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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 35], "expectation_value": -0.32681153681077235, "params": [[0.0799], [-0.0862]], "bitstrings": ["110110", "011100"], "total_optimization_steps": 10, "probabilities": [0.017856541151625282, 0.018328971654848876], "optimization_time": 1.2150506973266602} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-0.5,
0
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
-7856415917632805201 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 1], [3, 7], [0, 7], [0, 4], [1, 2], [3, 6], [2, 3], [0, 6], [4, 5], [2, 4]]} | {"states": [75, 180], "expectation_value": -0.07359015545549627, "params": [[-0.053700000000000005], [0.0632]], "bitstrings": ["10110100", "01001011"], "total_optimization_steps": 10, "probabilities": [0.004394321810964351, 0.004394321810964351], "optimization_time": 1.6800744533538818} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["10110100", "01001011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(-0.6389231329572599) q[5];
cx q[7], q[5];
cx q[5], q[4];
rz(-0.6389231329572599) q[4];
cx q[5], q[4];
rz(6.6652470209760395e-09) q[5];
rx(0.7853981514993927) q[5];
cx q[7], q[0];
rz(-0.638... | 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[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[7]... | null | {"circuits": [], "gradients": []} | [
"ZIZIIIII",
"ZIIIIIIZ",
"IIIIIIZZ",
"ZIIIZIII",
"IIZZIIII",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII"
] | [
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
] | 0.484294 | [
-0.6389231329572599,
6.665246991608078e-9,
0.7853981514993926
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 88 |
86f7cf811774c9dc1f8ac7ebefafd51c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [8, 9], "expectation_value": -0.0471966487591467, "params": [[-0.0477], [0.058800000000000005]], "bitstrings": ["10111", "10110"], "total_optimization_steps": 10, "probabilities": [0.03213071209231233, 0.033189212514172256], "optimization_time": 1.0050289630889893} | 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) | 1 | 5 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[1], q[2];... | 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 |
96ad00ceee3f9c4e7577fb22d2b67779 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [243, 218], "expectation_value": -19.50566688911472, "params": [[-0.035500000000000004, 0.0037], [0.07440000000000001, 0.0695]], "bitstrings": ["100001100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006105720582101916, 0.008529786538508827], "optimization_time": 6.423518896102905} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.08791191676338868) q[0];
ry(-0.33754507559349983) q[1];
rz(-pi) q[1];
h q[2];
ry(-23.54483630508895) q[2];
h q[3];
ry(14.060833410252924) q[3];
rz(-pi) q[4];
ry(-0.9826654190681591) q[4];
rz(-pi) q[5];
ry(-0.3059806607972074) q[5];
cx q[2], q[5];
ry(-4.691... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17,
0.5,
14.5,
12,
3,
14.5,
5,
11.5,
5
] | 0.970321 | [
-23.54483630508895,
-1.7344826067047194,
49.980197664918016,
9.383386224212316,
-6.271914019307241,
10.912726493420333,
29.956408283445157,
23.264278099504317,
38.151645845580276,
34.638908360457215,
0.779602309158077,
14.060833410252924,
33.81330841654803,
0.2555633208025561,
-0.0449921... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 104 |
f5d94ed048c28683c088d45a2d452aca | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 46], "expectation_value": -2.938232711322447, "params": [0.5016, 0.001, 1.6025, 0.0016, 0.4828, 0.0025, 1.6073000000000002, 0.0024000000000000002, 1.5908, 0.0011, 1.6097000000000001, 0.0014, 0.0031000000000000003, 0.0037, 0.0082, 0.001, 0.008400000000000001, 0.001, 0.0098, 0.0047], "bitstrings": ["10101... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) | 3 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010001"], "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(0.02552969185607684) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.02552969185607684) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.02552969185607684) q[2];
cx q[4], q[2];
rz(0.053037807579160656) q[4];
rx(0.03596552598350... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
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
] | 0.97526 | [
0.02552969185607684,
0.05303780757915737,
-0.932451183068515,
-0.44458931057038503,
0.7248839431352665,
0.035965525983503804,
-0.054060400986610024,
1.483589310496052,
-0.50274110913514,
-1.0054512469546093,
-1.424809320745203,
0.1323102766172392,
0.027709653532014676,
-0.3459560570964707,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 32 |
8868119259763015765 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 3, 5], [1, 2], [0, 2, 3], [2, 5]]} | {"states": [15, 14], "expectation_value": -1.207219192651824, "params": [1.0546, 0.0031000000000000003, 1.1558000000000002, 0.0025, 1.8952, -0.0017000000000000001, 1.9007, -0.0032, 1.9118000000000002, -0.0029000000000000002, 1.2574, 0.0037, 1.8698000000000001, -1.1259000000000001, 1.2784, 1.2758, 1.2788000000000002], "... | 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.3333333333333333 * Z(3) + 0.333333333... | 4 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["001110", "101010", "010101", "010001", "110001"], "largest_eigenvalue": 3.4999999... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.9849376974969309) q[0];
rz(1.6570402497690635) q[0];
rx(1.569944279358707) q[1];
rz(1.5221070789099356) q[1];
rx(2.1168918503284937) q[2];
rz(1.507283733028582) q[2];
rx(2.1721708303012006) q[3];
rz(1.6709081578155098) q[3];
rx(-3.024962909970945) q[4];
rz(1.741688... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IZIIZI",
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIIZZI",
"IIZZII",
"IIIZIZ",
"ZIIZII",
"IZIIII",
"IIIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0,
0,
0.3333333333333333,
0.3333333333333333,
0.16666666666666663,
0.16666666666666674
] | 0.985615 | [
0.9849376974969308,
0.08624392297416708,
1.569944279358707,
-0.04868924788496098,
2.1168918503284937,
-0.06351259376631485,
2.1721708303012006,
0.10011183102061308,
3.2582223972086415,
0.17089211056734818,
0.05704170011070364,
0.0936776049951992,
1.233950902787103,
0.7868343913098163,
1.... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 15 |
18eef7556e7c99f2056daf5370482c12 | 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": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -23.919252306982884, "params": [[-0.0292, -0.0187, 0.0297, 0.057100000000000005], [0.0579, 0.0546, 0.0135, -0.038900000000000004]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.007606851544149024, 0.01033901779117083], "optimiz... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.910725201830011) q[0];
rz(-pi) q[0];
h q[1];
ry(14.226814631084332) q[1];
rz(-pi) q[2];
ry(-2.8276055261302573) q[2];
rz(-pi) q[3];
ry(-0.6037335772354969) q[3];
h q[4];
ry(-2.503200618475903) q[5];
rz(-pi) q[5];
cx q[1], q[5];
ry(-0.634351839760383) q[5];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15,
5.5,
23.5,
18,
0.5,
22.5,
13,
5.5,
-1
] | 0.972353 | [
23.579116185633968,
63.12990552371649,
12.80359732253481,
14.226814631084332,
1.268703679520766,
-17.389883838771233,
4.50366295300341,
0.28630146122490274,
2.0891079396670342,
-41.664855259309064,
-18.144190662538225,
50.08291549902295,
-0.7897217290145451,
6.876816994677622,
49.5161117... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 104 |
cb984281b01d8ac3329105d04300364b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [8191, 511], "expectation_value": -60.65384383144777, "params": [[[0.0025, 0.0061], [0.0024000000000000002, 0.0014], [0.0023, 0.0025], [-1.6096000000000001, 0.0064], [-0.0025, 0.0053], [0.0025, 0.00030000000000000003], [0.0025, 0.0068000000000000005], [0.0025, 0.0013000000000000002], [0.0023, 0.0013000000000... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -3.5 * (Z(4) @ Z(6)) + 1.5 * (Z(9) @ Z(6)) + -4.0 * (Z(9) @ Z(4)) + 1.0 * (Z(11) @ Z(6)) + -4.0 * (Z(11) @ Z(4)) + 1.5 * (Z(11) @ Z(9)) + 1.0 * (Z(12) @ Z(6)) + -3.0 * (Z(12) @ Z(4)) +... | 2 | 13 | 1 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["1111000000000"], "largest_eigenvalue": 49.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.012063661107060534) q[0];
rz(-0.1081298748528785) q[0];
rx(0.21289949072926606) q[1];
rz(0.36633492810489976) q[1];
rx(-0.04161063681662452) q[2];
rz(0.012063661107060534) q[2];
rx(-2.4231120146439586) q[3];
rz(-0.10277859784144833) q[3];
rx(0.1578556353446037) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIIZIZIIII",
"IIIZIIZIIIIII",
"IIIZIIIIZIIII",
"IZIIIIZIIIIII",
"IZIIIIIIZIIII",
"IZIZIIIIIIIII",
"ZIIIIIZIIIIII",
"ZIIIIIIIZIIII",
"ZIIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIZZIII... | [
-2.5,
0.5,
-2.5,
-2,
-2.5,
1,
-3.5,
1.5,
-4,
1,
-4,
1.5,
1,
-3,
-3,
0.5,
-3.5,
1.5,
-3.5,
1,
-3.5,
1,
1,
-3.5,
-3.5,
1,
-3.5,
-4,
1.5,
-4.5,
-4,
1,
-4,
-3.5,
0.5,
0.5,
0.5,
-2.5,
0.5,
1,
-3.5,
1.5,
-2,
-1.5,
-2,
0.5,
0.5,
... | 0.978008 | [
0.012063661107060534,
-0.1081298748528785,
0.21289949072926606,
0.36633492810489976,
-0.04161063681662452,
-2.4231120146439586,
-0.10277859784144833,
0.1578556353446037,
0.1903900950213881,
0.10943888546281344,
-0.12406606847882667,
0.2153907085163556,
0.046018749720024565,
0.1066031470160... | {
"n_parameters": 18,
"n_qubits": 13,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 11 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [5, 42], "expectation_value": -0.6102952549598027, "params": [[0.0707, 0.06720000000000001, 0.0665, 0.06430000000000001], [-0.07590000000000001, -0.07060000000000001, -0.0664, -0.065]], "bitstrings": ["111010", "010101"], "total_optimization_steps": 10, "probabilities": [0.02729335509650066, 0.03390150482863... | 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(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
e0fbfdc4371baa71c9cf42bf0f74a8f2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [50, 54], "expectation_value": -4.972793244410635, "params": [0.3824, 0.0131, 0.2773, -0.0179, 0.15910000000000002, 0.0456, 0.17220000000000002, 0.0012000000000000001, 0.4071, -0.0, 0.39980000000000004, 0.0005, 0.4031, -0.002, 0.4043, 0.0004, 0.1905, 0.0334, 0.2615, -0.0155, 0.41040000000000004, -0.0011, 0.4... | 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(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 *... | 6 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["11001001"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.13486519325864726) q[0];
rz(1.278135747659567) q[0];
rx(0.10770765738938479) q[1];
rz(1.407611532067886) q[1];
rx(0.4139826169385387) q[2];
rz(1.3986887328027269) q[2];
rx(0.34819126111764737) q[3];
rz(1.5171919977242956) q[3];
rx(-0.2547097209126261) q[4];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIZI",
"IIIZIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1.5,
-1,
-0.5,
-0.5,
-1.5
] | 0.974902 | [
-0.13486519325864724,
-0.2926605791353293,
0.1077076573893848,
-0.16318479472700997,
0.4139826169385387,
-0.17210759399217013,
0.34819126111764737,
-0.05360432907060086,
-0.2547097209126261,
0.04485923014414378,
0.5683216918553062,
-0.2270441101727857,
0.3790878496883714,
0.109091959249796... | {
"n_parameters": 76,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 95 |
2551666545296015213 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 5], [1, 3, 4, 5], [1, 2, 3, 4], [1, 2, 3, 5], [0, 1, 3, 4], [0, 1, 2]]} | {"states": [27, 53], "expectation_value": -0.8332362009301694, "params": [[-0.33840000000000003], [0.34840000000000004]], "bitstrings": ["100100", "001010"], "total_optimization_steps": 40, "probabilities": [0.030878253117201535, 0.03127505419139818], "optimization_time": 3.4798994064331055} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["001010"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.9766936577527535e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-2.9766936577527535e-08) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(9.76810295451435e-09) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(9.7681029545143... | 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[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... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIIIZZ",
"IIZIZI",
"ZIIIZI",
"IZIZII",
"IZIIIZ",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.3333333333333333,
0.25,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.5416666666666666,
0.41666666666666674,
0.625,
0.375,
... | 0.944444 | [
-2.9766936577527535e-8,
9.76810295451435e-9,
1.5183658985383275e-8,
-5.6428892694132867e-8,
-1.5707962905202686,
1.5707964988326166,
1.57079642491957,
-1.5707962099102246,
-1.570796467578677,
1.5707962597620302
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 277 |
c342bef2de813f1345cbd4fd6b87e999 | 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": 7, "source": 0, "target": 1}, {"capacity": 7, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [27, 1], "expectation_value": -3.046958766101097, "params": [[0.0724], [-0.0799]], "bitstrings": ["11100100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.007491888541335661, 0.009034152206607797], "optimization_time": 2.0790867805480957} | -1.75 * (Z(0) @ Z(1)) + -3.25 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.75 * (Z(4) @ Z(0)) + 5.5 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(4)) + -1.75 * (Z(5) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.25 * Z(1) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0832683964858586) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04333263113339251) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0832683964858586) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.3245076564815849) q[4];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIIZ",
"ZIIZIIII",
"IIZIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1.75,
-3.25,
-1.75,
-1.5,
-1.75,
5.5,
-1.5,
-1.75,
-1.75,
-1.75,
-0.25,
-1.5,
-1.5,
-2.25,
-0.25,
0.25,
-1.5,
4,
-2,
1.75,
0
] | 0.935817 | [
0.0832683964858586,
-0.04333263113339251,
0.3245076564815849,
-0.20576754096395392,
0.6312116206380989,
0.8048710908471846,
0.6712060563960475,
-0.6980052307749317,
