",
"IIZIIZIII",
"IIZIZIIII",
"ZIZIIIIII",
"IZIIIIIIZ",
"IIIZIIIIZ",
"IIIIZIIIZ",
"ZIIIIIIIZ",
"IIIIIIIZZ",
"IIZIIIIIZ",
"... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666... | 0.972308 | [
2.543571834897251,
-0.07134481619320769,
-0.059654052446677125,
-0.08781732403827992,
1.4340337111448151,
1.5654731725143454,
1.7016604091511673,
1.6400145740446375,
1.433338778896689,
-0.2415642048946714,
0.1448210481207717,
0.02608731339152373,
-0.04580371363093447,
-0.03482515513957898,... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -3.666666666666667,
"target_ratio": 0.97,
"target_value": -3.5566666666666666
} | 22 |
71d301879dc942d6c7409e0a7151846a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [1016, 504], "expectation_value": -2.214351962884673, "params": [[[1.4729, 0.0079], [2.0025, 0.0044], [1.9947000000000001, 0.009600000000000001], [2.0106, 0.0022], [1.9971, 0.0053], [1.9003, 0.0091], [2.008, 0.003], [0.15130000000000002, 0.009000000000000001], [0.8615, 0.0013000000000000002], [0.002400000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0100010101", "1000000111", "0010011001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.12487535288213684) q[0];
rz(-0.44467884456450835) q[0];
rx(3.22553821882969) q[1];
rz(0.467940166917315) q[1];
rx(3.031220589484758) q[2];
rz(-0.10400376045404613) q[2];
rx(3.0980268840226746) q[3];
rz(0.08089969869875509) q[3];
rx(2.7441104705484745) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIIZ",
"IIIIIZZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIZZIIIIII",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IIIZIIZIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.125,
0.125,
-0.25,
0.25,
-0.125,
-0.1... | 0.972486 | [
-0.12487535288213684,
-0.44467884456450835,
3.22553821882969,
0.467940166917315,
3.031220589484758,
-0.10400376045404613,
3.0980268840226746,
0.08089969869875509,
2.7441104705484745,
-0.9599267788585346,
3.4055016850221778,
-0.09417316319801422,
2.7576443513321958,
-0.12580707559654752,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
2a9ab16bb8bcea71e9f34a77597a5638 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [50, 54], "expectation_value": -3.2823383157665735, "params": [0.0388, -0.2479, 0.0313, -0.2716, 0.5081, 0.0302, 0.5087, 0.020800000000000003, 0.4988, 0.061200000000000004, 0.49810000000000004, -0.0001, -0.0081, 0.13390000000000002, 0.0031000000000000003, 0.15430000000000002, 0.4692, 0.0723, 0.46630000000000... | 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(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) | 5 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001001"], "largest_eigenvalue": 8.5} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"ZIIIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1.5,
-1,
-1,
0,
0
] | 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 |
8b86b8c78e12bc4605ea690d344857fc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [853, 981], "expectation_value": -2.821486847730801, "params": [[-0.1434, 1.4012, 1.3976000000000002, 0.4178, 1.2718, -0.0881, 1.0964, 0.0032, 0.7366, 0.08270000000000001, 0.9301], [0.0154, -0.00030000000000000003, 0.006500000000000001, -0.0206, 0.6663, 0.0206, 1.008, -0.0026000000000000003, 1.38590000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(8)) + 0.25 * (Z(3) @ Z(8)) + -0.25 * (Z(0) @ Z(3) @ Z(8)) ... | 10 | 11 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.437... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.11920669744375724) q[0];
ry(1.9252508201424514) q[1];
ry(2.0998903902431776) q[2];
ry(0.56188800462726) q[3];
ry(1.4726899163457718) q[4];
ry(-0.1346655007152434) q[5];
ry(0.996913031915014) q[6];
ry(-0.10275167613215101) q[7];
ry(0.6854602440857133) q[8];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIZZZIII",
"IIIZZIIIIII",
"IIIIIIIZIIZ",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIZIIIIZI",
"IIZIIIIIIZI",
"IZIIIIIIIZI",
"IIIIZIZIIII",
"IIZIIIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
... | 0.97554 | [
-0.11920669744375724,
1.9252508201424514,
2.0998903902431776,
0.56188800462726,
1.4726899163457718,
-0.1346655007152434,
0.996913031915014,
-0.10275167613215101,
0.6854602440857133,
-0.22894010122808994,
0.9491217717230883,
-0.0770458490092001,
0.08523896558135396,
-0.13916357234307355,
... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 34 |
6d259388045d20d69ae4242ad2e143d7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [16, 9], "expectation_value": -4.193548698875964, "params": null, "bitstrings": ["01111", "10110"], "total_optimization_steps": 21, "probabilities": [0.07126123316379822, 0.8232615936107338], "optimization_time": 11.672809839248657} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.2266707306631195) q[0];
h q[1];
ry(1.0272541345090267) q[1];
ry(-0.5861463410328833) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.6625309996307737) q[3];
h q[4];
cx q[4], q[0];
ry(0.2266707306631195) q[0];
cx q[4], q[0];
ry(-1.161710436049223) q[0];
ry(1.320414490855... | 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(-1.5681) 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]... | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IZIZI",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-1,
-0.25,
0.5,
0.25,
0.5
] | 0.974474 | [
-0.453341461326239,
1.3204144908550612,
-1.0707147283862435,
2.0545082690180534,
0.03783762275645283,
-1.3250619992615473,
-0.18199141532595858,
-1.1961211419101938,
-0.3696846406039731,
-0.5697898662685712,
0.6076384529352682,
-0.454147025534971,
-0.17281825067926812,
-1.0626170488715485
... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 17 |
96aa688a41503b0eea4bda42198f6281 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 3, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -25.117921872361826, "params": [[0.0008, 0.0269, 0.0078000000000000005, -0.009000000000000001], [-0.0158, -0.0585, -0.0592, -0.049300000000000004]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.00646163825835377, 0.008687931534... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 166.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1309828985838556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1309828985838556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1309828985838556) q[2];
cx q[0], q[2];
rz(-0.1539228319124235) q[0];
rx(-0.11835153931238239) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12,
2,
15.5,
10.5,
16,
22,
14.5,
8,
-1.5
] | 0.971118 | [
0.1309828985838556,
0.594262456020538,
-0.1539228319124228,
0.12446024266432326,
-0.6149272815905993,
-0.08643543530531737,
0.3525135566268864,
0.9509792797491994,
-0.18849338277309924,
-0.7155564044841078,
-0.11835153931238239,
-0.10838480904433179,
0.9411007451254257,
-1.130705164161819,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 54 |
ecdfa6719727c874685bdf2e4be77fdf | 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": 17, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "targ... | {"states": [347, 218], "expectation_value": -19.128666704021022, "params": [[0.0235, 0.0151, -0.0048000000000000004], [-0.0446, -0.056400000000000006, -0.055400000000000005]], "bitstrings": ["010100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.00611646930219862, 0.008036541253084428], "optimiz... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 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) @ Z(1)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 4.0 * Z(0) + 10.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1600009174123589) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.1600009174123589) q[2];
cx q[0], q[2];
rz(-0.7719264209641086) q[0];
rx(-0.132126651824934) q[0];
h q[3];
cx q[2], q[3];
rz(-0.1600009174123589) q[3];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
4,
10.5,
5,
16.5,
11.5,
8,
10.5,
4.5
] | 0.95037 | [
-0.1600009174123589,
0.8135875551295041,
-0.7719264209641092,
0.3112642997869111,
-1.1107828918886062,
-0.0035859949432012327,
0.25353739314454043,
-1.4782590457539677,
-0.13212665182493402,
0.04029037999209201,
0.9336532585928261,
-0.45999796928967995,
1.4560523182964364,
-0.1298961412366... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 500 |
de612808f26ac84631be1357f8623a62 | 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": [1478, 1414], "expectation_value": -119.7092591169004, "params": [0.5404, 0.3295, 1.1976, 0.09330000000000001, 0.6243000000000001, 0.41490000000000005, 1.1952, 0.11080000000000001, 1.2021000000000002, 0.0292, 0.786, 0.21400000000000002, 0.0025, 0.8888, 0.0033, -0.776, 0.457, 0.333, 1.1978, 0.1515, 1.2014, 0.... | 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(0) @ Z(3)) + 8.5 * (Z(5) @ Z(3)) + 8.5 * (Z(4) @ Z(2)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(7) @ Z(1)) + 8.5 * (Z(10) @ Z(5)) + 8.5 * (Z(8) @ Z(10)) + 8.5 * (Z(9) @ Z(3)) + 8.5 * (Z(9) @ Z(0)) + 8.5 * (Z(9) @ Z(10)) + 8.5 * (Z(9) @ Z(8)) + 4.0 * Z(2) + 10.0 * Z(1) + 26.0... | 16 | 12 | 2 | {"smallest_eigenvalues": [-179.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -153.0, "smallest_bitstrings": ["101001111001"], "largest_eigenvalue": 249.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.0886004909623295) q[0];
rz(0.4075490202738603) q[0];
rx(1.6506587766923444) q[1];
rz(-0.047771816681178414) q[1];
cx q[1], q[0];
rz(-0.03080107179791966) q[0];
cx q[1], q[0];
rx(-0.17981280053648657) q[0];
rz(0.09513360964562523) q[0];
rz(0.25886300916727917) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZIIZ",
"IIIIIIZIZIII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIZIIIIIZI",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"IIZIIIIIZIII",
"IIZIIIIIIIIZ",
"IZZIIIIIIIII",
"IIZZIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIZIII",
"IIIIIIIIIIIZ",
"IIIIIIZII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
4,
10,
26,
2,
10.5,
15.5,
-8,
18.5,
1,
27,
-15.5,
-16.5
] | 0.973593 | [
0.08860049096232951,
0.37674794847594095,
1.6506587766923444,
-0.047771816681178414,
0.2879981719653758,
0.27544660040295843,
1.5275094728330878,
0.15930450490475795,
1.294651674188827,
0.03266319611202101,
0.18286156683816424,
0.4613550801346028,
0.14500914593349548,
0.7619192551619435,
... | {
"n_parameters": 63,
"n_qubits": 12,
"optimal_eigenvalue": -179,
"target_ratio": 0.97,
"target_value": -173.63
} | 18 |
a8cbc7b2d97b00e13208bba5a49e2bfd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target":... | {"states": [2047, 1023], "expectation_value": -13.757296305404756, "params": [[[-0.0018000000000000002, -0.0011], [0.0012000000000000001, 0.0026000000000000003], [0.0061, 0.0022], [0.0088, 0.002], [0.0088, 0.0021000000000000003], [-0.0041, 0.0023], [0.0039000000000000003, -0.003], [0.0077, 0.0022], [0.00420000000000000... | -0.5 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(9) @ Z(7)) + -1.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(9)) + -1.25 * (Z(8) @ Z(3)) + -0.25 * (Z(5)... | 15 | 11 | 2 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.1289205279525739) q[0];
ry(0.02172475167515937) q[1];
ry(-0.23192441846372128) q[2];
ry(0.014835395756820757) q[3];
ry(0.014835395756820757) q[4];
ry(0.055075626202339883) q[5];
ry(0.01661306993381172) q[6];
ry(-0.33554492303585837) q[7];
ry(-0.15166352765074576) ... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIIIIIIZ",
"IIIIIIZIIZI",
"IZIZIIIIIII",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIZIIIIZI",
"IZIIZIIIIII",
"IIIIZIIZIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IIZIIIIZIII",
"IIIIIZZIIII",
"IZIIIZIIIII",
"IIIIZZIIIII",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIZIIIZ... | [
-0.5,
-0.5,
-0.25,
-1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-1,
-1,
-0.75,
-0.25,
-1.25,
-0.25,
-0.5,
-1,
0.75,
-0.75,
-0.5,
-0.25,
-1.75,
-0.5,
-0.75,
0,
-0.25,
0.5,
0.5,
0.75,
1,
-1.25,
-0.25,
-0.75,
-0.75,
0.5
] | 0.971359 | [
0.1289205279525739,
0.02172475167515937,
-0.23192441846372128,
0.014835395756820757,
0.055075626202339883,
0.01661306993381172,
-0.33554492303585837,
-0.15166352765074576,
0.02751884897500416,
2.274145723835324,
-0.007111718767267891,
-0.06729316965923915,
-0.020967437987054725,
-0.0278814... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 68 |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [60375, 47085], "expectation_value": -14.03563597215056, "params": [[0.1549, 0.39780000000000004, 0.9019], [-0.5284, -0.24480000000000002, -0.1956]], "bitstrings": ["0001010000101000", "0100100000010010"], "total_optimization_steps": 230, "probabilities": [0.009656432807609139, 0.009656432807609144], "optimi... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 3 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"], "largest_eigenvalue": 56.0000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"start_node": 0, "end_node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
9c501688ace9c1c29c4f2331e1f6f6c1 | 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": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "s... | {"states": [510, 1], "expectation_value": -0.6821682721696337, "params": [[0.0548], [-0.0439]], "bitstrings": ["000000001", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0024758049319716486, 0.002697229212082544], "optimization_time": 2.8448708057403564} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(2)) + 3.25 * (Z(8) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 22.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15648792005638765) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.4647368427952263) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.18625347550684976) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.4647368427952263) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"... | [
-1,
-0.25,
-0.5,
-0.25,
-2,
-1.25,
-0.5,
-1.25,
-1.5,
-1.25,
-1,
3.25,
-0.5,
-1.25,
-0.5,
-1.25,
-0.75,
-0.5,
-0.25,
-0.75,
-2,
0.75,
1.5,
2.25,
1,
-2
] | 0.543699 | [
-0.15648792005638765,
-0.4647368427952263,
-0.18625347550684976,
-1.227897821964101,
-0.36785183491168383,
-0.9027637837092546,
0.3660399390232344,
-0.5488324115223138,
-0.1907072725041052,
0.10396060371422793,
1.4146338051691747,
-0.36073297402333415,
-1.1317389430859743
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -20.75,
"target_ratio": 0.97,
"target_value": -20.127499999999998
} | 297 |
2e176b1388169c31718c374b42e0c725 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -4.047494532865959, "params": [[[-0.0317, 0.2852], [-0.0022, 0.0032], [0.0006000000000000001, -0.0025], [-0.004, -0.0026000000000000003], [-0.0015, 0.0019], [0.077, -0.09870000000000001], [1.6495000000000002, -0.035500000000000004]], [[-0.2743, -1.5810000000000002], [-0.0028, -... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.3830779787968251) q[0];
ry(-0.14730277028732375) q[1];
ry(0.2538099171114016) q[2];
ry(-0.257984861099843) q[3];
ry(-0.3976519478359509) q[4];
ry(-0.08193555877137179) q[5];
ry(2.987372434386749) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
0.25,
-0.25,
-0.75,
0,
-0.25,
0.25,
0.75
] | 0.973055 | [
-0.3830779787968251,
-0.14730277028732375,
0.2538099171114016,
-0.257984861099843,
-0.3976519478359509,
-0.08193555877137179,
2.987372434386749,
-0.2506718433023688,
0.13138656850175684,
0.08791202870362592,
0.05729874253553658,
-0.066058617225672,
-0.008338066771797888,
0.0017510417082033... | {
"n_parameters": 27,
"n_qubits": 7,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 42 |
e26a7b0ced2794f5e9fb233975a2bd69 | max_flow | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [16350, 49118], "expectation_value": -20.91316723002322, "params": [-0.3889, 0.0868, -0.41750000000000004, 0.2706, 0.2273, 0.4182, -0.0318, -0.0819, 0.5219, -0.0176, 0.5251, -0.025500000000000002, 0.5195000000000001, 0.006200000000000001, 0.5227, -0.0094, 0.523, -0.0004, 0.5255000000000001, -0.0004, 0.5137, ... | 0.5 * (Z(4) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(5) @ Z(13)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + -0.5 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(14)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(14)) + 0.5 * (Z(7) @ Z(5)) ... | 7 | 16 | 3 | {"smallest_eigenvalues": [-20.99999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.999999999999574, "smallest_bitstrings": ["0100000000100001"], "largest_eigenvalue": 56.25000000000027} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(-0.532218750852081) q[0];
rz(-0.23670284243252127) q[0];
rx(0.3741699073439885) q[1];
rz(0.4934594354813604) q[1];
cx q[1], q[0];
rz(0.3829938625086575) q[0];
cx q[1], q[0];
rz(-1.4402511638052853) q[0];
ry(0.6108400779045863) q[0];
rz(1.9626296906473204) q[0];
rx(-... | 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": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZIIII",
"IZZIIIIIIIIIIIII",
"IZIIIIIIIIIZIIII",
"IIZIIIIIIIZIIIII",
"IIIIIIIIIIZZIIII",
"IZIIIIIIIIZIIIII",
"IIZIIIIIIZIIIIII",
"IIIIIIIIIZIZIIII",
"IZIIIIIIIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIZIIIIIZIIIIIII",
"IIIIIIIIZIIZIIII",
"IZIIIIIIZIIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIII... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.375,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
... | 0.978104 | [
-0.5322187508520813,
0.1462910200761373,
0.3741699073439885,
0.4934594354813604,
0.6289236533584328,
-0.00968127929361059,
0.3470593711482598,
-0.01955911238111324,
0.3304506711477374,
0.07680225456727892,
0.4245100485287902,
-0.04433256622829804,
0.47901742355234317,
0.13127803375049976,
... | {
"n_parameters": 204,
"n_qubits": 16,
"optimal_eigenvalue": -20.99999999999988,
"target_ratio": 0.97,
"target_value": -20.369999999999884
} | 1 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [1623, 1751], "expectation_value": -7.485170014837302, "params": null, "bitstrings": ["00110101000", "00100101000"], "total_optimization_steps": 100, "probabilities": [0.49730634434571963, 0.49730634434571963], "optimization_time": 247.41759514808655} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00100101000", "00110101000", "10000100010", "10000100011"], "largest_eigenvalue": 22.5} | 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 | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
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,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 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 |
b17ad025da53e011c439f4958566aa09 | 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": [86, 87], "expectation_value": -57.44243322672923, "params": [[[0.6928000000000001, 0.2717], [-0.0099, 0.1991], [0.6986, 0.6928000000000001], [0.0381, 0.7026], [0.6951, 0.6838000000000001], [0.3249, 0.6924], [0.3904, 0.7043], [0.678, 0.6883], [0.6925, 0.6894]], [[0.7022, 0.2906], [0.027100000000000003, 0.188... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(5)) + 3.5 * Z(1) + 14.5 * Z(2) + 15.5 * Z(4) + 5.0 * Z(0) + -4.0 * Z(3) + 3.0 * Z(5) + 16.0 * Z(7) + 9.5 *... | 15 | 9 | 3 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["110101000"], "largest_eigenvalue": 143.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.579146978580154) q[0];
ry(0.06798845327184343) q[1];
ry(1.1688691699059854) q[2];
ry(0.0894004393838667) q[3];
ry(0.5041570486572658) q[4];
ry(-0.018307076238723605) q[5];
ry(-0.15348663559186804) q[6];
ry(0.5691174394662941) q[7];
ry(1.3479392192048598) q[8];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IZIIZIIII",
"IZIIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3.5,
14.5,
15.5,
5,
-4,
3,
16,
9.5,
10
] | 0.970589 | [
0.579146978580154,
0.06798845327184343,
1.1688691699059854,
0.0894004393838667,
0.5041570486572658,
-0.018307076238723605,
-0.15348663559186804,
0.5691174394662941,
1.3479392192048598,
0.013118587480083696,
0.058166503862726635,
0.59797374510899,
0.6042449271048376,
0.7832921831449989,
1... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 77 |
8039ad0cb583c24d8c620a2793c51821 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [3000, 3001], "expectation_value": -2.3656082759331865, "params": [0.4884, 0.48410000000000003, 0.0244, 0.0195, 0.4419, 0.4335, 0.4883, 0.4924, 0.48310000000000003, 0.4887, 0.0395, 0.0439, 0.4022, 0.4041, 0.4671, 0.4697, 0.3029, 0.3028, 0.09570000000000001, 0.09000000000000001, 0.093, 0.09960000000000001, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 14 | 12 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.20303684440564376) q[0];
rz(pi/2) q[0];
ry(-0.32370665152343553) q[1];
ry(0.22833395296615872) q[2];
ry(0.12803514223681636) q[3];
ry(0.27422120138083705) q[4];
ry(-0.09270289822469076) q[5];
ry(0.1081979051325857) q[6];
ry(0.9868045862664391) q[7];
ry(0.626985359... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZZI... | [
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,
0.5,
... | 0.977761 | [
0.20303684440564376,
-0.32370665152343553,
0.22833395296615872,
0.12803514223681636,
0.27422120138083705,
-0.09270289822469076,
0.1081979051325857,
0.9868045862664391,
0.6269853598514232,
-0.07359434885060798,
-0.34311618670649313,
0.2948355938221957,
0.22652888468596516,
-0.90144633473986... | {
"n_parameters": 140,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 58 |
d081b5ece414d97b04408b0b42241cfc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1615, 1551], "expectation_value": -14.890844280521527, "params": [0.4953, -0.0061, 0.4994, -0.013600000000000001, 0.49200000000000005, -0.0078000000000000005, 0.4907, -0.0131, 0.14300000000000002, -0.0718, 0.1449, -0.10360000000000001, 0.1383, -0.0868, 0.1432, -0.11560000000000001, 0.31070000000000003, 0.07... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -... | 5 | 11 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00111110000"], "largest_eigenvalue": 36.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.5886822951887793) q[0];
rz(0.06203987904640096) q[0];
rx(0.3684099261178423) q[1];
rz(0.3348218640846716) q[1];
rx(0.008886848508656647) q[2];
rz(0.15365930854882714) q[2];
rx(0.2789766364531309) q[3];
rz(-0.20477518601672084) q[3];
rx(0.030111471164943775) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIZIIIIZII",
"IIZZIIIIIII",
"IIZIIIIIZII",
"IIIZIIIZIII",
"IIIIIIIZZII",
"IIZIIIIZIII",
"IIIZIIZIIII",
"IIIIIIZIZII",
"IIZIIIZIIII",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIIIZIIZII",
"IIZIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IZIIIIZII... | [
0.375,
0.5,
1,
0.5,
0.5,
0.375,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
2,
-0.5,
-0.5,
-1,
0.75,
0.75,
3.5,
0.75,
3.5,
0.75,
0.5,
-1,
4,
8,
-1.5
] | 0.973976 | [
0.5886822951887795,
0.08596177347016964,
0.36840992611784235,
0.15047685235525898,
0.008886848508656647,
0.2981601685176529,
0.27897663645313087,
-0.05594064637820155,
0.03011147116494378,
-0.003248166825648227,
-0.012056173888535658,
-0.17191262332465457,
0.08692174155409721,
-0.351149555... | {
"n_parameters": 153,
"n_qubits": 11,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 12 |
bd840c67c60de5e8a0e6837e43896a66 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -8.94609614742045, "params": [[[0.014700000000000001, -0.108], [0.0014, 0.001], [0.0082, 0.0021000000000000003], [0.0054, 0.0017000000000000001], [0.009000000000000001, 0.0021000000000000003], [-0.0558, 0.0055000000000000005], [0.0018000000000000002, -0.0599], [2.285500000000... | -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 *... | 15 | 8 | 2 | {"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 |
-679162084426388165 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3], [1, 2, 5, 7], [4, 7], [3, 5], [0, 1, 3, 6], [0, 1, 4, 5], [0, 1, 2, 4], [2, 6, 7]]} | {"states": [122, 110], "expectation_value": -2.4854314334485683, "params": null, "bitstrings": ["10000101", "10010001"], "total_optimization_steps": 51, "probabilities": [0.07507978996761423, 0.8411197573671038], "optimization_time": 87.73725628852844} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2937215601155144) q[0];
h q[1];
ry(1.5204983790923254) q[1];
h q[2];
ry(1.0587161987511589) q[2];
h q[3];
ry(-0.47301073766345064) q[3];
h q[4];
h q[5];
cx q[5], q[3];
ry(0.47301073766345064) q[3];
cx q[5], q[3];
ry(-0.29483437813919783) q[3];
cx q[1], q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5298) 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[... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIZIZII",
"IIIZIIZI",
"IIZZIIII",
"ZIIZIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIZIIIZ",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"ZZIIIIII",
"IZIIIII... | [
0.3333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.1... | 0.970875 | [
1.5204983790923254,
1.0587161987511589,
-0.9460214753269013,
0.5875793858981349,
-0.8336353719707792,
-0.5896687562783957,
0.5169964971787964,
0.6337491165521886,
-0.4889746904720301,
0.7943765449156783,
-0.34160939025001263,
0.617027197460057,
-0.3350694328519006,
-0.5874431202310288,
0... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -2.583333333333334,
"target_ratio": 0.97,
"target_value": -2.505833333333334
} | 13 |
0196429b0da7e22849832e813b6ffbfd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -15.358691073477953, "params": [-0.0033, 0.0004, 0.0027, 0.0029000000000000002, 0.0022, 0.0073, 0.0023, 0.0004, 0.0026000000000000003, 0.0034000000000000002, 0.0026000000000000003, 0.006900000000000001, 0.0026000000000000003, 0.006900000000000001, 0.0024000000000000002, 0.0021000... | -1.25 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -1.25 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(2)) + -1.5 * (Z(4) ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01451714377332614) q[0];
rz(1.567933017869171) q[0];
rx(-0.02032888722137103) q[1];
rz(1.5921707930274547) q[1];
rx(-0.12005231502450762) q[2];
rz(1.7459814652059578) q[2];
rx(-0.004760584586112621) q[3];
rz(1.567933017869171) q[3];
rx(0.1266826876956882) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIIIIZZII",
"IZIIIIZIII",
"IZIIIIIZII",
"IIIIZZIIII",
"ZIIIZIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIZIIII",
"IIIIZIIIII",
"IIIIIIIIIZ"... | [
-1.25,
-0.5,
-1.25,
-0.75,
-2,
-1,
-1,
-0.5,
-0.75,
-1.25,
-0.25,
-1.25,
-0.75,
-1.5,
-1,
3.25,
-0.75,
-0.25,
-1,
-0.25,
0.5,
1.25,
1,
-4,
0.5,
0.5,
0.25,
1.25
] | 0.978249 | [
-0.01451714377332614,
-0.00286330892572606,
-0.02032888722137103,
0.021374466232557676,
-0.12005231502450761,
0.17518513841106048,
-0.004760584586112622,
0.12668268769568816,
0.08733852019055875,
-0.16291809049276493,
0.1992389045506872,
-0.33531949643995196,
0.7336791699499292,
2.67812021... | {
"n_parameters": 23,
"n_qubits": 10,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
a1941b5b877a0f7cf4180c33739d5ac8 | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": ... | {"states": [271, 15], "expectation_value": -1.646937310229815, "params": [[0.0558], [-0.051800000000000006]], "bitstrings": ["1011110000", "1111110000"], "total_optimization_steps": 10, "probabilities": [0.0014446349377559657, 0.0014863461407031828], "optimization_time": 3.4760494232177734} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(4)) + 1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -3.0 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(6) @ Z(8)) + 0.5 *... | 1 | 10 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["1111110000"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.9019306701473816) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.17748230890533442) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3797019514824839) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(-0.17748230890533442) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIIIZZII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-2.5,
0.5,
-3,
0.5,
-3,
1.5,
1.5,
-3,
-3,
0.5,
1,
1,
-2.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
1,
-3,
-2.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.503926 | [
-0.9019306701473816,
-0.17748230890533442,
-0.3797019514824839,
-0.04778213242962144,
-0.06587254235671493,
-1.39599132075323,
-0.3897177098356857,
-0.9956281207687085
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -28.5,
"target_ratio": 0.97,
"target_value": -27.645
} | 207 |
c57625ce2de67c1086ad1c24582707c2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [21, 5], "expectation_value": -4.249622881933726, "params": null, "bitstrings": ["101010", "111010"], "total_optimization_steps": 14, "probabilities": [0.24998087632969399, 0.24998460488181462], "optimization_time": 9.805203914642334} | -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 | 4 | {"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];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"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 |
1579198481920623817 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [0, 5], [1, 3], [3, 6], [0, 6], [2, 5], [0, 2], [4, 5], [1, 2]]} | {"states": [74, 92], "expectation_value": -0.10271844343095546, "params": [[-0.0746], [0.0785]], "bitstrings": ["0110101", "0100011"], "total_optimization_steps": 10, "probabilities": [0.008747377219791954, 0.008747377219791954], "optimization_time": 0.583425760269165} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["0011011", "1100100", "1101100", "1011100", "0100011", "0011010", "1001010", "1100101", "0110101", "0010011"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(-0.625645607233688) q[1];
cx q[5], q[1];
cx q[1], q[3];
rz(-0.625645607233688) q[3];
cx q[1], q[3];
cx q[5], q[0];
rz(-0.625645607233688) q[0];
cx q[5], q[0];
cx q[5], q[2];
rz(-0.625645607233688) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[6];
... | null | {"circuits": [], "gradients": []} | [
"IZIIIZI",
"IZIIIIZ",
"IIIZIZI",
"ZIIIIIZ",
"ZIIZIII",
"IZIIZII",
"IIIIZZI",
"IIIIZIZ",
"IZZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
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
] | 0.611007 | [
-0.625645607233688,
8.26647039755355e-8,
0.7040335215190888
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 87 |
d2601bbf36e7658df88520110518167a | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [61117, 59325], "expectation_value": -15.273555618327475, "params": null, "bitstrings": ["0001000101000010", "0001100001000010"], "total_optimization_steps": 100, "probabilities": [0.04222499524777605, 0.7004648347042954], "optimization_time": 1198.4534106254578} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-15.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999941, "smallest_bitstrings": ["0001100001000010"], "largest_eigenvalue": 56.00000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(1.6170527242996016) q[0];
h q[1];
ry(0.7805138677541621) q[1];
h q[2];
h q[3];
ry(-0.4322759362401726) q[3];
h q[4];
h q[5];
ry(1.6170527242996016) q[5];
h q[6];
ry(0.7805138677541621) q[6];
cx q[0], q[6];
ry(-0.7805138677541621) q[6];
cx q[0], q[6];
cx q[0]... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5708) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[... | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970924 | [
1.6170527242996016,
1.5610277355083242,
-0.679222417946599,
1.0685797201107086,
-0.7139150329584052,
1.2551773451408712,
-0.8645518724803452,
1.1591405251708378,
-1.2079243771877828,
0.5130784379949134,
-0.5721670552309985,
0.3166512198214887,
-0.5898526595454422,
0.3774141208097306,
-0.... | {
"n_parameters": 46,
"n_qubits": 16,
"optimal_eigenvalue": -15.99999999999997,
"target_ratio": 0.97,
"target_value": -15.519999999999971
} | 6 |
c0497b20d0e680cacc77174a13e8b8b4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [35, 49], "expectation_value": -0.48599386707649433, "params": [[-0.035300000000000005, -0.0611, -0.059800000000000006], [0.0341, 0.0618, 0.0585]], "bitstrings": ["1011100", "1001110"], "total_optimization_steps": 10, "probabilities": [0.010839653147163564, 0.010839653147163569], "optimization_time": 4.01062... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(6) + 0.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011100", "0011101", "0111001", "1001110", "0001111", "0101011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"IIIZIZI",
"ZIZIIII",
"IIZZIII",
"IIZIIZI",
"IIIZZII",
"IZIZIII",
"IZIIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
-9162509911004471644 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [1, 2, 3, 4, 6], [0, 1, 2, 3, 5, 6]]} | {"states": [47, 62], "expectation_value": -0.649208018801621, "params": [[-1.0754000000000001], [0.39580000000000004]], "bitstrings": ["1010000", "1000001"], "total_optimization_steps": 110, "probabilities": [0.026190867890661794, 0.0261908678906618], "optimization_time": 3.5192453861236572} | 0.5 * (Z(0) @ Z(4)) + 0.05 * (Z(1) @ Z(4)) + 0.03333333333333333 * (Z(1) @ Z(0)) + 0.05 * (Z(2) @ Z(4)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333334 * (Z(2) @ Z(1)) + 0.05 * (Z(3) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(2)) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.9000000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9000000000000004, "smallest_bitstrings": ["1000001"], "largest_eigenvalue": 2.500000000000001} | 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(-1.5641802847058388) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.013931120852528704) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(-0.03721725340030691) q[1];
cx q[0], q[1];
cx q[4], q[2];
rz(0.013931120852528704) q[2];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x1)... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIIIIZZ",
"IIZIZII",
"IIIIZIZ",
"IIIIZZI",
"IIZZIII",
"IIIZIIZ",
"IIIZIZI",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"III... | [
0.5,
0.05,
0.03333333333333333,
0.05,
0.03333333333333333,
0.08333333333333334,
0.05,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.05,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.08333333333333334,
0.03333333333333333,
0.03333333333333333,
