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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
aaa0b19e64bf3c35281517d1fd2e9593 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -3.499144858283829, "params": null, "bitstrings": ["011000", "101000"], "total_optimization_steps": 28, "probabilities": [0.06552908063150316, 0.9338662614330172], "optimization_time": 16.49030113220215} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
0,
0,
0
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
199bc20adfdca6d6b6a06391ec8e4ac2 | 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": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [52, 75], "expectation_value": -0.10226652135645826, "params": [[0.0666], [-0.06810000000000001]], "bitstrings": ["1001011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.00874771959440925, 0.008891040305661731], "optimization_time": 1.2156128883361816} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4523877721739808) q[0];
cx q[2], q[0];
rz(-0.5386799338415806) q[0];
rx(1.0935187697481359) q[0];
h q[3];
cx q[2], q[3];
rz(-0.4523877721739808) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.4523877721739808) q[1];
cx q[3], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"ZIZIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.677103 | [
-0.4523877721739808,
1.116287236063286,
-0.5386799338415805,
0.23783543840422666,
1.093518769748136,
-1.0373413032551704,
0.8730239505219086,
0.5760838156648229,
0.5260612418381394
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [39, 55], "expectation_value": -5.380515496832225, "params": [0.003, -1.3266, -0.0019, -1.1723000000000001, -1.1988, -0.0164, 0.8424, -0.1408, 0.7108, -0.1923, 1.5681, 0.0028, 1.5752000000000002, -0.0026000000000000003, 1.5693000000000001, -0.0006000000000000001, 0.003, 0.0092, -0.0019, 0.01, -1.1988, 0.0087... | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "11001000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.023782534509358612) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.2362354194851212) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.2362354194851212) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.2362354194851212) 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": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZZIIIII",
"IZIIIIZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IZIIIII... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1.5,
-0.5,
0.5,
0,
2,
2,
-0.5,
-0.5
] | 0.690016 | [
0.023782534509358612,
-0.2362354194851212,
0.0030841673081000017,
-1.5267108229648716,
-1.5111620816372704,
-1.5332934594005045,
1.9304385541401896
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 207 |
cb3c7c022cb9712afc36cb282644505f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 93], "expectation_value": -2.600998366639743, "params": [[0.1232, 0.1506], [-0.11960000000000001, -0.1373]], "bitstrings": ["11111110", "10100010"], "total_optimization_steps": 20, "probabilities": [0.017856861380205098, 0.023216296494146665], "optimization_time": 3.8608558177948} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.05593693978555295) q[0];
h q[1];
ry(0.8325027637947161) q[1];
ry(-0.8447176576029565) q[2];
rz(-pi) q[2];
h q[3];
cx q[3], q[1];
ry(-0.8325027637947161) q[1];
cx q[3], q[1];
ry(1.423432331088275) q[3];
cx q[1], q[3];
ry(-1.423432331088275) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IZIIZIII",
"IIIIZIZI",
"IZZIIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIZIZII",
"IZIZIIII",
"IIIZIIZI",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-1.75,
0.5,
0.25,
0.25,
0.25,
1.5
] | 0.970999 | [
-1.5538160005865271,
0.1118738795711059,
1.332597151625219,
-0.7151947204322344,
1.6650055275894322,
1.4347340367888448,
0.6840029149260662,
2.84686466217655,
0.05568704231530569,
-0.6241530302607411,
-0.9067492641266692,
-0.07060525726786303,
-0.09520537964010672,
-0.3414856413179436,
0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 59 |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [173, 165], "expectation_value": -1.5427455164720025, "params": [0.5031, 0.5001, 0.0922, 0.0869, 0.4979, 0.5046, 0.0889, 0.0795, 0.2964, 0.2929, 0.5031, 0.506, 0.08510000000000001, 0.08700000000000001, 0.4975, 0.49670000000000003, 0.5043, 0.5064000000000001, 0.08320000000000001, 0.08510000000000001, 0.4974, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -0.25 * Z(... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100011", "10011010", "01110100", "01100101", "01100011", "11010100", "01011010", "01011100", "10010110", "10010011"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.04487692059288387) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.04487692059288387) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.04487692059288387) q[2];
cx q[0], q[2];
rz(-1.407887416700282) q[0];
rx(-1.579746504261589) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZIZIZ",
"IZZIIIII",
"IIZZIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZIZZIIII",
"ZIIIZIII",
"IZIIIIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
-0.5,
-0.25
] | 0.980299 | [
0.04487692059288387,
1.674742329328149,
-1.4078874167002817,
1.524449490178519,
1.4439077735402985,
1.3531238677988078,
-1.3904882206449123,
1.365368687689991,
-1.5824772102595346,
-1.579746504261589,
0.6397278070183063,
0.013864599543888398,
-1.8275840771615182,
1.1558042727426383,
0.12... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 48 |
271b6d26eb93ad56d6a083b79d80e520 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -13.311609226854388, "params": [[[-0.0011, 0.2079], [0.0026000000000000003, -0.0049], [0.046400000000000004, 0.0023], [0.0055000000000000005, 0.0028], [0.0029000000000000002, 0.002], [0.0012000000000000001, 0.0026000000000000003], [0.0077, 0.0022], [0.0012000000000000001, 0... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(9)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.15191565676028002) q[0];
ry(0.04542980111385571) q[1];
ry(0.08557358264015551) q[2];
ry(0.10483582964408855) q[3];
ry(-0.05057214950720967) q[4];
ry(0.1502346916491602) q[5];
ry(0.06928009491165575) q[6];
ry(-0.07153731801969232) q[7];
ry(-0.10250684560789317) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIZIIZIIII",
"IIIZIIIIIIZ",
"IIIZIZIIIII",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IIIIIIZZIII",
"IIIZIIIZIII",
"IIIIIIIZIZI",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIZIII",
"IIIIIIIIZ... | [
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-1,
-0.5,
-0.75,
-0.25,
-0.5,
-0.5,
1.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
0,
2,
-0.75,
0.5,
-0.5,
-1.2... | 0.970464 | [
-0.15191565676028002,
0.04542980111385571,
0.08557358264015551,
0.10483582964408855,
-0.05057214950720967,
0.1502346916491602,
0.06928009491165575,
-0.07153731801969232,
-0.10250684560789317,
2.3819421399165943,
-0.03007850111430911,
0.024962705529795588,
0.002420330519156619,
0.0290820303... | {
"n_parameters": 35,
"n_qubits": 11,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 51 |
c207a7b4cd3f0efb0fa44764eec6604a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 2, "target": 1}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 5, "so... | {"states": [6647, 6615], "expectation_value": -27.770285844510163, "params": [2.0992, 0.004, 2.1044, 0.0016, -0.0023, 0.0015, -0.0022, 0.007, 2.0991, 0.0043, 2.1072, 0.004, 2.1099, 0.0064, 1.5315, 0.0068000000000000005, 1.8905, 0.0098, 1.0779, 0.0077, 2.1072, 0.0068000000000000005, 2.0842, 0.0031000000000000003, 2.1060... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ ... | 16 | 13 | 1 | {"smallest_eigenvalues": [-45.33333333333333, -45.33333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -44.5, "smallest_bitstrings": ["0011000110000", "0011000101000"], "largest_eigenvalue": 156.66666666666669} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.03919900404802914) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.26038955357752364) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.12295043049294087) q[5];
cx q[0], q[5];
h q[6];
cx q[4], q[6];
rz(0.0080972549082... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIIZ",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIIIZIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIZIIIIIZIIII",
"IIZIIIIZIIIII",
"IIZIIIZIIIIII",
"IIZIIIIIIIZ... | [
0.5,
2,
1,
3,
1.5,
6,
1,
0.8333333333333334,
2,
3,
-0.5,
-1,
-1.5,
-0.5,
-1,
-1.5,
0.5,
-1,
-2,
-3,
1,
2,
-1,
-2,
-3,
1,
2,
4,
-1,
-2,
-3,
0.8333333333333334,
1,
2,
2,
0.5,
1,
1.5,
-0.5,
-0.5,
-1,
-1,
-1,
1,
2,
3,
-1,
-1,
... | 0.905976 | [
0.03919900404802914,
0.26038955357752364,
0.12295043049294087,
0.008097254908228992,
0.027479073566993174,
0.09066750514128945,
0.05034812036080168,
0.05893931162781403,
0.000643074169123192,
-0.0879529644722815,
-0.03821017457563514,
-0.1332070244658603,
0.19942511798644225,
1.05719982605... | {
"n_parameters": 60,
"n_qubits": 13,
"optimal_eigenvalue": -45.33333333333333,
"target_ratio": 0.97,
"target_value": -43.97333333333333
} | 500 |
2908819120690018760 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [2, 7], [2, 5], [4, 5], [1, 5], [0, 6], [0, 1], [3, 5]]} | {"states": [122, 133], "expectation_value": -0.08924500303755721, "params": [[0.0763], [-0.0746]], "bitstrings": ["10000101", "01111010"], "total_optimization_steps": 10, "probabilities": [0.004638189537898325, 0.004638189537898325], "optimization_time": 1.5098280906677246} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01111010", "10000101"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2198983641006973) q[0];
rz(-pi) q[1];
ry(-3.041984595230077) q[1];
h q[2];
ry(1.5819308349459638) q[2];
h q[3];
ry(0.6898434399508135) q[3];
h q[4];
h q[5];
ry(-0.2198983641006973) q[5];
cx q[4], q[5];
ry(0.2198983641006973) q[5];
cx q[4], q[5];
ry(-0.3959... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[7];
rz(x0) q[7];
cx q[2], q[7];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIZII",
"IIZIIZII",
"IIZZIIII",
"IIIIIIZZ",
"IIZIIIZI",
"IZIIIIIZ",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970935 | [
-0.4397967282013946,
1.5819308349459638,
-0.7919176947032767,
-1.4517508818482945,
1.528097884473279,
1.379686879901627,
-0.45277722742923343,
-0.3402060411665815,
0.17694710041729794,
0.17618901911136928,
0.3361921367681162,
0.053650913994883836,
-0.07878016405274368,
-0.08178015127637517... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 7 |
cfea5cfc148513139701223ce43ac47e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "... | {"states": [0, 4095], "expectation_value": -55.192808811690604, "params": [[[0.0031000000000000003, 1.6095000000000002], [0.0024000000000000002, 0.0017000000000000001], [0.0018000000000000002, 0.002], [0.0021000000000000003, 0.0022], [0.0019, 0.0022], [0.0025, 0.0022], [0.0021000000000000003, 0.0023], [-0.003, 0.002100... | -4.0 * (Z(0) @ Z(1)) + -3.5 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + 2.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(3)) + -4.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(5)) + 1... | 15 | 12 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 48.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.009159363871954304) q[0];
ry(-0.1485922234850957) q[1];
ry(-0.016621710670668477) q[2];
ry(0.004951343503803975) q[3];
ry(-0.016122997005798514) q[4];
ry(0.020534918861861408) q[5];
ry(0.004951343503803975) q[6];
ry(-0.12249482957441041) q[7];
ry(0.02053491886186... | OPENQASM 3.0;
include "stdgates.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[12] c;
qubit[12... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIZIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZ... | [
-4,
-3.5,
-3.5,
-4,
-3.5,
-3.5,
2,
-3.5,
-3.5,
-4,
1,
-3,
1,
-3.5,
1,
-3.5,
1,
1.5,
1.5,
-3.5,
-3,
1.5,
-3.5,
-4,
1.5,
0.5,
-3,
-2.5,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1,
0.5
] | 0.97519 | [
-0.009159363871954304,
-0.1485922234850957,
-0.016621710670668477,
0.004951343503803975,
-0.016122997005798514,
0.020534918861861408,
-0.12249482957441041,
-0.030536624771310226,
-0.05684875645632734,
0.024865162788972224,
2.4885637144145836,
0.03719320050046303,
-0.0615617765851938
] | {
"n_parameters": 13,
"n_qubits": 12,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 16 |
533fcd480a5175680493f52fe07173d6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [165, 37], "expectation_value": -13.999998064799607, "params": null, "bitstrings": ["01011010", "11011010"], "total_optimization_steps": 41, "probabilities": [2.0242065125026606e-07, 0.9999997139448797], "optimization_time": 42.79744529724121} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.24633714219781486) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.21817790403825055) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.21817790403825055) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.25,
-1.5,
-0.75,
-0.75,
-0.75,
-1.25,
2.25,
-0.25,
-1,
-2.25,
-0.25,
0.5,
-1.5,
-1,
3,
0.5,
1
] | 0.970078 | [
0.24633714219781486,
0.21817790403825055,
0.199992130079758,
0.1953546771601644,
-0.14097260777717124,
-0.07642561716032488,
0.30474345781691703,
0.6989900081918277,
0.16619846372059824,
-0.778933966788156,
-0.9833885279660904,
1.522204508836878,
0.4784825986818201,
0.33645844578145834,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 312 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -15.361953434616453, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 50, "probabilities": [0.10929342150093539, 0.6388706778346432], "optimization_time": 67.07741928100586} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-5.75,
-6,
-5.75,
-5.75,
-5.5,
-5.25
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
9e8a866d2c0011b6946d4c64e758f31c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 124], "expectation_value": -31.241436269645554, "params": [[-0.0397, 0.0039000000000000003, 0.0083], [0.0722, 0.0699, 0.0731]], "bitstrings": ["10000010", "10000011"], "total_optimization_steps": 10, "probabilities": [0.01618861252591872, 0.020244312841864027], "optimization_time": 7.541158437728882} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
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,
15.5,
12,
15.5,
16.5,
19.5,
16,
4.5,
3.5
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
-2751074007762763893 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6, 7], [3, 4, 5], [1, 2, 3, 4], [0, 1, 2, 3], [1, 2, 5, 7], [2, 3, 7], [1, 2, 3, 6], [0, 2, 3, 5], [0, 1, 5, 7]]} | {"states": [85, 87], "expectation_value": -2.15059778276758, "params": null, "bitstrings": ["10101010", "10101000"], "total_optimization_steps": 41, "probabilities": [0.026439086838298313, 0.926355835439028], "optimization_time": 69.5647463798523} | 0.25 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.166666666666666, "smallest_bitstrings": ["00100110", "10101000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.1511275146520605) q[0];
h q[1];
ry(1.4404326639327327) q[1];
h q[2];
ry(-0.3451439997739727) q[2];
h q[3];
ry(1.6190211829455492) q[3];
h q[4];
ry(-0.27120446334353593) q[4];
ry(-2.4111719919780534) q[5];
rz(-pi) q[5];
h q[6];
h q[7];
cx q[7], q[2];
ry(0.3... | 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(1.5668) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZZIII",
"IIZIZIII",
"IIZIIIIZ",
"ZIZIIIII",
"IIZZIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IZIIIZII",
"ZIIIIZII",
"IIIZIZII",
"IIZIIZI... | [
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
... | 0.989889 | [
1.6190211829455492,
1.4404326639327327,
-0.6902879995479454,
0.6333478880355871,
-0.6817392294667558,
0.5793166012385949,
-0.5821375062986818,
0.6494290202684997,
0.38189328982931464,
-0.5424089266870719,
0.22936352787688877,
-0.39403087464884134,
0.3452102873671339,
-0.302255029304121,
... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 1 |