0.7479323714829692,
0.8056059620735309,
1.0163843547714837,
1.6167287627922624,
0.18033812340052247,
-0.07046647749020202,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 500 |
dd366ccc38fc70c5a69a002af9076c01 | 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": [339, 333], "expectation_value": -74.77497851776202, "params": [[[1.0974000000000002, 0.3623], [0.048, 0.3448], [1.0854000000000001, 0.3403], [0.5653, 0.4787], [0.5364, 0.5109], [0.4823, 0.6405000000000001], [0.7218, 0.2864], [0.1554, 1.0845], [0.0777, 1.0983], [0.26830000000000004, 0.4592], [-0.3885, 0.2441... | 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(10) @ Z(5)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(8) @ Z(10)) + 6.5 * (Z(9) @ Z(10)) + 6.5 * (Z(9) @ Z(8)) + 15.0 * Z(2) + 2.5 * Z(0) + 1.5 * Z(3) + 6.5 * Z(4) + ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-114.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.0, "smallest_bitstrings": ["11010110010"], "largest_eigenvalue": 163.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5926254068724848) q[0];
ry(0.07222550526607435) q[1];
ry(0.7681885665824446) q[2];
ry(0.5918329202678506) q[3];
ry(0.7464386264550545) q[4];
ry(0.15463555058697365) q[5];
ry(0.4267404112091448) q[6];
ry(0.089744637602927) q[7];
ry(-0.13048817657599968) q[8];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"ZIIIIZIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
15,
2.5,
1.5,
6.5,
4,
12.5,
1,
14,
13.5,
2.5,
-12
] | 0.971285 | [
1.5926254068724848,
0.07222550526607435,
0.7681885665824446,
0.5918329202678506,
0.7464386264550545,
0.15463555058697365,
0.4267404112091448,
0.089744637602927,
-0.13048817657599968,
-0.027220580673953557,
-0.7134197365940318,
0.3868813956068477,
0.4288782324352704,
0.1569701259533909,
0... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -114,
"target_ratio": 0.97,
"target_value": -110.58
} | 77 |
fa1aa02644db6485d126884facd8fbe5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [60, 101], "expectation_value": -0.13632605644447607, "params": [[-0.047900000000000005, -0.032100000000000004], [0.061700000000000005, 0.0468]], "bitstrings": ["1000011", "0011010"], "total_optimization_steps": 10, "probabilities": [0.008992970611253242, 0.009187135307270599], "optimization_time": 1.9561815... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010", "1001010", "1000011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0074207548089881) 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] 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[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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZIIZ",
"IZIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-0.5,
0,
0,
0
] | 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 |
6358d823634816a230e720ca61b6d85c | 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": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [14, 74], "expectation_value": -3.4963293579105, "params": null, "bitstrings": ["1110001", "0110101"], "total_optimization_steps": 25, "probabilities": [0.06705253209922088, 0.9295353182577965], "optimization_time": 19.97945499420166} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(4) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(2) + -1.0 * Z(1) + 0.0 * Z(3) + -1.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011010", "0100111", "0110101", "1110001", "1110010", "1100110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-0.02207247324767403) q[1];
ry(-0.09479312576193777) q[2];
rz(-pi) q[2];
h q[3];
ry(1.395276835769105) q[3];
h q[4];
ry(-0.5103294243504136) q[4];
cx q[0], q[4];
ry(0.5103294243504136) q[4];
cx q[0], q[4];
ry(1.026085762953225) q[0];
cx q[3], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IIIIZZI",
"IIIZIZI",
"ZZIIIII",
"IZIIZII",
"IZIIIZI",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
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,
-1
] | 0.993507 | [
-1.5802502340938167,
-1.4139438824013864,
1.395276835769105,
1.4131962305407633,
-1.0206588487008272,
0.7634182874026058,
-0.5775692525371725,
0.5253349511012384,
-0.2922583568376143,
-0.14193191029262187,
0.341857662476968,
-0.049776950304580736,
-0.12411863726314537,
0.09245339788391327,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
3536030517596435129 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5, 6, 7], [0, 1, 5, 6, 7], [1, 2, 3, 6, 7], [0, 1, 2, 6], [0, 1, 2, 3, 5], [0, 1, 3, 6], [2, 3, 4, 5, 6], [0, 4, 6], [4, 5, 7], [1, 2, 3, 5, 6], [0, 4, 5], [1, 4, 7], [2, 3, 5, 7]]} | {"states": [94, 110], "expectation_value": -1.6583588609687643, "params": [[0.26730000000000004], [-0.27290000000000003]], "bitstrings": ["10100001", "10010001"], "total_optimization_steps": 30, "probabilities": [0.010421431636268151, 0.010619896478954286], "optimization_time": 1.7763044834136963} | 0.31666666666666665 * (Z(2) @ Z(5)) + 0.23333333333333334 * (Z(6) @ Z(5)) + 0.31666666666666665 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.26666666666666666 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(2)) + 0.383333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0833333333333326, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 12.999999999999998} | 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[2];
rz(0.029820648576172143) q[2];
cx q[5], q[2];
h q[6];
cx q[5], q[6];
rz(0.01704248374380765) q[6];
cx q[5], q[6];
cx q[2], q[6];
rz(0.029820648576172143) q[6];
cx q[2], q[6];
h q[7];
cx q[5], q[7];
rz(0.0321... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZIIZII",
"IZZIIIII",
"IZIIIZII",
"ZIZIIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIZIIIIZ",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IIZIZIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIIZIZI... | [
0.31666666666666665,
0.23333333333333334,
0.31666666666666665,
0.3833333333333333,
0.21666666666666667,
0.18333333333333335,
0.26666666666666666,
0.13333333333333333,
0.3833333333333333,
0.05,
0.15000000000000002,
0.23333333333333334,
0.31666666666666665,
0.26666666666666666,
0.266666666... | 0.839619 | [
0.029820648576172143,
0.01704248374380765,
0.032104572618955135,
0.0930539376890486,
0.00973369619411554,
0.045303933120457995,
0.21067969521840327,
-0.4560622975814352,
0.000468648156604575,
0.3899154374530673,
1.0813878143844282,
-0.014542257935884388,
1.5790078233740983,
-1.096807195677... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -3.1666666666666674,
"target_ratio": 0.97,
"target_value": -3.071666666666667
} | 427 |
3453868770478524081 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 3, 5], [1, 2, 4], [2, 3, 4, 5], [0, 3], [0, 1, 2]]} | {"states": [29, 28], "expectation_value": -1.5081344926072824, "params": null, "bitstrings": ["100010", "100011"], "total_optimization_steps": 28, "probabilities": [0.06881461225840445, 0.8316146684607693], "optimization_time": 30.03285503387451} | 0.41666666666666663 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.583333333333333, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 4.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.28927123549292555) q[0];
h q[1];
ry(0.6061496724380293) q[1];
h q[2];
ry(1.536695338032202) q[2];
h q[3];
cx q[3], q[0];
ry(0.28927123549292555) q[0];
cx q[3], q[0];
ry(-0.3224274716031629) q[0];
cx q[2], q[0];
ry(0.3224274716031629) q[0];
cx q[2], q[0];
r... | 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(1.4977) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"ZIIZII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZZIIII",
"IIIZIZ",
"IIIIZZ",
"IIZIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIIIZ"
] | [
0.41666666666666663,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5833333333333333,
0.45833333333333326,
0.2... | 0.97834 | [
1.536695338032202,
-0.5785424709858511,
0.6791665658618561,
-0.6448549432063257,
0.6406346742703788,
-0.31783220939492807,
0.6061496724380293,
-0.36888134504238296,
0.49635924156167444,
-0.3847953308432568,
0.2751776699893397,
0.19622650539273573,
-0.3877691630395629,
-0.6809913700275815,
... | {
"n_parameters": 26,
"n_qubits": 6,
"optimal_eigenvalue": -1.5833333333333335,
"target_ratio": 0.97,
"target_value": -1.5358333333333334
} | 8 |
903e48fe1c017d89c939e864aea4e4cc | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "... | {"states": [95, 127], "expectation_value": -21.12490700014785, "params": null, "bitstrings": ["111110100000", "111110000000"], "total_optimization_steps": 100, "probabilities": [0.1117895472494035, 0.24079956370423292], "optimization_time": 278.4687123298645} | 1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(0) @ Z(2)) + -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + -2.5 * (Z(0) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(10) @ Z(6)) + -3.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["111110000000"], "largest_eigenvalue": 47.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.6972307601215738) q[0];
h q[1];
h q[2];
cx q[2], q[0];
ry(-0.6972307601215738) q[0];
cx q[2], q[0];
h q[3];
ry(-1.5748262938254138) q[3];
h q[4];
h q[5];
h q[6];
ry(0.7603647811771711) q[6];
h q[7];
ry(0.5890266214401988) q[7];
h q[8];
ry(0.697230760121573... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[2], 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... | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIIZIZII",
"IIIIIIIZIIZI",
"IIIIIIIZZIII",
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIZZIIIII",
"IIIZIZIIIIII",
"IIIZIIZIIIII",
"IZIIIZIIIIII",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"ZIIIIZIIIIII",
"ZIIIIIZII... | [
1,
-2,
0.5,
1,
1,
0.5,
-3,
-2.5,
0.5,
-2.5,
-3,
-3,
-3.5,
-2.5,
-3,
1.5,
0.5,
-3,
1,
0.5,
-2.5,
1.5,
-3,
-2.5,
0.5,
1,
-3,
-2,
0.5,
-2.5,
-2.5,
-2,
-2.5,
2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.929908 | [
1.3944615202431476,
-1.5748262938254138,
1.5207295623543422,
2.8518488019023156,
-0.13835374019034058,
-1.4504549518091114,
1.1780532428803976,
1.544542849855354,
-0.06224342035786717,
0.09271257113234396,
-0.07052416161594459,
0.1269860362517684,
-1.094056017252219,
1.670290778081099,
0... | {
"n_parameters": 97,
"n_qubits": 12,
"optimal_eigenvalue": -40.5,
"target_ratio": 0.97,
"target_value": -39.285
} | 500 |
0fcc1a24f94fd2a8b4a107178db6be3d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [69, 38], "expectation_value": -0.2565658587834587, "params": [[0.0639, -0.0027], [-0.0584, -0.027600000000000003]], "bitstrings": ["0111010", "1011001"], "total_optimization_steps": 10, "probabilities": [0.008941805342332238, 0.00894180534233224], "optimization_time": 2.810978889465332} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(1) + -1.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011001", "0111010", "1111000", "0011011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003329952575220962) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.003329952575220962) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.003329952575220962) q[5];
cx q[0], q[5];
rz(0.2271403800727576) q[0];
rx(-1.5668... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIIZIII",
"IIZIZII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
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,
-0.5
] | 0.821768 | [
0.003329952575220962,
-1.5708316330529057,
0.2271403800727576,
-0.07902505467877949,
-1.5668304537158142,
1.5736423638586798,
-0.03548527954890518,
-1.5747194547938785,
-3.1472492563193653,
-0.4467237359589419
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 390 |
bd840c67c60de5e8a0e6837e43896a66 | 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": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [119, 127], "expectation_value": -6.663532538423466, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 78, "probabilities": [0.1829048044125119, 0.5236471156154194], "optimization_time": 123.3744626045227} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.35990459281439513) q[0];
ry(0.023198227495002326) q[1];
ry(-0.34517053290632227) q[2];
ry(-0.07570776039062659) q[3];
ry(-0.3300671927820766) q[4];
ry(0.07912328524283957) q[5];
ry(-0.12769810895159228) q[6];
ry(2.542770934701043) q[7];
cx q[7], q[0];
cx q[6], q[7]... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IZIZIIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII"
] | [
-1,
-0.5,
-1,
1.75,
-1.5,
-0.75,
-0.5,
-1,
-1.5,
-1.75,
-0.75,
1,
-0.25,
-1.25,
-0.75,
0.25,
-2,
2.25,
0.75
] | 0.971343 | [
0.35990459281439513,
0.023198227495002326,
-0.34517053290632227,
-0.07570776039062659,
-0.3300671927820766,
0.07912328524283957,
-0.12769810895159228,
2.542770934701043,
0.13639105111281324,
0.06582778734862514,
0.014480851916113589,
0.018346416700780566,
0.004479335725910791,
0.2717194537... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 35 |
8fa85228f1ab3b361f2e7e3b3150e795 | 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": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [0, 487], "expectation_value": -9.805998596850246, "params": [-0.057100000000000005, 1.3596000000000001, 0.1555, 0.3597, 0.761, 0.6006, 0.16640000000000002, 1.7999, 0.8147000000000001, 1.1864000000000001, 0.0709, 1.3617000000000001, 0.8153, 0.9865, -0.1109, 1.4474, 0.012100000000000001, 1.1537, 0.00060000000... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) | 6 | 9 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9952456547999777) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.32439118944162554) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.8631878032498951) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.32439118944162537) q[2];
rx(0.9475125628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.497648 | [
0.9952456547999777,
0.32439118944162554,
0.8631878032498951,
1.1537434448074644,
0.9475125628779709
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 174 |
-5282272642115059184 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2, 4], [1, 4], [1, 3]]} | {"states": [7, 28], "expectation_value": -0.4419861651180388, "params": [[0.3763], [-0.35860000000000003]], "bitstrings": ["11000", "00011"], "total_optimization_steps": 40, "probabilities": [0.06557769166850058, 0.06610798440741435], "optimization_time": 0.8243005275726318} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * Z(2) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.39246190216891075) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.39246190216891075) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.39246190216891064) q[2];