0... | 0.889559 | [
-1.5641802847058388,
0.013931120852528704,
-0.03721725340030691,
-0.26764811259863974,
0.27780089532872226,
-0.9046294725404982,
0.8215252631982893
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -0.9000000000000005,
"target_ratio": 0.97,
"target_value": -0.8730000000000004
} | 161 |
66118b4a39d9f94415b36602b745f3db | 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": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.677566328957725, "params": [[0.0627, 0.06430000000000001, 0.051800000000000006, 0.0526], [-0.0659, -0.0685, -0.0538, -0.0477]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.016203581072566482, 0.017916262409243308], "optimization_... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.12524510593503183) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.2057321989079934) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.12524510593503183) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(-0.2057... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.5,
0.5,
0,
0.5
] | 0.959452 | [
-0.12524510593503183,
-0.2057321989079934,
0.18692089032363474,
0.6210941574237907,
0.4969742707579973,
0.9038872847986754,
-1.528486332966517,
-0.26931922132779773,
-0.442174215049874,
0.3538515939923324,
1.0125796270904612,
0.4397668488203588,
-1.1536132104223544,
-0.5382064669199504,
... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
fd959b015d7c5b50b2cd05831ed95a60 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 44], "expectation_value": -0.7960982732254176, "params": [[-0.047400000000000005, -0.0366, -0.0398, -0.0724], [0.060200000000000004, 0.0476, 0.045700000000000005, 0.063]], "bitstrings": ["001101", "010011"], "total_optimization_steps": 10, "probabilities": [0.025918606756161897, 0.027092050430068477], "... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-1,
-0.5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
-4147486941807655039 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [4, 5], [1, 2, 4], [5, 7], [2, 3, 5], [0, 5], [8, 4], [1, 6], [8, 1, 2, 7], [4, 6], [0, 2, 3, 4], [0, 2, 3, 7], [1, 5]]} | {"states": [498, 434], "expectation_value": -3.500002354853583, "params": [1.3974, -0.0281, 1.3889, 0.0015, 1.4015, -0.0256, 1.3914, 0.0076, 1.1681000000000001, 0.18960000000000002, 0.9743, 0.0026000000000000003, 1.4015, -0.036500000000000005, 1.3946, 0.0001, 1.3968, -0.033100000000000004, 1.3897000000000002, 0.0018000... | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7500000000000004, "smallest_bitstrings": ["001001101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.4951305110179356) q[0];
rz(1.6581695980493656) q[0];
rx(1.4070912915410465) q[1];
rz(1.5213176345630135) q[1];
rx(0.4458762769177125) q[2];
rz(2.1580635033491955) q[2];
rx(1.407091291541047) q[3];
rz(1.7796097374677071) q[3];
rx(1.6744295115649883) q[4];
rz(1.56543... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZZIIIII",
"IIZIZIIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIIZIIIZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIIIZIZII",
"IIIIIIZZI",
"IZIZIIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IIIZIZIII",
"IIIIZZIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIZIIIIZ",
"IIIIZIIIZ",
"IIIIIIZIZ",
"IZIIIIIIZ",
"IIIIIZIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
... | 0.971554 | [
1.4951305110179356,
0.08737327125446884,
1.4070912915410467,
-0.049478692231883614,
0.4458762769177124,
0.5872671765542987,
0.20881341067281084,
1.6744295115649885,
-0.005360231948677224,
-0.03092270031408834,
0.1621552122323196,
0.4357086579051086,
-0.03356638542692633,
-0.044311998096295... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 65 |
4072681458450030417 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 4], [2, 11], [10, 3], [9, 4, 7], [0, 1, 10, 12], [8, 11, 6], [8, 5], [1, 11, 12, 5], [11, 3], [8, 2, 3, 6], [0, 6], [3, 5], [2, 4, 7], [1, 2, 5, 7], [8, 11, 12], [9, 2, 12, 5], [8, 4], [1, 3, 6], [8, 1], [9, 11, 4, 6], [3, 12, 6], [9, 10, 4], [0, ... | {"states": [3311, 2287], "expectation_value": -7.162896760075402, "params": [0.1908, 0.1917, 1.5639, 1.5744, 0.7101000000000001, 0.7089000000000001, 0.0037, 0.0049, 0.0034000000000000002, -0.0022, 1.481, 1.4735, 1.5719, 1.5647, 1.5655000000000001, 1.5731000000000002, 0.0892, 0.0883, 1.5710000000000002, 1.5641, 1.5749, ... | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(11) @ Z(4)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(2)) + 0.16666666666666666 * (Z(10) @ Z(4)) + 0.5 * (Z(10) @ Z(3)) + 0.41666666666666663 * (Z(9) @ Z(4)) + 0.25 * (Z(9) @ Z(2)) + 0.083333333333... | 13 | 13 | 1 | {"smallest_eigenvalues": [-7.250000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1011100010000"], "largest_eigenvalue": 24.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.20777894287347118) q[0];
rz(0.028375965330189108) q[0];
ry(1.4739212658108818) q[1];
ry(0.7447299495352537) q[2];
ry(0.009145585217909374) q[3];
ry(-0.1867984736547985) q[4];
ry(1.590475042950519) q[5];
ry(1.4697684982977226) q[6];
ry(1.5707038239970978) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZIII",
"IIIIIIIIZIZII",
"IIIIIIIIIZZII",
"IZIIIIIIZIIII",
"IZIIIIIIIZIII",
"IZIIIIIIIIZII",
"IIZIIIIIZIIII",
"IIZIIIIIIZIII",
"IIIZIIIIZIIII",
"IIIZIIIIIIZII",
"IZIZIIIIIIIII",
"IIZZIIIIIIIII",
"IIIIIZIIZIIII",
"IIIIIZIIIZIII",
"IIIIIZIIIIZII",
"IIIZIZIIIIIII",
"IIIIIIIIIZI... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.5,
0.16666666666666666,
0.5,
0.41666666666666663,
0.25,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.41666666666666663,
0.16666666666666666,
0.0833... | 0.986518 | [
0.20777894287347118,
1.4739212658108818,
0.7447299495352537,
0.009145585217909374,
-0.1867984736547985,
1.590475042950519,
1.4697684982977226,
1.5707038239970978,
0.005636448337237504,
1.6532059456478958,
1.5530881253782673,
1.5688845876379804,
1.5375243174161697,
0.056751930660378216,
0... | {
"n_parameters": 49,
"n_qubits": 13,
"optimal_eigenvalue": -7.250000000000002,
"target_ratio": 0.97,
"target_value": -7.0325000000000015
} | 1 |
adf83a7a772b7f772a66d54f36fd7522 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [91, 127], "expectation_value": -5.964095293682891, "params": null, "bitstrings": ["10100100", "10000000"], "total_optimization_steps": 98, "probabilities": [0.10187664978062215, 0.7323710416641575], "optimization_time": 165.951562166214} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4434130568765927) q[0];
h q[1];
ry(0.06002088832999257) q[1];
h q[2];
ry(0.20888663163693805) q[2];
h q[3];
cx q[3], q[1];
ry(-0.06002088832999257) q[1];
cx q[3], q[1];
ry(1.4692332172117415) q[1];
ry(1.40335167153491) q[3];
h q[4];
ry(0.514467726155474) q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5681) q[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",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"IIIZZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIII... | [
-0.25,
-1,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
0,
1,
-0.25,
-0.5,
0.25,
0
] | 0.970149 | [
1.486113011210929,
0.12004177665998514,
1.40335167153491,
1.4692332172117415,
1.028935452310948,
1.535224711760082,
-0.8868261137531854,
0.4177732632738761,
1.2979805877816588,
0.3664680005410001,
-0.4998226785072861,
0.15189024077444385,
0.4825016790234395,
0.27013092329179234,
0.016721... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 51 |
8198021928293f705270038472b9e016 | 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": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 3}, {"capacity": 7, "s... | {"states": [0, 1], "expectation_value": -23.120650254618745, "params": [0.0032, 0.0006000000000000001, 0.0025, 0.0012000000000000001, 0.0026000000000000003, 0.0098, 0.0026000000000000003, 0.0086, 0.0022, 0.0027, 0.0027, 0.004, 0.0023, 0.0034000000000000002, 0.0024000000000000002, 0.0064, 1.6061, 0.0043, 0.0061, 0.0007,... | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2154578741281564) q[0];
rz(0.34104839509878815) q[0];
rx(0.014353031530877552) q[1];
rz(-0.20570222180983766) q[1];
rx(0.08050603302810429) q[2];
rz(-0.008367973851877153) q[2];
rx(0.08050603302810427) q[3];
rz(0.16236793919225168) q[3];
rx(0.12664392325642937) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-1,
-0.5,
-1,
-0.5,
-1.75,
-1.75,
-1.5,
5.75,
-0.5,
-1,
-0.5,
-1.25,
-2.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1.75,
-1,
-0.75,
-0.25,
-0.75,
0.25,
-1,
5.25,
0,
-0.5,
-2.25
] | 0.970861 | [
-0.21545787412815637,
0.3285993477694789,
0.014353031530877552,
-0.021653355952673856,
0.08050603302810427,
-0.07075527064291534,
0.1259199627627,
0.12664392325642937,
-0.06670408457052271,
-0.12000144934019084,
0.21144554096104196,
-0.14863542639379768,
-0.11968746102607022,
0.24510922225... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -33.25,
"target_ratio": 0.97,
"target_value": -32.2525
} | 9 |
8695571099168270225 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 5, 6, 7, 8], [2, 10], [8, 11], [8, 10], [0, 1, 6, 7, 10, 11], [1, 3], [0, 1, 5, 9, 11], [9, 4]]} | {"states": [2423, 375], "expectation_value": -2.87995521523955, "params": null, "bitstrings": ["011010001000", "111010001000"], "total_optimization_steps": 100, "probabilities": [0.35404957626134054, 0.4112898669385844], "optimization_time": 2032.4997124671936} | 0.03333333333333333 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(7) @ Z(3)) + 0.03333333333333333 * (Z(7) @ Z(2)) + 0.03333333333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.0999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0999999999999988, "smallest_bitstrings": ["111010001000"], "largest_eigenvalue": 5.4999999999999964} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.0978235044911338) q[0];
h q[1];
ry(-0.35936857726991756) q[1];
h q[2];
ry(-0.6002071823599746) q[2];
h q[3];
cx q[3], q[1];
ry(0.35936857726991756) q[1];
cx q[3], q[1];
ry(-0.7731822441188548) q[1];
ry(1.3787806847373651) q[3];
h q[4];
ry(-0.38176237719970... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-1.0342) q[9], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIZZII",
"IIIIIIZIZIII",
"IIIIIIZIIZII",
"IIIIIZIIZIII",
"IIIIIZIIIZII",
"IIIIIZZIIIII",
"IIIIZIIIZIII",
"IIIIZIIIIZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIZII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IZIIIIIIIZII",
"IZIIIZIIIIII",
"IZIIZIIII... | [
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.970427 | [
-0.7635247543994019,
0.9389996464826654,
-0.27054388011266794,
-0.13760242670693026,
1.4757686043552278,
-0.26894091677903265,
1.5694640904183452,
-1.2004143647199492,
-0.6287649769402116,
0.22635178717884583,
0.4634884072637858,
-0.7187371545398351,
1.1372793000557586,
-0.7152772259966815... | {
"n_parameters": 73,
"n_qubits": 12,
"optimal_eigenvalue": -3.0999999999999996,
"target_ratio": 0.97,
"target_value": -3.0069999999999997
} | 31 |
cf63e2458a0741acd2ef8c128602eb3a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3, 67], "expectation_value": -3.6360564777166546, "params": [[[1.6616000000000002, 0.0097], [-0.0034000000000000002, 0.0078000000000000005], [0.00030000000000000003, 0.007500000000000001], [1.4736, 0.0027], [-0.0044, 0.0043], [1.7045000000000001, 0.004], [1.7012, 0.0098]]], "bitstrings": ["1111100", "011110... | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1100110", "0111100", "0111001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3269969770889281) q[0];
rz(-0.5504036056506698) q[0];
rx(0.35954196878096667) q[1];
rz(-0.012404751640308812) q[1];
cx q[1], q[0];
rz(0.228453187285069) q[0];
cx q[1], q[0];
rz(1.5964531905415136) q[0];
ry(0.9908209005626359) q[0];
rz(-1.7445090548379003) q[0];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZIIIIZI",
"ZIZIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-1,
-1.5,
-0.5,
0
] | 0.972321 | [
0.3269969770889281,
-0.3219504183656007,
0.35954196878096667,
-0.012404751640308812,
0.23307960273110617,
-0.08636312566796234,
0.42336248146771394,
0.3708386300171518,
0.1622252850494044,
-0.21764395063298858,
0.219072816073935,
0.017256355300506152,
0.01842232375394045,
0.122346478424125... | {
"n_parameters": 187,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 33 |
eb7718afe0f5fa75c040f15c7d7615e7 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2032, 2047], "expectation_value": -3.5857472016821426, "params": [[0.0702], [-0.054700000000000006]], "bitstrings": ["00000001111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0009530657435300835, 0.0010071434533397423], "optimization_time": 1.0331175327301025} | -3.0 * (Z(0) @ Z(1)) + 2.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + -3.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -4.0 * (Z(2) @ Z(5)) + -4.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -4.0 * (Z(3) @ Z(5)) + -3.0 * (Z(3) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + -3.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 47.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5812394894038799) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.30039555313705435) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(-0.5193573160140995) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.4823... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIIIZZII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIIZIIIZII",
"IIIIZIIZIII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIIZIZ... | [
-3,
2,
-4,
-3.5,
1,
-4,
-4,
1,
-4,
-3,
1,
0.5,
-3.5,
-3,
-3,
0.5,
0.5,
-3.5,
1.5,
-3,
-2.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2.5,
1.5,
-3.5,
1.5,
1.5,
1,
1,
0.5,
0.5,
0.5,
0.5
] | 0.567426 | [
-0.5812394894038799,
-0.30039555313705435,
-0.48233957079901646,
-0.5193573160140995,
-0.2923620650566893,
-0.2772656227830469,
-0.32882683216892633,
-0.6236499392013487,
-1.3111895176914696,
-0.5763364613900533,
-1.0605065687390178
] | {
"n_parameters": 11,
"n_qubits": 11,
"optimal_eigenvalue": -42.5,
"target_ratio": 0.97,
"target_value": -41.225
} | 279 |
e40237e4ee23250d71cb8e35cdfa1e09 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [180, 52], "expectation_value": -6.815419004501633, "params": [-0.0032, -0.006, 0.3573, 0.3513, -0.0033, -0.0041, 0.5031, 0.504, 0.439, 0.4305, -0.0045000000000000005, -0.0009000000000000001, 0.5026, 0.49670000000000003, 0.29000000000000004, 0.2902, -0.0012000000000000001, -0.0006000000000000001, -0.00170000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -7.0, "smallest_bitstrings": ["101110011", "111001101", "101011101", "101011011", "001011111", "111011010", "111100011", "111001011", "110101101"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.14993631743089172) q[0];
rz(pi/2) q[0];
ry(0.14916095586758527) q[1];
ry(0.026416001186756674) q[2];
ry(0.8532921811116134) q[3];
ry(0.6421471895579427) q[4];
ry(-0.1073890292927433) q[5];
ry(0.5612583301142984) q[6];
ry(0.06084798586364848) q[7];
ry(-0.3394388115... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZZI",
"IIIIZIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IIIIIIZII",
"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,
-2.5,
-1,
-2,
-1,
-1.5,
-2.5,
-1,
-0.5
] | 0.975234 | [
-0.14993631743089172,
0.14916095586758527,
0.026416001186756674,
0.8532921811116134,
0.6421471895579427,
-0.1073890292927433,
0.5612583301142984,
0.06084798586364848,
-0.33943881151220834,
0.29709672699517437,
0.08299287240215864,
-0.3105127667034696,
0.6179518060990551,
0.1634756134415786... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 15 |
5075248485302863611 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[4, 6, 8, 9, 10], [0, 2, 4, 6, 7, 9, 10], [0, 1, 7, 8, 9], [0, 1, 2, 5, 6, 7], [0, 1, 2, 3, 4, 6, 7, 8, 10], [1, 10, 2, 9], [8, 3, 4, 5]]} | {"states": [1503, 479], "expectation_value": -1.4027553816853788, "params": [1.6392, -0.19290000000000002, 0.9378000000000001, 0.0007, 0.9071, -0.5720000000000001, 0.7656000000000001, 0.0083, 2.1288, -0.0558, 0.9798, 0.0063, 2.0860000000000003, 0.0799, 0.9664, 0.001, 2.1014, -0.1373, 1.0423, 0.0098, 0.3111, 0.883400000... | 0.08769841269841269 * (Z(5) @ Z(7)) + 0.06388888888888888 * (Z(9) @ Z(7)) + 0.1472222222222222 * (Z(9) @ Z(5)) + 0.07380952380952381 * (Z(10) @ Z(7)) + 0.07380952380952381 * (Z(10) @ Z(5)) + 0.1 * (Z(10) @ Z(9)) + 0.08769841269841269 * (Z(2) @ Z(7)) + 0.08769841269841269 * (Z(2) @ Z(5)) + 0.06388888888888888 * (Z(2) @ ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-1.457142857142857], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4571428571428569, "smallest_bitstrings": ["11000100000"], "largest_eigenvalue": 7.000000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.4029531796698966) q[0];
rz(-0.6392981263152491) q[0];
rx(0.6517654431165263) q[1];
rz(-0.7255555464000398) q[1];
rx(2.2300125285531553) q[2];
rz(-0.037389137226664815) q[2];
rx(1.8881249363807675) q[3];
rz(0.33418390125487285) q[3];
rx(2.233140407259523) 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": []} | [