8bd549bac35fc0555b3d70370196edc2 | 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": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [98, 226], "expectation_value": -3.9861700750806777, "params": [0.8014, -0.001, 0.8072, 0.0036000000000000003, 0.7989, 0.0033, -0.009600000000000001, 0.3986, -0.0161, 0.45470000000000005, -0.0083, 0.4893, 0.8105, 0.22410000000000002, 0.30060000000000003, 0.2303, 0.8036000000000001, 0.0055000000000000005, 0.8... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(7) + ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00011101"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.8571245143000064) q[0];
rz(1.676508198874762) q[0];
rx(1.9521514149616825) q[1];
rz(1.380126083574421) q[1];
rx(2.9435507719001053) q[2];
rz(1.1988471796077027) q[2];
rx(-0.07139443112339346) q[3];
rz(2.7692806276023845) q[3];
rx(0.1022121337601184) q[4];
rz(1.8393... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-0.5,
-0.5,
-1,
-1.5,
-0.5
] | 0.976155 | [
1.8571245143000066,
0.10571187207986577,
1.9521514149616825,
-0.19067024322047577,
2.9435507719001053,
-0.371949147187194,
-0.07139443112339346,
1.1984843008074864,
0.10221213376011841,
0.2685611879489381,
1.4376300058760987,
0.3284996036346511,
3.180106088194973,
0.07783409903696348,
-0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 21 |
1b2d3f76e03a42c535aedbc70a38da1e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5},... | {"states": [0, 2023], "expectation_value": -7.429978614106527, "params": [-0.48000000000000004, 0.2866, 0.7173, 0.0015, 0.6627000000000001, 1.8037, 0.4193, 0.0095, 0.7653000000000001, 1.778, 0.604, 0.0026000000000000003, 0.8138000000000001, 0.9623, -0.5557, 0.0032, 0.807, 0.8834000000000001, -0.3099, 0.0041, 0.8106, 0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "00000011000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-1.6873839150993761) q[0];
rz(1.6136803991421775) q[0];
rx(-0.07995011135752478) q[1];
rz(-2.6025210833364243) q[1];
rx(-3.102821861565972) q[2];
rz(0.943887552477201) q[2];
rx(0.2209932403275266) q[3];
rz(2.052808095262751) q[3];
rx(-0.17336024812092232) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.949408 | [
-1.6873839150993761,
0.042884072347281005,
-0.07995011135752479,
2.109867897048266,
3.1803634456136147,
-0.6269087743176958,
0.2209932403275266,
0.48201176846785454,
-0.17336024812092232,
0.309135997116356,
0.47153334022328053,
-0.02749333641775996,
-0.054072655085624345,
1.892512663546767... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
5a1527813da7c534130c872b3bb3e98c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [127, 109], "expectation_value": -1.4208130481409273, "params": [[-0.0689, -0.06810000000000001], [0.0737, 0.0682]], "bitstrings": ["10000000", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007839218265243812, 0.008259366575938908], "optimization_time": 3.1644070148468018} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"], "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(0.29304397876910926) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.02674098017791228) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.04175429471611432) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII"
] | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
1.25,
-1.25,
-1,
-0.5,
-1,
0,
-0.25,
-2.25,
1,
1,
0,
1.5,
-1
] | 0.971046 | [
0.29304397876910926,
0.02674098017791228,
-0.04175429471611432,
0.31653577106034975,
-0.7674656124835568,
0.11950634229219104,
-0.8301752525936286,
0.7774601513321433,
-0.3757443019400376,
-0.4588934753783208,
1.4706729354158479,
0.367692223145139,
0.11452940949680336,
-0.16572355263815042... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 167 |
44f2999396e93485f9b2b45d8a91217a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [83, 1], "expectation_value": -20.963923005261417, "params": null, "bitstrings": ["1110101100", "1111111110"], "total_optimization_steps": 63, "probabilities": [0.2376301591281879, 0.441099564596577], "optimization_time": 131.17346930503845} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(6) @ Z(4)) + 3.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(6)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15910970580688524) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0038582088346806554) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.0038582088346806554) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.03158128023667068) q[3];
cx q[... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.4894) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIZIII",
"IIIZIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZIIZIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII"... | [
-0.25,
-0.75,
-0.75,
-1,
-1.5,
-0.5,
-1,
-1,
-0.25,
-1.25,
3.5,
-1.25,
-0.75,
-0.25,
-1,
-1.25,
-3,
-0.25,
-1.25,
-1.5,
-1.5,
-0.75,
-1.5,
-0.25,
-2.5,
-0.25,
-0.5,
0,
0.5,
-1,
2.25,
-3.75,
2.75,
2.5
] | 0.595485 | [
-0.15910970580688524,
-0.0038582088346806554,
0.03158128023667068,
-0.000005081174784754178,
0.09765506338657767,
0.01309462482523011,
-0.004550848358642537,
0.00007930193667712565,
-1.5708643754234923,
1.5747197212317825,
-1.5694599004675893,
1.571276966721134,
-1.5706225631956332,
1.5715... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -28.25,
"target_ratio": 0.97,
"target_value": -27.4025
} | 389 |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [3, 507], "expectation_value": -5.486747374285732, "params": [-0.2117, 0.5291, 0.35500000000000004, 0.19970000000000002, -0.5701, 0.1499, 0.48910000000000003, 0.1537, 0.4904, 0.16770000000000002, -0.3119, 0.6328, 0.5143, 0.29300000000000004, -0.1423, 1.2694, 0.1242, 1.1860000000000002, 0.1593, 1.478300000000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 6 | 9 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.8172203096163698) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.8172203096163698) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.6794975297045968) q[1];
cx q[0], q[1];
rz(-0.6794975297045966) q[0];
rx(2.048574796605975) q[0];
rz(-0.67... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.583059 | [
-0.8172203096163698,
-0.6794975297045968,
-0.8500188890012612,
1.5707962886514641,
2.048574796605975
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 166 |
ced6c703f6fc42ad993c62457521a8a6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [3, 1], "expectation_value": -9.749974732289836, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 21, "probabilities": [1.2643738898933471e-05, 0.9999747325766285], "optimization_time": 16.608226776123047} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.019257244790662688) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7877168041877103) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.019257244790662688) q[2];
cx q[0], q[2];
rz(0.4711390611845201) q[2];
rx(1.6286054759878306) q[2];
h q[3];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
2,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0,
0,
-0.25,
1.75
] | 0.915875 | [
0.019257244790662688,
0.7877168041877103,
0.4711390611845201,
-0.07346987499868925,
0.8629803409167578,
-0.5184398952558648,
1.6286054759878306,
0.06686996022923065,
1.0861776397855343,
0.7850543096022358,
-0.14646282643499497,
-1.831074504387705,
1.075806303014285
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 298 |
fb80b58009d12f329fc6227153f1ac68 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [63, 47], "expectation_value": -25.54924597313359, "params": [1.3589, 0.0023, 1.3446, 0.0079, 0.7144, 0.0056, 2.0081, 0.004200000000000001, 1.4716, 0.0001, 2.0041, 0.0008, 1.9959, 0.0097, 2.0093, 0.0015, 1.9931, 0.0094, 0.0028, 0.0019, 0.006900000000000001, 0.0011, 0.0026000000000000003, 0.0097, 0.0064, 0.00... | 6.5 * (Z(0) @ Z(5)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(1) @ Z(6)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(0)) + 18.5 * Z(5) + 1.0 * Z(0) + 13.0 * Z(3) + -1.5 * Z(2) + 2.0 * Z(4) + 9.0 * Z(6) + 1.0 * Z(1) + 10.0 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["111010000"], "largest_eigenvalue": 123.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.48340378614914137) q[0];
rz(0.7964125023453086) q[0];
rx(0.07556177853890271) q[1];
rz(0.5397195205258317) q[1];
rx(-0.27129257032539383) q[2];
rz(0.43550911553862537) q[2];
rx(3.088199622807885) q[3];
rz(0.4900640627999042) q[3];
rx(-0.12280327171199762) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIIZZII",
"IIIZZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
18.5,
1,
13,
-1.5,
2,
9,
1,
10,
5.5
] | 0.975038 | [
0.4834037861491414,
0.2199369478155415,
0.07556177853890271,
0.5397195205258317,
-0.27129257032539383,
0.43550911553862537,
3.088199622807885,
0.4900640627999042,
-0.12280327171199762,
0.29562342547770265,
3.0951760461378663,
0.40879115222974705,
3.0040424861149235,
-0.2104269801013635,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 28 |
0e07c18cfcd6c70f78e81e85c4e65871 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -2.0199161786737436, "params": [1.0107000000000002, 0.9787, 0.332, 0.3433, -1.3344, -1.3305, 0.2417, 0.3342, 0.39180000000000004, 0.3985, -0.0019, -0.0082, -0.5639000000000001, -0.5608000000000001, 0.3738, 0.3672, -0.0524, 0.0921, 0.40640000000000004, 0.4081, -0.0188, -0.... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0006875000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0006875000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.0231249999999603], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999998973, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.01487499999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.3333977512894373) q[0];
rz(-0.20287997953682674) q[0];
ry(-0.012046891448386004) q[1];
ry(0.36631981526226054) q[2];
ry(0.08653986353661852) q[3];
ry(-0.9245865733777989) q[4];
ry(0.49402419930250463) q[5];
ry(1.0693059495624317) q[6];
ry(0.567976175927438) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.0008749999999999999,
-0.0006875000000000002,
-0.0008749999999999999,
-0.0006875000000000002,
0.25,
0.00012500000000000003,
-0.0010625,
0.0001875,
0.00012500000000000003,
-0.0010625,
0.0001875,
0.25,
0.000375,
0.00056250... | 0.971721 | [
0.3333977512894373,
-0.012046891448386004,
0.36631981526226054,
0.08653986353661852,
-0.9245865733777989,
0.49402419930250463,
1.0693059495624317,
0.567976175927438,
0.016190483336059408,
0.5350621404091239,
0.07368527201857436,
0.4798445075103098,
0.2681317290018621,
0.6069730084642713,
... | {
"n_parameters": 184,
"n_qubits": 16,
"optimal_eigenvalue": -2.0231249999999603,
"target_ratio": 0.97,
"target_value": -1.9624312499999614
} | 11 |
ab957251534d09507f870c3a6ef42154 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [1385, 1386], "expectation_value": -1.5074158967803413, "params": [0.0012000000000000001, -0.0014, 0.3885, 0.391, -0.025500000000000002, 0.0056, 0.3876, 0.3921, -0.0135, -0.0068000000000000005, 0.388, 0.3916, 0.3965, 0.39630000000000004, -0.0038, 0.002, 0.3931, 0.3906, 0.0166, -0.0207, -0.5976, -0.5557, 0.36... | 0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6)... | 13 | 12 | 4 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["010101101010", "011010100101", "101010010101", "100101011010"], "largest_eigenvalue": 1.52291666666666... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
0.00034722222222222224,
0.00034722222222222224,
0.25,
-0.0010416666666666667,
-0.0015625,
-0.0010416666666666667,
-0.0015625,
0.25,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.25,
... | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
4973527a678849b98f57c7e36651dc7d | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [41, 97], "expectation_value": -4.496398064640455, "params": null, "bitstrings": ["1010110", "0011110"], "total_optimization_steps": 25, "probabilities": [0.06635227036942623, 0.9303267404400778], "optimization_time": 16.736119985580444} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0011110", "1100110", "1010110"], "largest_eigenvalue": 11.5} | 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... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
-1.5,
-1.5,
0
] | 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 |
bb78aafd3760534f3907e4f69dd6636f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [0, 2047], "expectation_value": -13.333744953199833, "params": [[[0.003, -0.5415], [0.0023, -0.0039000000000000003], [0.0021000000000000003, 0.0021000000000000003], [0.0024000000000000002, 0.0022], [0.0019, 0.002], [0.0019, 0.0022], [0.0021000000000000003, 0.0022], [0.0019, 0.0025], [0.0025, 0.0025], [0.0028... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(10)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(11) @ Z(1)) + -0.25 * (Z(11) @ Z(10)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(10)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(11)) + -0.... | 15 | 12 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.4039418545305201) q[0];
ry(0.17171995756921088) q[1];
ry(0.020867470426914864) q[2];
ry(0.004964469121684292) q[3];
ry(0.02548658170073107) q[4];
ry(0.026019479781423) q[5];
ry(0.0009254070972236268) q[6];
ry(-0.03349558598214186) q[7];
ry(0.026019479781423) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IIIIIZIIIIZI",
"IZIIIZIIIIII",
"IIIIZIIIIIZI",
"ZIIIIIIIIIZI",
"ZZIIIIIIIIII",
"IIIIIIIIIZZI",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"ZIIIIIIIIZII",
"IIIIIIIZIIZI",
"IIIIIZIZIIII",
"IZIZIIIIIIII",
"IIIZIZIIIIII",
"IIIZZIIII... | [
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
... | 0.973582 | [
0.4039418545305201,
0.17171995756921088,
0.020867470426914864,
0.004964469121684292,
0.02548658170073107,
0.026019479781423,
0.0009254070972236268,
-0.03349558598214186,
-0.014958136742279762,
-0.8256794975014188,
-0.005810749587001762,
-0.5347689507992558,
-0.15419949337583663,
-0.0092277... | {
"n_parameters": 61,
"n_qubits": 12,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 74 |
6440352897ae715b0d3a7f54566e1380 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 18, "source": 0, "target": 2}, {"weight": 7, "source": 2, "target": 3}, {"... | {"states": [126, 110], "expectation_value": -60.392240494271135, "params": [0.14930000000000002, -0.6941, 1.5823, 0.0028, 1.5822, 0.10450000000000001, 0.7894, 0.3653, 1.5849, 0.002, 1.5798, -0.0032, 1.5923, 0.2126, 0.5583, 0.461, 0.15130000000000002, 0.0038, 1.5848, 0.0088, 1.5788, 0.0009000000000000001, 0.7833, 0.0055... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.055697659287722925) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.055697659287722925) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.055697659287722925) q[2];
cx q[0], q[2];
rz(-0.4694826043279816) q[0];
rx(-0.3162701581341799) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17,
1,
16,
11.5,
10,
15.5,
7.5,
6
] | 0.970284 | [
-0.055697659287722925,
1.4547062001441282,
-0.46948260432798206,
1.3468945306892246,
-0.5579546998846485,
0.5519492686607871,
1.2072642378373164,
0.930898757947097,
-1.9298838529419649,
-0.3162701581341799,
0.09238996835585006,
0.3640056703940024,
-1.3794870854305046,
0.4012223804866644,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 49 |
aafba232bddbab68741369c28fd60f9f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [3, 11], "expectation_value": -8.266513510635944, "params": [0.0022, 0.6289, 0.0037, 0.6202000000000001, -0.4011, 0.0123, 0.0025, 0.6451, 0.7865000000000001, 0.0621, 0.791, 0.066, 0.0045000000000000005, 0.6368, 0.00030000000000000003, 0.6291, -0.40340000000000004, -0.015000000000000001, 0.0043, 0.7093, 0.793... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 18 | 6 | 4 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.6059711361663426) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.002835582251174708) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.6059711361663426) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.01656... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIZ",
"ZZIIII",