rx(-0.7904077654736961) q[2];
rz(0.39246190216891075) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[4], q[... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"ZIZII",
"ZIIIZ",
"ZIIZI",
"IZIZI",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IZIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0
] | 0.598348 | [
0.39246190216891075,
0.9902816556859535,
-0.06318082892020027,
-0.790407765473696
] | {
"n_parameters": 4,
"n_qubits": 5,
"optimal_eigenvalue": -1.3333333333333335,
"target_ratio": 0.97,
"target_value": -1.2933333333333334
} | 114 |
c9c78c5b8e0c734df7d98b4ae5d6e5a1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -9.080642830306987, "params": [0.0913, 0.050100000000000006, 0.0424, 0.0222, -0.002, 0.3104, 0.006, 0.316, -0.0006000000000000001, 0.31, 0.0077, 0.2816, 0.4091, -0.0016, 0.4058, -0.0014, 0.005, 0.30410000000000004, -0.0024000000000000002, 0.3057, 0.0025, 0.30860000000000004, 0.... | -0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(9) @ Z(5)) + -0.5 * (Z(9) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(... | 6 | 12 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.10198780842822351) q[0];
rz(1.7062492082013492) q[0];
rx(0.029196255691958172) q[1];
rz(1.8867207499124934) q[1];
rx(0.05395466053615297) q[2];
rz(2.046149076197672) q[2];
rx(0.581628584774799) q[3];
rz(1.5126762394126727) q[3];
rx(-0.03110674530525092) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IZIIIIZIIIII",
"IZIIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIZIIIIZI",
"IIZIIIZIIIII",
"IIZIIIIIIIZI",
"IIIIIIIIIZZI",
"IIZIIIIIIZII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIZIIIIIZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"ZZIIIIIII... | [
-0.5,
-0.25,
-0.5,
1.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
0.25,
0.75,
0,
-0.5,
-0.75,
1,
0,
-0.75
] | 0.982141 | [
-0.1019878084282235,
0.1354528814064529,
0.029196255691958176,
0.3159244231175964,
0.053954660536152985,
0.47535274940277483,
0.5816285847747988,
-0.058120087382224114,
-0.03110674530525092,
0.5208756309537751,
-0.08598272594684314,
0.5478579742410051,
0.11044211934855713,
0.26144662033652... | {
"n_parameters": 110,
"n_qubits": 12,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 8 |
9c35af834c4afdbeb26c716a2c76ebbb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1352, 1864], "expectation_value": -135.00715914793668, "params": [[[0.5676, 0.0013000000000000002], [1.5912000000000002, 0.2871], [0.8764000000000001, 0.4262], [1.5804, 1.0551000000000001], [0.0029000000000000002, 0.9973000000000001], [0.037000000000000005, 1.2815], [-0.17550000000000002, 1.5779], [-0.09230... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) ... | 15 | 12 | 2 | {"smallest_eigenvalues": [-180.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -157.5, "smallest_bitstrings": ["100010110111"], "largest_eigenvalue": 278.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.04481252613613069) q[0];
rz(-0.16316476439337002) q[0];
rx(2.823605085495812) q[1];
rz(0.023717232841425254) q[1];
rx(3.0757026859266863) q[2];
rz(-0.2383877375818393) q[2];
rx(3.275755460674703) q[3];
rz(-0.04481252613613068) q[3];
rx(0.5965883065070263) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIZIIZI",
"IIIIIIIZIZII",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZZIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIZIIIIIIIZI",
"IZIIIIIIIZII",
"ZIIIIIIIZIII",
"IIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
29.5,
29.5,
16,
28,
39.5,
3.5,
14.5,
-6.5,
-4.5,
-6.5,
-5.5,
-13.5
] | 0.975342 | [
-0.04481252613613068,
-0.2072291494369372,
2.823605085495812,
0.023717232841425254,
3.0757026859266863,
-0.2383877375818393,
3.275755460674703,
0.5965883065070263,
-0.10431173650920217,
3.189653228479879,
0.215246783524162,
0.030761977595482937,
-0.09304242244801583,
-0.105139540435648,
... | {
"n_parameters": 30,
"n_qubits": 12,
"optimal_eigenvalue": -180.5,
"target_ratio": 0.97,
"target_value": -175.085
} | 10 |
833c89e8aca800e5707fb47ea63f9088 | 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": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 46], "expectation_value": -0.06417498315301556, "params": [[0.0621], [-0.058300000000000005]], "bitstrings": ["011100", "010001"], "total_optimization_steps": 10, "probabilities": [0.01675152591553067, 0.016772464811943194], "optimization_time": 0.8996658325195312} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | 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[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
0,
0
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
ed01866ce53def5a36a69737a2fd120b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [115, 123], "expectation_value": -4.4185923870685855, "params": null, "bitstrings": ["10001100", "10000100"], "total_optimization_steps": 59, "probabilities": [0.16476189183352727, 0.6119730066251393], "optimization_time": 75.08746433258057} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.129145857303265) q[0];
rz(-0.04281809130716757) q[0];
rx(3.3646756556499158) q[1];
rz(-0.07126208372567235) q[1];
rx(0.2591409259719783) q[2];
rz(0.304554161903536) q[2];
rx(0.009149764329273965) q[3];
rz(-0.1564246855355176) q[3];
rx(-0.039435622912399666) q[4];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.25,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0,
-1,
0.25,
0.25,
0.25,
0.5
] | 0.974438 | [
-0.129145857303265,
-0.04281809130716757,
3.3646756556499158,
-0.07126208372567235,
0.2591409259719783,
0.304554161903536,
0.009149764329273965,
-0.1564246855355176,
-0.039435622912399666,
-0.14455685554995432,
0.29369761094609903,
2.532166941005374,
-0.020718965674505502,
3.10609841605757... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
4710468829905425980 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 6, 8, 9], [0, 3, 4, 6, 8, 9], [0, 1, 4, 5, 6, 8], [0, 2, 4, 6, 7, 8], [0, 9, 2], [1, 3, 5, 6], [0, 2, 3, 6, 7, 8], [0, 2, 3, 4, 5, 6, 7], [0, 1, 4, 6, 8, 9], [1, 2, 4, 5, 6, 7, 8], [8, 2, 3, 4], [1, 4, 5, 8, 9]]} | {"states": [1005, 493], "expectation_value": -1.8135355303606795, "params": [1.2375, 0.2664, 0.9753000000000001, 0.0079, 1.2425000000000002, 0.1403, 1.1964000000000001, 0.006900000000000001, 1.2468000000000001, 0.21680000000000002, 1.0917000000000001, 0.0053, 1.2178, 0.1404, 1.1976, 0.0025, 1.2535, 0.17300000000000001,... | 0.07380952380952381 * (Z(1) @ Z(2)) + 0.16428571428571428 * (Z(6) @ Z(2)) + 0.22380952380952382 * (Z(6) @ Z(1)) + 0.2238095238095238 * (Z(8) @ Z(2)) + 0.19047619047619047 * (Z(8) @ Z(1)) + 0.24047619047619045 * (Z(8) @ Z(6)) + 0.21666666666666667 * (Z(9) @ Z(2)) + 0.13333333333333336 * (Z(9) @ Z(1)) + 0.116666666666666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-2.5142857142857142], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4642857142857144, "smallest_bitstrings": ["1000010010"], "largest_eigenvalue": 12.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1650788331243644) q[0];
rz(0.8798441825156971) q[0];
rx(2.029608394912888) q[1];
rz(-0.002178510315809401) q[1];
rx(2.427130704831966) q[2];
rz(0.5676990761646779) q[2];
rx(1.716263119840788) q[3];
rz(0.25073656702686176) q[3];
rx(1.5409965210498457) q[4];
rz(1.01... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIZIIIZII",
"IIIZIIIIZI",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIZIIIIII",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIZIIIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIZIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII"... | [
0.07380952380952381,
0.16428571428571428,
0.22380952380952382,
0.2238095238095238,
0.19047619047619047,
0.24047619047619045,
0.21666666666666667,
0.13333333333333336,
0.11666666666666667,
0.16666666666666669,
0.2571428571428571,
0.06666666666666667,
0.19047619047619047,
0.16666666666666666... | 0.973151 | [
0.1650788331243644,
0.5595554066037868,
2.029608394912888,
-0.041363148588182526,
2.427130704831966,
0.5806451452681674,
1.716263119840788,
0.21824678356227337,
1.5409965210498457,
1.0716266242378325,
1.2777718414697468,
-0.8765596911034187,
1.8624754652916602,
0.4447032653725478,
0.3047... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -2.5142857142857142,
"target_ratio": 0.97,
"target_value": -2.4388571428571426
} | 94 |
8abcecb9be692ba9d31a27398366ffa4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -10.999987376440629, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 21, "probabilities": [1.2623559254683014e-05, 0.9999873764407292], "optimization_time": 19.597529888153076} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5490827494225263) q[0];
rz(-pi) q[1];
ry(-0.28233305796915187) q[1];
h q[2];
ry(-1.5490827494225263) q[2];
h q[3];
ry(-1.5490827494225263) q[3];
h q[4];
ry(-1.5490827494225263) q[4];
h q[5];
ry(-1.5490827494225263) q[5];
h q[6];
ry(1.5893740482243686) q[6]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.75,
2,
-0.25,
0.75,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
1.75
] | 0.997733 | [
1.5893740482243686,
-1.5490827494225263,
-1.8450825844559562,
-0.01609360061618495
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
6913e77a092e6b8e92c97148a6d379f5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [52, 54], "expectation_value": -1.5695145518136733, "params": [0.0025, 0.006900000000000001, 1.6127, 0.0071, 1.6022, 0.0048000000000000004, 0.9871000000000001, 0.0036000000000000003, 1.613, 0.0092, 1.6022, 0.0034000000000000002, 0.0021000000000000003, 0.009600000000000001, 0.0015, 0.0026000000000000003, 0.00... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.... | 18 | 7 | 1 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001001"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IIZZIZI",
"IZIZIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZIZII",
"ZIZIZII",
"ZZIIZII",
"ZZZIIII",
"ZZZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.75,
0,
0.125,
-0.25,
0.125,
-0.125,
-0.625
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
8ea4bcc4df3e10de0c557d9b64e2ab10 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [0, 193], "expectation_value": -17.0209815190807, "params": [-0.062400000000000004, -0.2018, 0.0853, -0.1398, -0.0105, 0.9343, 0.0099, 0.9577, 0.45780000000000004, 0.10980000000000001, 0.4803, -0.16970000000000002, -0.4157, 1.0804, 0.4333, 0.536, -0.0367, 0.5364, 0.0187, 0.7911, -0.0673, 0.42600000000000005,... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @... | 6 | 10 | 2 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["1100111110"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.07492664217678363) q[0];
rz(1.7614927903686137) q[0];
rx(0.020430163044854975) q[1];
rz(2.1141233976630804) q[1];
rx(0.5043765003119409) q[2];
rz(1.4321340527992916) q[2];
rx(-0.5153130145733165) q[3];
rz(2.1330373066288644) q[3];
rx(-0.026372962808336606) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIIIIZZII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIZIIII"... | [
-0.25,
-1,
-0.75,
-1,
-1.5,
-1.25,
-0.5,
-0.25,
-1,
-0.25,
-1.25,
-0.5,
-0.5,
-0.75,
-0.5,
-1.5,
-0.75,
-1.25,
2.25,
-0.5,
-0.75,
2,
-0.25,
0,
0,
-1.25,
0,
-0.5,
0.25,
0,
-0.25
] | 0.97539 | [
-0.07492664217678363,
0.19069646357371633,
0.020430163044854975,
0.5433270708681835,
0.5043765003119409,
-0.13866227399560505,
-0.5153130145733166,
0.5622409798339681,
-0.026372962808336606,
0.6731554899271923,
-0.04439183815517753,
0.627447056358518,
0.13040063262318008,
0.324396683318380... | {
"n_parameters": 99,
"n_qubits": 10,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 99 |
da3c81488557dc57e6e1f0bd43d65336 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [36, 37], "expectation_value": -1.4685910951701948, "params": [[[1.6621000000000001, 0.0013000000000000002], [0.4441, 0.0029000000000000002], [0.4259, 0.0059], [1.6707, 0.0083], [0.441, 0.0068000000000000005], [1.6498000000000002, 0.0074]]], "bitstrings": ["011011", "011010"], "total_optimization_steps": 180... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["100101", "011010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"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
] | 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 |
-1730963572985351310 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 3], [1, 3]]} | {"states": [1, 14], "expectation_value": -1.2941021212470392, "params": null, "bitstrings": ["1110", "0001"], "total_optimization_steps": 20, "probabilities": [0.05995960809388086, 0.8249764027898925], "optimization_time": 10.979207515716553} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1110", "0001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(0.6516252283271194) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5651678825638844) q[3];
cx q[2], q[3];
ry(0.5651678825638844) q[3];
cx q[2], q[3];
ry(-0.3787680755853376) q[3];
cx q[1], q[3];
ry(0.3787680755853376) q[3];
cx q[1], q[3];
ry(0.6627218298973283) q[1];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"ZZII",
"ZIIZ",
"ZIZI",
"ZIII",
"IZII",
"IIIZ",
"IIZI"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.970124 | [
-1.1303357651277688,
1.163573696975295,
-0.7575361511706752,
1.3254436597946566,
1.3032504566542389,
-0.9832187679048271,
0.3681460383360275,
0.8792578069532032,
0.20205117594499303,
-1.1965369036562135,
-0.2344660156026632,
-0.4493470586237004,
0.4457105996349823,
0.016720756556157124,
... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 28 |
3cfba9b8e6135f1a74b155ada7fa97bf | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [1919, 4095], "expectation_value": -17.176888712489095, "params": null, "bitstrings": ["100010000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.06626711431908476, 0.3707380330674401], "optimization_time": 248.8274416923523} | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.5364236176608242) q[0];
h q[1];
ry(0.5364236176608242) q[1];
h q[2];
h q[3];
ry(0.5364236176608242) q[3];
cx q[2], q[3];
ry(-0.5364236176608242) q[3];
cx q[2], q[3];
ry(1.0471033682099957) q[2];
ry(1.1799635864490383) q[3];