"IIIZIZIIIII",
"IZIZIIIIIII",
"IZIIIZIIIII",
"ZIIZIIIIIII",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIZIIIIZII",
"IIIIIZIIZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIIZIIIIIIZ",
"IIIIIZIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIZIIIZIII",
"IIIIIZIZIII",
"IZIIIIIZIII",
"ZIIIIIIZI... | [
0.08769841269841269,
0.06388888888888888,
0.1472222222222222,
0.07380952380952381,
0.07380952380952381,
0.1,
0.08769841269841269,
0.08769841269841269,
0.06388888888888888,
0.15714285714285714,
0.07103174603174603,
0.037698412698412696,
0.06388888888888888,
0.07380952380952381,
0.03769841... | 0.970534 | [
1.4029531796698966,
-0.4347705288096817,
0.6517654431165265,
-0.540023547306103,
2.2300125285531553,
-0.027811561641302173,
1.8881249363807675,
0.3644764754181658,
2.233140407259523,
0.011490984098024064,
0.13016938666856823,
0.790118630631574,
1.9427249058184852,
-0.11350885486114941,
2... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -1.457142857142857,
"target_ratio": 0.97,
"target_value": -1.4134285714285713
} | 62 |
43307769d8a05a2ca68cecbc0fed0778 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -3.06970238287601, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 40, "probabilities": [0.18712618216087368, 0.5299561105391241], "optimization_time": 31.766807079315186} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100010", "100110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00023124809840155782) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00023124809840155782) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.00030875566784865986) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[2];
r... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
0,
-0.25,
-1,
-0.25,
1,
0.5
] | 0.846154 | [
-0.00023124809840155782,
0.00030875566784865986,
2.3115568584055075,
-3.216564759806828,
0.829794500941834,
-0.06741882085370919,
0.8321285704967755,
-0.06948214412449785,
0.5773648280487796,
0.00021406035029157414,
-0.0003257371873867132,
1.986953820724666,
-1.4634239239165174,
-1.0938387... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 500 |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [17, 3], "expectation_value": -14.728659226728476, "params": [[-0.0431, -0.010700000000000001], [0.077, 0.07490000000000001]], "bitstrings": ["1101110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.017002872596679035, 0.01795882252717139], "optimization_time": 4.272852897644043} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 18 | 7 | 2 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.33842977011630987) q[0];
rz(-0.1108368416663894) q[0];
rx(0.3147269537321503) q[1];
rz(0.4403416265327494) q[1];
rx(-0.051370858575326604) q[2];
rz(-0.22672638531976275) q[2];
rx(0.03931970306589702) q[3];
rz(0.9073276713830547) q[3];
rx(0.0661833452113321) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
-10,
-10.5,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.976782 | [
-0.33842977011630987,
-0.1108368416663894,
0.3147269537321503,
0.4403416265327494,
-0.051370858575326604,
-0.22672638531976275,
0.03931970306589702,
0.9073276713830547,
0.0661833452113321,
-0.5231724704730886,
2.88377300871935,
-1.119200286847717,
2.8464014046151784,
-0.7664925011163902
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 16 |
e6c8c402e3dce66f9c822ae2c5e943a3 | 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": 2}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [0, 172], "expectation_value": -2.883835249742261, "params": [0.303, -0.0002, 0.2987, -0.0004, 0.3035, 0.0019, 0.29710000000000003, 0.004, 0.30770000000000003, 0.0009000000000000001, 0.3079, 0.0005, 0.1862, -0.0782, 0.19590000000000002, -0.0489, 0.30720000000000003, 0.0044, 0.3068, -0.0036000000000000003, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(7) + 0.0 * Z(4) + 0.0... | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01010011", "00110011", "01110010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7805529465186629) q[0];
rz(1.6620571352092135) q[0];
rx(-0.049143231453029894) q[1];
rz(1.7865268690853) q[1];
rx(0.8753589209094327) q[2];
rz(1.6858449982838213) q[2];
rx(0.24757612609275179) q[3];
rz(1.385323083017325) q[3];
rx(0.7291809308910457) q[4];
rz(1.0208... | OPENQASM 3.0;
include "stdgates.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",
"IZIIIZII",
"IIIIIZZI",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"IIIZZIII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-1,
0,
0
] | 0.973493 | [
0.7805529465186629,
0.09126080841431677,
-0.0491432314530299,
0.2157305422904039,
0.8753589209094326,
0.11504867148892481,
0.2475761260927518,
-0.18547324377757157,
0.7291809308910457,
-0.549993026309015,
-0.2314673902778217,
0.20833091412814997,
0.1404626390736965,
-0.0887893557805564,
... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 125 |
58c03faa30d0c8774100cfa24f25fe60 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [508, 511], "expectation_value": -12.403936331117217, "params": null, "bitstrings": ["000000011", "000000000"], "total_optimization_steps": 100, "probabilities": [0.13018786340057373, 0.3904085681745235], "optimization_time": 221.37016439437866} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["000000000", "000001100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.7412757969131151) q[0];
h q[1];
cx q[1], q[0];
ry(-0.7412757969131151) q[0];
cx q[1], q[0];
ry(1.451801905468078) q[0];
ry(0.5423029351916456) q[1];
h q[2];
ry(1.4825515938262301) q[2];
cx q[2], q[0];
ry(-0.10232302254412881) q[0];
cx q[2], q[0];
ry(0.06280... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-2.5,
0.5,
-2,
1,
-2.5,
-2,
-2,
1,
0.5,
-2.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5
] | 0.954735 | [
1.4825515938262301,
0.5423029351916456,
1.349478882923949,
0.20464604508825762,
0.12561750478083386,
0.20791252357193157,
0.7719955553846846,
0.0638474305037303,
-0.0775918025965658,
1.8489389613820453,
1.7877363284318122,
0.561981111937848,
-0.7164170155935118,
0.258530251077349,
1.5760... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 500 |
c513b3f9e92fab9360fc637fed72bb83 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [0, 1], "expectation_value": -8.748420232252496, "params": [-0.08120000000000001, 0.031, -0.0694, 0.0105, -0.004, 0.2381, -0.0013000000000000002, 0.2358, -0.0016, 0.2359, -0.002, 0.24300000000000002, -0.0008, 0.23770000000000002, 0.0008, 0.2446, -0.004, 0.2373, -0.0018000000000000002, 0.2406, 0.0008, 0.1509,... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.2006787591129485) q[0];
rz(1.5111373121971567) q[0];
rx(0.008533205045735058) q[1];
rz(1.7868635420623642) q[1];
rx(-0.011585748536171918) q[2];
rz(1.5898520776238634) q[2];
rx(-0.08394752394391941) q[3];
rz(1.8689766124662555) q[3];
rx(0.008533205045735057) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIIIIIIZII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IIIIZIIZII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIZIII",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"IZIIIIIZII"... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
1,
0,
-0.25,
-0.5,
-0.25,
0,
-0.25
] | 0.978625 | [
-0.20067875911294852,
-0.05965901459774062,
0.008533205045735057,
0.21606721526746786,
-0.01158574853617192,
0.019055750828967807,
-0.08394752394391941,
0.29818028567135796,
0.15390388893321932,
-0.012954804646189033,
0.37586173891171687,
-0.12008364184354088,
0.18731012752276124,
-0.13200... | {
"n_parameters": 124,
"n_qubits": 10,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 8 |
1fc21af19f39ef7e600197f0903292a1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [9962, 8688], "expectation_value": -6.704787310236644, "params": [[-0.19490000000000002, -0.3861, -0.6764], [0.5467000000000001, 0.317, 0.1527]], "bitstrings": ["01100100010101", "01111000001111"], "total_optimization_steps": 210, "probabilities": [0.009917162103577912, 0.009917162103577917], "optimization_t... | 0.5 * (Z(0) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(12)) + -0.5 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(1... | 1 | 14 | 3 | {"smallest_eigenvalues": [-8.666666666666618], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666616, "smallest_bitstrings": ["01111000001111"], "largest_eigenvalue": 23.333333333333357} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(-0.021759544490300868) q[0];
cx q[9], q[0];
h q[10];
cx q[9], q[10];
rz(-0.8129178391790248) q[10];
cx q[9], q[10];
cx q[0], q[10];
rz(-0.021759544490300868) q[10];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIIIZ",
"IIIZZIIIIIIIII",
"IIIZIIIIIIIIIZ",
"IZIIZIIIIIIIII",
"IZIIIIIIIIIIIZ",
"IZIZIIIIIIIIII",
"IIIIZIIIIIZIII",
"IIIIIIIIIIZIIZ",
"IIIZIIIIIIZIII",
"IZIIIIIIIIZIII",
"IIIIZIIIIZIIII",
"IIIIIIIIIZIIIZ",
"IIIZIIIIIZIIII",
"IZIIIIIIIZIIII",
"IIIIIIIIIZZIII",
"IIIIZIIIZIIIII"... | [
0.5,
1,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5... | 0.944067 | [
-0.021759544490300868,
-0.8129178391790248,
0.08080362872148196,
0.1058946028515379,
-0.46131958992601974,
0.5690573855613122,
-0.785022796161106,
0.3347115905020982,
1.0860162814879026,
-0.09519359290037288,
-1.4354758230357065,
0.24337184934904005,
0.4734837317039878,
-0.5709464486832951... | {
"n_parameters": 25,
"n_qubits": 14,
"optimal_eigenvalue": -8.666666666666618,
"target_ratio": 0.97,
"target_value": -8.40666666666662
} | 300 |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.014825582499586265, "params": [[0.030000000000000002, 0.052000000000000005], [-0.0196, -0.038200000000000005]], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities": [0.4925872087502066, 0.5074127912497929], "optimization_time": 0.9449834823608398} | -1.0 * Z(0) | 5 | 1 | 2 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[1] c;
qubit[1] q;
h q[0];
rz(x0) q[0];
h q[0];
rz(x1) q[0];
h q[0];
rz(x2) q[0];
h q[0];
rz(x3) q[0];
h q[0];
c[0] = measure q[0]; | {"start_node": 0, "end_node": 2} | {"circuits": [], "gradients": []} | [
"Z"
] | [
-1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
fc7b19754949f0e05a27875fb69f344a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [15, 31], "expectation_value": -21.14207965195293, "params": [-0.0024000000000000002, 0.006200000000000001, -0.0024000000000000002, 0.003, -0.0025, 0.0027, 1.6591, 0.0081, 3.1444, 0.0039000000000000003, 3.1438, 0.0034000000000000002, -2.9203, 0.0037, -2.7851000000000004, 0.0014, 0.008700000000000001, 0.0047,... | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 18 | 8 | 1 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 53.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.039738840687134236) q[0];
rz(-0.2353337499900654) q[0];
rx(-0.039738840687134236) q[1];
rz(-0.021455568999004995) q[1];
rx(0.00241554966618817) q[2];
rz(0.13687828871885735) q[2];
rx(2.1135641398643044) q[3];
rz(0.09140913237800194) q[3];
rx(3.251386907726556) 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": 3} | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII"
] | [
2,
6,
3,
-1,
-0.5,
-1.5,
-2,
-1,
-3,
1,
-0.25,
-0.25,
-0.125,
9,
4.5,
13.5,
-1.5,
-3,
-1,
-0.5,
-0.5
] | 0.972155 | [
-0.039738840687134236,
-0.2358725824553829,
-0.021455568999004995,
0.00241554966618817,
0.13687828871885735,
2.1135641398643044,
0.09140913237800194,
3.251386907726556,
0.10228857007698645,
3.096010759129636,
-0.05175610628712672,
-2.9402631276470084,
0.16839375237658555,
-2.80609486114488... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -22.125,
"target_ratio": 0.97,
"target_value": -21.46125
} | 4 |
3179afe1dc957b5c6c41286c03203dc8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [25, 38], "expectation_value": -0.2790835992701864, "params": [[0.0687, -0.0018000000000000002], [-0.07060000000000001, -0.0286]], "bitstrings": ["1100110", "1011001"], "total_optimization_steps": 10, "probabilities": [0.009217440050901537, 0.009439660596994873], "optimization_time": 2.9710915088653564} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101001", "1011001", "1100110", "0101011", "1100101", "0100111"], "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(-0.13519463971453738) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.13519463971453738) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(-0.13519463971453738) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIIZIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1.5,
0,
-0.5,
-0.5
] | 0.886931 | [
-0.13519463971453738,
-1.6691644219825768,
-0.6313546200021425,
0.11027252980613785,
1.1036832609062868,
-1.79926365316697,
1.0758154656507484,
1.9622076409523441,
-2.3901140905378706,
-1.0044660673943189,
-0.4784452543272119
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 352 |
3a47978bfb976fd6248810daacdb4903 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [564, 596], "expectation_value": -3.151139904865957, "params": [0.8027000000000001, 0.0007, 0.0026000000000000003, 0.5776, 0.0023, -0.46730000000000005, 0.8003, 0.4521, 0.8066, 0.3633, 0.8014, -0.0081, 0.0013000000000000002, 0.4088, 0.8042, 0.5979, 0.8032, 0.7162000000000001, 0.0028, 0.6058, 0.8032, 0.0082, ... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 18 | 10 | 2 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0110101011", "0110000000", "0110101101", "0110010001", "0111001011", "0111001101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6566433803157805) q[0];
rz(-0.5635484037530434) q[0];
rx(-0.08458123676006576) q[1];
rz(1.1774379964221435) q[1];
rx(0.05460809018472292) q[2];
rz(-0.2485327778063438) q[2];
rx(2.1111802145115894) q[3];
rz(0.24582046501630292) q[3];
rx(0.23032023843005026) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIIZIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIII"... | [
-0.5,
1,
-0.5,
0.5,
-1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
-0.16666666666666666,
1,
-2,
1,
2,
0.5,
0.5,
0.5,
0.8333333333333334,
-0.3333333333333333,
-0.3333333333333333
] | 0.972111 | [
1.6566433803157805,
-0.19670393659137253,
-0.08458123676006576,
1.1774379964221435,
0.05460809018472292,
-0.2485327778063438,
2.1111802145115894,
0.24582046501630292,
0.23032023843005026,
0.31345605388271675,
1.0081605341475985,
-0.16074160645590554,
0.020028144123884657,
0.288359995550519... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -6.666666666666666,
"target_ratio": 0.97,
"target_value": -6.466666666666666
} | 34 |
fcba12f78dbb04a944afdfe31d032329 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 65], "expectation_value": -0.5029111055223612, "params": [[-0.0284, -0.0256, -0.0427, -0.0323], [0.0244, 0.0105, 0.0327, 0.0325]], "bitstrings": ["11111110", "10111110"], "total_optimization_steps": 10, "probabilities": [0.006081206756289994, 0.006286705927576715], "optimization_time": 14.072065830230713... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4254799601393619) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.4254799601393619) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0294819745702197) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0294819745702197) ... | OPENQASM 3.0;
include "stdgates.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",
"IIIZZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
0,
-0.25,
-0.5,
0.25,
0.5,
1,
0,
-1
] | 0.965139 | [
0.4254799601393619,
0.0294819745702197,
-0.8480239773916536,
0.4187717515697565,
0.6696261157821541,
0.305487811964182,
0.5015073803258601,
-0.3150905293887279,
0.8566058060930665,
0.5723667175968977,
-0.1886534447062073,
-0.03350896778430279,
1.0910279095719788,
-0.16547738044583582,
-0... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 500 |
a8af5a844c6b7264f669c1b8b9005a26 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 8}, {"capacity": 6, "source": 2, "target": 8}, {"capacity": 1, "source": 3, "target": 1}, {"capacity": 2, "s... | {"states": [123, 127], "expectation_value": -9.535691942848088, "params": null, "bitstrings": ["110000100", "110000000"], "total_optimization_steps": 58, "probabilities": [0.39358510964877785, 0.39358510964877785], "optimization_time": 69.41159009933472} | 0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["100000100", "100000000", "110011100", "110000100", "110000000", "110010100"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.505009769555469) q[0];
h q[1];
ry(-1.6077441895945872) q[1];
h q[2];
ry(0.8284337385535052) q[2];
h q[3];
ry(0.7864209970508521) q[3];
h q[4];
ry(0.7766345099630225) q[4];
h q[5];
ry(0.8161067009306773) q[5];
h q[6];
h q[7];
ry(1.5259056825138972) q[7];
cx... | 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(-1.57) 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] = me... | [
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZZIIIIIII",
"IZIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.25,
-1.5,
-0.5,
-0.25,
-1.5,
-0.5,
-1.5,
-1,
-0.75,
-1.5,
-2,
-0.25,
-0.5,
0.75,
-3.25,
1,
-0.5,
2.5,
2.25
] | 0.976042 | [
-1.6077441895945872,
1.5259056825138972,
1.6568674771070104,