"ZIIIIZ",
"IZIIZI",
"IIIIZZ",
"ZIIIZI",
"IZIZII",
"IIIZIZ",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IIZIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
2,
1,
0.5,
0.25,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
1,
2.5,
0.5,
5,
0.5,
-1,
-2
] | 0.927765 | [
-0.6059711361663426,
0.002835582251174708,
-0.005892897267408092,
1.9673946829852578,
-0.016569426499993246,
0.0007364663076169241,
-1.7704792450087574,
-1.8455644619428733,
0.2451053747201248,
-1.3001258169311252,
-1.066059710326319,
0.0004593878512842986,
-0.01598779461431634,
1.89697250... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 500 |
b6a304d520c14d5694a43ad2063dd94f | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [3, 15], "expectation_value": -5.272963515324031, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 35, "probabilities": [0.08774728748655428, 0.7910100498552921], "optimization_time": 23.739631414413452} | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13743803027777515) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.5694632513900186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.13743803027777515) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.06719014077107104) q[4];
cx ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.57) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-0.5,
-2,
-0.5,
-0.25,
1.25,
-0.25,
-1.25,
-1.25,
0,
-0.25,
0.25,
-0.25,
0.25
] | 0.961404 | [
-0.13743803027777515,
-1.5694632513900186,
0.06719014077107104,
1.6592611721423123,
-0.07731326115708588,
-0.2931724668302063,
1.5177320101520593,
-1.3559685672286401,
-0.03723627267261057,
-1.2295121221910628,
-0.2434190042084019,
1.251513234547198,
-1.643211273080767,
-0.2196509142089397... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 500 |
fa1aa02644db6485d126884facd8fbe5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [16, 24], "expectation_value": -3.5468130738489383, "params": [[[-0.0021000000000000003, 0.5217, 0.0034000000000000002, 0.00030000000000000003], [0.091, -0.20650000000000002, 0.0913, 0.0039000000000000003], [0.8339000000000001, -0.0032, 0.0054, 0.0022], [-0.0029000000000000002, 0.6709, -0.0006000000000000001... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2) @ Z(3)) + -0.75 * Z(0) + 0.0 * Z(2) + -0.25 * Z(1) + -0.75 * Z(3) + -1.0 * Z(4) + -0.75 * Z(5) | 12 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0074207548089881) q[0];
cx q[2], q[0];
rz(-1.62559946447614) q[2];
rx(1.5247430591609956) q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.0074207548089881) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(-0.0074207548089881) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IZIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.75,
0,
-0.25,
-0.75,
-1,
-0.75
] | 0.972476 | [
-0.0074207548089881,
-1.62559946447614,
1.6942216147964604,
1.1633760167161522,
1.5247430591609958,
0.061183352847591965,
0.7500638384568105,
0.2284438797758424,
0.09388118757753881
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 24 |
255f1dd604659bd35e94474fe8f5241d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 47], "expectation_value": -2.188757992842863, "params": [[0.06960000000000001, 0.054, 0.0587], [-0.0795, -0.0562, -0.0495]], "bitstrings": ["1111100", "1010000"], "total_optimization_steps": 10, "probabilities": [0.019222982513330107, 0.01945568013263223], "optimization_time": 4.166874647140503} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.37039925737107354) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.47479670208545194) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.002453439771768364) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.002453439771768364) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.75,
-0.25,
-1,
-1,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-1,
-0.75,
-0.25,
-0.25,
-1.75,
1,
-0.75,
1.5,
0.5
] | 0.901268 | [
-0.37039925737107354,
-0.47479670208545194,
0.002453439771768364,
0.007173938359176996,
0.28639303714208847,
-0.6771793472255276,
-0.758238898919597,
0.5277113036131329,
0.6196216232026848,
-1.587300313731966,
-0.5518085417301448,
-0.6707094486127311,
-0.0018169790026760502,
-0.12952360862... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
887595949ae6925e33a681a58519a274 | 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": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [14650, 15674], "expectation_value": -45.53083256343474, "params": [1.0602, 0.0081, 1.0602, 0.0039000000000000003, 3.1447000000000003, 0.0034000000000000002, 3.1447000000000003, 0.0037, 3.1445000000000003, 0.0014, -1.6340000000000001, 0.0047, -0.0031000000000000003, 0.005200000000000001, 3.1445000000000003, ... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(8)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -1.... | 18 | 16 | 1 | {"smallest_eigenvalues": [-48.74999999999992], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.74999999999929, "smallest_bitstrings": ["1100001011000101"], "largest_eigenvalue": 170.25000000000026} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.13984682369290952) q[0];
rz(1.5938811126123158) q[0];
ry(0.7610427262618326) q[1];
rz(0.07031768406246493) q[1];
cz q[1], q[0];
ry(0.3140276442107706) q[0];
rz(0.7636300721559677) q[0];
ry(-1.0156869910184512) q[1];
ry(0.4264636834722848) q[2];
rz(0.0552000000090... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIIZIZII",
"IIIIIIIZIIIIZIII",
"IIIIIIIZIIIIIZII",
"IIIIIIIZIIIZIIII",
"IIIIIIIZIIZIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIZIIIIIZIII",
"IIIIIIZIIIIIIZII",
"IIIIIIZIIIIZIIII",
"IIIIIIZZIIIIIIII",
"IIIIIIZIIIZIIIII",
"IIIIIIZ... | [
2,
2,
1,
-1,
-0.5,
-0.5,
-0.5,
-1,
2,
-1,
-0.5,
-0.5,
1,
-0.5,
-1,
-0.5,
0.5,
1,
-0.5,
1,
0.5,
0.5,
-0.5,
-0.5,
1,
0.5,
0.5,
-0.5,
-0.5,
0.25,
1,
0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
0.5,
0.5,
2,
1,
1,
-1,
-1,
-2,
-1,
1,
1,
2... | 0.973359 | [
-0.13984682369290952,
1.5938811126123158,
0.7610427262618326,
0.07031768406246493,
0.4264636834722848,
0.05520000000902982,
0.7598598941311168,
-0.005774750135631135,
0.5747719579600107,
0.05223522100477087,
-0.036998059032669756,
1.8760773287378025,
0.023285197553815994,
0.457270073551858... | {
"n_parameters": 126,
"n_qubits": 16,
"optimal_eigenvalue": -48.74999999999992,
"target_ratio": 0.97,
"target_value": -47.28749999999992
} | 20 |
8c44c442a25e00dfae4e1647b2faf79f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 6], "expectation_value": -2.4741067800343983, "params": null, "bitstrings": ["11010", "11001"], "total_optimization_steps": 15, "probabilities": [0.07397901535883082, 0.900574512415704], "optimization_time": 6.587159633636475} | 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(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "11001", "10110", "01101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIIZ",
"IZIZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
98ab21712d796c7a757c115b4e309c5e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [359, 327], "expectation_value": -71.52160137877515, "params": [0.9924000000000001, 0.0366, 0.0031000000000000003, 0.6206, 0.9932000000000001, 0.167, 0.49210000000000004, 0.3079, 0.0036000000000000003, -0.6122000000000001, 0.3657, 0.3972, 0.9868, 0.048, 0.9859, -0.0018000000000000002, 0.9955, -0.0023, 1.0019... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(4) @ Z(8)) + 16.0 * Z(0) + -5.0 * Z(1) + 12.0 * Z(2) + 10.5 * Z(3) + 12.0 * Z(6) + 7.5 * Z(5) + 10.0 * Z(7) + 3.5... | 18 | 9 | 3 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.9063076202925343) q[0];
rz(0.13842141943270647) q[0];
rx(0.030886910540950864) q[1];
rz(0.5015345073047999) q[1];
rx(1.0828185062512639) q[2];
rz(0.01704800211677343) q[2];
rx(0.14657078291308753) q[3];
rz(0.34723603174380885) q[3];
rx(0.009452334074742483) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIZIIZIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIZIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIZIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
16,
-5,
12,
10.5,
12,
7.5,
10,
3.5,
-5
] | 0.975676 | [
0.9063076202925345,
0.06609789654854564,
0.030886910540950864,
0.5015345073047999,
1.0828185062512639,
0.01704800211677343,
0.14657078291308753,
0.34723603174380885,
0.009452334074742483,
-0.7097814442929815,
0.17514856018517333,
0.45442979833841146,
0.9905436955579441,
0.01731436989595382... | {
"n_parameters": 78,
"n_qubits": 9,
"optimal_eigenvalue": -84.5,
"target_ratio": 0.97,
"target_value": -81.965
} | 10 |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | vqe | {"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": -0.9999722073305906, "params": [-0.0015, 0.0852, -0.0048000000000000004, 0.0826, -0.0006000000000000001, 0.0891, -0.0006000000000000001, 0.0039000000000000003, 0.008400000000000001, 0.0034000000000000002], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities":... | -1.0 * Z(0) | 8 | 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;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[1] c;
qubit[1] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[0];
rz(x3) q[0];
rx(x4) q[0];
rz(x5) q[0];
rx(x4) q[0];
rz(x6) q[0];
c[0] = measure q... | {"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 |
e60ca187b2aa1b0a553cfc8d9bd214a9 | 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": 19, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 7, "sourc... | {"states": [469, 213], "expectation_value": -71.70517182306011, "params": [0.1746, -0.09380000000000001, 0.1728, -0.0989, 0.3936, 0.0621, 0.38830000000000003, 0.021400000000000002, 0.389, 0.0307, 0.398, 0.00030000000000000003, 0.14650000000000002, -0.08600000000000001, 0.1471, -0.0918, 0.3956, 0.0436, 0.389800000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 5.0 * Z(0) + 14.5 * Z(2) + 3.5 * Z(3) + 15... | 5 | 9 | 4 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101010"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.16038714796442316) q[0];
rz(0.02355453730551904) q[0];
rx(0.43668721670554167) q[1];
rz(0.6172921246827068) q[1];
rx(0.19805091246880274) q[2];
rz(0.10028685045396468) q[2];
rx(0.17084589601399763) q[3];
rz(-0.16703159256223454) q[3];
rx(0.6901317977132464) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
14.5,
5,
14.5,
3.5,
15.5,
1.5,
15,
1.5,
11
] | 0.972759 | [
0.16038714796442316,
-0.30946295015307984,
0.43668721670554167,
0.5690303591610111,
0.19805091246880271,
0.054728625275187556,
0.17084589601399763,
-0.2677595627419619,
0.6901317977132464,
-0.3563652541448912,
0.008826431849045966,
0.4581965679696957,
0.7619224648046931,
0.2391292150172267... | {
"n_parameters": 169,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 89 |
e0b9c24fb45ae4a4b516382818d3356a | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [1016, 888], "expectation_value": -14.555837175457855, "params": null, "bitstrings": ["0000000111", "0010000111"], "total_optimization_steps": 100, "probabilities": [0.15460317176676242, 0.4273274262766204], "optimization_time": 154.7512183189392} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + -2.5 * (Z(2) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0010000111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.5987397247527203) q[0];
rz(1.5565654866125067) q[0];
rx(1.3414863476265921) q[1];
rz(2.5228131811269066) q[1];
rx(-0.07282720449465764) q[2];
rz(2.321246976446698) q[2];
rx(1.0142480694764038) q[3];
rz(2.7706556272319256) q[3];
rx(0.30758239959314104) q[4];
rz(2.1... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIZII"... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2.5,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-2,
-1.5,
-1.5
] | 0.966147 | [
0.5987397247527204,
-0.01423084018238982,
1.341486347626592,
0.9520168543320097,
-0.07282720449465765,
0.7504506496518019,
1.0142480694764036,
1.1998593004370293,
0.30758239959314104,
0.6038592587708639,
1.4201961472795583,
1.5295534632059757,
0.41169821835850856,
0.5074645511839991,
0.1... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 500 |
1b146c0365a13411191347bfcee6d38e | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [67, 94], "expectation_value": -0.10436373919888553, "params": [[0.0626], [-0.0516]], "bitstrings": ["0111100", "0100001"], "total_optimization_steps": 10, "probabilities": [0.008370722943424634, 0.008578006601553818], "optimization_time": 1.06937837600708} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.01896298951164331) q[0];
ry(1.4671335465655022) q[1];
ry(0.0443902706272271) q[2];
ry(1.651545018621358) q[3];
ry(0.17939320521132673) q[4];
ry(0.01896298951164331) q[5];
ry(0.12476640194723929) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-0.5,
0,
-1.5,
0,
0
] | 0.970543 | [
0.01896298951164331,
1.4671335465655022,
0.0443902706272271,
1.651545018621358,
0.17939320521132673,
0.12476640194723929,
1.6764095617710113,
1.1673098756081428,
0.4517425252645204,
-0.1261575337349709,
-0.24637722337136964
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 12 |
354c47a62380c32918d9e60e32b5d7f3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [473, 345], "expectation_value": -57.049514517565896, "params": [1.1988, 0.3175, 0.8227, 0.41600000000000004, 1.1972, 0.1553, 0.5839, 0.5411, 1.1948, 0.24200000000000002, 1.192, -0.0018000000000000002, 0.0025, 0.898, -0.0018000000000000002, 0.802, 1.2003000000000001, -0.001, 1.1976, 0.0047, 0.834900000000000... | 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(7) @ Z(8)) + 5.0 * Z(1) + 21.5 * Z(2) + 9.5 * Z(0) + 17.5 * Z(5) + 6.5 * Z(4) + 2.0 * Z(3) + 16.0 * Z(8) + -4.0 *... | 18 | 9 | 2 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["010100110"], "largest_eigenvalue": 143.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.27119398812763) q[0];
rz(0.3956135230767899) q[0];
rx(-0.04861296466392534) q[1];
rz(0.9490736155723147) q[1];
rx(1.185515545859089) q[2];
rz(0.1435367650967611) q[2];
rx(0.10308112403886086) q[3];
rz(1.1139481916400498) q[3];
rx(1.8066414658692302) q[4];
rz(-0.084... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIZIIII",
"IIIIIZIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
5,
21.5,
9.5,
17.5,
6.5,
2,
16,
-4,
-9
] | 0.980241 | [
1.27119398812763,
0.4165327153359061,
-0.04861296466392534,
0.9490736155723147,
1.185515545859089,
0.1435367650967611,
0.10308112403886086,
1.1139481916400498,
1.8066414658692302,
-0.08494875356956794,
1.534467489330608,
-0.003831447641547737,
-0.14382549525269367,
0.7641554579660873,
1.... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -77,
"target_ratio": 0.97,
"target_value": -74.69
} | 22 |
6240facbcac03ac60847995c8221b912 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [256, 255], "expectation_value": -0.5244543658197413, "params": [[0.0777], [-0.0825]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0027235434050308176, 0.002828662681019228], "optimization_time": 6.603002548217773} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0046977098774302496) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.012269863936092744) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.01562822642382422) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.013100666109334625... | 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];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIIIZIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIZZIIII",
"ZIIIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
-0.5,
-1,
-0.25,
-0.75,
-0.25,
-0.75,
1,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.25,
0.5,
-0.25,
-2.5,
0.5,
0.25,
-0.25,
0.5,
0,
1.25
] | 0.97208 | [
-0.0046977098774302496,
0.012269863936092744,
0.01562822642382422,
0.013100666109334625,
0.5369349309225615,
1.6360153546291618,
1.5825548729034598,
1.6537585943579427,
2.153860546154924,
1.4736137931055673,
-1.538693100576994,
1.3642954316225193,
0.016598763102727992,
-0.5286694379827523,... | {
"n_parameters": 31,
"n_qubits": 9,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 369 |