cx q[3], q[1];
ry(-0.53642361766... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[2], 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... | [
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIIZIZI",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIII... | [
-2,
1,
-2,
0.5,
0.5,
-2.5,
1,
-2.5,
-2,
-2,
-2,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5
] | 0.944873 | [
1.0728472353216485,
-0.2161928016189699,
2.0062486070660928,
1.1799635864490383,
0.3310896616864816,
0.4747460921985666,
0.4383431537863788,
1.0188824560981034,
0.5117862021751786,
0.8010031005234737,
3.0748932860920593,
2.526592339657931,
-1.595348408476717,
-1.2518135391804859,
1.05947... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 500 |
e92ce8fa25db39ba04f721102646d9a7 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [214, 198], "expectation_value": -4.434741594539258, "params": [0.8894000000000001, -0.006900000000000001, 0.8389000000000001, -0.0463, 0.1804, -0.26, 0.48750000000000004, -0.24600000000000002, 0.043000000000000003, -0.3089, 0.8344, -0.0, 0.8978, 0.0013000000000000002, -0.0027, -0.5075000000000001, 0.8931, -... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + -1.5 * Z(7) + 0.0 * Z(6) + -0.5... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01101001", "01001011", "00111001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.9801932871627524) q[0];
rz(1.471390980564304) q[0];
rx(1.1486050897122344) q[1];
rz(1.640633442340965) q[1];
rx(0.14617064821639847) q[2];
rz(1.4236710286384637) q[2];
rx(0.1471703970444453) q[3];
rz(1.254681922204786) q[3];
rx(0.16040190627445855) q[4];
rz(1.25352... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZIIIZ",
"IIIZIZII",
"IIIIIZZI",
"IIIIZIZI",
"ZIIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"IZIIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-0.5,
-1.5,
0,
-0.5
] | 0.970378 | [
0.9801932871627526,
-0.09940534623059233,
1.1486050897122342,
0.06983711554606814,
0.1461706482163985,
-0.14712529815643266,
0.14717039704444523,
-0.31611440459011053,
0.16040190627445855,
-0.31726909497774436,
0.5119420297090596,
-0.10663611405872818,
1.0885977470930095,
0.018398188140210... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
351f46008c2fa6d2dfb6c8e40fb9b957 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [21, 28], "expectation_value": -4.496398053155684, "params": null, "bitstrings": ["1101010", "1100011"], "total_optimization_steps": 31, "probabilities": [0.06635227233402181, 0.930326732686416], "optimization_time": 21.976420640945435} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(5) + 0.0 * Z(3) | 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": ["1101010", "0110101", "1010101", "1100011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.02360863634851629) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6025832086286227) q[1];
h q[2];
ry(1.5359581859684985) q[2];
h q[3];
h q[4];
ry(1.5359581859684985) q[4];
cx q[4], q[0];
ry(0.13101347429035654) q[0];
cx q[4], q[0];
ry(0.06662405253547206) q[0];
rz(-pi) q[5];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-1,
-1,
0
] | 0.996003 | [
-1.6025832086286227,
-1.6617063127341019,
-1.4161742161560238,
1.5359581859684985,
-1.14681967659647,
0.7822968069285475,
-0.26202694858071307,
-0.29365619199419124,
0.6362347573183261,
-0.4206669012927168,
0.26387033649728336,
-0.19180926143591331,
0.17578383679714263,
0.18814493391960324... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
e0219859fe5323da900386888c160b89 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1937, 1681], "expectation_value": -77.44296029065399, "params": [-0.0046, 0.3831, 0.6047, -0.0009000000000000001, 0.5977, 0.0682, 0.3608, 0.1481, 0.6008, -0.0489, 0.3478, -0.1058, -0.020200000000000003, 0.38530000000000003, 0.6011000000000001, 0.09770000000000001, -0.013800000000000002, 0.3285, 0.3272, -0.0... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(11) @ Z(5)) + 7.5 * (Z(10) @ Z(11)) + 6.0 * Z(1) + -5.0 * Z(0) + 3.5 * Z(3) + 15.5 * Z(2) + 15.0 * Z(4) + 3.0 * Z... | 18 | 12 | 4 | {"smallest_eigenvalues": [-124.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.5, "smallest_bitstrings": ["100101101110"], "largest_eigenvalue": 126.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.05044113729581765) q[0];
rz(0.10895762454071356) q[0];
rx(0.9662652431374962) q[1];
rz(-0.05796492091981535) q[1];
rx(0.5133917768401993) q[2];
rz(0.1596386430723702) q[2];
rx(-0.3567023004315801) q[3];
rz(0.4065957261141265) q[3];
rx(1.0882168841658875) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IIZIIIIIIZII",
"IIZIIIIZIIII",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"IIIIZIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
6,
-5,
3.5,
15.5,
15,
3,
7.5,
-4,
-4,
2.5,
6,
-3
] | 0.975265 | [
0.05044113729581765,
0.08975805825167985,
0.9662652431374962,
-0.05796492091981535,
0.5133917768401993,
0.1596386430723702,
-0.3567023004315801,
0.4065957261141265,
1.0882168841658875,
0.12931637987038386,
0.15287839630186045,
-0.3015500181220715,
0.04910778281778294,
-0.01701441775636728,... | {
"n_parameters": 135,
"n_qubits": 12,
"optimal_eigenvalue": -124.5,
"target_ratio": 0.97,
"target_value": -120.765
} | 21 |
3004355c8615a6969336e2d6fce36811 | 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": [1857, 835], "expectation_value": -37.943045223615144, "params": [[[0.3433, 0.2837], [0.49560000000000004, 0.4509], [0.5032, 0.3027], [0.1666, 0.49100000000000005], [0.5019, 0.49100000000000005], [0.16, 0.4868], [-0.029, 0.2807], [0.438, 0.39490000000000003], [-0.0926, 0.28190000000000004], [0.4995, 0.474500... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(10) @ Z(3)) + 6.5 * (Z(10) @ Z(9)) + 6.5 * (Z(10) @ Z(8)) + 7.5 * Z(0) + 8.5 * Z(1) + 6.0 * Z(2) + 5.0 * Z(3) + 1... | 15 | 11 | 4 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.0, "smallest_bitstrings": ["10010111100"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.21499906551039377) q[0];
ry(0.9243647732108831) q[1];
ry(1.4943287245062826) q[2];
ry(-0.5059277039667162) q[3];
ry(0.6918105534469701) q[4];
ry(0.3653308060415155) q[5];
ry(0.10606528482726885) q[6];
ry(0.8672665540919199) q[7];
ry(-0.19887503195263628) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IZIIIIIIIIZ",
"IZIIIIZIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
7.5,
8.5,
6,
5,
16.5,
2.5,
-2,
19,
0.5,
13.5,
-10
] | 0.973382 | [
-0.21499906551039377,
0.9243647732108831,
1.4943287245062826,
-0.5059277039667162,
0.6918105534469701,
0.3653308060415155,
0.10606528482726885,
0.8672665540919199,
-0.19887503195263628,
1.0784191733619877,
0.9228959371614691,
0.036438787468490386,
0.0595290860408816,
0.00019052188531400172... | {
"n_parameters": 86,
"n_qubits": 11,
"optimal_eigenvalue": -112,
"target_ratio": 0.97,
"target_value": -108.64
} | 109 |
5617504790336931541 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3], [0, 1, 2], [2, 5, 6], [0, 1, 4, 6], [3, 4, 5, 6], [1, 4, 5, 6], [2, 3, 5]]} | {"states": [54, 93], "expectation_value": -0.7290144981064014, "params": [[-0.2871], [0.2791]], "bitstrings": ["1001001", "0100010"], "total_optimization_steps": 30, "probabilities": [0.017315693063646657, 0.017673514786791203], "optimization_time": 1.2710022926330566} | 0.5 * (Z(1) @ Z(3)) + 0.25 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0833333333333335, "smallest_bitstrings": ["0100010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.8288491487291649) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(-1.7201200652068694e-08) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-1.3189733822363472e-08) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(-1.3189733822363472e-08) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"IIIIIZZ",
"IIIZZII",
"IIIIZZI",
"IIIIZIZ",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"ZIIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZZIIIII",
"IIZZIII",
"IIZIIZI",
"IIZIIIZ",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZ... | [
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333... | 0.870747 | [
-0.8288491487291649,
-1.7201200652068694e-8,
-1.3189733822363472e-8,
4.519545342149926e-8,
2.2984806894744885e-8,
-1.5707962647825642,
1.5707964129935132,
1.5707965833897286,
-1.5707964294040495,
-1.57079634534896,
1.5707963266398675
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -2.166666666666666,
"target_ratio": 0.97,
"target_value": -2.101666666666666
} | 263 |
9e8a866d2c0011b6946d4c64e758f31c | 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": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1382, 2713], "expectation_value": -0.014792273269996664, "params": [[0.07200000000000001], [-0.0694]], "bitstrings": ["101010011001", "010101100110"], "total_optimization_steps": 10, "probabilities": [0.00025905640627190335, 0.0002590564062719034], "optimization_time": 5.112097501754761} | 0.25 * (Z(0) @ Z(1)) + -0.000390625 * (Z(2) @ Z(0)) + -0.000390625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000390625 * (Z(6) @ Z(2)) + 0.... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5109375000000003, -1.5109375000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5105468749999997, "smallest_bitstrings": ["101010011001", "010101100110"], "largest_eigenvalue": 1.51328125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.000390625,
-0.000390625,
0.25,
-0.0009765625,
-0.00078125,
-0.0009765625,
-0.00078125,
0.25,
0.00087890625,
-0.000390625,
0.0005859375000000001,
0.00087890625,
-0.000390625,
0.0005859375000000001,
0.25,
-0.0006835937500000001,
-0.000390625,
0.0005859375000000001,
-0.00... | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
e9e1c3bad7671d416f508c960af260f6 | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -0.2850508130426134, "params": [[0.07540000000000001], [-0.0825]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010158541925407836, 0.010259355915978818], "optimization_time": 1.6660678386688232} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5744169391312657) q[0];
h q[1];
ry(-0.05753664395928477) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.024728804110098233) q[3];
ry(-0.05753664395928477) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5744169391312657) q[5];
h q[6];
ry(1.5912199140774594) q[6];
cx q[6], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
1.5,
0.25,
-0.25,
0,
-1,
0.25,
-0.5,
1.25
] | 0.999378 | [
1.5912199140774594,
-1.5744169391312657,
-1.485651063635235,
-1.5624441216083338,
-0.06616201859332208,
-0.05521723840075406
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
03ff3a7533d396b93efc645d4aae3cbe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [454, 244], "expectation_value": -14.431357271173743, "params": [[-0.037200000000000004, 0.055600000000000004], [0.0726, -0.030000000000000002]], "bitstrings": ["000111001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.004779558129099949, 0.005301211721685024], "optimization_time": 3.371... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.10304971759109) q[0];
rz(-pi) q[0];
ry(-0.24410310415688244) q[1];
rz(-pi) q[1];
h q[2];
ry(8.240891103426156) q[2];
cx q[2], q[1];
ry(22.223176400538815) q[1];
cx q[2], q[1];
ry(-13.10126796190722) q[1];
ry(12.694351918652945) q[2];
rz(-pi) q[3];
ry(-2.5393297900... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
20,
14,
19,
16.5,
5.5,
5.5,
14,
2,
0.5
] | 0.979637 | [
-4.236258050817545,
8.240891103426156,
-44.44635280107763,
10.92177445155632,
23.78718800876833,
29.079093892187462,
-26.20253592381444,
25.38870383730589,
-6.828198545345845,
0.9101744701734394,
0.6023915406110187,
0.10875931289913231,
0.8269743797419378,
-0.03591519098931931,
0.0849196... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 128 |
8b9699e184b2dee4b86c87a62e9c7e5c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [0, 1], "expectation_value": -9.244736010326054, "params": [0.0028, 0.3745, 0.004, 0.46230000000000004, 0.0014, 0.4475, 0.0016, 0.45570000000000005, 0.0038, 0.4324, 0.0031000000000000003, 0.45030000000000003, 0.0024000000000000002, 0.385, 0.6091, -0.001, 0.0024000000000000002, -0.2841, 0.0009000000000000001,... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 4 | 8 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0844300752616571) q[0];
rz(2.1139387912759435) q[0];
rx(-0.1498790866820462) q[1];
rz(2.0836137185059904) q[1];
rx(0.057079340349078155) q[2];
rz(1.904948933670651) q[2];
rx(0.06516424781021761) q[3];
rz(2.045016475467456) q[3];
rx(0.05617938885140029) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIZZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIII... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
1.5,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-2,
-0.25,
0.75,
0.75,
0.5,
-0.5,
0.25,
0.5
] | 0.977946 | [
-0.0844300752616571,
0.5431424644810464,
-0.1498790866820462,
0.5128173917110932,
0.05707934034907815,
0.3341526068757544,
0.06516424781021762,
0.4742201486725591,
0.0561793888514003,
0.30027713590591465,
-0.019864683485527335,
0.4609679127881336,
0.03382695698344525,
0.3864669591794765,
... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 4 |
2e72b2edf6aca865187ef12ca566f747 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2},... | {"states": [2032, 2039], "expectation_value": -3.2827826529372564, "params": [[-0.061000000000000006], [0.0752]], "bitstrings": ["00000001111", "00000001000"], "total_optimization_steps": 10, "probabilities": [0.001005545368432861, 0.0010357081403543963], "optimization_time": 4.088111400604248} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + -3.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(5)) + 1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-34.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.0, "smallest_bitstrings": ["00000001000"], "largest_eigenvalue": 36.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.5995777016457824) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5995777016457824) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5995777016457824) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.5995777016457824) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], ... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIZZIIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIIIZII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIZZIII",