1.6322134018613546,
1.5728419941017042,
1.553269019926045,
-1.010019539110938,
0.37603075659380614,
0.32506128830629594,
0.7422913414550457,
-0.5336589698862334,
-0.18940705976798117,
0.2422029102598407,
0.005366032189264451,
0... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 1 |
e1d1d966936db8b0a168f391b43f0ca9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1130, 1126], "expectation_value": -111.91853017957763, "params": [[0.9794, -0.06810000000000001, -0.0088, -0.0009000000000000001, 0.42710000000000004, 0.5885, -0.0027, 0.5826, 0.28600000000000003, 1.1789, -0.0027], [0.9559000000000001, -0.0468, 0.0012000000000000001, -0.0024000000000000002, 1.3522, 1.3743, ... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 0.5 * Z(1) + 5.5 * Z(0) + 15.0 * Z(5) + -6.0 * Z(2) + 11.0 * Z(6) + 13.0 * Z(4... | 10 | 11 | 3 | {"smallest_eigenvalues": [-116.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["01110011001"], "largest_eigenvalue": 176.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.109054113304779) q[0];
ry(-0.04545100894231509) q[1];
ry(-0.006286048583102971) q[2];
ry(-0.0391072894566135) q[3];
ry(0.34403695687638874) q[4];
ry(0.46986553491634225) q[5];
ry(-0.0330342111423434) q[6];
ry(0.43150089907018224) q[7];
ry(0.23417056330047997) 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], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIIIZIIZI",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"IIIZIIIIIIZ",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IIZZIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IZIIIIIIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
0.5,
5.5,
15,
-6,
11,
13,
15.5,
9.5,
6,
-10,
-13.5
] | 0.973196 | [
1.109054113304779,
-0.04545100894231509,
-0.006286048583102971,
-0.0391072894566135,
0.34403695687638874,
0.46986553491634225,
-0.0330342111423434,
0.43150089907018224,
0.23417056330047997,
1.2370415072675676,
0.9905206747909886,
-0.07224108629527548,
0.12117429166799129,
-0.08022276263326... | {
"n_parameters": 41,
"n_qubits": 11,
"optimal_eigenvalue": -116,
"target_ratio": 0.97,
"target_value": -112.52
} | 16 |
fd9320956c214e5ba4d50c0bb63f5f4a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [0, 8128], "expectation_value": -70.13603590519821, "params": [[[0.0027, 0.0009000000000000001], [-0.0026000000000000003, 0.006900000000000001], [0.0027, 0.0079], [0.0027, 0.0038], [-0.0027, 0.0047], [0.0023, 0.0051], [1.6098000000000001, 0.0032], [0.0021000000000000003, 0.0046], [0.0024000000000000002, 0.00... | -3.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.5 * (Z(2) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(3)) + -3.5 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(3)) + -3.... | 2 | 13 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["0000000111111"], "largest_eigenvalue": 73.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.009756625635590897) q[0];
rz(-0.16062422898297787) q[0];
rx(0.050292394605092536) q[1];
rz(-0.08931919126502955) q[1];
rx(0.009756625635590897) q[2];
rz(0.015603530305387164) q[2];
rx(0.009756625635590897) q[3];
rz(-0.03212377302653631) q[3];
rx(-0.046060571612764... | OPENQASM 3.0;
include "stdgates.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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIZIII",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIZZIIII",
"IIIIIIZIIIIZI",
"IIIIIIZIIII... | [
-3.5,
-3,
-3.5,
1.5,
-3.5,
1.5,
2,
-3.5,
-3,
1.5,
-3.5,
2,
-3.5,
-3.5,
-3.5,
-3.5,
2,
-3.5,
-3.5,
-3.5,
-3,
-3.5,
1.5,
-3,
-3.5,
2,
-3.5,
1.5,
-3,
1.5,
-3.5,
-2.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-2.5,
... | 0.971311 | [
0.009756625635590897,
-0.16062422898297787,
0.050292394605092536,
-0.08931919126502955,
0.015603530305387164,
-0.03212377302653631,
-0.04606057161276438,
-0.37793321844253114,
-0.01928724016090155,
-0.014334545321011,
2.0392952219701304,
-0.0765525892187533,
0.1008978548201073,
0.074926144... | {
"n_parameters": 21,
"n_qubits": 13,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 6 |
17639781641b88f9ffa836608d3b637d | 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": 15, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {... | {"states": [248, 124], "expectation_value": -13.924386196481894, "params": [[-0.0257], [0.0791]], "bitstrings": ["00000111", "10000011"], "total_optimization_steps": 10, "probabilities": [0.0066068306477848025, 0.00723649500237222], "optimization_time": 3.0650856494903564} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 174.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIIZ",
"IIZIIZII",
"IIZZIIII",
"IIIIZIIZ",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
15,
22.5,
20.5,
14.5,
22,
5.5,
-1.5
] | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
64a6a8fe1cb9ef7d229e464b8e6d867d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [693, 757], "expectation_value": -2.2777023367902305, "params": [[0.0911, 1.0685, -0.1037, 1.0974000000000002, 0.8055, 1.1012, 1.0962, 0.38180000000000003, 0.8825000000000001, 0.2853, 0.9851000000000001], [0.1816, 1.0470000000000002, 0.046700000000000005, 0.6922, 0.0776, 0.25830000000000003, 0.38970000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(9) @ Z(3)) + 0.12... | 10 | 11 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.4375, "smallest_bitstrings": ["01100010010", "10... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.16841743971234358) q[0];
ry(1.2892812627798338) q[1];
ry(-0.11302438152906613) q[2];
ry(1.6502732747739643) q[3];
ry(0.9083430137360973) q[4];
ry(1.790089806621845) q[5];
ry(1.7807994336060335) q[6];
ry(0.5284374924457896) q[7];
ry(0.9772345018275379) q[8];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIIZZIIIIZ",
"IIIZIIIIZII",
"IIIIIZIZIII",
"IIZIIIIZIII",
"IZIIIIIZIII",
"IIZIIZIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IIZIIZIZIII",
"IZIIIZIZIII",
"IZZIIIIZI... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
... | 0.975954 | [
-0.16841743971234358,
1.2892812627798338,
-0.11302438152906613,
1.6502732747739643,
0.9083430137360973,
1.790089806621845,
1.7807994336060335,
0.5284374924457896,
0.9772345018275379,
-0.030382814018180833,
0.8033327363866123,
0.030307390735139814,
1.1224050936469687,
-0.13885941199831134,
... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 33 |
-5288719477845005165 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 4, 6, 7, 9], [2, 3], [4, 5, 6, 7, 8, 9, 11], [0, 3, 4, 5, 7, 9, 10, 11], [0, 4, 5, 8, 9, 10], [0, 3, 4, 5, 7, 8, 10, 11], [0, 1, 2, 4, 6, 8, 9, 10], [1, 3, 7, 8, 11], [1, 5, 6], [0, 1, 4, 5, 11], [0, 9, 11, 6], [1, 5, 7, 10, 11], [3, 4, 5, 6, 9, 10], ... | {"states": [2430, 2686], "expectation_value": -4.620054558710802, "params": [[[3.1438, 0.0078000000000000005, 0.0027, 0.0074], [0.48400000000000004, 0.0028, 0.2452, 0.0031000000000000003], [1.5748, 0.0037, 0.002, 0.0081], [1.5773000000000001, 0.003, 0.7897000000000001, 0.0051], [-0.0022, 0.0073, 0.00030000000000000003,... | 0.2011904761904762 * (Z(4) @ Z(6)) + 0.175 * (Z(8) @ Z(6)) + 0.11785714285714287 * (Z(8) @ Z(4)) + 0.22619047619047616 * (Z(9) @ Z(6)) + 0.13333333333333333 * (Z(9) @ Z(4)) + 0.19047619047619047 * (Z(9) @ Z(8)) + 0.17619047619047618 * (Z(11) @ Z(6)) + 0.06785714285714287 * (Z(11) @ Z(4)) + 0.27499999999999997 * (Z(11) ... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.647619047619049], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.594047619047619, "smallest_bitstrings": ["010110000001"], "largest_eigenvalue": 21.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.110990552738671) q[0];
rz(-0.16857618860302284) q[0];
ry(0.5109362413924553) q[1];
rz(0.056171656626069905) q[1];
cz q[1], q[0];
ry(0.6024972362083802) q[1];
ry(1.691219399538148) q[2];
rz(0.09850404927862601) q[2];
ry(1.5270399194872764) q[3];
rz(0.02482016178362... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIZIIIZIIII",
"IIZIIZIIIIII",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"ZIIIIZIIIIII",
"ZIIIIIIZIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIZZIIIII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIZIIIZIIIII",
"ZIIIIIZIIIII",
"IIIIZZIIIIII",
"IIIIZIIZIIII",
"IIIZZIIII... | [
0.2011904761904762,
0.175,
0.11785714285714287,
0.22619047619047616,
0.13333333333333333,
0.19047619047619047,
0.17619047619047618,
0.06785714285714287,
0.27499999999999997,
0.15833333333333333,
0.2357142857142857,
0.5,
0.06666666666666667,
0.11904761904761904,
0.10833333333333334,
0.2... | 0.989816 | [
3.110990552738671,
-0.16857618860302284,
0.5109362413924553,
0.056171656626069905,
1.691219399538148,
0.09850404927862601,
1.5270399194872764,
0.02482016178362775,
-0.04133771706039569,
-0.05795238478419078,
1.0452154814510846,
-0.0013400306435379895,
3.1893844479638633,
0.0612943721032524... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -4.647619047619049,
"target_ratio": 0.97,
"target_value": -4.508190476190477
} | 1 |
63619e020a1c90ad7a6b86d090a55f7a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [971, 843], "expectation_value": -2.0989918327046793, "params": [[[1.0029000000000001, -0.0006000000000000001], [0.9945, 0.0012000000000000001], [0.7647, 0.1265], [1.0055, -0.0017000000000000001], [0.0028, 0.7401], [0.3548, -0.3311], [1.0013, -0.0001], [0.1029, -0.4489], [1.0004, -0.0041], [1.0076, -0.000900... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 1 | 10 | 2 | {"smallest_eigenvalues": [-4.375, -4.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.375, "smallest_bitstrings": ["0010110100", "1000101010"], "largest_eigenvalue": 7.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(1.5909556163570855) q[0];
ry(3.000768215314535) q[0];
rz(-1.8697597946910358) q[0];
rz(0.2746223796299474) q[1];
ry(2.9149991987197774) q[1];
rz(2.4213868312319082) q[1];
rz(2.671580498803464) q[2];
ry(0.14628652987164015) q[2];
rz(2.719482014150013) q[2];
rz(2.2493... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIZIIIIZ",
"IIZZIIIIII",
"IIIIZIIIZI",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZIIZIIIZI",
"IIIZIIIZII",
"ZIIIIIIZII",
"ZIIZIIIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
0.125,
0.125,
0.125,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
0
] | 0.984425 | [
1.8038630716469954,
0.003039301900856023,
1.3476242111960004,
-0.22071771191792136,
0.26726901180470986,
-0.5817490002590167,
1.5471924487141808,
0.0898884201021714,
-0.03847792122378928,
1.2046675977824643,
-0.04942565903949542,
-0.3266260937995774,
1.349230881644081,
-0.05329805020817047... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -4.375,
"target_ratio": 0.97,
"target_value": -4.2437499999999995
} | 41 |
de9a133a4fe74953491b34b384361641 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"sour... | {"states": [421, 417], "expectation_value": -4.935216011783578, "params": [1.6918, -0.0014, 1.713, -0.0002, -0.0041, 0.7561, 1.7024000000000001, 0.0032, 0.0921, -0.014400000000000001, -0.0111, -0.7925000000000001, 1.4754, 0.0038, 1.4069, 0.0034000000000000002, 1.7033, 0.0043, 1.4838, -1.625, 0.006, -1.6752, -0.18530000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * Z(2) ... | 4 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["001111010", "001011110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.3688428137656055) q[0];
rz(1.2955696483316732) q[0];
rx(3.141233421669499) q[1];
rz(1.5033146228347176) q[1];
rx(-0.17732276271145722) q[2];
rz(1.711055577699243) q[2];
rx(-2.928588900895605) q[3];
rz(1.4374239177188128) q[3];
rx(-0.22535226029836256) q[4];
rz(1.91... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIIIZZI",
"IIIZIIIZI",
"IZIIIIZII",
"IZIIIIIZI",
"IIIIZZIII",
"IZZIIIIII",
"IIZIIZIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1,
-1.5,
-0.5,
-0.5,
-0.5
] | 0.975527 | [
1.3688428137656055,
-0.275226678463223,
3.141233421669499,
-0.06748170396017888,
-0.17732276271145722,
0.14025925090434643,
3.3545964062839815,
-0.1333724090760836,
-0.22535226029836253,
0.3439537099815579,
-0.1973747399420228,
-0.8991550818650456,
0.22687613989287708,
0.5313503006251674,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 26 |
e187371d430b945e0e1d69926f02e89f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 4, "source": 2, "target": 5}, {"capacity": 4, "source": 4, "target": 1}, {"capaci... | {"states": [4607, 6655], "expectation_value": -56.86502752760437, "params": [0.0027, 0.7412000000000001, 0.0028, 1.1696, 0.9224, 0.0095, -0.7919, 0.0032, 0.031900000000000005, 0.7461, 0.0028, 0.8522000000000001, 1.5441, 0.0053, 1.0376, 0.1791, 1.5803, 0.0029000000000000002, 1.0507, -0.20220000000000002, 1.5778, 0.0146,... | -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5... | 16 | 15 | 2 | {"smallest_eigenvalues": [-59.83333333333215], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.83333333333132, "smallest_bitstrings": ["110011000000000"], "largest_eigenvalue": 153.16666666666723} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.12846654868711385) q[0];
rz(0.14685153751655733) q[0];
rx(0.07075102675611293) q[1];
rz(0.8668088802488729) q[1];
cx q[1], q[0];
rz(0.46804895589914874) q[0];
cx q[1], q[0];
rx(-0.12846654868711388) q[0];
rz(-0.15832510316320736) q[0];
rz(0.05214212492330192) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZII",
"IIIIIIIIIIIZZII",
"IIIIIIIZIIIZIII",
"IIIIIIZIIIIIZII",
"IIIIIIZZIIIIIII",
"IIIIIIZIIIIZIII",
"IIIIIZIIIIIIZII",
"IIIIIZIZIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIIZZIIIIIIII",
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZ",
"IIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZ",
"... | [
-0.5,
1,
-1,
-1,
2,
-2,
-0.5,
1,
-1,
2,
-0.5,
1,
-1,
0.5,
-0.5,
1,
-1,
0.6666666666666667,
-2,
-1,
0.5,
1,
0.5,
1,
2,
1,
2,
0.5,
1,
0.5,
0.5,
1,
1,
2,
1,
1,
2,
1,
1.5,
3,
1.5,
1.5,
3,
1.5,
3,
-0.5,
7,
-1,
14,
7,
0.5,... | 0.971406 | [
-0.12846654868711382,
0.6149004934157067,
0.07075102675611293,
0.8668088802488729,
1.0620761926639546,
0.07475898552088385,
-1.166640594281076,
0.11603444742160975,
0.15658895274400933,
1.022334621228668,
0.815482292845408,
1.629876098291157,
-0.030601744312807353,
1.0103907102293828,
0.... | {
"n_parameters": 74,
"n_qubits": 15,
"optimal_eigenvalue": -59.83333333333215,
"target_ratio": 0.97,
"target_value": -58.03833333333218
} | 6 |
712b030d217f3cf9b2b341027ce3b496 | matching | 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": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 14, "source": 1, "target": 6}, {"weight": 3, "source... | {"states": [243, 218], "expectation_value": -36.98127606365633, "params": null, "bitstrings": ["100001100", "100100101"], "total_optimization_steps": 100, "probabilities": [0.14664906187881477, 0.20802082059973423], "optimization_time": 158.72126817703247} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 4.0 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.11626367191495617) q[0];
rz(-0.2106040854003126) q[0];
rx(0.9478855789126086) q[1];
rz(-0.06828684283665343) q[1];
rx(-0.20148789490429764) q[2];
rz(0.24190586838730788) q[2];
rx(-0.10600745945522326) q[3];
rz(0.24682421348931705) q[3];
rx(0.7705790951013602) q[4]... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"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(26.9543) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
4,
12,
7,
1.5,
13,
0.5,
10.5,
15
] | 0.971796 | [
-0.11626367191495618,
-0.03173752259946515,
0.9478855789126086,
-0.10405674410918156,
-0.20148789490429764,
0.16198685409452146,
-0.10600745945522325,
0.24035094405800145,
0.7705790951013602,
-0.3696644980084714,
0.5459902919862265,
-0.19463096022212167,
-0.27051526918250374,
-0.2029262882... | {
"n_parameters": 174,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 83 |
9915ff93784d747e82bcd9a73a2399e5 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 4}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 0, "target": 4}, {"source": 4, "target": 3}]} | {"states": [27869, 28011], "expectation_value": -1.3110340605430844, "params": [[-0.1264], [0.1115]], "bitstrings": ["001001100100010", "001001010010100"], "total_optimization_steps": 20, "probabilities": [5.922882015064335e-05, 5.922882015064335e-05], "optimization_time": 74.73007011413574} | 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(12) @ Z(3)) + 0.25 * (Z(12) @ Z(6)) + 0.25 ... | 1 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999952, "smallest_bitstrings": ["001001010010100"], "largest_eigenvalue": 26.25000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[4], q[3]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZIII",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIZIIZIII",
"IIIIIIIZIIZIIII",
"IIIIIIIZZIIIIII",
"IIIIIIZIIZIIIII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIZIIIIIIIIZIII",
"IIZIIIIIZIIIIII",
"IIZIIIIIIIIIIIZ",
"... | [
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,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
1.5,
1.5,
1.5,
0.75,
0.75,
... | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