fa5ac40f7633e062ace3acdae8758a5b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target":... | {"states": [168, 936], "expectation_value": -14.631882584767713, "params": [-0.0035, -0.001, -0.2343, -0.2788, -0.033, 0.0485, -0.0054, 0.0056, -0.0018000000000000002, -0.00030000000000000003, 0.2622, 0.3415, 0.0038, 0.0035, 0.3297, 0.33490000000000003, -0.0016, -0.0047, -0.006900000000000001, 0.0009000000000000001, -0... | -0.75 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(9)) + -0.25 * (Z(2) @ Z(6)) + 2.25 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(8)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(10)) + -1.25 * (Z(4) @ Z(9)) + -1.0 * (Z(4)... | 14 | 11 | 4 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -15.0, "smallest_bitstrings": ["10011010111", "10011010101", "10001010111", "10001010101"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.12459999847776491) q[0];
rz(0.08664866486789861) q[0];
ry(0.2483065671451601) q[1];
rz(0.7339868136494383) q[1];
cx q[1], q[0];
ry(-0.016845019714259682) q[0];
rz(1.2321029613106638) q[0];
ry(-0.024672683947620094) q[1];
rz(0.3782224834942546) q[1];
ry(-0.03426066... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"ZIIIIIIIIIZ",
"IZIIIIIIIZI",
"IIIIZIIIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IIZIIIZIIII",
"ZIIIIIZIIII",
"IZIIIIZIIII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"ZIIZIIIIIII",
"IIIZIIIII... | [
-0.75,
-0.25,
-0.25,
-1,
-0.5,
-0.25,
2.25,
-1,
-0.5,
-0.25,
-1.25,
-1,
-1.25,
-1,
-1.25,
-1,
-1,
-1,
-0.75,
-1,
-0.75,
-0.25,
0.5,
-2,
0.75,
-0.25,
0,
2,
-3.75,
1,
2.75
] | 0.973883 | [
0.12459999847776491,
0.08664866486789861,
0.2483065671451601,
0.7339868136494383,
-0.03426066711475769,
2.6612039985710574,
0.0445064479186902,
-0.3226637269882751,
0.21850479158559288,
1.078593869455186,
2.5545128214522794,
-0.634362650649622,
0.06972862455409962,
2.263952469277082,
-1.... | {
"n_parameters": 71,
"n_qubits": 11,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 63 |
836c884d7f0cabd4f561d6ff6961863c | 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": 6}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 4, "source": 1, ... | {"states": [125, 127], "expectation_value": -1.0090021923732442, "params": [[0.0235, 0.0132, 0.052000000000000005, -0.0623], [-0.031200000000000002, -0.012400000000000001, -0.049, 0.0077]], "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006140320204488212, 0.0061950176598934... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["10000000", "10000010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.0007449686660264999) q[0];
ry(0.09606353606685049) q[1];
ry(0.0006507474146606532) q[2];
ry(-0.021672324536409323) q[3];
ry(0.02495703531247307) q[4];
ry(-0.009483672816795088) q[5];
ry(0.10199381422246338) q[6];
ry(0.09246377246176307) q[7];
cx q[7], q[0];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IIIIZIZI",
"IZIZIIII",
"IIIZZIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIZII",
"IZZIIIII",
"IIZZIIII",
"IIZIIZII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-0.5,
-0.75,
-0.5,
-1,
-1.75,
0.75,
-1,
-1.25,
-1.5,
-1.25,
-1.25,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
0.25,
0,
-0.5,
-2.75,
2,
2
] | 0.973359 | [
0.0007449686660264999,
0.09606353606685049,
0.0006507474146606532,
-0.021672324536409323,
0.02495703531247307,
-0.009483672816795088,
0.10199381422246338,
0.09246377246176307,
0.9196006079285015,
-0.18722588087365208,
0.03610809075229482,
-0.032238460983527326,
0.05443916473844061,
0.08398... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 16 |
d73d59d8534bb2db64056b6b376ab049 | 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": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -6.37090997639858, "params": [[[0.0005, 0.6298], [0.0028, -0.001], [0.0025, 0.0021000000000000003], [0.0024000000000000002, 0.002], [0.0021000000000000003, 0.0025], [0.0028, 0.0025], [0.0068000000000000005, -0.3375], [1.5425, -0.0017000000000000001]], [[-0.3417, -1.597500000000... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 15 | 8 | 2 | {"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(0.005064912194396915) q[0];
h q[1];
h q[2];
ry(0.9589973018286959) q[2];
h q[3];
ry(0.7378068905099483) q[3];
h q[4];
ry(0.7863653826074786) q[4];
cx q[1], q[4];
ry(-0.7863653826074786) q[4];
cx q[1], q[4];
ry(0.615145956876229) q[1];
cx q[4], q[1];
ry(-0.615... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIZZIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-1,
-0.5,
-1,
-0.25,
-0.5,
1,
-0.5,
-0.25,
-0.25,
0,
0.25,
0.5,
0,
-0.25,
0
] | 0.964081 | [
1.5727307652149571,
1.230291913752458,
1.37517991160965,
0.01012982438879383,
1.1582819451599344,
1.4756137810198966,
1.9179946036573918,
0.08411732952884575,
-1.5908435587309175,
0.32570684555070145,
-1.2157163442926513,
0.9603941445078414,
-0.34705473550456495,
-0.11276548911115365,
1.... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
ceada473950316c985fdaa58a8618609 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [88, 92], "expectation_value": -1.9397179934148394, "params": [0.004200000000000001, 0.3426, 0.6021000000000001, 0.010400000000000001, 0.38880000000000003, -0.0882, 0.6071000000000001, -0.015300000000000001, 0.6047, -0.002, 0.5981000000000001, 0.0039000000000000003, 0.008700000000000001, -0.1184, 0.1527, 0.2... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["10100011"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.018928191739904274) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.018928191739904274) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.018928191739904274) q[2];
cx q[0], q[2];
rz(0.14657733939079343) q[0];
rx(0.3533677365058779) q[0];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIZZZZI",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIZIIIZZ",
"IZIIIIZZ",
"IZZIIIIZ",
"IZZIIIZI",
"IZZIIIZZ",
"IIZIIZI... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
-0.625,
0.25,
-0.125,
-0.125,
-0.125,
-0.125,
-0.625,
-0.5
] | 0.971601 | [
0.018928191739904274,
-1.2296849783401864,
0.14657733939079362,
-1.2247777007286582,
-0.06013279515597353,
-2.0386095780878914,
-1.6431671013193643,
0.6421356284179992,
-1.8359197421625808,
0.3533677365058779,
-0.05358507740007074,
-0.44427693109859534,
1.4350546521930594,
-0.6327842321609... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 68 |
3179afe1dc957b5c6c41286c03203dc8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [84, 22], "expectation_value": -3.989065418603672, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 28, "probabilities": [0.06023650841909519, 0.8645372942717928], "optimization_time": 18.820035934448242} | 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 | 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": ["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... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"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 |
5c8d577142051cc6578aa40532e6b2ab | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [416, 163], "expectation_value": -8.298144705025315, "params": null, "bitstrings": ["001011111", "101011100"], "total_optimization_steps": 66, "probabilities": [0.09194771836542422, 0.7579632659312541], "optimization_time": 94.8865795135498} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["101011100"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.022477326203741932) q[0];
rz(1.1361113631498974) q[0];
rx(1.5839875237065586) q[1];
rz(1.6423285526922164) q[1];
rx(-0.02247732620374193) q[2];
rz(2.9622352226993875) q[2];
rx(1.1173586352177383) q[3];
rz(1.7703358054199603) q[3];
rx(-0.03532431068703414) q[4];
rz... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIZIIZII",
"IZIIIIZII",
"IIIIZZIII",
"ZIIIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIIIZII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"... | [
-0.5,
-0.5,
-0.25,
1.25,
-0.75,
-0.25,
-1.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-1.75,
-0.25,
1,
0,
0.5,
-0.25,
-0.75,
0.75,
0.75
] | 0.970498 | [
-0.022477326203741932,
-0.4346849636449984,
1.5839875237065588,
0.07153222589731986,
1.3914388959044899,
1.1173586352177385,
0.19953947862506388,
-0.03532431068703415,
1.3782077952930516,
-0.15436978163939935,
1.6625285670732382,
0.06203047059893663,
1.6017451533353833,
0.04568878772561308... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 11 |
-4754347706470252419 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [2, 3, 7], [1, 3, 5], [0, 3, 6], [0, 4], [0, 1, 7]]} | {"states": [29, 149], "expectation_value": -2.1773588883269817, "params": null, "bitstrings": ["11100010", "01101010"], "total_optimization_steps": 45, "probabilities": [0.02784073755346207, 0.8704100527805628], "optimization_time": 65.84607172012329} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["01101010"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.2642654284573046) q[1];
h q[2];
ry(-0.7573453796980241) q[2];
h q[3];
ry(1.5792072714975927) q[3];
h q[4];
ry(-0.33221662901534377) q[4];
cx q[0], q[4];
ry(0.33221662901534377) q[4];
cx q[0], q[4];
ry(1.4725707047252037) q[0];
cx q[0], q[2];
ry(0.7... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIIZZ",
"IIIIZIZI",
"ZIIIIIZI",
"IIZIZIII",
"IIZIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IIIZIIIZ",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666663,
0.3... | 0.97624 | [
1.5792072714975927,
-0.6644332580306875,
1.4725707047252037,
-1.5146907593960481,
-0.951069834285027,
0.14905598670914677,
0.8068293137652911,
-0.7640704094549222,
-0.5285308569146092,
0.46497775100673855,
-0.03592596313926182,
-0.6278540488654757,
0.3862370405569516,
-0.4915670261236699,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 10 |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [4, 2], "expectation_value": -0.10741910432601334, "params": [[-0.0257, -0.028900000000000002, -0.0339, -0.0611], [0.0234, 0.0245, 0.030600000000000002, 0.0538]], "bitstrings": ["011", "101"], "total_optimization_steps": 10, "probabilities": [0.1345500651817636, 0.13455006518176366], "optimization_time": 2.9... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | 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] 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[3] c;
qubit[3] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"ZZI",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 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 |
3576942539001390434 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2], [1, 2, 3]]} | {"states": [6, 3], "expectation_value": -0.6580632820980631, "params": null, "bitstrings": ["1001", "1100"], "total_optimization_steps": 16, "probabilities": [0.1884678603761805, 0.4229033830896447], "optimization_time": 8.544899702072144} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666663 * Z(2) + 0.0 * Z(0) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "1001", "0010"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.456809253802087) q[0];
cx q[2], q[0];
rz(0.3433150200477546) q[0];
rx(0.8231232906844698) q[0];
cx q[2], q[1];
rz(-0.3979238518876864) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.3979238518876864) q[3];
cx q[2], q[3];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"IZIZ",
"IZZI",
"ZZII",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666666
] | 0.755683 | [
-1.456809253802087,
-0.3979238518876864,
0.3433150200477544,
0.8231232906844697
] | {
"n_parameters": 4,
"n_qubits": 4,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 107 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [5, 33], "expectation_value": -2.910603879608093, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 20, "probabilities": [0.06070092546581366, 0.7871871279988792], "optimization_time": 12.5225350856781} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "110011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | null | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
0
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
c27e04a1b516da945dec2e0c25bb156f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 129], "expectation_value": -18.330253475223586, "params": null, "bitstrings": ["011111111", "101111110"], "total_optimization_steps": 56, "probabilities": [0.12370274241009936, 0.6775043444876436], "optimization_time": 88.44811201095581} | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06967276814104263) q[0];
rz(-0.5208853132243405) q[0];
rx(0.37891887116917855) q[1];
rz(-0.049982881516559274) q[1];
rx(-0.13726470414877495) q[2];
rz(-0.4430494836647938) q[2];
rx(0.003126559692845046) q[3];
rz(-0.3648118766750441) q[3];
rx(0.09891199110043837) q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"... | [
-0.5,
-1.75,
-1.25,
-1,
-0.5,
-0.25,
2,
-1,
-2.5,
-0.5,
-1,
-1.25,
-0.25,
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.75,
-0.75,
-0.5,
0.75,
-0.25,
-2,
1.5,
-1.25,
0.75,
-0.5,
1.5,
-0.5
] | 0.980767 | [
-0.06967276814104263,
-0.5077052066360224,
0.37891887116917855,
0.11250276711834724,
-0.137264704148775,
-0.45793354836872574,
0.003126559692845046,
-0.42011945932490585,
0.09891199110043836,
-0.5070494861943647,
0.07526411138815307,
-0.5086162215845557,
-0.0346396890206757,
-0.66674823848... | {
"n_parameters": 124,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
87e4a0ae0cc3528b58dd801d18946847 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -0.22319677657084086, "params": [[0.0475], [-0.0357]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0011514699880168671, 0.0011562302647723996], "optimization_time": 3.6686830520629883} | -0.5 * (Z(0) @ Z(3)) + -1.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 1.0 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(1)) + -1.0 * (Z(2) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.10041553024668713) q[0];
ry(-0.09710686624726408) q[1];
ry(-0.051164578508165214) q[2];
ry(0.027927218774814133) q[3];
ry(-0.11817566821676258) q[4];
ry(-0.051164578508165214) q[5];
ry(0.05827126729221757) q[6];
ry(-0.021945337310385633) q[7];
ry(-1.5536575643343... | 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[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 ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZIIIIIZI",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIIZIIZII",
"IIIIIZZIII",
"IIZIIZIIII",
"ZIIIIZIIII",
"IZIIIIZIII"... | [
-0.5,
-1.5,
-0.25,
-0.75,
-1,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
1,
-1,
-0.5,
-1,
-0.25,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
1.25,
-0.25,
1,
0.5,
-1.5,
-0.25,
-1.5,
1,
-1,
0.75
] | 0.971826 | [
-0.10041553024668713,
-0.09710686624726408,
-0.051164578508165214,
0.027927218774814133,
-0.11817566821676258,
0.05827126729221757,
-0.021945337310385633,
-1.5536575643343709,
0.6555656808859517,
0.003519904640110153,
0.11709112729487078,
0.036988057311156924,
0.005160926649853461,
0.01084... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 70 |
b6a304d520c14d5694a43ad2063dd94f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [16, 15], "expectation_value": -0.4227231256673142, "params": [[-0.0354, -0.0531], [0.0287, 0.0546]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.03858120983882802, 0.03940024550651823], "optimization_time": 2.8741440773010254} | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13743803027777515) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.5694632513900186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.13743803027777515) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.06719014077107104) 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] 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": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-0.5,
-2,
-0.5,
-0.25,
1.25,
-0.25,
-1.25,
-1.25,
0,
-0.25,
0.25,
-0.25,
0.25
] | 0.961404 | [
-0.13743803027777515,
-1.5694632513900186,
0.06719014077107104,
1.6592611721423123,
-0.07731326115708588,
-0.2931724668302063,