"ZIZIIIIII... | [
-3,
-3,
-3,
-3,
-2,
-3,
-3.5,
1,
-3.5,
1,
-3,
1,
-3,
1,
1,
0.5,
0.5,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1.5,
-1
] | 0.552989 | [
0.5995777016457824,
0.6791676183515896,
0.5092541337971132,
0.35138259582950904,
0.06692386138578374,
1.0797700719318792,
1.5949443573803992,
1.0382962844312205
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -34,
"target_ratio": 0.97,
"target_value": -32.98
} | 220 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [988, 1623], "expectation_value": -0.1641171975453024, "params": [[0.0201, -0.0439], [-0.0368, 0.038900000000000004]], "bitstrings": ["10000100011", "00110101000"], "total_optimization_steps": 10, "probabilities": [0.0005250590516025817, 0.0005250590516025817], "optimization_time": 8.50637674331665} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 1 | 11 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 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[11] c;
qubit[11] q;
h q[0];
h q[1];
... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
-3515313468648920549 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2], [0, 1], [2, 3]]} | {"states": [10, 9], "expectation_value": -1.3448396588962441, "params": null, "bitstrings": ["0101", "0110"], "total_optimization_steps": 18, "probabilities": [0.0562534267794353, 0.848595631511367], "optimization_time": 7.86807656288147} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
ry(0.0009655534719268388) q[1];
cx q[0], q[1];
ry(-0.0009655534719268388) q[1];
cx q[0], q[1];
ry(1.4946514813695249) q[0];
ry(-1.1725483571313573) q[1];
h q[2];
ry(0.0009655534719268388) q[2];
h q[3];
cx q[3], q[2];
ry(-0.0009655534719268388) q[2];
cx q... | 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[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"IZIZ",
"IIZZ",
"ZZII",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.9811 | [
0.0019311069438536776,
1.4946514813695249,
-0.9686733857930647,
0.9753917279530022,
-1.0840067218569032,
0.8330098662285598,
-0.005047982430457981,
-0.469608560696514,
-0.4077499426765854,
-0.4369829906345078,
-0.10205747244752456,
-0.29480593956001994,
-0.32277953856699737,
0.087811122394... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 14 |
4e1e131ba2ff0afb42d5840cf309482d | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -17.736353996513056, "params": [0.0053, 0.33940000000000003, -0.0024000000000000002, -0.23820000000000002, 0.0009000000000000001, 0.4617, 0.0016, 0.4539, 0.5959, 0.007, 0.0009000000000000001, 0.43960000000000005, 0.0018000000000000002, 0.44260000000000005, 0.6012000000000001, 0.0... | -1.25 * (Z(0) @ Z(2)) + -2.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(1) @ Z(6)) + -2.0 * (Z(5) @ Z(2)) + -1.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z... | 3 | 8 | 3 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11110110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.2989310394956284) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.02662389232648926) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.06709085043684684) q[6];
cx q[0], q[6];
h q[7];
cx q[2], q[7];
rz(0.0092121... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IIZIIZII",
"IZZIIIII",
"IIZIIIZI",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZII... | [
-1.25,
-2,
-1,
-0.25,
2.5,
-0.25,
-1.25,
-2,
-1.75,
-0.5,
-0.75,
-2,
-1.5,
-0.5,
-1.25,
-0.25,
0.25,
-0.25,
-0.75,
0.75,
-0.5,
-2.25,
-0.75,
3.5
] | 0.97028 | [
0.2989310394956284,
0.02662389232648926,
0.06709085043684684,
0.009212196364062227,
-0.26892546559923447,
0.1378679875471954,
0.20988688397540067,
0.3428483359699397,
0.029685488370151503,
0.32702540149355946,
-0.3974210224490809,
0.2724887268250979,
-0.13774748204954596,
1.113372835236305... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 177 |
18eef7556e7c99f2056daf5370482c12 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [202, 234], "expectation_value": -42.98247639219426, "params": null, "bitstrings": ["100110101", "100010101"], "total_optimization_steps": 100, "probabilities": [0.17712296465766092, 0.21581777408593364], "optimization_time": 184.19712209701538} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.910725201830011) q[0];
rz(-pi) q[0];
h q[1];
ry(14.226814631084332) q[1];
rz(-pi) q[2];
ry(-2.8276055261302573) q[2];
rz(-pi) q[3];
ry(-0.6037335772354969) q[3];
h q[4];
ry(-2.503200618475903) q[5];
rz(-pi) q[5];
cx q[1], q[5];
ry(-0.634351839760383) q[5];
cx q[1]... | null | {"matching": "perfect", "extra": "{\"n\": 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(23.9941) 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] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15,
5.5,
23.5,
18,
0.5,
22.5,
13,
5.5,
-1
] | 0.972353 | [
23.579116185633968,
63.12990552371649,
12.80359732253481,
14.226814631084332,
1.268703679520766,
-17.389883838771233,
4.50366295300341,
0.28630146122490274,
2.0891079396670342,
-41.664855259309064,
-18.144190662538225,
50.08291549902295,
-0.7897217290145451,
6.876816994677622,
49.5161117... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 104 |
06224520ded029e940b1fde3f5ab3e3b | 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": 4}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2709, 1386], "expectation_value": -0.01157318900472452, "params": [[0.06860000000000001], [-0.0567]], "bitstrings": ["010101101010", "101010010101"], "total_optimization_steps": 10, "probabilities": [0.00025582157692673337, 0.0002558215769267334], "optimization_time": 5.9070775508880615} | 0.25 * (Z(0) @ Z(1)) + -0.0017361111111111112 * (Z(2) @ Z(0)) + -0.0017361111111111112 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00034722222222222224 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + 0.00034722222222222224 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5204861111111114, -1.5204861111111114], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5149305555555554, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5156250000000009} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"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,
-0.0017361111111111112,
-0.0017361111111111112,
0.25,
0.00034722222222222224,
-0.0013888888888888892,
0.00034722222222222224,
-0.0013888888888888892,
0.25,
0.00034722222222222224,
0.0006944444444444445,
0.0006944444444444445,
0.00034722222222222224,
0.0006944444444444445,
0.0006944... | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -0.14297769136888366, "params": [[0.0603], [-0.0487]], "bitstrings": ["110001", "110010"], "total_optimization_steps": 10, "probabilities": [0.01673984073783348, 0.016918409773562914], "optimization_time": 1.695958137512207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02172569596093698) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.02172569596093698) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02172569596093698) q[2];
cx q[0], q[2];
rz(1.736499027868886) q[2];
rx(-1.6454317969910583) q[2];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.988948 | [
-0.02172569596093698,
-1.632171019885014,
-1.5273591642926907,
1.736499027868886,
-1.63086528192634,
-1.6454317969910583
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 32 |
c5b30b94cad3afd2b2d3cf8b55cce16a | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [47, 7], "expectation_value": -15.708511535834244, "params": null, "bitstrings": ["11010000", "11111000"], "total_optimization_steps": 67, "probabilities": [0.12393977867550218, 0.6829558389196597], "optimization_time": 88.46178579330444} | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 3 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11101000", "11111000"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03992472608385109) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00269159676729528) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012002982498467882) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.03992472608385109) q[4];
c... | 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(1.2796) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-0.75,
-2.75,
-0.5,
-0.75,
-1.5,
-1.75,
-0.25,
-0.25,
2.25,
-0.25,
-1.75,
-1.25,
-1.5,
-1.25,
-2.25,
-0.25,
-2,
0,
3,
-1.25,
4,
-1.25
] | 0.704523 | [
-0.03992472608385109,
-0.00269159676729528,
0.012002982498467882,
-0.027140045216093485,
0.025484428609887977,
0.1802066675376493,
1.9968684935125172,
-0.20796776869104522,
-1.5713798940041483,
-1.5612242179332285,
-0.06687445425594916,
1.6319185724475551,
1.523682567149112,
-1.28080419968... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 344 |
-7816867425149819707 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 2], [5, 6], [0, 3], [3, 6], [4, 5], [0, 4], [0, 5], [1, 3], [1, 4], [0, 6], [2, 3]]} | {"states": [13, 14], "expectation_value": -2.6365746207913268, "params": null, "bitstrings": ["1110010", "1110001"], "total_optimization_steps": 54, "probabilities": [0.15725874064604306, 0.5627815425972087], "optimization_time": 61.12922692298889} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1110010", "0001110", "0001101", "1001100", "0110011"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.23486561317557286) q[0];
h q[1];
ry(-0.23486561317557286) q[1];
h q[2];
ry(-0.8478895679171992) q[2];
h q[3];
ry(0.8013202226396958) q[3];
h q[4];
cx q[4], q[1];
ry(0.23486561317557286) q[1];
cx q[4], q[1];
ry(-0.5970289721429662) q[1];
ry(1.49365493374315... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIZIZII",
"IIZIIIZ",
"IIIIZIZ",
"IZZIIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIZZII",
"IIIZIIZ",
"ZIIZIII",
"IIZIIZI",
"IIIZIZI",
"IIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIIIIZI"
] | [
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
] | 0.975325 | [
-0.4697312263511457,
1.4936549337431517,
1.6026404452793916,
-1.1940579442859325,
-1.6957791358343983,
-0.9802820209815764,
0.24759889876587954,
-0.052398808146189045,
-0.39621791749764784,
0.6440602431484823,
-0.3367055319427883,
-0.6160483129596577,
0.9678051040798534,
0.4068505646309801... | {
"n_parameters": 45,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 13 |
c69798a15730b7afdff62476bc09c790 | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [1007, 903], "expectation_value": -16.509144921796146, "params": null, "bitstrings": ["0000010000", "0001111000"], "total_optimization_steps": 100, "probabilities": [0.14357376377727366, 0.4187150195263199], "optimization_time": 212.17908310890198} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0001111000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.026775749304552045) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.06287116732485887) q[3];
h q[4];
ry(-0.06287116732485887) q[4];
h q[5];
ry(-1.6381614045801203) q[5];
h q[6];
cx q[6], q[3];
ry(0.06287116732485887) q[3];
cx q[6], q[3];
cx q[6], q[4];
ry(0.062871167... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[6], 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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIZIIZIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIIIZIII",
"IZIIIIIIII"... | [
-1.5,
-1.5,
0.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
2,
0.5,
0.5,
0.5
] | 0.97435 | [
-0.12574233464971774,
-1.6318821999867987,
-1.2446033838002997,
-1.6381614045801203,
-0.05396021426002735,
-0.08037915858165909,
0.027445160448425533,
-0.05355149860910409,
0.052829950916909216,
0.02404107806473335,
0.0641636303467099,
-0.06096424731402752,
-0.059065252480117444,
-0.004089... | {
"n_parameters": 61,
"n_qubits": 10,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 120 |
5922738481475965753 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [1, 2], [5, 6], [3, 4], [2, 5], [4, 5], [2, 3], [0, 5]]} | {"states": [117, 85], "expectation_value": -2.686894901017727, "params": null, "bitstrings": ["0001010", "0101010"], "total_optimization_steps": 53, "probabilities": [0.31052353342838934, 0.5188283099138324], "optimization_time": 55.47326970100403} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110101", "0001010", "0101010", "1010101"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.6664083698956057) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(0.6664083698956057) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.6664083698956057) q[2];
cx q[1], q[2];
rz(1.7405073826637363e-08) q[1];
rx(-0.736780... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"ZZIIIII",
"IIIZZII",
"IZZIIII",
"IIZZIII",
"IZIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.489707 | [
0.6664083698956057,
1.7405073925702257e-8,
-0.7367802448361848
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 85 |
d609fb0bdfb5a6750e8877837b4fffb7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2},... | {"states": [59, 63], "expectation_value": -25.550543335805298, "params": [-0.0024000000000000002, 0.0054, -0.0024000000000000002, 0.0046, -0.0025, 0.00030000000000000003, -0.0024000000000000002, 0.0013000000000000002, -0.0024000000000000002, 1.4228, 0.0028, 0.5907, 0.0025, 0.5658000000000001, 2.2204, 0.9926, 0.81470000... | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + 0.... | 4 | 11 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["11111000000"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.004583864614903052) q[0];
rz(1.7175136929685433) q[0];
rx(-0.004583864614903054) q[1];
rz(1.381460329278152) q[1];
rx(0.12118927582963204) q[2];
rz(1.8164876442415103) q[2];
rx(-0.004583864614903053) q[3];
rz(1.802307302365584) q[3];
rx(-0.004583864614903054) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZ... | [
-3,
-3,
-2.5,
-2.5,
1,
-3,
-3,
1,
1.5,
-2.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1,
2,
-2,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.977035 | [
-0.004583864614903053,
0.146717366173647,
-0.18933599751674432,
0.12118927582963203,
0.24569131744661427,
0.23151097557068825,
1.4662536076615433,
0.07509899722691311,
0.6947825257913777,
-0.34364627907048084,
0.208813907278197,
2.778376779409006,
0.926459243183926,
1.2829009848305921,
0... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 9 |