-6093224199140454729 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [8, 1], [8, 2, 3, 5], [0, 1, 4, 5], [8, 7]]} | {"states": [0, 349], "expectation_value": -0.025334691232327844, "params": [0.7018, -0.0002, 0.6994, 0.0012000000000000001, 0.6964, -0.0026000000000000003, 0.6932, 0.006900000000000001, 0.7083, 0.005200000000000001, 0.7046, 0.0004, 0.7062, 0.0046, 0.7053, 0.0099, 0.6999000000000001, 0.004, 0.6958000000000001, 0.0045000... | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["000010101", "011000010", "010100010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.296084895591259) q[0];
rz(1.826441970472267) q[0];
rx(0.02655178072697016) q[1];
rz(1.7443085891561116) q[1];
rx(0.5419007841729224) q[2];
rz(1.2928479493407865) q[2];
rx(1.4409330841571086) q[3];
rz(1.3072714499306555) q[3];
rx(1.5825316310602071) q[4];
rz(1.54925... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIIIIZI",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZIIIZ",
"ZZIIIIIII",
"IIZIIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0,
0.124999999999... | 0.971633 | [
2.296084895591259,
0.2556456436773699,
0.02655178072697016,
0.1735122623612149,
0.5419007841729224,
-0.2779483774541098,
1.4409330841571089,
-0.2635248768642414,
1.5825316310602071,
-0.021537272479131606,
0.7482919489228059,
-0.23772932083549994,
2.216005850442097,
-0.025788417223147692,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 168 |
7016843489726828262 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 6], [0, 1, 6, 7, 8], [0, 4, 5, 6, 7, 8], [0, 1, 3, 6], [0, 1, 2, 5, 6], [0, 2, 4, 5, 8], [2, 3], [0, 1, 4, 7], [0, 3, 4, 6]]} | {"states": [189, 191], "expectation_value": -1.1822352454051732, "params": [[0.37010000000000004], [-0.3557]], "bitstrings": ["101000010", "101000000"], "total_optimization_steps": 40, "probabilities": [0.0066215294533620885, 0.006713217014875346], "optimization_time": 5.934776782989502} | 0.21666666666666667 * (Z(2) @ Z(4)) + 0.2833333333333333 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.1 * (Z(0) @ Z(2)) + 0.3 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.18333333333333335 * (Z(1) @ Z(6)) + 0.26666666666666666 * (Z(1) @ Z(0)) + 0.1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.35], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3, "smallest_bitstrings": ["101000000"], "largest_eigenvalue": 8.499999999999998} | 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[2];
rz(-0.036770874897437765) q[2];
cx q[4], q[2];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.1714113415730378) q[6];
cx q[4], q[6];
cx q[2], q[6];
cx q[4], q[0];
rz(0.0794793274884904) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZII",
"IIZIZIIII",
"IIZIIIZII",
"IIIIZIIIZ",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIIIIZZ",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIIIIZI",
"ZIIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZZIIIIIII",
"IIIZZIIII",
"... | [
0.21666666666666667,
0.2833333333333333,
0.21666666666666667,
0.25,
0.1,
0.3,
0.08333333333333333,
0.05,
0.18333333333333335,
0.26666666666666666,
0.11666666666666667,
0.08333333333333334,
0.16666666666666669,
0.13333333333333333,
0.08333333333333334,
0.05,
0.08333333333333334,
0.1... | 0.741401 | [
-0.036770874897437765,
0.1714113415730378,
0.0794793274884904,
0.041987650991627,
0.084372570076337,
0.0969886485973988,
0.004932789929744209,
0.07954433980153788,
0.09199494786966965,
0.20829684827934045,
0.005288502933000676,
0.29587034247861854,
0.07300137363860842,
1.5638709015467647,
... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -2.35,
"target_ratio": 0.97,
"target_value": -2.2795
} | 444 |
f619afa25c1921f996d128a1dfefef72 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 27], "expectation_value": -0.14838678407453113, "params": [[-0.047900000000000005, -0.0545], [0.0618, 0.0653]], "bitstrings": ["101001", "100100"], "total_optimization_steps": 10, "probabilities": [0.018083872012694624, 0.01926875217667435], "optimization_time": 2.9366791248321533} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-0.5,
0,
-0.5,
0
] | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [3443, 3445], "expectation_value": -6.245388836691124, "params": null, "bitstrings": ["001010001100", "001010001010"], "total_optimization_steps": 100, "probabilities": [0.0570046881067329, 0.8149526781416564], "optimization_time": 236.62577724456787} | 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(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["010001010100", "010001010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\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];... | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
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,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
36ff2850f9ca4956ff6a75a44d9ad0dc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [766, 1327], "expectation_value": -0.02252446922115765, "params": [[0.0033, 0.0034000000000000002, 0.004, 0.006200000000000001, 0.005, 0.0077, 0.0085, 0.0086, 0.006200000000000001, 0.0061, 0.0045000000000000005], [0.00030000000000000003, 0.0031000000000000003, -0.4398, 0.0044, 0.0085, 0.006, 0.00680000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(1)... | 9 | 11 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 26, "first_excited_energy": -2.25, "smallest_bitstrings": ["00101100100", "10... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cz q[10], q[9];
rx(-0.13175179733157877) q[10];
h q[10];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZZIIZ",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIZZZIIIII",
"IIIIIZIIIZI",
"IIZIIIIIIZI",
"IZIIIIIIIZI",
"IIZIIZIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IIZIIZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,... | 0.076923 | [
1.5707965843928602,
-6.250215574404665e-8,
0.4800264076414042,
0.30762598108994876,
1.570796582306965,
0.22113488257277297,
-3.013440284091102e-7,
-1.5707961608689993,
-0.12593085181051042,
-0.13175179733157877,
-0.580708177958514,
-0.48002629318198703,
-1.5707960986992084,
-0.843060424767... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 498 |
02575a12c565dc28617818fe7f0b4a99 | matching | qaoa | {"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": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [124, 118], "expectation_value": -8.236459644649543, "params": [[-0.0514], [0.0621]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006941240881682552, 0.007395548769814734], "optimization_time": 2.029224395751953} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
7.5,
13.5,
13.5,
9,
14,
16.5,
4
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
-0.4759729115203181,
0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
50ae2479d5601754158b9fc59193bb01 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [236, 204], "expectation_value": -2.854857288892862, "params": [0.5967, 0.5959, 0.5995, 0.5962000000000001, 0.3261, 0.3336, 0.0048000000000000004, 0.0031000000000000003, 0.5939, 0.5951000000000001, 0.6058, 0.6046, 0.0016, -0.0009000000000000001, 0.108, 0.10600000000000001, 0.5963, 0.5963, 0.5918, 0.592100000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 13 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.625, "smallest_bitstrings": ["01010011", "00111010", "10010011", "00110011"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8641516243728328) q[0];
rz(0.12726576765066508) q[0];
ry(0.7102320564934299) q[1];
ry(0.22422525448080505) q[2];
ry(-0.026146315359939894) q[3];
ry(0.6080971468829723) q[4];
ry(0.782750503349865) q[5];
ry(-0.08643926721123996) q[6];
ry(-0.03991970599118564) q[7];
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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIIZ",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIIZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIIIZI",
"ZIIZIIII",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.25,
0,
-0.125,
0.125,
-0.625,
-1,
-0.25
] | 0.971114 | [
0.8641516243728328,
0.7102320564934299,
0.22422525448080505,
-0.026146315359939894,
0.6080971468829723,
0.782750503349865,
-0.08643926721123996,
-0.03991970599118564,
0.25453153530133016,
0.46343250275949954,
-0.08223540585418547,
0.073471514791184,
0.3957229011270565,
0.14637513115560807,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 7 |
7622482813744206840 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 7, 9, 11], [0, 5, 7, 8, 9], [8, 3], [10, 7], [1, 2, 5, 6, 8, 10, 11], [2, 4, 6], [9, 3, 4, 6], [0, 1, 3, 7, 11], [11, 4], [0, 2, 3, 4, 5, 9], [0, 1, 2, 5, 6, 7, 9], [2, 5, 8, 9, 10, 11], [9, 3, 1], [1, 3, 5, 6, 10, 11], [0, 1, 2, 4, 5, 9, 10], [0, ... | {"states": [3957, 1909], "expectation_value": -4.250673862521217, "params": [0.7748, 0.8486, 1.5872000000000002, 1.5801, 1.3153000000000001, 1.576, 1.3821, 1.5824, 0.36150000000000004, 0.34490000000000004, 1.5779, 1.5826, 1.5906, 1.4271, 1.249, 1.2946, 0.30910000000000004, 0.25630000000000003, 1.5810000000000002, 1.581... | 0.25 * (Z(0) @ Z(3)) + 0.3 * (Z(7) @ Z(3)) + 0.25476190476190474 * (Z(7) @ Z(0)) + 0.36666666666666664 * (Z(9) @ Z(3)) + 0.18095238095238095 * (Z(9) @ Z(0)) + 0.12380952380952381 * (Z(9) @ Z(7)) + 0.25 * (Z(11) @ Z(3)) + 0.35 * (Z(11) @ Z(0)) + 0.1 * (Z(11) @ Z(7)) + 0.11666666666666667 * (Z(11) @ Z(9)) + 0.26666666666... | 14 | 12 | 1 | {"smallest_eigenvalues": [-5.426190476190477], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.376190476190478, "smallest_bitstrings": ["100010001010"], "largest_eigenvalue": 22.500000000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.27530840921308497) q[0];
rz(pi/2) q[0];
ry(1.6595651377805725) q[1];
ry(1.5573415476330716) q[2];
ry(1.266605872804904) q[3];
ry(0.21894337623264007) q[4];
ry(1.2620753172326924) q[5];
ry(1.6596036187305567) q[6];
ry(1.5984301254747062) q[7];
ry(0.0407754091445086... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIIZIIZ",
"IIIIZIIIZIII",
"IIIIZIIIIIIZ",
"IIZIIIIIZIII",
"IIZIIIIIIIIZ",
"IIZIZIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIIIIIZ",
"ZIIIZIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIZIZIII",
"IIIIIIZIIIIZ",
"IIIIZIZIIIII",
"IIZIIIZIIIII",
"ZIIIIIZIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIIIZ",
"IIIZZIIII... | [
0.25,
0.3,
0.25476190476190474,
0.36666666666666664,
0.18095238095238095,
0.12380952380952381,
0.25,
0.35,
0.1,
0.11666666666666667,
0.26666666666666666,
0.29523809523809524,
0.15476190476190477,
0.16428571428571428,
0.1738095238095238,
0.5,
0.09761904761904762,
0.09761904761904762... | 0.975336 | [
0.27530840921308497,
1.6595651377805725,
1.5573415476330716,
1.266605872804904,
0.21894337623264007,
1.2620753172326924,
1.6596036187305567,
1.5984301254747062,
0.04077540914450861,
1.1971332959469345,
1.4811776180903915,
0.1910745183866806,
0.09609536526342691,
0.1839561969603502,
0.724... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -5.426190476190477,
"target_ratio": 0.97,
"target_value": -5.263404761904763
} | 18 |
e95c8bc22a5c03425fc32d877756198b | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [44, 28], "expectation_value": -3.996446952350972, "params": null, "bitstrings": ["1010011", "1100011"], "total_optimization_steps": 28, "probabilities": [0.06701298199200859, 0.929703967356024], "optimization_time": 22.617986917495728} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "1101100", "1010011", "0011101", "1100011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.579450656118302) q[0];
h q[1];
ry(-0.44857055279780694) q[1];
h q[2];
cx q[2], q[1];
ry(0.44857055279780694) q[1];
cx q[2], q[1];
ry(-0.6176282854684922) q[1];
ry(0.9354167381087468) q[2];
h q[3];
ry(1.354925211870143) q[3];
cx q[3], q[2];
ry(-0.2031831782... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
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,
-1,
-0.5,
-0.5
] | 0.995957 | [
-1.579450656118302,
-1.4796410360738341,
1.354925211870143,
1.5350111707384577,
-0.8971411055956139,
0.7322335598561136,
-0.11609142966867134,
-0.49347830243712204,
0.40636635650526653,
-0.24829996606274043,
0.2523136444711719,
-0.1666060973439571,
-0.08691841742404358,
0.04526886395189124... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 7], "expectation_value": -0.8626245168255811, "params": [[[0.4249, -0.0839], [0.4277, 0.0849], [0.4142, 0.08460000000000001], [0.5942000000000001, 0.0033], [0.5940000000000001, -0.0012000000000000001], [0.5896, 0.0033]], [[0.42560000000000003, 0.0839], [0.4214, 0.0849], [0.4212, 0.08460000000000001], [0.... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
e24c28a1225e0371d997320aeb87abff | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [2886, 2910], "expectation_value": -1.6595011409900962, "params": [[[0.0936, 0.0889, 0.0066, 0.0077], [0.0945, -0.0961, 0.4948, 0.24680000000000002], [0.0005, -0.186, -0.11170000000000001, -0.1985], [0.042800000000000005, -0.3382, 0.09040000000000001, -0.3795], [0.0684, 0.3206, -0.0333, 0.18760000000000002],... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(0) @ Z(9)) ... | 11 | 12 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.75, "smallest_bitstrings": ["010010100001", "001100100010", "010001100001", "010100010001", "010001100010", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1286784485183885) q[0];
rz(-pi) q[0];
ry(-3.1286784485183885) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4280074920992123) q[2];
h q[3];
ry(-1.57483087522206) q[3];
ry(-3.06011872053978) q[4];
rz(-pi) q[4];
cx q[2], q[4];
ry(-0.061314901645671084) q[4];
cx q[2], 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIZZZIII",
"IIIIZZIIIIII",
"IIIIIIIIZIIZ",
"IIIIIZIIIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIIIIZIIZIII",
"IIIZIIIIZIII",
"IIZIIIIIZIII",
"IIIZIZIIIIII",
"IIZIIZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0... | 0.997889 | [
-1.57483087522206,
-1.5582277347958484,
1.4280074920992123,
0.12262980329134217,
0.2597492592485593,
-0.010901440633785661,
-0.01106501863558813,
-0.04011769675080307
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
294512af72c0fecd4cefe8fd6a356b5c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [110, 109], "expectation_value": -22.601315186733036, "params": [[-0.040600000000000004, -0.0064, 0.0148], [0.0748, 0.07880000000000001, 0.0719]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.018306255857915715, 0.020559041402026947], "optimization_time": 13.491... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 111.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07402068680094753) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07402068680094753) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07402068680094753) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[3], q[4];
rz(0.07402068680094753) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
11.5,
13,
-3,
2,
14,
9.5,
12.5
] | 0.970283 | [
0.07402068680094753,
1.5073614578039751,
-1.2666992684437206,
-1.7659760581336494,
1.1918964393531186,
-0.7174241288636667,
-1.2945818069295907,
0.640345842373991,
-2.0164039672798895,
0.906754320820238,
1.1291606588504102,
-0.0963225932464942,
-0.514025711468184,
-0.3896493296815006,
-0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 81 |
98ff52dd3a46eb29e6baf499c47cc739 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -2.411633546218451, "params": null, "bitstrings": ["11010", "10110"], "total_optimization_steps": 17, "probabilities": [0.06012617716668137, 0.7888212083319179], "optimization_time": 9.953481674194336} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | 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(-1.5708) 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]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
f69f02979a3dd856d2f0528e75cb43d5 | 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": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 13, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [398, 236], "expectation_value": -8.221125762825704, "params": [[0.051300000000000005], [-0.067]], "bitstrings": ["001110001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.004087685732190457, 0.004614999811634459], "optimization_time": 2.105720281600952} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 17.5 * Z(1) + 5.0 * Z(0) + 15.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08508383351244203) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08508383351244203) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08508383351244203) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.08508383351244203) 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] 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",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
5,
15.5,
5.5,
8.5,
7.5,
16,
7,
-1.5
] | 0.970868 | [
-0.08508383351244203,
1.6352305149813327,
-1.5608456141352538,
1.4841041323195372,
1.729954073718733,
-1.2806005076562406,