1.5177320101520593,
-1.3559685672286401,
-0.03723627267261057,
-1.2295121221910628,
-0.2434190042084019,
1.251513234547198,
-1.643211273080767,
-0.2196509142089397... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 500 |
60668963da06e834e19f76557703de50 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [702, 830], "expectation_value": -19.471377768143483, "params": [0.0022, -0.6662, 0.002, 0.0073, 0.0024000000000000002, -0.7287, 0.0023, 0.008, 0.0024000000000000002, -0.8267, 0.0023, 0.0014, 1.4035, -0.0131, 1.3997000000000002, 0.0045000000000000005, 0.9361, 0.3084, 0.9177000000000001, 0.008700000000000001,... | -0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(12)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0... | 5 | 13 | 1 | {"smallest_eigenvalues": [-20.5, -20.5, -20.5, -20.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.166666666666664, "smallest_bitstrings": ["1110010000000", "1110100000000", "1110011000001", "1110101000001"], "largest_eigenvalue": 44.16666666666667} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.3495795638101787) q[1];
cx q[2], q[1];
rz(1.316267177939518) q[1];
rx(0.9018162532465075) q[1];
rz(1.316267177939518) q[2];
rx(0.9018162532465075) q[2];
cx q[2], q[1];
rz(0.7064898143884604) q[1];
cx q[2], q[1];
rz(0.2181291... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIIZIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZIIIIZ",
"IIIIIIIZZIIII",
"ZIIIIIIIIZIII",
"ZIIIIZIIIIIII",
"ZIIIZIIIIIIII",
"IIIIZZIIIIIII",
"IIIIIIZIIZIII",
"ZIIIIIZIIIIII",
"IIIIIZZIIIIII",
"IIIIZIZIIIIII",
"IIIZIZIIIIIII",
"IIIZZIIIIIIII",
"IIZIIZIIIII... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
1,
0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
1,
1,
2,
0.5,
0.5,
0.5,
1,
-0.16666666666666666,
1.5,
-1.1666666666666665,
1,
1,
0.5,
4,
4,
-0.5,
4.5,
9,
3,
-0.3333333333333333,
-0.3333333333333333
] | 0.970127 | [
0.04189863073806663,
-0.002744068804934087,
-0.021418427119927266,
0.07746452679930428,
-0.2651959433094865,
-0.3495795638101787,
-0.9081232874605003,
1.1085983865872393,
-1.3250371974144388,
-1.0327661562735717,
-1.7856827631827696,
-0.964013346061466,
1.3162671779395185,
0.90181625324650... | {
"n_parameters": 42,
"n_qubits": 13,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 147 |
91fd701868951eab612ba86420778b2e | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -9.18298572523663, "params": [[-0.0541, -0.0315, -0.0055000000000000005], [0.07690000000000001, 0.0747, 0.0684]], "bitstrings": ["101101", "111100"], "total_optimization_steps": 10, "probabilities": [0.039067352154398625, 0.04286916051057599], "optimization_time": 4.969539880752... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 10 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-5.75,
-5.75,
-6.25,
-5.25,
-5.25
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
589a81c8fd04d28f25b3e8e25563f55c | 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": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [124, 127], "expectation_value": -5.241560433872697, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 65, "probabilities": [0.0020220243148332756, 0.9938053867040454], "optimization_time": 67.0836431980133} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5130369850171268) q[0];
h q[1];
ry(0.6921837006580918) q[1];
ry(-2.9297706304665203) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4827454569868557) q[3];
h q[4];
ry(0.7494136005938985) q[4];
h q[5];
ry(0.7413727284934278) q[5];
cx q[3], q[5];
ry(-0.7413727284934278) 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(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"IZIZIIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
0.25,
-0.5,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
0,
-0.25,
1.25,
-1.25,
-0.5,
1.25
] | 0.987277 | [
1.4827454569868557,
1.3843674013161835,
1.498827201187797,
1.4332589832961582,
-1.0260739700342536,
1.4650064478335973,
-0.45148341590726787,
0.1454629789395838,
0.03571598507532223,
0.17021348520364954,
0.09444752324091105,
-0.05078619528911972,
0.03558495876298554,
0.0021142938081167356,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
af7ff602e385e2b324d14d3396a2867f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [101, 103], "expectation_value": -0.14102796367764958, "params": [[-0.08710000000000001], [0.0794]], "bitstrings": ["0011010", "0011000"], "total_optimization_steps": 10, "probabilities": [0.008996098132330203, 0.009452231883432093], "optimization_time": 1.23045015335083} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.258296592739029) q[0];
ry(2.7563027754990026) q[0];
rz(-0.6035422421175172) q[0];
rz(1.8056855793288262) q[1];
ry(0.1335104346912194) q[1];
rz(-1.4728243365323184) q[1];
rz(0.9797327229011552) q[2];
ry(0.0729814338846568) q[2];
rz(0.3762903216833018) q[2];
rz(-1.99... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IZIIZII",
"IIZZIII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
0,
0,
0,
0
] | 0.980599 | [
1.034242791672522,
0.14240602016187207,
0.017687663152958916,
0.07320273075620679,
0.23209054156592357,
0.6410489198724177,
-0.04129105525821289,
0.3945629506721092,
0.13692459780759939,
0.6369740569104005,
0.025853495707741328,
0.5588185401553514,
1.0013786116648535,
-0.2008258646245596,
... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
847083b10922884c06975a23450a6e62 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [510, 508], "expectation_value": -1.506940621313339, "params": [[0.06960000000000001], [-0.0738]], "bitstrings": ["000000001", "000000011"], "total_optimization_steps": 10, "probabilities": [0.003364607573161077, 0.0033694624614730466], "optimization_time": 1.046041488647461} | -3.0 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.12543816148050954) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.044484937071112486) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.95576293667035) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.044484937071... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
-3,
0.5,
-2,
0.5,
-2,
-1.5,
0.5,
-2.5,
0.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.617396 | [
-0.12543816148050954,
-0.044484937071112486,
-0.95576293667035,
-1.1724537932394008,
-1.0258347159967431,
-1.59003739779572,
-1.0625671380283888
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 195 |
339a57bb1c23f4470580bb80982f1c3f | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [78, 90], "expectation_value": -4.999875909107173, "params": null, "bitstrings": ["0110001", "0100101"], "total_optimization_steps": 36, "probabilities": [1.717989237750008e-05, 0.9999250378337363], "optimization_time": 40.91340136528015} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.24399435750260243) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.24399435750260243) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.24399435750260243) q[2];
cx q[4], q[2];
rz(-0.4570477093... | 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", ... | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"IIIIZZI",
"ZZIIIII",
"IZIIIZI",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-0.5,
0
] | 0.725215 | [
-0.24399435750260243,
-0.45704770933237593,
-0.01048511914444058,
-1.983428147922709,
1.0355564279624263,
-1.696110385038197,
0.47323241007407796,
-0.7393798823739974,
-0.30298022667189894,
-4.559184617511286,
-0.6465996571458984
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 455 |
86f7cf811774c9dc1f8ac7ebefafd51c | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "source": 2, "target": 5}, {"weight": 1, "... | {"states": [1450, 1370], "expectation_value": -0.34405610711915063, "params": [[0.4632], [-0.4026]], "bitstrings": ["101001010101", "101010100101"], "total_optimization_steps": 50, "probabilities": [0.000852723008107303, 0.0008527230081073031], "optimization_time": 6.761716365814209} | 0.25 * (Z(0) @ Z(1)) + -0.0020000000000000005 * (Z(2) @ Z(0)) + -0.0020000000000000005 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00075 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + 0.00075 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00025000000000000006 * (Z(6) @ Z(... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5160000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.516, "smallest_bitstrings": ["101010100101"], "largest_eigenvalue": 1.521} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0790389152662755e-08) q[0];
cx q[1], q[0];
rz(1.5707962985663944) q[0];
rx(1.5707963327959067) q[0];
h q[2];
cx q[1], q[2];
rz(-1.5707963227011057) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-3.0790389152662755e-08) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0020000000000000005,
-0.0020000000000000005,
0.25,
0.00075,
-0.0010000000000000002,
0.00075,
-0.0010000000000000002,
0.25,
0.00025000000000000006,
0.0005000000000000001,
-0.0017499999999999998,
0.00025000000000000006,
0.0005000000000000001,
-0.0017499999999999998,
0.25,
0.00... | 0.833806 | [
-3.0790389152662755e-8,
-1.5707963227011057,
-2.208195592934281,
1.5707962985663946,
-0.09859111269968171,
1.5707963327959067
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 168 |
8f9556ded5862d313741f5f580f26f44 | 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": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "tar... | {"states": [345, 236], "expectation_value": -18.463910948219542, "params": [[0.0099, -0.029400000000000003, -0.024900000000000002, -0.0011], [-0.0216, 0.0446, 0.062400000000000004, 0.0582]], "bitstrings": ["010100110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.007297965962128545, 0.0114903160000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 6.0 * Z(1) + 5.5 * Z(0) + 10.0 * Z(3) + 11.0 * Z(2) + 5.... | 1 | 9 | 4 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 121.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05473525691041883) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.05473525691041883) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.05473525691041883) q[2];
cx q[0], q[2];
rz(-1.5229900471969247) q[0];
rx(-1.577074433898552) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5.5,
10,
11,
5.5,
14.5,
12.5,
0.5,
1.5
] | 0.974183 | [
0.05473525691041883,
1.6244433499446662,
-1.5229900471969247,
1.4904383169108493,
1.6593180893087505,
1.4886150292409366,
1.9350864882710626,
-1.6202825256556461,
-1.2793235269724634,
-1.577074433898552
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -77,
"target_ratio": 0.97,
"target_value": -74.69
} | 30 |
-2809900685991858373 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 5, 7, 8, 9, 10], [0, 1, 2, 4, 6, 7, 8, 9, 10], [0, 3, 4, 5, 6, 7, 9, 10], [0, 1, 2, 3, 6, 7, 10], [0, 1, 2, 3, 4, 7, 8, 9], [0, 1, 3, 6, 7, 8, 10], [1, 3, 5, 6, 8, 9, 10], [1, 3, 4, 6, 8, 9, 10], [0, 1, 3, 4, 5, 7, 8, 9], [0, 1, 2, 3, 4, 5, 7, 8]... | {"states": [939, 1003], "expectation_value": -2.3665405164130604, "params": [0.3327, -0.9964000000000001, 0.3069, 0.0068000000000000005, 1.8318, -0.5076, 1.2841, 0.0083, 1.576, -0.0036000000000000003, 1.5714000000000001, 0.0035, 1.5564, 0.0018000000000000002, 1.5787, 0.0064, 0.9749000000000001, 0.39440000000000003, 0.9... | 0.19444444444444442 * (Z(0) @ Z(1)) + 0.1111111111111111 * (Z(2) @ Z(1)) + 0.1349206349206349 * (Z(2) @ Z(0)) + 0.22817460317460314 * (Z(3) @ Z(1)) + 0.22222222222222218 * (Z(3) @ Z(0)) + 0.12103174603174602 * (Z(3) @ Z(2)) + 0.12103174603174602 * (Z(5) @ Z(1)) + 0.11507936507936507 * (Z(5) @ Z(0)) + 0.0555555555555555... | 7 | 11 | 1 | {"smallest_eigenvalues": [-2.511904761904762], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4940476190476195, "smallest_bitstrings": ["10000010100"], "largest_eigenvalue": 13.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.34944966248285186) q[0];
rz(-1.5539544039146067) q[0];
rx(1.855363093059822) q[1];
rz(-0.498555755006435) q[1];
cx q[1], q[0];
rz(0.5308731817519047) q[0];
cx q[1], q[0];
rx(0.15547417845377076) q[0];
rz(0.09911340904782445) q[0];
rx(1.1909912917622714) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIIZII",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIIIZI... | [
0.19444444444444442,
0.1111111111111111,
0.1349206349206349,
0.22817460317460314,
0.22222222222222218,
0.12103174603174602,
0.12103174603174602,
0.11507936507936507,
0.05555555555555555,
0.13888888888888887,
0.1468253968253968,
0.18849206349206346,
0.1111111111111111,
0.17460317460317457,
... | 0.970892 | [
0.3494496624828518,
-1.023081222162702,
1.855363093059822,
-0.498555755006435,
1.6136967021094122,
-0.11561136420905929,
1.573642926407211,
0.058867351527078234,
1.2919264981921146,
0.1364280874737993,
1.418190068879768,
0.14020102703788997,
0.13994248480573157,
-0.8256308317115353,
1.89... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -2.511904761904762,
"target_ratio": 0.97,
"target_value": -2.436547619047619
} | 9 |
2ab47fb8cea03fd4116981e3684cca3b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [438, 182], "expectation_value": -75.11169751207684, "params": [0.0028, 1.0391000000000001, 0.7947000000000001, 0.43960000000000005, 1.4028, 0.010400000000000001, 0.0031000000000000003, 0.914, 1.3996000000000002, -0.0031000000000000003, 1.4029, 0.3155, 0.3501, 0.6224000000000001, 1.3933, 0.0188, 1.3978000000... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(7) @ Z(9)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(9)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * Z(2) + 10.5 * Z(1) + -5.0 * Z(3) + 8.0 * Z(4) + 1.5 * Z(6) + 12.5 * Z(5)... | 18 | 10 | 2 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["1101001001"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.1372996373927014) q[0];
rz(1.722023631990936) q[0];
rx(0.27368705009036376) q[1];
rz(0.250649668673308) q[1];
rx(1.2622559017942352) q[2];
rz(-0.17139656552886867) q[2];
rx(0.08510035809952965) q[3];
rz(0.9773007340734448) q[3];
rx(1.3074070503874762) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIIZIIIZI",
"IIIZZIIIII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
10.5,
-5,
8,
1.5,
12.5,
7,
9.5,
18.5,
-10.5
] | 0.975306 | [
-0.13729963739270143,
1.526190930404397,
0.27368705009036376,
0.250649668673308,
1.2622559017942352,
-0.17139656552886867,
0.08510035809952965,
0.9773007340734448,
1.3074070503874762,
-0.04157920046061771,
1.4347532235322014,
0.472029561557525,
-0.058054496018999494,
0.5221919187052301,
... | {
"n_parameters": 57,
"n_qubits": 10,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 12 |
da3c81488557dc57e6e1f0bd43d65336 | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [42, 41], "expectation_value": -2.999862368845878, "params": null, "bitstrings": ["010101", "010110"], "total_optimization_steps": 28, "probabilities": [1.7185116648684505e-05, 0.9999311603755043], "optimization_time": 15.98145866394043} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
1323656156022397186 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4], [0, 1, 3, 5], [0, 1, 3, 4], [1, 2], [4, 5]]} | {"states": [50, 45], "expectation_value": -0.4292194380803295, "params": [[-0.269], [0.27440000000000003]], "bitstrings": ["001101", "010010"], "total_optimization_steps": 30, "probabilities": [0.028891460524593456, 0.029289393274660847], "optimization_time": 1.4479565620422363} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.0833333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5833333333333333, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.816358909227724e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-1.816358909227724e-08) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(2.037501028222796e-07) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-1.816358909227724e-08) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
c... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.125,
0.375,
0.375,
0.25,
0.25,
... | 0.848419 | [
-1.816358909227724e-8,
2.037501028222796e-7,
-2.1824929661100562e-8,
-1.5707963641461296,