7864173975676994353 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 2], [1, 3], [0, 4], [5, 6], [5, 7]]} | {"states": [108, 60], "expectation_value": -2.8132981794124596, "params": null, "bitstrings": ["10010011", "11000011"], "total_optimization_steps": 51, "probabilities": [0.05601950316019832, 0.7992381227549947], "optimization_time": 43.64392685890198} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10010011", "01101100", "00111100", "11000011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.24976233659730457) q[0];
h q[1];
ry(-0.24976233659730457) q[1];
h q[2];
ry(1.4645481681724073) q[2];
h q[3];
cx q[3], q[1];
ry(0.24976233659730457) q[1];
cx q[3], q[1];
ry(-0.6332065277539402) q[1];
ry(0.9231482053396799) q[3];
h q[4];
cx q[4], q[0];
ry(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];\ncry(-1.0342) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IZIIIZII",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIIZ",
"IZZIIIII",
"ZIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972869 | [
-0.49952467319460914,
1.4645481681724073,
-0.6598561124926331,
1.2549914156499569,
-0.4515642135607268,
-1.4337034365290184,
0.3711638473098272,
0.6252263480586192,
-0.48488370929931396,
0.5958437145621213,
-0.2966456369092525,
0.3311442669179522,
0.2978638103584853,
0.11736641277618287,
... | {
"n_parameters": 34,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
1594755842983474305 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3, 4], [1, 2, 4], [0, 2, 5, 7, 9], [0, 3, 6], [0, 5, 6, 8, 11], [8, 10, 7], [2, 3, 4, 7, 8], [10, 11, 4, 7], [1, 2, 5, 6, 11], [0, 3, 4, 5, 7, 8, 9]]} | {"states": [943, 1007], "expectation_value": -2.3527668797724437, "params": [[[0.4597, 0.0001], [0.41450000000000004, 0.0053], [3.1443000000000003, 0.0071], [3.1433, 0.0088], [3.1398, 0.001], [1.6700000000000002, 0.0051], [3.1438, 0.0081], [0.46240000000000003, 0.008], [3.1438, 0.0002], [3.1394, 0.0064], [2.6616, 0.005... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.24047619047619048 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.19047619047619047 * (Z(0) @ Z(3)) + 0.023809523809523808 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(2)) + 0.023809... | 1 | 12 | 1 | {"smallest_eigenvalues": [-2.5738095238095235, -2.5738095238095235, -2.5738095238095235], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.526190476190477, "smallest_bitstrings": ["010000110100", "001101000010", "110000010000"], "largest_eigenvalue": 10.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.034504866426331715) q[0];
rz(-0.08142210326827667) q[0];
rx(0.11334904485824898) q[1];
rz(-0.010766580084601754) q[1];
rx(3.1226105922175607) q[2];
rz(-0.14389581268205068) q[2];
rx(3.2293719929467826) q[3];
rz(0.23039537720930348) q[3];
rx(3.0095790994022305) 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": []} | [
"IIIIIIIIZIZI",
"IIIIIIIZZIII",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZI",
"IIIIIIIZIZII",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZIZ",
"IIIIIIZIZIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIIZIIZII",
"IIIIIIZIIIIZ",
"IIIIZIIIZIII",
"IIIIZIIZIIII",
"IIIIZIIIIZII",
"IIIIZIIII... | [
0.16666666666666666,
0.24047619047619048,
0.3333333333333333,
0.05,
0.21666666666666667,
0.21666666666666667,
0.19047619047619047,
0.023809523809523808,
0.05,
0.023809523809523808,
0.05,
0.023809523809523808,
0.1,
0.12380952380952381,
0.07380952380952381,
0.15714285714285714,
0.1,
... | 0.973192 | [
-0.034504866426331715,
-0.08142210326827667,
0.11334904485824898,
-0.010766580084601754,
3.1226105922175607,
-0.14389581268205068,
3.2293719929467826,
0.23039537720930348,
3.0095790994022305,
-0.16338515661193556,
2.253010085789866,
-0.05578512306101743,
3.064641071478885,
0.30168025140203... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -2.5738095238095235,
"target_ratio": 0.97,
"target_value": -2.496595238095238
} | 9 |
7c42f5cbaf3924d31d7b57a9c6bb4341 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capaci... | {"states": [7166, 7678], "expectation_value": -16.96007616243198, "params": null, "bitstrings": ["0010000000001", "0001000000001"], "total_optimization_steps": 100, "probabilities": [0.09227745111348414, 0.6769882732250436], "optimization_time": 494.8954541683197} | 0.5 * (Z(5) @ Z(10)) + 2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + -... | 1 | 13 | 2 | {"smallest_eigenvalues": [-17.7, -17.7, -17.7, -17.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000100100001", "0010000000001", "1000000001001", "0001000000001"], "largest_eigenvalue": 61.50000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
ry(0.6083128533175811) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5433802547305959) q[3];
cx q[2], q[3];
ry(0.5433802547305959) q[3];
cx q[2], q[3];
ry(-0.12424007866959128) q[2];
cx q[3], q[2];
ry(0.12424007866959128) q[2];
cx q[3], q[2];
ry(-0.23321258548325835) q[3... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... | [
"IIZIIIIZIIIII",
"IZZIIIIIIIIII",
"IZIIIIIZIIIII",
"IIZIIIZIIIIII",
"IIIIIIZZIIIII",
"IZIIIIZIIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIZIIIIIZIIII",
"IZIIIIIIZIIII",
"IIIIIZIIZIIII",
"IIIIZIIZIIIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIIIZIIIZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIIII... | [
0.5,
2,
1,
0.5,
1,
1,
0.5,
0.5,
-0.5,
-1,
-0.5,
1,
1,
2,
-1,
-0.5,
-0.5,
-0.5,
-1,
-1,
-1,
-1,
-2,
0.8,
-0.5,
0.5,
-1,
0.5,
0.5,
0.5,
1,
-0.5,
-1,
-0.5,
-1,
0.5,
0.5,
-0.5,
-1,
0.5,
0.5,
0.4,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5... | 0.970096 | [
0.7477673644688541,
0.9613846404015145,
0.02252293532538234,
1.5616557246565106,
0.9542620641413359,
1.6119115251631717,
1.8023138374237322,
0.001050069666346673,
1.4367050094327156,
1.3726695543954694,
0.5003227925975694,
-1.5038302062652915,
1.666993785983208,
1.3206167549388435,
0.401... | {
"n_parameters": 67,
"n_qubits": 13,
"optimal_eigenvalue": -17.7,
"target_ratio": 0.97,
"target_value": -17.169
} | 5 |
1408234504470828730 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [2, 3], [8, 3], [2, 5], [0, 7], [1, 3], [0, 5], [8, 1], [0, 3], [0, 6], [1, 2], [8, 2], [3, 6], [8, 6], [0, 4], [4, 6], [5, 6]]} | {"states": [59, 452], "expectation_value": -0.08936544795734949, "params": [[-0.046900000000000004], [0.057]], "bitstrings": ["111000100", "000111011"], "total_optimization_steps": 10, "probabilities": [0.002145895679097773, 0.002145895679097773], "optimization_time": 2.175330400466919} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["111000100", "000111011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(-0.46641571136395593) q[3];
cx q[5], q[3];
cx q[5], q[2];
rz(-0.46641571136395593) q[2];
cx q[5], q[2];
cx q[3], q[2];
rz(-0.46641571136395593) q[2];
cx q[3], q[2];
cx q[5], q[0];
rz(-0.46641571136395593)... | 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[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];... | null | {"circuits": [], "gradients": []} | [
"IIIZIZIII",
"IIIZIIZII",
"IIIIIZZII",
"ZIIIIZIII",
"ZIIIIIZII",
"IIIZIIIIZ",
"IIIIIZIIZ",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIIIIIZZI",
"ZIIIIIIZI",
"IIZZIIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIZII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.413721 | [
-0.46641571136395593,
-4.553516683326534e-8,
0.6137515734397195
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 112 |
9d210320770659afd6c4df9432851dd5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [0, 1021], "expectation_value": -6.947116426117911, "params": [-0.39230000000000004, 0.27840000000000004, 0.5783, 0.006900000000000001, -0.7571, 0.3387, 0.7214, 0.0091, -0.8156, 0.33330000000000004, 0.7527, 0.006, 0.7707, 0.5321, -0.097, 0.0079, 0.7816000000000001, 0.7256, -0.10020000000000001, 0.0067, 0.784... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(2) + 0.5 * Z(9) + -0.5 * Z(8) | 6 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0000000010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-1.764811711578853) q[0];
rz(1.401821238215529) q[0];
rx(-1.3438111623678597) q[1];
rz(1.6215514945295517) q[1];
rx(-2.8706179825194638) q[2];
rz(2.1604516994616514) q[2];
rx(2.937109841823813) q[3];
rz(1.8569562550251328) q[3];
rx(-3.03671375413231) q[4];
rz(2.1185... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIZII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
-1,
-1.5,
-1.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970402 | [
-1.7648117115788533,
-0.16897508857936747,
-1.3438111623678597,
0.050755167734654376,
-2.8706179825194638,
0.5896553726667542,
2.937109841823813,
0.28615992823023606,
3.2464715530472765,
0.5477910946467446,
2.301842578349273,
0.031502677598615275,
3.126611720555391,
0.2413856615184078,
0... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 259 |
2176076778769383379 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 3, 5], [0, 1, 5, 8, 9], [0, 9, 2, 4], [2, 6], [0, 4, 6], [0, 5, 6], [9, 7], [1, 6, 7], [0, 2, 5]]} | {"states": [998, 1012], "expectation_value": -1.1881367099930416, "params": [[0.3677], [-0.3683]], "bitstrings": ["0000011001", "0000001011"], "total_optimization_steps": 40, "probabilities": [0.003988895149771623, 0.00399191115243624], "optimization_time": 5.876968860626221} | 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.25 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.05 * (Z(0) @ Z(8)) + 0.3833333333333333 * (Z(0) @ Z(5)) + 0.05 * (Z(1) @ Z(8)) + 0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.6999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6999999999999993, "smallest_bitstrings": ["0000001011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(0.039453821254628006) q[8];
cx q[2], q[8];
cx q[2], q[3];
rz(0.039453821254628006) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(0.061307082591242804) q[5];
cx q[2], q[5];
cx q[2], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZII",
"IIIIIIZZII",
"IZIIIIZIII",
"IIIIZIIZII",
"IZIIZIIIII",
"IIIIZIZIII",
"IIIIIIIZIZ",
"IZIIIIIIIZ",
"IIIIZIIIIZ",
"IZIIIIIIZI",
"IIIIZIIIZI",
"IIIIIIIIZZ",
"ZIIIIIIZII",
"ZZIIIIIIII",
"ZIIIZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIIIIZIZII",
"IIIIIZIIIZ",
"ZIIIIZIIII"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.13333333333333333,
0.08333333333333333,
0.25,
0.05,
0.3833333333333333,
0.05,
0.05,
0.05,
0.08333333333333333,
0.05,
0.05,
0.13333333333333333,
0.05,
0.08333333333333333,
0.25,
0.08333333333333333,
0.5,
... | 0.735826 | [
0.039453821254628006,
0.061307082591242804,
0.20699889635731059,
0.03124840182934953,
0.112852822144064,
1.37441975709637,
0.033466303610007735,
0.039525350202542386,
-1.0591913009485523,
-0.16866685089644398,
1.5199192606210532,
1.328010393389115,
1.2500423055199403,
1.5566043248430854,
... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -2.6999999999999997,
"target_ratio": 0.97,
"target_value": -2.6189999999999998
} | 339 |
3a47978bfb976fd6248810daacdb4903 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [628, 596], "expectation_value": -5.32648008624771, "params": [0.7954, 0.0064, 0.0036000000000000003, 0.5867, 0.0027, 0.5944, 0.7937000000000001, 0.4877, 0.7676000000000001, 0.44170000000000004, 0.8022, 0.012, -0.0004, 0.5022, 0.7926000000000001, 0.2311, 0.7877000000000001, 0.3426, 0.0025, 0.6053000000000001... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 18 | 10 | 3 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0111001101", "0111001011", "0110101101", "0110101011", "0110010001", "0110000000"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6566433803157805) q[0];
rz(-0.5635484037530434) q[0];
rx(-0.08458123676006576) q[1];
rz(1.1774379964221435) q[1];
rx(0.05460809018472292) q[2];
rz(-0.2485327778063438) q[2];
rx(2.1111802145115894) q[3];
rz(0.24582046501630292) q[3];
rx(0.23032023843005026) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIIZIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIII"... | [
-0.5,
1,
-0.5,
0.5,
-1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
-0.16666666666666666,
1,
-2,
1,
2,
0.5,
0.5,
0.5,
0.8333333333333334,
-0.3333333333333333,
-0.3333333333333333
] | 0.972111 | [
1.6566433803157805,
-0.19670393659137253,
-0.08458123676006576,
1.1774379964221435,
0.05460809018472292,
-0.2485327778063438,
2.1111802145115894,
0.24582046501630292,
0.23032023843005026,
0.31345605388271675,
1.0081605341475985,
-0.16074160645590554,
0.020028144123884657,
0.288359995550519... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -6.666666666666666,
"target_ratio": 0.97,
"target_value": -6.466666666666666
} | 34 |
78f89ba37e1e52ef320c2e0609cedde3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "s... | {"states": [83, 215], "expectation_value": -3.184889683730556, "params": [[1.5728, 0.002, 0.0345, -1.5677, 0.003, -1.5696, 0.027600000000000003, 0.0021000000000000003, -0.9578000000000001], [-1.5677, -0.0302, 0.002, 1.1652, -0.007, -0.9022, -0.002, -0.0217, 1.5728], [1.5728, -0.0033, -1.1592, 1.5729, 0.0028, 1.5729, 0.... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(... | 9 | 9 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100101000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.14641081276545506) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.14641081276545506) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(1.446521872496118) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.09337964079066705) q[4];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
2,
-0.25,
-0.25,
-0.5,
0.25,
-0.25,
-1.25,
-0.25,
-1,
1.5,
-0.25,
0.5,
0.75
] | 0.589868 | [
0.14641081276545506,
1.446521872496118,
0.09337964079066705,
-1.3582993433250345,
0.08855406426495552,
1.5235042087243942,
-1.4438171798178152,
0.3232872648045847,
-0.20999463321216236,
0.9608239973720152
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 259 |
-641285898737926161 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [3, 5], [0, 6], [2, 5, 7], [0, 7], [4, 5, 6, 7], [2, 4, 6, 7], [3, 4, 7], [3, 6, 7], [2, 5, 6], [0, 1]]} | {"states": [83, 115], "expectation_value": -0.02260219454976049, "params": [[-0.027600000000000003], [0.0362]], "bitstrings": ["10101100", "10001100"], "total_optimization_steps": 10, "probabilities": [0.00399995767772004, 0.004009392350838799], "optimization_time": 2.478250741958618} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.25 * (Z(7) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4166666666666665, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 8.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.700177194815371) q[0];