1.449339560603237,
1.3519850224932846,
-1.3624678173902445,
-1.6502802957065026,
-1.6249373051283424
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 36 |
6600957329910727951 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 6, 7, 8], [0, 1, 2, 4, 5, 7], [0, 1, 3], [0, 8, 2, 4], [0, 1, 4, 5, 6], [0, 3, 5, 7], [8, 9, 6, 7], [8, 9, 3, 7]]} | {"states": [765, 749], "expectation_value": -1.3501139171255134, "params": [1.0995000000000001, -0.0171, 1.0891, 0.0016, 1.099, -0.0009000000000000001, 1.0919, 0.0006000000000000001, 1.1014000000000002, -0.021500000000000002, 1.0908, 0.0076, 1.0965, -0.0106, 1.0862, 0.0028, 1.1013, -0.023, 1.0985, 0.009300000000000001,... | 0.3 * (Z(0) @ Z(1)) + 0.1 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.08333333333333334 * (Z(7) @ Z(1)) + 0.16666666666666669 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(6)) + 0.05 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.13333333333333333 * (Z(8) @ Z(6)) + 0.21666666666666667 * (Z(8) @ Z(7)) + 0.0... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.9333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9000000000000004, "smallest_bitstrings": ["0100010010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.4522018845747304) q[0];
rz(1.4946523927936983) q[0];
rx(-2.944024615879629) q[1];
rz(1.827218126622582) q[1];
rx(1.949333569075402) q[2];
rz(1.5244891703142773) q[2];
rx(1.4891628027243218) q[3];
rz(1.481081469054618) q[3];
rx(1.3820739313111239) q[4];
rz(1.561217... | OPENQASM 3.0;
include "stdgates.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",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIZIIIIZII",
"IZIIIIIZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIZIZIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIIIIZIZII"... | [
0.3,
0.1,
0.1,
0.08333333333333334,
0.16666666666666669,
0.13333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.21666666666666667,
0.03333333333333333,
0.11666666666666667,
0.03333333333333333,
0.08333333333333333,
0.08333333333333334,
0.16666666666666669,
0.05,
0.0... | 0.97055 | [
1.4522018845747304,
-0.0761439340011979,
3.339160691299958,
0.2564217998276858,
1.949333569075402,
-0.04630715648061964,
1.489162802724322,
-0.08971485774027864,
1.3820739313111239,
-0.00957872500073121,
0.9942314951204296,
-0.06133089098594997,
1.8498670315854382,
-0.005374368600371819,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -1.9333333333333333,
"target_ratio": 0.97,
"target_value": -1.8753333333333333
} | 204 |
-448950129871842392 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 5], [2, 7], [0, 4, 6], [4, 5, 6], [0, 2, 4, 5], [0, 3, 4, 5, 7], [1, 4, 6, 7], [1, 2, 4, 6], [8, 1, 2], [8, 0, 4, 5], [8, 4, 7], [3, 5, 6, 7], [0, 5, 6, 7], [0, 1, 3, 6], [1, 3, 5]]} | {"states": [410, 399], "expectation_value": -0.00044221906363052163, "params": [[-0.0079], [0.0014]], "bitstrings": ["001100101", "001110000"], "total_optimization_steps": 10, "probabilities": [0.001953589037956148, 0.0019535918952447136], "optimization_time": 3.5292587280273438} | 0.3333333333333333 * (Z(8) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.3 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(7)) + 0.1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.033333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6166666666666663, "smallest_bitstrings": ["001110000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(0.05135739992757164) q[8];
cx q[2], q[8];
cx q[2], q[5];
rz(0.03670531043856038) q[5];
cx q[2], q[5];
cx q[2], q[7];
rz(-3.313245816259125) q[7];
cx q[2], q[7];
cx q[2], q[0];
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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZII",
"IIIZIIZII",
"ZIIZIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IIIIZIZII",
"ZIIIZIIII",
"IIIZZIIII",
"IZIIZIIII",
"IIIIZIIIZ",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIIZIZIII",
"... | [
0.3333333333333333,
0.25,
0.25,
0.5,
0.16666666666666666,
0.21666666666666667,
0.08333333333333333,
0.08333333333333333,
0.3,
0.13333333333333333,
0.16666666666666666,
0.25,
0.3833333333333333,
0.3,
0.3833333333333333,
0.08333333333333333,
0.3333333333333333,
0.25,
0.333333333333... | 0.97693 | [
0.05135739992757164,
0.03670531043856038,
-3.313245816259125,
-0.05238270802483398,
-0.09139099001077605,
-0.057632690232065714,
-0.020456192742316484,
-0.019539056714421896,
-0.06253097939312645,
0.014608985521096053,
-1.5999454292381952,
-1.6650053976691797,
-1.5698758889331248,
1.579500... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -4.033333333333333,
"target_ratio": 0.97,
"target_value": -3.912333333333333
} | 144 |
-6190757622442722320 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3], [8, 1], [0, 7], [0, 8], [2, 5], [9, 4], [4, 5], [9, 6], [1, 2], [2, 7], [0, 9], [2, 3], [5, 7], [0, 4], [5, 6], [1, 7], [3, 5], [4, 6], [8, 4], [4, 7], [2, 4], [1, 6], [8, 7], [0, 3], [6, 7], [8, 9]]} | {"states": [359, 357], "expectation_value": -0.13201188322485238, "params": [0.6976, 0.0031000000000000003, 0.6973, 0.0071, 0.7031000000000001, 0.0035, 0.7030000000000001, 0.0049, 0.6996, 0.0026000000000000003, 0.6893, 0.008, 0.7081000000000001, 0.0013000000000000002, 0.7061000000000001, 0.0098, 0.7068, -0.001800000000... | 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010011010", "0101100101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.10571717293142345) q[0];
rz(1.804677200019924) q[0];
rx(2.3466457797203017) q[1];
rz(1.526738657773544) q[1];
rx(0.10568605621387585) q[2];
rz(1.0602794234531085) q[2];
rx(2.1373063393482328) q[3];
rz(1.5629886909176598) q[3];
rx(2.2598148456598075) q[4];
rz(1.560... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIIIIIZIII",
"ZZIIIIIIII",
"IZIIIIIIZI",
"IIIIIIZIIZ",
"ZIIIIIIIIZ",
"IZIIIIIIIZ",
"IZZIIIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIZIIIIZII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZIIZII",
"ZIIIIZIIII",
"IZIIIZIIII",
"IIIIIZIIIZ",
"IIZIIZIIII",
"IIIIIZIZII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972348 | [
0.10571717293142346,
0.23388087322502724,
2.3466457797203017,
-0.04405766902135195,
0.10568605621387585,
-0.5105169033417879,
2.1373063393482328,
-0.007807635877236964,
2.2598148456598075,
-0.009823800409800007,
-0.2977948609842745,
0.8026412846612002,
-0.3831169722007865,
0.16552908491330... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 139 |
2658bf5f7163af35b242065cf609fa3e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [255, 4095], "expectation_value": -0.6940586037353598, "params": [[-0.040400000000000005], [0.0506]], "bitstrings": ["111100000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.0003192157974764112, 0.0003236721001378136], "optimization_time": 0.9591350555419922} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(11)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(8)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.832472417537512) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.7971816339594742) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.24622362379039842) q[2];
cx q[1], q[2];
rz(0.7556814700497831) q[1];
rx(0.89641900505... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIII... | [
-2,
-2.5,
-2,
0.5,
0.5,
-2,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.510669 | [
0.832472417537512,
0.7971816339594742,
0.24622362379039842,
0.7556814700497831,
0.10410580387811075,
0.8964190050573607
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 158 |
167693696805018478 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 5], [1, 2, 3, 4, 6, 7], [0, 2, 4, 5], [0, 2, 7], [1, 5, 6], [0, 3, 4, 5, 6, 7], [1, 2, 5]]} | {"states": [234, 250], "expectation_value": -0.8972150653374473, "params": [[0.3272], [-0.33280000000000004]], "bitstrings": ["00010101", "00000101"], "total_optimization_steps": 40, "probabilities": [0.009312738004575334, 0.009350293771855844], "optimization_time": 3.754831075668335} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.2833333333333333 * (Z(5) @ Z(0)) + 0.19999999999999998 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(5)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(5)) + 0.03333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.95], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.883333333333333, "smallest_bitstrings": ["00000101"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.036258065977632335) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(3.01918928913148e-08) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(-6.383493285350086e-08) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(9.9... | 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] 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": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZZIIII",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZZIIIII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIII... | [
0.16666666666666666,
0.5,
0.2833333333333333,
0.19999999999999998,
0.25,
0.25,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.11666666666666667,
0.11666666666666667,
0.11666666666666667,
0.06666666666666667,
0.1999999999999999... | 0.786632 | [
-0.036258065977632335,
3.01918928913148e-8,
5.2210377565326836e-8,
-6.383493285350086e-8,
-1.9192123159545856e-9,
9.936044577584889e-9,
1.3764191231942884e-8,
2.561158243653696e-7,
1.5707963718617701,
1.5707961807028912,
-1.570796246688712,
1.5707967694304352,
2.5728771255705185,
-1.570796... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -1.95,
"target_ratio": 0.97,
"target_value": -1.8915
} | 346 |
b5e203e63ec3496219a24352650f6c69 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 5}, {"weight": 16, "source": 1, "target": 3}, {... | {"states": [171, 122], "expectation_value": -19.821236033064885, "params": [[0.031900000000000005, 0.0164, -0.01], [-0.054900000000000004, -0.0468, -0.023100000000000002]], "bitstrings": ["01010100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.009982827951384107, 0.012694060327834766], "optimizatio... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 176.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009690584669794472) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.009690584669794472) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.009690584669794472) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.009690584669794472) q[3];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
10.5,
20,
22,
19.5,
2,
15,
11.5
] | 0.8875 | [
0.009690584669794472,
1.0644495968180745,
-0.37734491307153717,
1.193186640419008,
1.9579187082258482,
1.4566571941238642,
-0.6535126455651429,
1.515482843275194,
0.000008576733867442173,
-0.04239820967421715,
0.6952275252522051,
-0.9506548249804723,
0.8765199536298071,
-0.3900921718370591... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 500 |
-2364041364570609263 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 5, 6, 8, 10, 11], [0, 1, 2, 7, 8, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 5, 6, 7, 10, 11], [1, 2, 3, 4, 6, 7, 9, 11], [0, 3, 4, 6, 7, 11], [0, 1, 3, 5, 7, 8, 9, 10, 11], [0, 2, 3, 5, 6, 8, 9, 11], [2, 4, 5, 6, 7, 8, 9, 10, 11]... | {"states": [4052, 4060], "expectation_value": -2.834041921428549, "params": [1.2867, 1.8546, 1.3253000000000001, 1.5593000000000001, 1.5732000000000002, 1.5641, 1.5709000000000002, 1.5675000000000001, 1.5674000000000001, 1.5677, 1.5691000000000002, 1.5688, 0.23750000000000002, 0.2379, 1.5701, 1.5658, 0.8682000000000001... | 0.12417027417027415 * (Z(0) @ Z(2)) + 0.1336940836940837 * (Z(3) @ Z(2)) + 0.12377344877344876 * (Z(3) @ Z(0)) + 0.11623376623376623 * (Z(4) @ Z(2)) + 0.10393217893217893 * (Z(4) @ Z(0)) + 0.11583694083694082 * (Z(4) @ Z(3)) + 0.13766233766233765 * (Z(5) @ Z(2)) + 0.1321067821067821 * (Z(5) @ Z(0)) + 0.1416305916305916... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.991883116883116], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.95021645021645, "smallest_bitstrings": ["000000100011"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.3794283000546679) q[0];
rz(-0.47947909659482746) q[0];
ry(1.2349582474979446) q[1];
ry(1.4090297435064583) q[2];
ry(1.709495548860284) q[3];
ry(1.6120907027831737) q[4];
ry(1.549673362228048) q[5];
ry(0.09874150137969283) q[6];
ry(1.6820727115076786) q[7];
ry(1.15... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIIZII",
"IIIIIIZIIIIZ",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIIZ",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIZIIIIIZII",
"IIIZIIIIIIIZ",
"IIIZIIIIZ... | [
0.12417027417027415,
0.1336940836940837,
0.12377344877344876,
0.11623376623376623,
0.10393217893217893,
0.11583694083694082,
0.13766233766233765,
0.1321067821067821,
0.1416305916305916,
0.09242424242424242,
0.12813852813852813,
0.13369408369408367,
0.1277417027417027,
0.1436147186147186,
... | 0.970682 | [
1.3794283000546679,
1.2349582474979446,
1.4090297435064583,
1.709495548860284,
1.6120907027831737,
1.549673362228048,
0.09874150137969283,
1.6820727115076786,
1.1517137722904833,
1.6516829200980137,
0.15681271249523882,
0.03242940297589625,
-0.9589581931896549,
1.001541420179555,
-0.0949... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -2.991883116883116,
"target_ratio": 0.97,
"target_value": -2.9021266233766227
} | 5 |
e0ade851c431314b420faf30ab55361c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [254, 127], "expectation_value": -4.890401561591801, "params": [[[0.0126, -0.004], [0.0009000000000000001, 0.048100000000000004], [0.003, 0.0025], [0.0007, 0.0018000000000000002], [0.001, -0.0013000000000000002], [-0.0021000000000000003, 0.0026000000000000003], [1.3927, 0.0001], [-0.48460000000000003, 0.0019... | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + -1.0 * Z(7) + 1.0 * Z(4) + -0.5 * Z(2) + 0.25... | 15 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10100000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.19637994446285023) q[0];
ry(0.004434294848134298) q[1];
ry(-0.1529448115883161) q[2];
ry(0.301627268796102) q[3];
ry(0.10999680651813609) q[4];
ry(-0.26260379773277104) q[5];
ry(1.1283519390608232) q[6];
ry(-0.21232730790856036) 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",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"IIIZIZII",
"IZIIZIII",
"IZIZIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.25,
-1,
-0.5,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1.5,
-0.25,
0,
-0.25,
0.25,
-1,
1,
-0.5,
0.25,
0.25
] | 0.97048 | [
0.19637994446285023,
0.004434294848134298,
-0.1529448115883161,
0.301627268796102,
0.10999680651813609,
-0.26260379773277104,
1.1283519390608232,
-0.21232730790856036,
0.03586905306606689,
0.052918349226921346,
0.06425495830263805,
-0.0252208040845944,
-0.06921812913884703,
0.0616679116071... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 62 |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [8, 4], "expectation_value": -0.466579845141173, "params": [[-0.14100000000000001, -0.12940000000000002, -0.1811], [0.1524, 0.1206, 0.1676]], "bitstrings": ["0111", "1011"], "total_optimization_steps": 20, "probabilities": [0.10047012980968131, 0.10047012980968134], "optimization_time": 1.9165654182434082} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"], "largest_eigenvalue": 2.3333333333333335} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"ZIIZ",
"ZIZI",
"IIZZ",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
0.16666666666666674,
0.16666666666666674,
-0.16666666666666666
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
4ab3a9f98a5ea141820b159d6cb4ba53 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, ... | {"states": [123, 1], "expectation_value": -2.5586370011659474, "params": [[0.0729, 0.08270000000000001, 0.0772], [-0.06670000000000001, -0.08420000000000001, -0.0785]], "bitstrings": ["10000100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.01292626289338662, 0.01664859250863524], "optimization_time... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.0013706428279065723) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.00010981936015503954) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0013706428279065723) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIIIZIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"IZIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIII... | [
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-0.75,
-0.25,
-1,
1.75,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
1.5,
-0.25,
-2,
0.25,
-0.5,
0.75,
0.25,
0
] | 0.888779 | [
-0.0013706428279065723,
-0.00010981936015503954,
-0.34349356379920065,
0.00130053351478626,
-0.04402465492122473,
0.3214620856398223,
-1.3872688537466278,
1.3541775381691896,
1.2769370230312556,
0.2943504933839812,
-1.6935386960659888,
-0.0012981114320172187,
-0.0032326859986172365,
-1.409... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 500 |