-1.1236137996150453e-7,
-1.570796393374592,
0.8476233476379548
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -1.666666666666666,
"target_ratio": 0.97,
"target_value": -1.616666666666666
} | 195 |
-6164536770074048574 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 5, 7], [1, 10, 11, 4], [1, 11, 6], [0, 1, 2, 3, 7, 8, 9], [2, 11], [0, 1, 2, 4, 5, 6, 7, 8], [0, 2, 4, 5, 6, 8, 9, 10], [3, 4, 5, 7, 8, 9, 10, 11], [2, 4, 5, 7, 8, 9], [0, 1, 3, 4, 5, 6, 7, 9], [0, 1, 2, 3, 4, 6, 8, 9, 10], [0, 1, 4, 5, 7, 8, 9, 10... | {"states": [2549, 2555], "expectation_value": -3.690803983441977, "params": [1.856, 1.268, 0.2154, 0.5736, -0.0029000000000000002, -0.023700000000000002, 1.6304, 1.5063, 1.5241, 1.6078000000000001, 1.4291, 1.7048, 1.73, 1.3478, 1.2884, 1.7799, 1.5051, 1.5988, 1.8705, 1.272, 1.6826, 1.262, 1.2155, 1.4479, 0.9623, 1.4567... | 0.13888888888888887 * (Z(2) @ Z(3)) + 0.19246031746031744 * (Z(5) @ Z(3)) + 0.17023809523809522 * (Z(5) @ Z(2)) + 0.24007936507936506 * (Z(7) @ Z(3)) + 0.21547619047619046 * (Z(7) @ Z(2)) + 0.20198412698412696 * (Z(7) @ Z(5)) + 0.1765873015873016 * (Z(1) @ Z(3)) + 0.07936507936507936 * (Z(1) @ Z(2)) + 0.091269841269841... | 14 | 12 | 1 | {"smallest_eigenvalues": [-4.177777777777778], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.15238095238095, "smallest_bitstrings": ["011000000100"], "largest_eigenvalue": 19.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.998491948513594) q[0];
rz(pi/2) q[0];
ry(0.029337994941457633) q[1];
ry(-0.27340199903085904) q[2];
ry(1.6699833693482764) q[3];
ry(1.455528846943462) q[4];
ry(1.4100740997719006) q[5];
ry(1.9863184859590428) q[6];
ry(1.360169643308643) q[7];
ry(1.544284374663224)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZII",
"IIIIIIZIZIII",
"IIIIIIZIIZII",
"IIIIZIIIZIII",
"IIIIZIIIIZII",
"IIIIZIZIIIII",
"IIIIIIIIZIZI",
"IIIIIIIIIZZI",
"IIIIIIZIIIZI",
"IIIIZIIIIIZI",
"IZIIIIIIZIII",
"IZIIIIIIIZII",
"IZIIIIZIIIII",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"ZIIIIIIIZIII",
"ZIIIIIIIIZII",
"ZIIIIIZII... | [
0.13888888888888887,
0.19246031746031744,
0.17023809523809522,
0.24007936507936506,
0.21547619047619046,
0.20198412698412696,
0.1765873015873016,
0.07936507936507936,
0.09126984126984126,
0.19841269841269843,
0.08134920634920634,
0.10674603174603173,
0.10317460317460317,
0.1067460317460317... | 0.971128 | [
1.998491948513594,
0.029337994941457633,
-0.27340199903085904,
1.6699833693482764,
1.455528846943462,
1.4100740997719006,
1.9863184859590428,
1.360169643308643,
1.544284374663224,
2.2160315437552027,
1.7658332991239825,
1.1198401102727358,
0.23503050847324397,
1.5386793653124018,
-0.2609... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -4.177777777777778,
"target_ratio": 0.97,
"target_value": -4.052444444444444
} | 23 |
3416478911775557608 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5, 6], [1, 2], [2, 5], [3, 4, 5], [0, 2, 6], [1, 4], [0, 3, 4]]} | {"states": [57, 29], "expectation_value": -2.6853845148879976, "params": null, "bitstrings": ["1000110", "1100010"], "total_optimization_steps": 34, "probabilities": [0.0594884830556892, 0.8937306074696448], "optimization_time": 38.63266730308533} | 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(0) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["1100010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5596120050659863) q[0];
h q[1];
ry(-0.29756343621960635) q[1];
h q[2];
ry(1.4280309599703835) q[2];
h q[3];
ry(1.5000462001032064) q[3];
h q[4];
cx q[4], q[1];
ry(0.29756343621960635) q[1];
cx q[4], q[1];
ry(-0.42348024267695494) q[1];
ry(1.235182021622900... | 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(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IZIZIII",
"ZZIIIII",
"ZIIZIII",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IZZIIII",
"IIZZIII",
"IIZIIZI",
"IIIZIIZ",
"ZIIIIIZ",
"IIIIZIZ",
"IIZIIIZ",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IIIIIIZ"
] | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333335,
0.4999999999999999,
0.3333333333333333,
0... | 0.974945 | [
1.5000462001032064,
-0.5951268724392127,
1.4280309599703835,
-1.421545319607732,
0.9642062571789104,
-0.8469604853539099,
0.5419515288879801,
0.12805003557816136,
0.9037478339634542,
-1.1192240101319726,
0.5375499642871647,
-0.46322087401525086,
-0.30400790155774826,
-0.22057638795276863,
... | {
"n_parameters": 26,
"n_qubits": 7,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 11 |
fb6267fe9e00f958431b621d7db08da1 | 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": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [0, 1], "expectation_value": -4.044138092580857, "params": [[[0.0033, 0.39840000000000003], [0.0022, 0.532], [-0.0004, 0.1879], [0.0026000000000000003, 0.5786], [0.0029000000000000002, 0.39440000000000003], [0.0024000000000000002, 0.5965], [0.8049000000000001, -0.0037]], [[0.0041, 0.0097], [0.0023, 0.003], [... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8256979864230616) q[0];
ry(-0.06047270206602687) q[1];
rz(-pi) q[1];
ry(-0.014969240940445772) q[2];
rz(-pi) q[2];
h q[3];
rz(-pi) q[4];
ry(-0.03264831394078908) q[4];
h q[5];
ry(0.38986338903582735) q[5];
cx q[3], q[5];
ry(-0.38986338903582735) q[5];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
-0.25,
0.5,
-1,
0,
0.25,
0.25
] | 0.9716 | [
-1.4905875067940901,
1.6866535584938058,
-1.6513959728461232,
0.7797267780716547,
-0.9916435268869962,
-1.0342852189492289,
-1.045626493862757,
-1.5904426894702208,
-0.4859469214319778,
-1.4056839420523877,
-0.3002862876041261,
0.19491589361314454,
-0.12374949131886509,
-0.0260039025309298... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 4 |
db9bec2bea45545e045b5cbbf4ab1f9f | 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": 5, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target":... | {"states": [49, 1007], "expectation_value": -0.015089678249937927, "params": [[0.0097, 0.1013, 0.0063, 0.0027, 0.0021000000000000003, 0.0045000000000000005, 0.0025, 0.0085, 0.0006000000000000001, 0.09570000000000001, 0.0018000000000000002], [0.001, 0.1015, -0.002, 0.0044, 0.0027, 0.0088, 0.0092, 0.0051, 0.0016, 0.0959,... | -1.25 * (Z(0) @ Z(6)) + -2.0 * (Z(4) @ Z(6)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(3)) + -0.25 * (Z(9) @... | 9 | 11 | 2 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["10000010000"], "largest_eigenvalue": 22.25} | 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(0.008150636584148076) 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[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIIIIIZIIZI",
"IIIIIZZIIII",
"IIIIIZIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIZIIZII",
"IIIIIIZZIII",
"IIIIIIIZZII",
"IIZIZIIIIII",
"IIZIIIZIIII",
"IIZIIIIZIII",
"IZIIIZIIIII",
"IZIIIIIZIII",
"IZZIIIIIIII",
"IIIZZIIIIII",
"IIIZIIZIIII",
"IIZZIIIII... | [
-1.25,
-2,
-1.25,
-0.5,
-0.5,
1.5,
-1.25,
-0.25,
-1.25,
-0.75,
-1.25,
-0.5,
-2,
-0.25,
-1,
-0.25,
-1,
-0.5,
-1,
-0.75,
-0.5,
-0.75,
-1.5,
-4.75,
-0.25,
-1.5,
3,
0,
-0.75,
2,
1.75,
-1,
-0.5,
2
] | 0.068966 | [
1.178724163868856,
1.5707960088965218,
-0.7716850083051279,
-2.73287879005018,
-1.2414695726174825,
0.5232976790264364,
-2.356290111181708,
1.9188448878163569,
1.4686534592221334,
1.5707957552086271,
0.008150636584148076,
1.9952639790917954,
1.5707962888189282,
-5.251270470520824e-8,
-1.... | {
"n_parameters": 21,
"n_qubits": 11,
"optimal_eigenvalue": -21.75,
"target_ratio": 0.97,
"target_value": -21.0975
} | 500 |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [371, 427], "expectation_value": -0.24279169243305512, "params": [[0.0673], [-0.051500000000000004]], "bitstrings": ["010001100", "001010100"], "total_optimization_steps": 10, "probabilities": [0.0022078920443827916, 0.0022078920443827916], "optimization_time": 4.8903868198394775} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
76e68a1495e152849a2a24532bb1961c | 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": 8, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 2}, {"weight": 5, "source": 2, "target": 3}, {"weight": 12, "source... | {"states": [190, 182], "expectation_value": -75.89451588050257, "params": [-0.0037, 0.5904, 1.0687, 0.1763, 0.31620000000000004, 0.4128, 1.0735000000000001, 0.1631, 1.0688, 0.0081, 0.47440000000000004, 0.34700000000000003, 1.0718, 0.1801, 1.0691000000000002, -0.0056, 0.2901, 0.38330000000000003, -0.0079, 0.5999, 1.0712... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) ... | 3 | 9 | 3 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 182.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08845818560687845) q[0];
rz(0.5371814636227068) q[0];
rx(1.0394177804593727) q[1];
rz(0.03190931515403328) q[1];
rx(0.07346978141478352) q[2];
rz(0.5684203276419231) q[2];
rx(0.9075930378137013) q[3];
rz(0.12566092564167297) q[3];
rx(0.9741213618044582) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
18.5,
-1,
7.5,
15.5,
21,
10,
10.5,
17.5,
7.5
] | 0.972305 | [
-0.08845818560687845,
0.3752674827768938,
1.0394177804593727,
0.13514812998890902,
0.0734697814147835,
0.38698402424107853,
0.9075930378137013,
0.05039550439715499,
0.9741213618044582,
0.1817713588920456,
0.49453133254595777,
0.5079377745210952,
1.1587589140765544,
0.30384992343473305,
1... | {
"n_parameters": 75,
"n_qubits": 9,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 10 |
9165708408815368343 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 2, 3, 7], [8, 10], [1, 2, 5, 6, 7, 8], [0, 10, 3, 6], [0, 1, 2, 3, 5, 9, 10], [0, 8, 2, 1], [0, 1, 3, 6, 7, 9], [4, 5]]} | {"states": [1884, 1948], "expectation_value": -2.12147695941123, "params": [[[2.3984, -1.2269, 0.0053, 0.0016], [-0.0023, -1.2268000000000001, -0.003, 0.0078000000000000005], [1.5681, -0.0024000000000000002, 1.5678, 0.0091], [1.9858, -0.0019, 1.1492, 0.0078000000000000005], [1.4953, -0.0024000000000000002, -0.0784, 0.0... | 0.2238095238095238 * (Z(1) @ Z(3)) + 0.10714285714285714 * (Z(4) @ Z(3)) + 0.14047619047619048 * (Z(4) @ Z(1)) + 0.11666666666666667 * (Z(8) @ Z(3)) + 0.15 * (Z(8) @ Z(1)) + 0.11666666666666667 * (Z(8) @ Z(4)) + 0.11666666666666667 * (Z(9) @ Z(3)) + 0.11666666666666667 * (Z(9) @ Z(1)) + 0.03333333333333333 * (Z(9) @ Z(... | 11 | 11 | 1 | {"smallest_eigenvalues": [-2.307142857142857, -2.307142857142857], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.2928571428571427, "smallest_bitstrings": ["00001100011", "00001010010"], "largest_eigenvalue": 6.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(2.7977718182656663) q[0];
rz(-0.7976037253593401) q[0];
ry(-0.07332627585762737) q[1];
rz(-1.2273725507917306) q[1];
cx q[1], q[0];
ry(-0.01975650637058975) q[1];
rz(-0.20227821691682005) q[1];
ry(1.5849201804710171) q[2];
rz(0.04831413038480423) q[2];
ry(1.81777938... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IIZIIIIZIII",
"IIZIIIIIIZI",
"IIZIIIZIIII",
"IZIIIIIZIII",
"IZIIIIIIIZI",
"IZZIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IZIIIIIIZII",
"IIIIZIIZIII",
"IIIIZIIIIZI",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"IIIIZIIIZ... | [
0.2238095238095238,
0.10714285714285714,
0.14047619047619048,
0.11666666666666667,
0.15,
0.11666666666666667,
0.11666666666666667,
0.11666666666666667,
0.03333333333333333,
0.023809523809523808,
0.023809523809523808,
0.10714285714285714,
0.5,
0.05714285714285714,
0.05714285714285714,
0... | 0.977 | [
2.7977718182656663,
-0.7976037253593401,
-0.07332627585762737,
-1.2273725507917306,
1.5849201804710171,
0.04831413038480423,
1.8177793898634176,
0.01717534821871311,
1.5098188224256046,
0.9919546526919127,
-0.11721233897505766,
1.4906559222334788,
0.0479654139389899,
0.9097240326389191,
... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -2.307142857142857,
"target_ratio": 0.97,
"target_value": -2.2379285714285713
} | 15 |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [26, 14], "expectation_value": -0.22670322246733574, "params": [[-0.0845, -0.08370000000000001], [0.07880000000000001, 0.0779]], "bitstrings": ["100101", "110001"], "total_optimization_steps": 10, "probabilities": [0.020675065373288178, 0.020675065373288185], "optimization_time": 2.5256216526031494} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
27f91ac61eafc4edd382d0960965a450 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [325, 327], "expectation_value": -70.89040017812108, "params": [[[-0.0017000000000000001, 0.0038], [0.0785, 0.014], [0.8651000000000001, 0.14830000000000002], [0.0135, 0.1844], [0.14400000000000002, 0.0047], [0.2631, 0.26], [0.3809, 0.2313], [0.6683, 0.8752000000000001], [0.6751, 0.3509]], [[0.90140000000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 15.5 * Z(0) + -5.0 * Z(1) + 14.0 * Z(2) + 3.0 * Z(3) + 2.0 * Z(4) + 5.0 * Z(5) + 8.0 * Z(6) + 9.5 * ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.932394573638247) q[0];
rz(-0.0034764364399242353) q[0];
rx(-0.07588824216408833) q[1];
rz(0.3539123064793494) q[1];
rx(0.8804423519945331) q[2];
rz(0.3224128446518846) q[2];
rx(-0.14303876022088258) q[3];
rz(0.20551149347291547) q[3];
rx(0.028236981730654854) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
15.5,
-5,
14,
3,
2,
5,
8,
9.5,
12
] | 0.981902 | [
0.9323945736382468,
0.044347000981592735,
-0.07588824216408833,
0.3539123064793494,
0.8804423519945331,
0.3224128446518846,
-0.14303876022088258,
0.20551149347291547,
0.028236981730654854,
0.3538010297810163,
0.3038228628994717,
0.2676103219705503,
0.9630563697736582,
0.09430235729779138,
... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 12 |
6172ec2f30329f156b64312801e66ef4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [39, 47], "expectation_value": -7.209849215427568, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 43, "probabilities": [0.42743550266038083, 0.4274887006346332], "optimization_time": 41.229273319244385} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1011010", "1011000", "1010000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15321410223109672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.15321410223109672) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.003386663219578) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.15321410223109672) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.25,
-1,
1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-1.5,
-0.25,
1.75,
-1.5,
-0.25,
1.25,
0.5
] | 0.80901 | [
-0.15321410223109672,
-0.003386663219578,
1.3792064432981384,
1.6536245255120825,
0.007415038342467658,
-0.00033579823225607776,
-0.04906685260021198,
1.5514059338137396,
1.57108267036554,
1.549966787492532,
-1.43906272514929
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 276 |
ad5e16c647b3e8afeeb51cea63283747 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [635, 619], "expectation_value": -2.808215141512011, "params": [2.9645, 0.0088, -0.0019, 0.0002, -0.0022, 0.0098, 3.099, 0.0016, 3.096, 0.0097, 1.532, 0.0002, 1.6572, 0.0027, 0.0029000000000000002, 0.004, 3.0657, 0.0002, 3.0743, 0.0051, 0.0079, 0.004200000000000001, 0.0055000000000000005, 0.0074, 0.009000000... | 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)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(8) @ Z(0)) + 0.0625 * (Z(9) @ Z(0)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(8) @ Z(5)) + 0.06... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.3125, "smallest_bitstrings": ["1011000100", "1010000110", "0100111000", "0100110100", "0110000110", "0110000101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5498208309717705) q[0];
rz(-pi) q[1];
ry(-0.027905039045476778) q[1];
h q[2];
ry(1.4286739804212187) q[2];
h q[3];
h q[4];
ry(-1.5712458828569957) q[4];
h q[5];
cx q[5], q[0];
ry(0.5498208309717705) q[0];
cx q[5], q[0];
ry(-0.6191263193766597) q[0];
ry(1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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",
"IIIIZIIZII",
"IIZZIIIIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IIIZZIIIII",
"IZIIZIIIII",
"ZIIIZIIIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIZZIIIIZ",