ry(-3.1217412446352855) q[1];
rz(-pi) q[1];
h q[2];
ry(0.5168417580583784) q[2];
h q[3];
ry(0.6484848731251882) q[3];
h q[4];
ry(-0.46016504205588526) q[4];
h q[5];
ry(-0.6468120495763439) q[5];
h q[6];
ry(1.5779247539569012) q[6];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IZIIZIII",
"IZIIIIIZ",
"IZZIIIII",
"IIZIIZII",
"IZIIIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIIZII",
"IIIZZIII",
"IIZZIIII",
"IZIZIIII",
"IIIZIZII",
"ZIIZIIII",
"IIIIIIZZ",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.25,
0.3333333333333333,
0.25,
0.3333333333333333,
0.5,
0.25,
0.3333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.5,
0.33333333333333326,
0,
0.4583333333333332... | 0.987118 | [
1.525022124680365,
-1.400354389630742,
1.5779247539569012,
1.3949392950755197,
1.2969697462503764,
-1.2936240991526877,
1.0336835161167568,
-0.22418769643161163,
-0.9203300841117705,
0.05071780236473575,
0.4086563061889523,
-0.4534028979947344,
-0.10608082229967347,
0.31201124552973825,
... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -3.9166666666666665,
"target_ratio": 0.97,
"target_value": -3.7991666666666664
} | 1 |
aea6a89d3c3579868a0840a59a53452a | 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": [933, 805], "expectation_value": -53.36494870527222, "params": [[[1.0054, 0.5507000000000001], [1.0034, 0.2692], [1.0047000000000001, 0.1753], [0.5798, 0.3773], [0.1822, 0.36610000000000004], [1.0064, 0.9284], [-0.2566, 0.9945], [-0.3966, 0.7708], [0.3791, 1.0018], [0.1068, 0.5632], [-0.2278, 0.041]], [[0.99... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(9) @ Z(10)) + -2.0 * Z(0) + 14.0 * Z(1) + 7.0 * Z(3) + 8.5 * Z(2) + 3.0 * Z(4) + 7.0 * Z(5... | 15 | 11 | 2 | {"smallest_eigenvalues": [-111.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.0, "smallest_bitstrings": ["10011011010"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.6631129357569465) q[0];
ry(1.732320117785709) q[1];
ry(1.3979431983625943) q[2];
ry(-0.03965466103948729) q[3];
ry(0.40654615458006715) q[4];
ry(1.3465699526203454) q[5];
ry(0.09430533726973127) q[6];
ry(-0.09049890401971242) q[7];
ry(0.24847644766988464) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIZIIIIZII",
"IIZIIIIIIZI",
"IIZIIIIZIII",
"IIZZIIIIIII",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-2,
14,
7,
8.5,
3,
7,
-4,
1,
16.5,
9,
-2.5
] | 0.974189 | [
1.6631129357569465,
1.732320117785709,
1.3979431983625943,
-0.03965466103948729,
0.40654615458006715,
1.3465699526203454,
0.09430533726973127,
-0.09049890401971242,
0.24847644766988464,
-0.017942208608991178,
-0.5468637926932252,
0.15697056101514578,
-0.048814697520549274,
-0.0158262614192... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -111,
"target_ratio": 0.97,
"target_value": -107.67
} | 48 |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -0.5340002097863652, "params": [[-0.0761], [0.07]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.03721980656495729, 0.03923601908391587], "optimization_time": 1.0397534370422363} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.403513744402808) q[0];
rz(-pi) q[1];
ry(-0.26244175595439895) q[1];
rz(-pi) q[2];
ry(-0.029488094427819626) q[2];
h q[3];
ry(-1.4713482188317892) q[3];
h q[4];
cx q[4], q[0];
ry(0.403513744402808) q[0];
cx q[4], q[0];
ry(-1.102703959745292) q[0];
ry(1.6020... | 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];... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-1.5,
-1,
1.75,
-0.75,
-1.25,
-1,
1.5,
-0.25,
0.75,
0.25,
-2.25
] | 0.971362 | [
-1.4713482188317892,
-0.807027488805616,
1.4911052735712893,
-1.102703959745292,
-1.7020375436318982,
-1.833778612837321,
0.221883680341239,
0.20350624481836382,
0.0010810601760510158,
0.1165906038876539
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 14 |
a6b81bd94db1dc24b1e0e42e6a7091b4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -21.698547955782388, "params": [[0.0374, 0.01], [-0.0847, -0.0704]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.007634836666007287, 0.009563424265851345], "optimization_time": 3.2717785835266113} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 5.0 * Z(0) + 12.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.744140712049382) q[0];
rz(-0.0472961356517434) q[0];
rx(3.110384720259039) q[1];
rz(0.22796018602275503) q[1];
rx(3.1447279415560803) q[2];
rz(-0.5280722703690759) q[2];
rx(0.2303163344266575) q[3];
rz(-0.9377822736725943) q[3];
rx(3.117670039049346) q[4];
rz(0.530... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
5,
12.5,
14.5,
4.5,
14,
9.5,
15.5,
2
] | 0.975861 | [
0.7441407120493821,
-0.10353319362533349,
3.110384720259039,
0.22796018602275503,
3.1447279415560803,
-0.5280722703690759,
0.2303163344266575,
-0.9377822736725943,
3.117670039049346,
0.530377326005906,
2.973122811681948,
-0.3866238784758647,
0.057713943702765926,
0.04753547702156585,
3.1... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 21 |
ee3d1657115ac7fe63817a76eff6e74f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 4, "source": 2, "target": 3}, {"weight": 12, "source": 3, "targ... | {"states": [190, 174], "expectation_value": -76.69053467813194, "params": [-0.0024000000000000002, 0.4937, 0.7894, 0.0063, 0.0032, 0.45880000000000004, 0.7855000000000001, 0.0692, 0.3841, 0.1905, 0.7862, -0.0026000000000000003, 0.782, 0.0035, 0.7865000000000001, 0.0984, 0.38720000000000004, 0.19740000000000002, -0.0004... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.011320181029350375) q[0];
cx q[1], q[0];
rz(1.6845218817811496) q[0];
rx(1.643152641776864) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.011320181029350375) q[2];
cx q[3], q[2];
rz(1.694561325739155) q[2];
rx(1.6431526417768643) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12.5,
-3,
15,
-2.5,
15.5,
17,
23.5,
15,
9.5
] | 0.979463 | [
-0.011320181029350375,
-1.538475421558327,
1.684521881781149,
-1.5682318728391689,
1.6945613257391543,
0.9835395433700487,
-1.623624962021536,
-1.7004061833926134,
1.5050717042233193,
1.6431526417768643
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 54 |
c57625ce2de67c1086ad1c24582707c2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -0.7325580373052829, "params": [[-0.0724, -0.065, -0.0813], [0.07590000000000001, 0.0703, 0.0757]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.028330906118990685, 0.030178731793406084], "optimization_time": 2.8536839485168457} | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "101010", "111010", "101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.04555174660829865) q[0];
h q[1];
rz(-pi) q[2];
ry(-0.04555174660829865) q[2];
h q[3];
h q[4];
ry(-0.7617454856021101) q[4];
h q[5];
ry(1.6259872692335873) q[5];
cx q[5], q[4];
ry(0.7617454856021101) q[4];
cx q[5], q[4];
ry(0.03538166069087447) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"ZIIIIZ",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.75,
-0.25,
0.5,
-0.75,
0.75,
0.5
] | 0.994308 | [
1.6259872692335873,
-1.6769397797965455,
-1.5234909712042202,
0.07076332138174894,
0.09535941020082443,
0.07848445490394958,
0.12118341278670078
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
a91613587e2e3ed31c854337981da9dd | 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": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [127, 1], "expectation_value": -0.025095818576479204, "params": [[-0.0216], [0.0111]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.003964409337440532, 0.003969922669235478], "optimization_time": 3.4452006816864014} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.8142818159798348) q[0];
ry(-0.032593683521263635) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.610183497606998) q[2];
h q[3];
ry(-1.610183497606998) q[3];
h q[4];
ry(-1.610183497606998) q[4];
h q[5];
h q[6];
ry(-1.610183497606998) q[6];
h q[7];
ry(1.4863581279641118)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
0.5,
-1.25,
-0.25,
-1.75,
-0.25,
-0.75,
-0.75,
-1,
-1.25,
1.5,
-0.25,
0.5,
-1.25,
0,
0,
-1.75,
1.25
] | 0.997911 | [
-1.610183497606998,
1.4863581279641118,
-1.6285636319596697,
-1.3831484037152848,
-0.3101084791166965,
0.12617624117491766,
0.014085585013846047
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 1 |
1ab76c2cb297d60b963c98d94aac7ce1 | 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": [646, 647], "expectation_value": -90.51479914234302, "params": [[[0.9965, 0.0028], [-0.0161, 0.008700000000000001], [0.9871000000000001, 0.6198], [-0.0119, 0.6675], [0.00030000000000000003, -0.0035], [0.18330000000000002, -0.0032], [-0.1111, -0.0471], [-0.0459, 0.8395], [0.42860000000000004, 0.49200000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(9) @ Z(1)) + 20.5 * Z(0) + 1.0 * Z(1) + 22.0 * Z(2) + 3.5 * Z(3) + 10.0 * Z(5) + 7.5 * Z(7)... | 15 | 10 | 3 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.5, "smallest_bitstrings": ["0101111000"], "largest_eigenvalue": 158.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.290007537441832) q[0];
ry(-0.1277641757267741) q[1];
ry(0.9699640910655085) q[2];
ry(0.07695355967954029) q[3];
ry(0.31805764068482206) q[4];
ry(0.22120088141750827) q[5];
ry(-0.24039067279429432) q[6];
ry(-0.07027225295055926) q[7];
ry(0.30585338667573236) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIZIIIII",
"ZIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
20.5,
1,
22,
3.5,
10,
7.5,
-6,
15.5,
-1.5,
-9
] | 0.970325 | [
1.290007537441832,
-0.1277641757267741,
0.9699640910655085,
0.07695355967954029,
0.31805764068482206,
0.22120088141750827,
-0.24039067279429432,
-0.07027225295055926,
0.30585338667573236,
0.4730422581079435,
-0.18389964812318635,
-0.20874102880654774,
0.2572379962978681,
0.3345400483268213... | {
"n_parameters": 60,
"n_qubits": 10,
"optimal_eigenvalue": -99.5,
"target_ratio": 0.97,
"target_value": -96.515
} | 51 |
3c25f4733a6ff92642f47c1f75f8c86b | 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, 55], "expectation_value": -85.08512868891482, "params": [0.0039000000000000003, 0.0029000000000000002, -0.0106, -0.0056, -0.0011, -0.0097, 0.5274, 0.5235000000000001, 0.4409, 0.39080000000000004, 0.1774, 0.17320000000000002, 0.5112, 0.5131, 0.3793, 0.4219, 0.3744, 0.3644, 0.0015, -0.0018000000000000002,... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(1) @ Z(6)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 12.5 * Z(3) + 0.5 * Z(2) + 21.5 * Z(6) + 2.0 * Z(1) + 15.5 * Z(4) + 13.5 * Z(5... | 14 | 9 | 3 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["111001000"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.10719193653544365) q[0];
rz(pi/2) q[0];
ry(-0.2190822227586349) q[1];
ry(-0.12954707671247015) q[2];
ry(0.6282052453773453) q[3];
ry(0.36417586606239594) q[4];
ry(0.1330997299250641) q[5];
ry(0.2647102197841174) q[6];
ry(0.49838846431319195) q[7];
ry(0.492213547032... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIZIIIIZI",
"IIIIZIZII",
"IIZIZIIII",
"IIIZIZIII",
"IIZZIIIII",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
12.5,
0.5,
21.5,
2,
15.5,
13.5,
8.5,
7,
-12.5
] | 0.970189 | [
0.10719193653544365,
-0.2190822227586349,
-0.12954707671247015,
0.6282052453773453,
0.36417586606239594,
0.1330997299250641,
0.2647102197841174,
0.49838846431319195,
0.49221354703296166,
0.024063125979640762,
-0.02018139483797929,
0.26867263510567346,
-0.03821159311196183,
-0.3504683881691... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 7 |
a61196a27e9d77181b30595d54711c88 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -17.119111871237784, "params": [0.0034000000000000002, 0.43360000000000004, 0.006, 0.031900000000000005, 0.0053, 0.1144, 0.0026000000000000003, 0.5836, 0.0023, 0.5940000000000001, 0.0022, 0.5233, 0.0023, 0.5945, 0.0025, 0.5953, 0.8081, 0.0033, 0.0039000000000000003, 0.0073, -0.00... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.75 * (Z(7) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7593365234290921) q[0];
h q[1];
ry(-1.5186730468581842) q[1];
h q[2];
ry(-1.5186730468581842) q[2];
ry(-0.02606164722101131) q[3];
rz(-pi) q[3];
ry(-7.955699003038092e-08) q[4];
rz(-pi) q[4];
ry(-0.0260615986376298) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.518673... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIIZII",
"... | [
-0.5,
-1.25,
-1.25,
-1,
-0.25,
-1.75,
2.25,
-0.25,
-0.75,
-0.75,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.75,
-1.25,
-0.5,
-1,
-1,
1.5,
-0.25,
-0.75,
-2.25,
1.25,
-0.75,
-2,
1.75,
1.5
] | 0.963627 | [
-1.5186730468581842,
1.570796401099004,
-0.8114599009084138,
-1.5707961460296473,
4.756531504520507e-8,
-0.05212326543140261,
-0.052123362598165635,
-2.0241651814443675e-7
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 197 |
e087bb7a2ab5b6cd6822b49db98164ad | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [39, 47], "expectation_value": -5.062697837579946, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 38, "probabilities": [0.3117844399029031, 0.3119944309396887], "optimization_time": 33.8033812046051} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1010000", "1000000", "1110100", "1011000", "1111100"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.684079612108113) q[0];
h q[1];
h q[2];
ry(-1.6130910725056342) q[2];
h q[3];
h q[4];
ry(0.8705312656325608) q[4];
cx q[1], q[4];
ry(-0.8705312656325608) q[4];
cx q[1], q[4];
ry(0.5638362462260424) q[1];
cx q[4], q[1];
ry(-0.5638362462260424) q[1];
cx q[4],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
1.25,
-0.75,
1,
-0.25,
0.5,
0.5,
-2,
0.25,
0
] | 0.971879 | [
-1.6130910725056342,
1.7410625312651216,
1.127672492452085,
-1.368159224216226,
1.3090628769470818,
-0.18059820948263738,
1.4980182789583685,
0.09301418289946432,
-0.5987902664515456,
0.00709990805003651,
0.28724048981292466,
0.025051227171103974,
-0.11161857880706907,
-0.10313587200409623... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