7254169215238567323 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [8, 3], [4, 5], [1, 4], [2, 5], [3, 6], [8, 1], [1, 2], [2, 3], [5, 6], [0, 5], [2, 6], [2, 4], [4, 7], [1, 3]]} | {"states": [277, 341], "expectation_value": -2.0326333652175563, "params": [0.9094000000000001, -0.0014, 0.9041, 0.0092, 0.8968, 0.0009000000000000001, 0.6771, 0.0078000000000000005, 0.9016000000000001, 0.0015, 0.8986000000000001, 0.0038, 0.8986000000000001, 0.001, 0.6868000000000001, 0.0026000000000000003, 0.904400000... | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["101010101", "010101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.1029375017709846) q[0];
rz(1.450543554355411) q[0];
rx(0.37518783285338) q[1];
rz(1.9239359551617516) q[1];
rx(2.574825563600292) q[2];
rz(1.8152779540204484) q[2];
rx(0.62669555186896) q[3];
rz(1.4517292677564075) q[3];
rx(1.5301709881935481) q[4];
rz(1.5068221067... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZZIIIIIII",
"ZIIIIZIII",
"IZIIZIIII",
"IIIZZIIII",
"ZIIIIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIZII",
"IIIZIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972153 | [
2.1029375017709846,
-0.12025277243948598,
0.37518783285338003,
0.35313962836685503,
2.574825563600292,
0.24448162722555256,
0.6266955518689599,
-0.11906705903848933,
1.5301709881935481,
-0.06397422004945155,
-0.14043161561669654,
0.21507167211230502,
1.6543218444673125,
0.05146266918280673... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 98 |
4973527a678849b98f57c7e36651dc7d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [638, 574], "expectation_value": -1.9184283916635605, "params": [0.5006, 0.4978, 0.0889, 0.08320000000000001, 0.3417, 0.3425, 0.34750000000000003, 0.3416, 0.5002, 0.5039, 0.49150000000000005, 0.4939, 0.49870000000000003, 0.504, 0.49570000000000003, 0.49620000000000003, 0.5036, 0.5059, -0.0024000000000000002,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001000101", "0101001001", "0110000101", "0110000011", "0111000001", "0101010001", "1101000001", "1000100101",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.8788272678966522) q[0];
rz(pi/2) q[0];
ry(-0.1334241194120591) q[1];
ry(0.011604251726391297) q[2];
ry(0.25142013658659446) q[3];
ry(0.7966340171037538) q[4];
ry(0.9791512702589679) q[5];
ry(0.407401027069806) q[6];
ry(0.4990764500234285) q[7];
ry(0.91240932417959... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIZIIZIZ",
"IIIZIIIZIZ",
"IIIZZIIIIZ",
"IIIZZIIZII",
"IIIZZIIZIZ",
"IIZIIIIIZI",
"IIIIZIZIII",
"IIZIIIZIII",
"IZIIIIZIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
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,
... | 0.972665 | [
0.8788272678966522,
-0.1334241194120591,
0.011604251726391297,
0.25142013658659446,
0.7966340171037538,
0.9791512702589679,
0.407401027069806,
0.4990764500234285,
0.9124093241795926,
0.01000725245064743,
0.5390097874767521,
0.3349754001153205,
0.09482307600885169,
0.08011815732247125,
-0... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 56 |
e0516bb518ee285d23a8010370ebd407 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [76, 108], "expectation_value": -0.1959464928890504, "params": [[0.0546], [-0.0478]], "bitstrings": ["0110011", "0010011"], "total_optimization_steps": 10, "probabilities": [0.008432118735049763, 0.008681682389836793], "optimization_time": 1.687668800354004} | 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(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(5) + -1.5 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04328000785297783) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.04328000785297783) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.04328000785297783) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(0.04328000785297... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIZIZII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-1.5,
-1.5,
-0.5,
-1,
-0.5
] | 0.980511 | [
0.04328000785297783,
-1.455649869643561,
1.4052522464945618,
-1.5874463397838816,
1.6147429593034577,
-1.4666268071066326
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 28 |
82f2332f741b5ec7aa4bb36843cd0c9a | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 41], "expectation_value": -4.499937480746297, "params": null, "bitstrings": ["001110", "010110"], "total_optimization_steps": 26, "probabilities": [1.635691870469763e-05, 0.9999687410148395], "optimization_time": 20.369145154953003} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9403241929083443) q[0];
rz(-pi) q[0];
ry(-0.01720215763442262) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3821290800872883) q[2];
cx q[2], q[1];
ry(0.0694860038996782) q[1];
cx q[2], q[1];
ry(0.05613383548624982) q[2];
ry(0.05850050848206348) q[1];
h q[3];
ry(-1.53601897824... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IZIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.996279 | [
-1.536018978243284,
-1.632424008860247,
-1.484108165260796,
1.351841337460216,
1.3821290800872883,
-0.1389720077993564,
-0.025202427947681655,
0.11226767097249964,
0.06281983496563942,
0.009137857048212211,
0.11700101696412696,
0.06302910739104162,
0.030614649874232056,
0.05044832124532061... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-2181444431195516262 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 4, 5, 7, 8, 10, 11], [0, 2, 3, 5, 8, 9, 11], [8, 0, 10, 1], [10, 2, 4, 6], [0, 2, 5, 6, 7, 8], [0, 2, 3, 7, 8, 10], [1, 2, 3, 5, 9, 10], [1, 3, 5, 8, 11], [8, 1, 2, 3], [0, 3, 4, 5, 7, 8, 9], [0, 1, 2, 5, 7, 11], [0, 3, 4, 5, 9, 10, 11], [1, 2, 4, 5, ... | {"states": [1531, 1471], "expectation_value": -2.3510617926874273, "params": [[0.34590000000000004], [-0.3679]], "bitstrings": ["101000000100", "101001000000"], "total_optimization_steps": 40, "probabilities": [0.001229241555121082, 0.001263696329735409], "optimization_time": 180.4925389289856} | 0.14047619047619048 * (Z(2) @ Z(4)) + 0.10476190476190475 * (Z(5) @ Z(4)) + 0.18095238095238092 * (Z(5) @ Z(2)) + 0.047619047619047616 * (Z(7) @ Z(4)) + 0.12380952380952381 * (Z(7) @ Z(2)) + 0.11428571428571427 * (Z(7) @ Z(5)) + 0.047619047619047616 * (Z(8) @ Z(4)) + 0.19761904761904758 * (Z(8) @ Z(2)) + 0.154761904761... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.364285714285714], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3476190476190473, "smallest_bitstrings": ["101001000000"], "largest_eigenvalue": 16.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.006603633375122088) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(-0.007543220108965967) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.004077289631629436) q[5];
cx q[2], q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIIIIIZIIZII",
"IIIIZIIZIIII",
"IIIIZIIIIZII",
"IIIIZIZIIIII",
"IIIZIIIZIIII",
"IIIZIIIIIZII",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IZIIIIIZIIII",
"IZIIIIIIIZII",
"IZIIIIZIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIZII",
"ZIIIIIZII... | [
0.14047619047619048,
0.10476190476190475,
0.18095238095238092,
0.047619047619047616,
0.12380952380952381,
0.11428571428571427,
0.047619047619047616,
0.19761904761904758,
0.15476190476190474,
0.11428571428571428,
0.16428571428571426,
0.20714285714285713,
0.11428571428571427,
0.0571428571428... | 0.944955 | [
0.006603633375122088,
-0.007543220108965967,
-0.004077289631629436,
-0.006833665194457813,
-0.0033597401413797737,
-0.003939521360514878,
0.0020637658935016194,
-0.007411772616869662,
0.0015074144196969993,
0.0035702725968762114,
0.00025656310971147473,
0.0006422849581235392,
0.0330941616932... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -3.364285714285714,
"target_ratio": 0.97,
"target_value": -3.263357142857142
} | 500 |
5570477335531933170 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 4], [0, 4], [1, 6], [0, 5]]} | {"states": [124, 120], "expectation_value": -0.25355701319836316, "params": [1.3962, -0.003, 1.4082000000000001, -0.0002, 1.3986, 0.0043, 1.4116, -0.398, 1.24, 0.09580000000000001, 0.9585, -0.26730000000000004, 0.7934, 0.0068000000000000005, 1.1984000000000001, 1.385, 1.0675000000000001, 0.5717, 1.1769, 0.8682000000000... | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(4) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) | 4 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0100110", "0000111"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.3819777343519677) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.3819777343519677) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.3819777343519677) q[3];
rx(-0.7895159883504582) q[3];
rz(0.3819777343519677) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZII",
"IIZZIII",
"IIZIZII",
"IIZIIIZ",
"ZIIIIZI",
"IZIIIIZ",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0
] | 0.674961 | [
0.3819777343519677,
1.1540456126670122,
-0.02073850596461356,
-0.7895159883504583
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 107 |
f4058862d2cc91e963663e2c69858d5f | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [21, 100], "expectation_value": -0.8844570747662577, "params": [[-0.076, -0.0753], [0.0712, 0.0743]], "bitstrings": ["1101010", "0011011"], "total_optimization_steps": 10, "probabilities": [0.011648593829234855, 0.012110262388443595], "optimization_time": 3.4096908569335938} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1011010", "0011011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.08155479116440284) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.08155479116440284) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08155479116440284) q[3];
cx q[2], q[3];
rz(0.6726318576019645) q[2];
rx(1.4395567190828875) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-0.5,
-1,
-1.5,
-0.5
] | 0.857675 | [
-0.08155479116440284,
0.6726318576019644,
1.3685732063111773,
-1.9248268523404324,
1.3279290926971614,
1.4395567190828875,
-0.8198366260050157,
1.279399435917915,
1.24312089196522,
3.1061045586653235,
1.9879305316842095,
0.3855996081973117
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 350 |
641201f67815f64266ad9829d1b30894 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": ... | {"states": [0, 7], "expectation_value": -33.44399358250721, "params": [0.0024000000000000002, 0.015000000000000001, -0.0028, 0.0, -0.0025, 0.0008, -0.0025, 0.0001, -0.0026000000000000003, 0.0111, -0.0024000000000000002, 0.0, -0.0026000000000000003, 0.9118, 0.1247, 0.0039000000000000003, 0.6153000000000001, 0.0032, -1.5... | -3.5 * (Z(0) @ Z(2)) + 1.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -4.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + -3.0 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -4.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(6)) + 1.0 ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["1111111000"], "largest_eigenvalue": 38.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.0587575285120579) q[0];
rz(1.5644266324188791) q[0];
rx(-0.016476237742443438) q[1];
rz(1.645624741256107) q[1];
rx(0.046317839458254614) q[2];
rz(1.5822442901919471) q[2];
rx(0.046317839458254614) q[3];
rz(1.5487738354887135) q[3];
rx(0.013108994511614444) 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[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIZIIZIII",
"IIIIIIZIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZIZIII"... | [
-3.5,
1.5,
-4,
0.5,
-3,
-3.5,
-2.5,
1,
-4,
0.5,
-3,
1.5,
-4,
1,
1,
1,
-3.5,
-2.5,
0.5,
0.5,
-1.5,
-1.5,
0.5,
1.5,
-2.5,
-3,
-2.5,
1,
-2.5,
1.5,
0.5,
0.5,
0.5
] | 0.971303 | [
0.0587575285120579,
-0.006369694376017296,
-0.016476237742443438,
0.07482841446121045,
0.04631783945825462,
0.011447963397050346,
-0.02202249130618294,
0.013108994511614444,
0.03349649476641922,
0.023098315508198096,
0.9667339095871051,
0.04866992400562495,
-0.17943513988683157,
0.58647483... | {
"n_parameters": 24,
"n_qubits": 10,
"optimal_eigenvalue": -35,
"target_ratio": 0.97,
"target_value": -33.949999999999996
} | 4 |
95afacefd1d05ffe5f924c1452decfea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 2, "source": 2, "target": 3}, {"weight": 18, "sourc... | {"states": [76, 77], "expectation_value": -28.69166843936683, "params": [[[0.0051, 0.1574], [0.274, -0.1681], [0.6036, -0.0007], [0.32430000000000003, 0.13], [-0.0129, -0.2833], [0.6071000000000001, -0.0002], [0.602, -0.0013000000000000002], [0.19160000000000002, -0.19460000000000002], [0.5942000000000001, 0.0023]], [[... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + -6.5 * Z(1) + -10.0 * Z(0) + -4.0 * Z(3) + -1.0 * Z(2) + -7.0 * Z(4) + 1.5 * Z(5) + -2.0 * Z(6) + -4... | 1 | 9 | 3 | {"smallest_eigenvalues": [-54.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "smallest_bitstrings": ["110110010"], "largest_eigenvalue": 89.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.1071927583950916) q[0];
ry(0.2978927012324312) q[0];
rz(1.4833522287571599) q[0];
rz(1.1847242383780223) q[1];
ry(0.19637233352893171) q[1];
rz(-1.6822137271814925) q[1];
rz(-1.5187454453068812) q[2];
ry(2.988141635304801) q[2];
rz(1.9284100231410068) q[2];
rz(1.6... | 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[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-6.5,
-10,
-4,
-1,
-7,
1.5,
-2,
-4,
-6
] | 0.972825 | [
0.07111796810185884,
0.2610986777410562,
-0.055769283360670927,
-0.12162554549588783,
1.2946822255352914,
-0.004553830919869384,
0.13878748844374772,
-0.022032720239005044,
-0.0686994376961513,
-0.37749702987901007,
0.9293095066415804,
-0.02558985522536228,
1.0971778559638004,
0.0659733199... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -54,
"target_ratio": 0.97,
"target_value": -52.379999999999995
} | 17 |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [35, 51], "expectation_value": -3.26810955183899, "params": [0.0001, -0.2863, 0.6066, -0.016800000000000002, 0.5631, 0.0081, 0.1976, 0.3487, -0.015300000000000001, 0.327, 0.5894, 0.1494, 0.6059, 0.0011, -0.0034000000000000002, -0.2868, 0.6008, -0.0816, 0.5584, 0.0511, 0.1953, 0.3805, -0.0182, 0.3334000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(3) | 3 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.03049018985054917) q[0];
rz(-0.652895808350848) q[0];
rx(1.0828600210922614) q[1];
rz(0.11898671126681482) q[1];
rx(0.9878975468726287) q[2];
rz(0.489093148051591) q[2];
rx(0.02089852220290524) q[3];
rz(0.5743749621607193) q[3];
rx(-0.12966988553380707) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IIZIIZI",
"IIIZZII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIIIZI",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-1.5,
0,
-0.5
] | 0.976671 | [
0.030490189850549174,
-0.6018924218358704,
1.0828600210922616,
0.0027489327041744227,
0.9878975468726285,
0.3026425215455413,
0.020898522202905244,
0.7501048123061079,
-0.1296698855338071,
-0.06885013052475858,
0.9457023206511923,
0.29780809922888296,
1.1966749650026702,
0.0110733309894557... | {
"n_parameters": 58,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [88, 112], "expectation_value": -0.16404261271517212, "params": [[-0.053000000000000005], [0.06760000000000001]], "bitstrings": ["0100111", "0001111"], "total_optimization_steps": 10, "probabilities": [0.00843718135775874, 0.00843718135775874], "optimization_time": 2.289997100830078} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(2) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001111", "0011110", "0111100", "0100111", "0101101", "0110110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1]... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"IZIZIII",
"IIZIZII",
"ZIIIZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1,
-1,
-1,
-0.5,
0
] | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
0af33a976ec1c381deaa423c18839faf | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [87, 71], "expectation_value": -2.2522238718950023, "params": [0.6035, 0.0022, 0.5032, -0.0482, 0.5224, -0.035, -0.0041, 0.3487, 0.6043000000000001, 0.114, 0.5406000000000001, -0.006, 0.5494, -0.0088, 0.6105, 0.0022, 0.5031, -0.048400000000000006, 0.5163, -0.0349, -0.0058000000000000005, 0.34650000000000003,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011", "0101010", "0111000", "0011001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.1500648092816264) q[0];
rz(0.2894420724217075) q[0];
rx(0.20193358382172744) q[1];
rz(0.131506413701854) q[1];
rx(-0.043996941354002436) q[2];
rz(-0.47817576853610433) q[2];
rx(-0.09506138493143208) q[3];
rz(0.3639995305407293) q[3];
rx(0.6948591663024991) 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": []} | [
"IIIZIIZ",
"IIIZIZI",
"ZIIZIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.97461 | [
1.1500648092816261,
0.12038576048415986,
0.2019335838217274,
-0.05291135389986372,
-0.043996941354002436,
-0.3383545190063643,
-0.09506138493143207,
0.32252158211896664,
0.694859166302499,
-0.2103278951039761,
1.0725501679329832,
0.1137455722352263,
1.1316616835343047,
-0.2302771968508166,... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 19 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.