"IZIIZIIIIZ",
"ZIIIZIIIIZ"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0... | 0.994261 | [
-1.5712458828569957,
-1.4972505690550146,
1.4286739804212187,
-1.0053995826514508,
-1.099641661943541,
0.690142419476929,
-0.4471038081227416,
0.6668894682407048,
-0.3440450225078362,
0.09470115397418863,
0.33432841627262677,
-0.28297716612437795,
-0.16457309048695368,
0.2152753034606018,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
9fe1c14a83db7d171b778bdd442e074c | 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": [1986, 962], "expectation_value": -105.57024389780717, "params": [0.8438, 0.6857000000000001, 1.2971000000000001, 1.2955, 1.2922, 1.294, 1.3006, 1.2967, 1.3053000000000001, 1.0677, 0.45320000000000005, 0.48610000000000003, 0.1254, -0.12710000000000002, -0.0034000000000000002, -0.0044, -0.0008, 0.008400000000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(0) @ Z(3)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(9)) + 24.5 * Z(2) + 24.0 * Z(1) + 25.0 * Z(3) + 10.0 * Z(0) +... | 14 | 11 | 1 | {"smallest_eigenvalues": [-133.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -123.5, "smallest_bitstrings": ["10000111101"], "largest_eigenvalue": 171.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.2739246563131144) q[0];
rz(pi/2) q[0];
ry(1.4893270524589022) q[1];
ry(1.6423907803369346) q[2];
ry(1.5708420743047662) q[3];
ry(1.7325824481526362) q[4];
ry(-0.2789632309129714) q[5];
ry(-0.12320628134324604) q[6];
ry(-0.08794160314299061) q[7];
ry(0.21740854257... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIZIIIZIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
24.5,
24,
25,
10,
3,
0.5,
-5,
-3,
8.5,
-7,
-4
] | 0.972119 | [
-0.2739246563131144,
1.4893270524589022,
1.6423907803369346,
1.5708420743047662,
1.7325824481526362,
-0.2789632309129714,
-0.12320628134324604,
-0.08794160314299061,
0.21740854257122336,
1.699070129522799,
-0.1286690424445255,
1.0583320558029496,
-0.05247716638161121,
0.4931245235128555,
... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -133.5,
"target_ratio": 0.97,
"target_value": -129.495
} | 17 |
8342312533572641236 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 5, 7], [4, 5], [2, 5, 6], [0, 2, 3], [1, 2, 4], [0, 1, 6], [0, 5], [2, 3, 5], [3, 6], [1, 3, 5], [2, 3, 7], [0, 3, 4]]} | {"states": [234, 248], "expectation_value": -3.2790264618000595, "params": null, "bitstrings": ["00010101", "00000111"], "total_optimization_steps": 48, "probabilities": [0.07393805223058379, 0.8529290193290009], "optimization_time": 64.37355279922485} | 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000018, "smallest_bitstrings": ["00000111"], "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];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-0.7234456985372794) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(-0.046629705202626395) q[1];
cx q[7], q[1];
cx q[0], q[1];
rz(-0.046629705202626395) q[1];
cx q[0], q[1];
cx q[7], q[5];
rz(-0.0... | 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(1.5592) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIIZZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIIZIIIZ",
"IIIZIIZI",
"IIZZIIII",
"ZIIIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIIZII",
"IIIZIZII",
"IZIIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"ZIIIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZIZIII",
"IIIZZII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.577801 | [
-0.7234456985372794,
-0.046629705202626395,
0.07779811511543233,
-1.0673917866483085,
-0.708571720298109,
0.8437964822042353
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 147 |
5773346088093114269 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [5, 6], [1, 3], [1, 2], [2, 4], [1, 6]]} | {"states": [25, 102], "expectation_value": -0.07765215247653455, "params": [[-0.0829], [0.07980000000000001]], "bitstrings": ["1100110", "0011001"], "total_optimization_steps": 10, "probabilities": [0.009076447884378745, 0.009076447884378745], "optimization_time": 0.4826698303222656} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1100110", "0011001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.7249076449305294) q[0];
h q[1];
h q[2];
ry(-0.03140593193972235) q[2];
cx q[1], q[2];
ry(0.03140593193972235) q[2];
cx q[1], q[2];
ry(1.5280724218060178) q[1];
ry(-0.24548350592250257) q[2];
h q[3];
ry(-0.7708696184172751) q[3];
cx q[1], q[3];
ry(0.77086961... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[6], q[1];
... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZZIIIII",
"IIIIZZI",
"ZIIIIZI",
"IIIZIZI",
"IIZIZII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.978505 | [
-0.0628118638794447,
1.5280724218060178,
-1.5417392368345502,
-0.49096701184500513,
1.627390094442357,
1.4498152898610588,
-0.6680887158361363,
-0.11659429923310646,
1.1749888418518226,
-1.4119937720505469,
0.17379567660300346,
0.16100592334765002,
-0.11090905873909876,
0.20452423185080462... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 28 |
f855126c9b49092b308e3852959f5914 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [127, 1023], "expectation_value": -0.18003495253273968, "params": [[0.0129], [-0.0206]], "bitstrings": ["1110000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.001029039628072248, 0.001030116051033419], "optimization_time": 3.7198853492736816} | 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(5)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(9)) + -2.5 * (Z(7) @ Z(4)) + -2.5 * (Z(8) @ Z(5)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-0.1435631166408624) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-1.0140315114856828) q[1];
cx q[0], q[1];
rz(-0.14356311664086263) q[0];
rx(-0.9626135173594935) q[0];
cx q[2], q[1];
rz(-0.8519808512251207) q[1];
cx q[2], q[1];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIZIZIII",
"ZIIIZIIIII",
"ZIIIIIZIII",
"IIIIZZIIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIZIZIIIII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZIIZIIII",
"IZIIZIIIII",
"IZIIIIZIII",
"ZZIIIIIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIZZIIIII",
"IIIZIIZIII"... | [
0.5,
-1.5,
-2,
-3,
1,
-2.5,
-3.5,
1,
-3,
0.5,
0.5,
-2,
-2.5,
-2.5,
0.5,
0.5,
-3,
0.5,
-2.5,
0.5,
1,
-2,
0.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.550326 | [
-0.1435631166408624,
-1.0140315114856828,
-0.8519808512251207,
-0.5349055375935025,
-0.2520554187758214,
-0.7424454671127177,
-0.46015174848800716,
-0.839946125599984,
-0.9626135173594935
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 213 |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | 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": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [441, 509], "expectation_value": -8.499302853593848, "params": null, "bitstrings": ["1001000110", "1000000010"], "total_optimization_steps": 98, "probabilities": [0.23031531104549027, 0.7031321229121374], "optimization_time": 251.71510338783264} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000010", "1000000001", "1001000101", "1001000110"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7937705898048096) q[0];
h q[1];
ry(0.6192559707330874) q[1];
h q[2];
ry(1.545665404851387) q[2];
h q[3];
ry(0.8722854136704878) q[3];
h q[4];
ry(1.545665404851387) q[4];
cx q[4], q[1];
ry(-0.6192559707330874) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.79377... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[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]... | [
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIIIIIIZ"... | [
1,
-1,
0.5,
0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
2,
2,
1.5,
-1.5,
2.5,
1.5,
1.5,
0.5,
-1,
-1
] | 0.99397 | [
1.545665404851387,
1.7445708273409757,
1.5815739478927993,
1.2385119414661747,
-1.5875411796096193,
1.0341795361675983,
1.443948565645053,
-1.2687313125160538,
0.7910102675394354,
-0.49367531849502655,
0.5884490707767628,
-0.34137358121040356,
0.3593949234668095,
0.15884005412046098,
0.3... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
-2715487831462971391 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 9, 4, 5], [8, 9, 4, 6], [0, 1, 2, 5, 9], [9, 3], [6, 7]]} | {"states": [425, 937], "expectation_value": -1.4749203907597797, "params": [1.3978000000000002, -0.524, 0.8336, 0.004200000000000001, 1.3939000000000001, -0.08420000000000001, 1.3768, 0.0067, 1.4006, -0.0818, 1.3858000000000001, 0.0045000000000000005, 0.19360000000000002, -0.5850000000000001, 0.1923, 0.0056, 1.39590000... | 0.13333333333333333 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(9)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(9)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.08333333333333... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.7000000000000004, -1.7000000000000004, -1.7000000000000004, -1.7000000000000004], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.7000000000000002, "smallest_bitstrings": ["1001000110", "0001010110", "0001011000", "1001001000"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.7099547858937316) q[0];
rz(-0.5621052899676431) q[0];
rx(1.5340386547931666) q[1];
rz(0.11961491533960533) q[1];
rx(1.726952548727786) q[2];
rz(-0.25365710876109127) q[2];
rx(-0.001771737963364862) q[3];
rz(-1.08839808851981) q[3];
rx(1.3164400796814697) 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": []} | [
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIZIIIZ",
"ZIIIZIIIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"ZZIIIIIIII",
"IZIIIZIIII",
"ZIIZIIIIII",
"IIIZIZIIII",
"IZIZIIIIII",
"ZIIIIIIIZI",
"IIIIIIIIZZ",
"IIIIZIIIZI",
"ZIIIIIIZII",
"IIIIIIIZIZ",
"IIIIZIIZII",
"IIIIIIIZZI",
"ZIIIIIZIII",
"IIZZIIIIII"... | [
0.13333333333333333,
0.16666666666666666,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
... | 0.973218 | [
1.7099547858937314,
-0.6180846449205882,
1.5340386547931664,
0.1509306183331086,
1.726952548727786,
-0.24959341345762276,
-0.0017717379633648625,
-0.87259919785248,
1.31644007968147,
-0.18898988044190046,
0.3140515969249601,
-0.57440090542719,
1.5206477082263077,
-0.0016891263151975894,
... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -1.7000000000000004,
"target_ratio": 0.97,
"target_value": -1.6490000000000002
} | 58 |
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": [1770, 1774], "expectation_value": -1.72369333553663, "params": [[[0.4767, 0.2412, 0.0009000000000000001, 0.0092], [1.1025, 0.24550000000000002, 0.6482, 0.0046], [1.1059, -0.001, 1.1082, 0.0015], [1.1081, -0.0029000000000000002, 1.0964, 0.006], [0.8570000000000001, 0.3806, 1.0685, 0.0068000000000000005], [0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (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 | 1 | {"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": ["001001100010", "010001100010", "010100010001", "100010010001", "001100100010", "... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"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 |
4700601e722e5f0a0c40acc2968ffc97 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [2, 3], "expectation_value": -3.314091252131017, "params": [[[0.789, 0.0078000000000000005], [0.7895000000000001, 0.0098], [0.7885000000000001, 0.0046], [1.6055000000000001, 0.0012000000000000001], [1.6054000000000002, 0.0014]]], "bitstrings": ["11101", "11100"], "total_optimization_steps": 160, "probabiliti... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
-2.75,
-2.75,
-2.75,
-2.5,
-2.25
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [3422, 1966], "expectation_value": -3.9662434391492987, "params": [[-0.1451, -0.1301, -0.1343], [0.15610000000000002, 0.13490000000000002, 0.1341]], "bitstrings": ["001010100001", "100001010001"], "total_optimization_steps": 20, "probabilities": [0.0029213242297355356, 0.002921324229735536], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 3 | {"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": ["100100010100", "100100010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [63, 9], "expectation_value": -0.35477508211943315, "params": [[0.0594, 0.0522], [-0.056600000000000004, -0.0422]], "bitstrings": ["1000000", "1110110"], "total_optimization_steps": 10, "probabilities": [0.0094062800781151, 0.009493732962467062], "optimization_time": 3.870401620864868} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000100", "1000000", "1010100", "1010000", "1100100", "1100000", "1110110", "1110100", "1110000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7202482055888763) q[0];
h q[1];
h q[2];
h q[3];
ry(0.6763684963105008) q[3];
h q[4];
h q[5];
ry(1.544949320168152) q[5];
h q[6];
ry(0.7842758172411688) q[6];
cx q[5], q[6];
ry(-0.7842758172411688) q[6];
cx q[5], q[6];
cx q[6], q[0];
ry(0.7202482055888763) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
1.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
0,
0.25,
-0.5,
-0.5,
-0.5
] | 0.997887 | [
1.544949320168152,
1.5685516344823376,
-1.4404964111777525,
1.3527369926210016,
-0.21987719305568587,
0.09712159271413541,
0.06523432631452608,
-0.047813366282852085
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
7217034462980724262 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [3, 7], [0, 6], [0, 1], [1, 7], [2, 5], [3, 5], [1, 6], [0, 7], [4, 6], [0, 5], [2, 3]]} | {"states": [146, 178], "expectation_value": -2.613674622751854, "params": null, "bitstrings": ["01101101", "01001101"], "total_optimization_steps": 61, "probabilities": [0.33052640724000537, 0.3929670510564092], "optimization_time": 65.8120505809784} | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.0, "smallest_bitstrings": ["00100111", "01001101", "10010010", "01010110", "11011000", "01101101", "11111000", "00000111", "10101001", "10110010"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(0.5369401898276307) q[6];
cx q[7], q[6];
cx q[7], q[3];
rz(0.5369401898276307) q[3];
cx q[7], q[3];
cx q[3], q[2];
rz(0.5369401898276307) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(0.536940189... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZZIIIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"IZIIIIIZ",
"ZIIIIIZI",
"IZIIIIZI",
"IIIIIIZZ",
"IIIIZZII",
"IIZIZIII",
"IIZIIIIZ",
"IIZIIZII",
"IZIZIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.545047 | [
0.5369401898276307,
-1.8027101214116508e-8,
-0.6455287861963538
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 94 |
c24dd733315066f7c7da3d578f954d8c | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [45, 47], "expectation_value": -0.05820664780775678, "params": [[0.052000000000000005], [-0.0438]], "bitstrings": ["010010", "010000"], "total_optimization_steps": 10, "probabilities": [0.01632352468842913, 0.016597080980967897], "optimization_time": 0.9129276275634766} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-3.109822845335567) q[0];
h q[1];
ry(-1.5582063124952958) q[1];
rz(-pi) q[2];
ry(-3.109822845335567) q[2];
rz(-pi) q[3];
ry(-3.109822845335567) q[3];
h q[4];
ry(1.469755261649514) q[4];
rz(-pi) q[5];
ry(-3.135276556501939) q[5];
cx q[4], q[5];
ry(-0.107... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"ZIIIZI",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
0,
0,
0,
0
] | 0.994345 | [
-1.5582063124952958,
1.469755261649514,
0.21471432446647404,
0.2656217467992172,
0.18133959097226313
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
f20b14ccaf46fd91ed39b9c05edbe906 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [10, 20], "expectation_value": -0.030707778260315025, "params": [[-0.0251], [0.037200000000000004]], "bitstrings": ["10101", "01011"], "total_optimization_steps": 10, "probabilities": [0.03177791799021642, 0.03177791799021642], "optimization_time": 0.9323103427886963} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111", "01011", "10101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-0.5,
-1
] | 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 |
86f7cf811774c9dc1f8ac7ebefafd51c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [1, 9], "expectation_value": -2.7986875520424834, "params": [0.0077, 0.057100000000000005, 0.4078, 0.0037, 0.0013000000000000002, 0.29500000000000004, 0.0013000000000000002, 0.3029, 0.4053, 0.005, -0.0012000000000000001, 0.2529, 0.4036, 0.0058000000000000005, 0.006200000000000001, 0.24130000000000001, 0.003,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(4) @ Z(1)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.25 * Z(4) + -1.0 * Z(3) | 18 | 5 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0790389152662755e-08) q[0];
cx q[1], q[0];
rz(1.5707962985663944) q[0];
rx(1.5707963327959067) q[0];
h q[2];
cx q[1], q[2];
rz(-1.5707963227011057) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-3.0790389152662755e-08) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZZIII",
"IIZZI",
"ZIIZI",
"ZIZII",
"ZIZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.25,
-0.75,
-0.25,
-1
] | 0.833806 | [
-3.0790389152662755e-8,
-1.5707963227011057,
-2.208195592934281,
1.5707962985663946,
-0.09859111269968171,
1.5707963327959067
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 168 |
90ed954541db23a75eecb07977c28089 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [24, 20], "expectation_value": -4.973756373003075, "params": null, "bitstrings": ["100111", "101011"], "total_optimization_steps": 18, "probabilities": [0.07348093650168183, 0.9007115427574266], "optimization_time": 16.228154182434082} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3009393722060807) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3009393722060807) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3009393722060807) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.3009393722060807) q[0];
cx q[3], q[0];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.807446 | [
0.3009393722060807,
1.2484013044131173,
-0.3798378390662217,
0.4270385845264586,
-0.18410433411884003,
0.15621560101591658,
0.7528483255570873,
0.46142641491757197,
0.9481662270374182,
-0.565569105340614,
-0.3443169043342043,
-0.45828684618528925,
0.6868535447971575,
-0.27349808895761746,
... | {
"n_parameters": 27,
"n_qubits": 12,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 500 |
8ca1cc128f26bbc587d2dbeb0c149cd8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [890, 882], "expectation_value": -2.972289046642632, "params": [[0.1598, 0.9218000000000001, -0.0016, 1.6335000000000002, 0.0009000000000000001, 1.2697, -0.24300000000000002, 0.0022, 1.5670000000000002, 0.0025], [2.2024, 2.1892, 0.0036000000000000003, 1.5035, 2.1954000000000002, 2.1251, 1.6235000000000002, -... | 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... | 10 | 10 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001101001", "0010001101", "1010000101", "0101001001", "0010010101", "0100001101", "1000001101", "1000000111", "0001100011", "00... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.1044186887575012) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.62086699164525) q[1];
h q[2];
ry(-0.04832317967740758) q[3];
rz(-pi) q[3];
h q[4];
ry(1.5043802004688414) q[4];
h q[5];
ry(1.5043802004688414) q[5];
cx q[5], q[3];
ry(0.08766964893760334) q[3];
cx q[5], q[3];
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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIIZ",
"IIIZIZIIIZ",
"IIIZZIIIIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25... | 0.993724 | [
-1.62086699164525,
-1.3938278090987974,
-1.4348034981798856,
1.5043802004688414,
-1.0020042667393492,
0.7466029713197173,
-0.1753392978752067,
-0.3045979748548337,
0.4578212070017425,
-0.5218060619904213,
0.24997306403953848,
0.09313877057308015,
0.08178973406295656,
0.07313792589671532,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
a45e2c80deb776df539ab538621f261c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "... | {"states": [3583, 3327], "expectation_value": -16.12776127320319, "params": [[[-0.0024000000000000002, 2.7047000000000003], [-0.003, -0.0024000000000000002], [-1.6491, -0.0024000000000000002], [1.6017000000000001, -0.002], [0.0025, -0.0015], [-0.0019, 0.002], [-0.0035, -0.0024000000000000002], [-0.0028, -0.002900000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(11)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(11)) + -1.5 * (Z(10) @ Z(9)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(... | 15 | 12 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["001100000000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1698060870185776) q[0];
cx q[1], q[0];
rz(1.2790438539880569) q[0];
rx(0.9069033389773336) q[0];
rz(0.7165307247583241) q[1];
rx(0.9069033389773336) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.7667598670431358) q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIZZII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIZIIII... | [
-1,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.542473 | [
1.1698060870185776,
0.7667598670431358,
0.13434362156677312,
1.279043853988057,
0.7165307247583241,
0.9069033389773336
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 169 |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 28], "expectation_value": -0.3034677316440635, "params": [[0.0683, 0.06860000000000001], [-0.0693, -0.0545]], "bitstrings": ["10110", "00011"], "total_optimization_steps": 10, "probabilities": [0.036754322284306765, 0.03967042892147901], "optimization_time": 2.476012706756592} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
0,
-0.5
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
-9137179400536741309 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 7, 9], [3, 5, 6, 7, 8, 9, 10, 11], [0, 3, 6, 9, 10], [1, 11], [4, 7]]} | {"states": [1406, 1374], "expectation_value": -1.358527147146204, "params": [[[1.3298, 0.0067], [2.8945000000000003, 0.0066], [1.3030000000000002, 0.0097], [2.8795, 0.0091], [0.2793, 0.0089], [2.8787000000000003, 0.007500000000000001], [1.5623, 0.0092], [2.9024, 0.0089], [2.869, 0.0076], [2.1091, 0.006200000000000001],... | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(0)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(9) @ Z(1)) + 0.1 * (Z(9) @ Z(0)) + 0.05 * (Z(9) @ Z(2)) + 0.06785714285714287 * (Z(9) @ Z(7)) + 0.05 * (Z(3) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(7)) + 0.067857142857... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.514463868429323) q[0];
rz(-0.23616256721223905) q[0];
rx(3.337248809634808) q[1];
rz(-0.18575022228667987) q[1];
rx(0.9548495356576826) q[2];
rz(-0.14188326587921019) q[2];
rx(3.217740380859032) q[3];
rz(-0.10885222348927269) q[3];
rx(-0.08381115137934964) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIIIIZII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIIIIZII",
"IIZIZIIIIIII",
"IIIIIIIIZIIZ",
"IIIIZIIIZIII",
"IIZIIIIIZIII",
"IIIIZIZIIIII",
"IIZIIIZIIIII",
"IIIIIIZIZIII",
"IIIIIZIIIIIZ",
"IIIIZZIII... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.1,
0.05,
0.06785714285714287,
0.05,
0.017857142857142856,
0.06785714285714287,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.05,
0.017857142857142856,
0.06785714285714287,
0.06785714285714287,
0.017857142857142... | 0.978338 | [
0.514463868429323,
-0.23616256721223905,
3.337248809634808,
-0.18575022228667987,
0.9548495356576826,
-0.14188326587921019,
3.217740380859032,
-0.10885222348927269,
-0.08381115137934964,
-0.12713425815775764,
2.618176840955278,
0.16297020546335997,
1.0104596352358794,
-0.15179012942315168,... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -1.5785714285714292,
"target_ratio": 0.97,
"target_value": -1.5312142857142863
} | 11 |
9c58c5b77a3170e613a26f379fffeef6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [231, 118], "expectation_value": -28.194612110105133, "params": null, "bitstrings": ["00011000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.07864466703615744, 0.08762589898821103], "optimization_time": 170.378484249115} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(9.9081) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
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,
13.5,
5,
16.5,
19.5,
4.5,
17,
14.5,
11.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
9e72b7dd0d69a46b7f007aaed5517323 | edge_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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [25, 26], "expectation_value": -3.624930677546186, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 26, "probabilities": [1.642178064829427e-05, 0.9999653517514536], "optimization_time": 26.766523361206055} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"IZIZZI",
"IIZZZI",
"IZZIZI",
"IZZZII",
"IZZZZI",
"ZIIZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-1,
-0.125,
-0.125,
-0.125,
-0.625,
-0.5
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [192, 127], "expectation_value": -6.780793675405836, "params": [[-0.0717, -0.0548, -0.048400000000000006, -0.0424], [0.0779, 0.0646, 0.06280000000000001, 0.06430000000000001]], "bitstrings": ["00111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.02599664647653354, 0.026113180601984632]... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-3.000859291377131) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7748292037323219) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(0.7748292037323219) q[6];
cx q[4], q[6];
ry(-0.7748292037323219) q[6];
cx q[4], q[6];
cx q[6], q[2];
ry(-0.7748292037323219) q[2];
cx q[6], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIII... | [
-0.75,
-1,
-1.25,
2.25,
-1.25,
-0.75,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-1.75,
-1.25,
-2.5,
4,
-0.25,
0.5,
-0.75,
-0.25,
-1.5,
-1.25,
-0.5
] | 0.971108 | [
1.343239533146487,
1.5496584074646438,
1.363289995080834,
0.49621708094972544,
0.17364686287149478,
0.8685694332296491,
-0.9034655796711664,
0.019652428940172502,
0.07498731643459305,
0.010575954165949066,
-0.054917433053030165,
-0.5287275655163913,
0.6373367627171431,
-0.02023287143337967... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 309 |
0963943ecfb82868686868de206d3c2c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [0, 13], "expectation_value": -2.020431639181819, "params": null, "bitstrings": ["11111", "10010"], "total_optimization_steps": 20, "probabilities": [0.06312583727485936, 0.6609303434568208], "optimization_time": 10.656152725219727} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4948710520914895) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.4948710520914895) q[3];
cx q[0], q[3];
rz(-0.4948710520914896) q[3];
rx(-1.058874037423115) q[3];
h q[4];
cx q[1], q[4];
rz(0.2625528553115834) q[4];
cx q[1]... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.4449) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
0.25,
-0.25,
-0.25,
-0.25,
0.5
] | 0.618491 | [
-0.4948710520914895,
0.2625528553115834,
1.6007806305011483,
1.859838942507385,
1.4865699529568797,
-1.0588740374231147,
-0.22546151729226455,
0.8787999957155911,
3.678727237984558,
1.550791867295464,
1.2526545709057826,
-0.6302460970158399
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 418 |
b26af77c0530235f35ba0af48444065e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [650, 714], "expectation_value": -136.50376095359306, "params": [[0.0848, -0.029300000000000003, 0.0702, 0.6629, -0.031100000000000003, 0.6888000000000001, 0.4717, -0.0031000000000000003, -0.07490000000000001, 0.6396000000000001, 0.0036000000000000003, 0.6328, 0.0074], [0.0891, -0.0126, 0.0761, 0.6665, 0.073... | 8.5 * (Z(1) @ Z(3)) + 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(0) @ Z(6)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(4) @ Z(6)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(9) @ Z(6)) + 8.5 * (Z(9) @ Z(0)) + 8.5 * (Z(8) @ Z(9)) + 8.5 * (Z(10) @ Z(5)) + 8.5 * (Z(11) @ Z(2)) + 8.5 * (Z(12) @ Z(11)) + 9.5 * Z(3) + -6.0 * Z(1) + 5.0 * Z(2) + 24.5 * Z(6) ... | 10 | 13 | 4 | {"smallest_eigenvalues": [-167.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -143.0, "smallest_bitstrings": ["1110100110101"], "largest_eigenvalue": 181.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.2313717078075861) q[0];
ry(-0.0038612472181261126) q[1];
ry(-0.01739777379418965) q[2];
ry(0.48026300769867153) q[3];
ry(-0.35537420860602353) q[4];
ry(0.614585229182566) q[5];
ry(0.7733282855199546) q[6];
ry(0.08477902572363533) q[7];
ry(-0.1513982720556205) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIZIIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIIIIZZIIII",
"IIIZIIZIIIIII",
"IIIZIIIIIIIIZ",
"IIIZZIIIIIIII",
"IIZIIIIZIIIII",
"IZIIIIIIIIZII",
"ZZIIIIIIIIIII",
"IIIIIIIIIZIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIZII",
"IIIIIIZIIIIII",
"IIIIIIIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
9.5,
-6,
5,
24.5,
2,
14,
2,
15,
-3.5,
-3.5,
9.5,
-6,
-16.5
] | 0.971452 | [
0.2313717078075861,
-0.0038612472181261126,
-0.01739777379418965,
0.48026300769867153,
-0.35537420860602353,
0.614585229182566,
0.7733282855199546,
0.08477902572363533,
-0.1513982720556205,
0.3786501737027946,
-0.18064817762643895,
0.8262977128112795,
0.3077076622001338,
-0.152306931137830... | {
"n_parameters": 62,
"n_qubits": 13,
"optimal_eigenvalue": -167,
"target_ratio": 0.97,
"target_value": -161.99
} | 18 |
26c69df1cbd87e9b924a817cf8bf46fd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 362], "expectation_value": -56.041516014181084, "params": [1.199, 0.1371, 0.776, 0.22360000000000002, 1.1982000000000002, 0.0045000000000000005, 1.1941000000000002, 0.1726, 0.18050000000000002, 0.5202, 1.2009, 0.1963, 0.0016, 0.6619, 1.2081, 0.0673, 0.0033, 0.8056000000000001, 1.2023000000000001, 0.007... | 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 7.0 * Z(1) + 12.5 * Z(3) + 19.0 * Z(2) + 21.0 * Z(0) + -1.5 * Z(4) + 8.5 * Z(5) + -4.0 * Z(6) + -1.0... | 18 | 9 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 134.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.489379754035579) q[0];
rz(-0.15368444401160453) q[0];
rx(-0.06901109091992301) q[1];
rz(0.20223610164488565) q[1];
rx(1.5970477947837538) q[2];
rz(-0.0955809105587451) q[2];
rx(1.3460687810311611) q[3];
rz(0.16974681813310968) q[3];
rx(0.06431240555824613) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIZIIIIZ",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
7,
12.5,
19,
21,
-1.5,
8.5,
-4,
-1,
-6
] | 0.972324 | [
1.489379754035579,
0.25477677697501017,
-0.06901109091992301,
0.20223610164488565,
1.5970477947837538,
-0.0955809105587451,
1.3460687810311611,
0.16974681813310968,
0.06431240555824613,
0.24495177620830222,
1.2797695888365972,
0.3053756121542259,
-0.029137036690071685,
0.4834158204026695,
... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 10 |
b4764399bb7694871d7cf0cc7a871143 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -8.421297177726396, "params": [[[0.0023, 1.1741000000000001], [1.5685, -0.002], [-0.8715, 0.0006000000000000001], [-0.0027, 1.116], [-1.5658, -0.0026000000000000003]], [[0.0023, 0.0068000000000000005], [1.5694000000000001, 0.0044], [-0.8715, 0.0006000000000000001], [-0.0027, 0.0... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0026957957401774098) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.10581518505780388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.11540216108184381) q[2];
cx q[3], q[2];
rz(0.4333108148961853) q[3];
rx(0.4323375606494058) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-1,
1.25,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-3,
-0.25,
0,
2.75,
0.5
] | 0.973046 | [
-0.0026957957401774098,
0.18039228660587642,
-0.10581518505780388,
0.11540216108184381,
0.21701496465636422,
0.4333108148961855,
0.3673365099505475,
-0.4099008906290893,
-0.6505096062879676,
-0.7080263566489183,
0.43233756064940576,
-0.1223249177971326,
-0.169718764529791,
-0.0048142708149... | {
"n_parameters": 41,
"n_qubits": 5,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 22 |
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