a524fb9bbf4c04d4c6f1ca508b56ffce | 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": 7, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target":... | {"states": [1023, 1007], "expectation_value": -34.28185950252369, "params": [[[-0.007, 0.0034000000000000002], [0.0015, 0.0032], [-0.004, 0.0031000000000000003], [0.0123, -0.0023], [0.011600000000000001, -0.0022], [0.0239, -0.0021000000000000003], [-0.5642, -0.0028], [0.0179, 0.0032], [-0.0011, 0.0025], [-1.7515, 0.003... | -1.75 * (Z(0) @ Z(6)) + -1.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -1.25 * (Z(10) @ Z(6)) + -1.0 * (Z(10) @ Z(0)) + -2.0 * (Z(10) @ Z(8)) + -1.0 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(10)) + -1.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(10)) + -1.5 * (Z(7) @ Z(1)) + -1.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(10)) + -1.75 * (Z(... | 15 | 11 | 3 | {"smallest_eigenvalues": [-34.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.75, "smallest_bitstrings": ["10000010000"], "largest_eigenvalue": 33.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.09638113990729595) q[0];
ry(0.06607339754077486) q[1];
ry(0.046416257787157834) q[2];
ry(0.12517856907092523) q[3];
ry(-0.1540478767354107) q[4];
ry(0.06157746255226039) q[5];
ry(-0.649478854599135) q[6];
ry(-0.08092271970226839) q[7];
ry(-0.046641246228506725) 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": []} | [
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"ZIIIZIIIIII",
"ZIIIIIIIIIZ",
"ZIZIIIIIIII",
"IIIIZIIIIZI",
"ZIIIIIIIIZI",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIIZI",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"IZIIIIIIIZI",
"IZIZIIIIIII",
"IIIIZIIZIII",
"ZIIIIIIZIII",
"IIIZIIIZIII",
"IZIIIIIZI... | [
-1.75,
-1.5,
-0.5,
-1.25,
-1,
-2,
-1,
-1,
-1.5,
-0.25,
-1.5,
-1.75,
-0.5,
-1.75,
-1.25,
-2,
-0.5,
-0.25,
-1.5,
-1,
-1.5,
-1,
-1.5,
-0.75,
-0.5,
-1.5,
-0.5,
-0.25,
-1.25,
3.5,
-1,
-1.25,
-0.75,
-0.75,
-9.25,
-0.25,
-0.5,
3.75,
0.5,
-2.5,
... | 0.971581 | [
0.09638113990729595,
0.06607339754077486,
0.046416257787157834,
0.12517856907092523,
-0.1540478767354107,
0.06157746255226039,
-0.649478854599135,
-0.08092271970226839,
-0.046641246228506725,
-1.6671912258767665,
0.03786030270160599,
0.007753563313741926,
-0.03863878895563367,
-0.066186609... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -34.75,
"target_ratio": 0.97,
"target_value": -33.707499999999996
} | 19 |
3365959570703551875 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 4], [0, 1, 7], [2, 4, 7], [3, 1, 2, 10], [1, 4, 7], [8, 9, 4, 5], [9, 10], [0, 1, 10], [8, 4, 6, 7]]} | {"states": [958, 954], "expectation_value": -1.9137347364233155, "params": [0.6564, -0.4007, 0.6506000000000001, 0.003, 1.2934, 0.1193, 1.3011000000000001, 0.007200000000000001, 1.2979, -0.1187, 1.2924, 0.0066, 1.2969000000000002, -0.07400000000000001, 1.1041, 0.004, 0.8914000000000001, 0.19340000000000002, 0.885400000... | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.41666666666666663 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(8)... | 5 | 11 | 1 | {"smallest_eigenvalues": [-2.7500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["10001000101"], "largest_eigenvalue": 7.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.0660674660708676) q[0];
rz(-0.5085374935662874) q[0];
rx(0.929154227895651) q[1];
rz(-0.1858860180349211) q[1];
rx(0.9164672355923864) q[2];
rz(-0.5006873132790379) q[2];
rx(1.6760500126338154) q[3];
rz(-0.44737863594898375) q[3];
rx(0.2768131433173352) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"IIIIIIIIIZZ",
"IIZIIZIIIII",
"IIZIIIIIIIZ",
"IIZIIIIIIZI",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIZIIIIZIII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIIIZ... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16... | 0.970624 | [
0.06606746607086758,
-0.13775366966855251,
0.9291542278956512,
-0.1956225403524244,
0.9164672355923864,
-0.5158237252249815,
1.6760500126338151,
-0.5316417609079791,
0.2768131433173352,
0.5735281497340162,
2.2604730751158044,
0.08508944299344853,
1.5357612349145866,
-0.26947505108666187,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -2.7500000000000004,
"target_ratio": 0.97,
"target_value": -2.6675000000000004
} | 75 |
cde6b48ed870286595c1455af7aff8bd | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [86, 85], "expectation_value": -1.0069131746002355, "params": [0.0067, -0.0224, 0.39790000000000003, 0.40440000000000004, 0.0135, 0.0167, 0.3896, 0.3981, 0.006, 0.003, 0.3935, 0.3921, 0.374, 0.33030000000000004, -0.6064, -0.7352000000000001, 0.0074, 0.0089, 0.39790000000000003, 0.3927, -0.0281, 0.00180000000... | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 13 | 8 | 4 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["01010101", "10101010"], "largest_eigenvalue": 1.0250000000000001} | 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] 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": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
0.0006944444444444445,
0.0006944444444444445,
0.25,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
0.25,
0.0006944444444444445,
0.0006944444444444445,
-0.0020833333333333333,
0.0006944444444444445,
0.0006944444444444445,
-0.002083333... | 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 |
a4daa78eacadb4897b1342c199df0ce1 | 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": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [30, 28], "expectation_value": -2.8239020171244906, "params": [-0.0017000000000000001, 0.662, -0.0024000000000000002, 0.6226, 0.9034000000000001, 0.0004, 0.8962, -0.0053, 0.8992, -0.039400000000000004, 0.6091, -0.0189, 0.5761000000000001, -0.0419, -0.0017000000000000001, -0.34, -0.0029000000000000002, 0.4583... | 0.5 * (Z(2) @ Z(0)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 4 | 7 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100110", "1101001", "1100101", "1100011", "1110001"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.0504122744155853) q[0];
rz(2.314852764410956) q[0];
rx(-0.011423650263074667) q[1];
rz(2.3180126298646684) q[1];
rx(0.9127929599360881) q[2];
rz(1.576066005134642) q[2];
rx(1.2595759082637357) q[3];
rz(1.0869255396552848) q[3];
rx(1.5704424721284738) q[4];
rz(1.785... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZZII",
"IZIZZII",
"IZZIZII",
"IZZZIII",
"IZZZZII",
"IIIZIZI",
"ZIZIIII",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
-1,
-1,
-0.125,
-0.125,
-0.125,
-0.125,
-0.5
] | 0.970219 | [
0.05041227441558531,
0.744056437616059,
-0.011423650263074667,
0.747216303069772,
0.9127929599360882,
0.005269678339745593,
1.2595759082637359,
-0.4838707871396123,
1.570442472128474,
0.2150835953800506,
0.15106313476968702,
0.11618529990197637,
-0.08431961784168296,
-0.45410965028763484,
... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
94aec64b8094758f81cf5e43d797f28b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [1022, 1023], "expectation_value": -22.501409239667364, "params": [[[0.0028, -0.0031000000000000003], [0.0019, 0.0026000000000000003], [0.0023, 0.0022], [0.0023, 3.0063], [0.002, 0.0022], [0.0018000000000000002, 0.0019], [0.0033, 0.0023], [0.0026000000000000003, -0.003], [0.0026000000000000003, 0.00310000000... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(6) @ Z(4)) + -2.5 * (Z(8) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["1110000000000"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.06572986832562608) q[0];
ry(0.06851491367060591) q[1];
ry(0.014873893254158945) q[2];
ry(0.014873893254158945) q[3];
ry(-0.12881236339869584) q[4];
ry(0.14271888552396883) q[5];
ry(-0.0684039931551721) q[6];
ry(-0.015454905242818744) q[7];
ry(-0.015454905242818744... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIZIZIII",
"IIIIIZIZIIIII",
"IIIIIZIIIZIII",
"IIIIIIIIZZIII",
"IIIIIZIIZIIII",
"IIIIIZZIIIIII",
"IIIIIIZIZIIII",
"IIZIZIIIIIIII",
"IZZIIIIIIIIII",
"IZIIZIIIIIIII",
"IIZZIIIIIIIII",
"IIIZZIIIIIIII",
"ZIZIIIIIIIIII",
"ZIIIZIIIIII... | [
-2,
1,
-2,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-2.5,
0.5,
-1.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971926 | [
0.06572986832562608,
0.06851491367060591,
0.014873893254158945,
-0.12881236339869584,
0.14271888552396883,
-0.0684039931551721,
-0.015454905242818744,
3.1235701128699667,
0.05253463668503451,
-0.05028671408432938,
0.02730427480372058,
2.965667333718526,
0.009863685871225904,
-0.17553658182... | {
"n_parameters": 18,
"n_qubits": 13,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 31 |
d553277f50a2caebf7d64bfa2366fbf1 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [106, 43], "expectation_value": -9.239155916146645, "params": null, "bitstrings": ["0010101", "1010100"], "total_optimization_steps": 44, "probabilities": [0.08729663983404472, 0.7841655267931145], "optimization_time": 40.6218638420105} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000100", "1010100", "1111100", "1111110", "1011100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6244170222714969) q[0];
h q[1];
ry(0.7824975594798811) q[1];
h q[2];
ry(-1.2488340445429937) q[2];
h q[3];
ry(0.750036580810066) q[3];
h q[4];
ry(-1.2488340445429937) q[4];
h q[5];
ry(0.7963883987253267) q[5];
h q[6];
cx q[6], q[0];
ry(0.6244170222714969) ... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-0.25,
-1,
2,
-1,
0.5,
-0.25,
-2.25,
2,
-1.5,
0.5,
1
] | 0.96275 | [
-1.2488340445429937,
1.6043294875879333,
-1.0691927359798892,
1.5927767974506535,
1.5649951189597622,
2.892550652166787,
-0.8386926862915725,
1.500073161620132,
-2.8460184121839456,
-0.03428641686045621,
-0.14060491147893758,
-0.758107943261047,
0.6149085041257748,
0.16605770370895406,
1... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 500 |
598a895484db1dd124dda8633fc7a99c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [121, 109], "expectation_value": -8.528805015687565, "params": [[-0.0465], [0.0697]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00725984268630492, 0.007457980338517295], "optimization_time": 1.6634438037872314} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 2.0 * Z(0) + 10.0 * Z(2) + 18.0 * Z(1) + 18.0 * Z(4) + 12.5 * Z(5) + 4.5 * Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.029682493265214625) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.029682493265214625) q[1];
cx q[0], q[1];
rz(1.5705612127381334) q[0];
rx(1.5769581474958607) q[0];
cx q[2], q[1];
rz(0.029682493265214625) q[1];
cx q[2], q[1];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(x0) q[2];
cx q[0],... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
2,
10,
18,
18,
12.5,
4.5,
13,
-0.5
] | 0.927327 | [
0.029682493265214625,
1.5705612127381332,
-1.5703481182591699,
-1.5706046945448842,
-1.571207379658283,
-1.570506269198802,
1.5706316520383239,
1.5769581474958605
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 203 |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [16, 1], "expectation_value": -7.251766393906057, "params": [[0.06720000000000001, 0.030000000000000002], [-0.07440000000000001, -0.0523]], "bitstrings": ["01111", "11110"], "total_optimization_steps": 10, "probabilities": [0.05779089218985731, 0.05988144873569312], "optimization_time": 2.295846700668335} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
-8.5,
-8.25,
-8.5,
-8.25,
-8
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
eb3145611a4d787d1081ee1c864efa16 | 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": [918, 406], "expectation_value": -83.80916086679979, "params": [0.1829, 0.2046, 0.18030000000000002, 0.2021, 0.5257000000000001, 0.038400000000000004, 0.5335, 0.033, 0.5279, -0.004, 0.5231, -0.0027, -0.0031000000000000003, 0.34450000000000003, -0.0043, 0.3453, 0.12560000000000002, 0.2644, 0.1272, 0.2674, 0.5... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(8) @ Z(0)) + 5.5 * (Z(8) @ Z(9)) + 10.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(1) + -4.0 * Z(3) + 4.5 * Z(4) + 8.5 * Z(5... | 7 | 10 | 3 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["1001101001"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.16407067046002596) q[0];
rz(0.3420735664673078) q[0];
rx(0.5508233600444294) q[1];
rz(0.003711356896654104) q[1];
cx q[1], q[0];
rz(-0.07195633244409463) q[0];
cx q[1], q[0];
rz(-2.0602282655830804) q[0];
ry(0.04276883895344849) q[0];
rz(2.609973278697285) q[0];
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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
10,
15.5,
11,
-4,
4.5,
8.5,
3,
7.5,
0.5,
10
] | 0.98057 | [
0.16407067046002596,
0.27011723402321336,
0.5508233600444294,
0.003711356896654104,
0.9082425827020674,
-0.13044649109823028,
0.008104463767700007,
0.28130142216396636,
-0.034167652839518343,
-0.03417199986369464,
0.5438612733944368,
0.06021757897831212,
-0.06571812938533994,
0.19266886440... | {
"n_parameters": 140,
"n_qubits": 10,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 10 |
014aa6382d0a3729060055c7790c69a9 | 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": [335, 334], "expectation_value": -79.67601665809164, "params": [0.0025, 0.9762000000000001, 1.4058000000000002, 0.030100000000000002, 0.0018000000000000002, 0.7907000000000001, 1.3937000000000002, 0.41910000000000003, 0.5782, 0.6044, 0.0024000000000000002, 1.0426, 1.3995, -0.022000000000000002, 1.3812, -0.19... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(2) @ Z(8)) + -2.5 * Z(0) + 6.5 * Z(1) + 4.5 * Z(4) + 7.5 * Z(3) + 15.5 * Z(6) + 11.0 * Z(9)... | 18 | 10 | 2 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["1010110001"], "largest_eigenvalue": 163.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.006962072345543177) q[0];
rz(1.255482587936191) q[0];
rx(1.3514118247956939) q[1];
rz(0.10213896142664641) q[1];
rx(0.05760329659842294) q[2];
rz(0.6543635936983784) q[2];
rx(1.561836649932347) q[3];
rz(0.41105401566340355) q[3];
rx(0.26386122914339943) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"ZIIZIIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-2.5,
6.5,
4.5,
7.5,
15.5,
11,
18.5,
23,
-4,
-11.5
] | 0.975301 | [
-0.006962072345543177,
0.8413057525603193,
1.3514118247956939,
0.10213896142664641,
0.05760329659842294,
0.6543635936983784,
1.561836649932347,
0.41105401566340355,
0.26386122914339943,
0.809810408890402,
0.026938267026621707,
1.3317172162074704,
1.712565923554656,
0.03294425392800814,
1... | {
"n_parameters": 56,
"n_qubits": 10,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 10 |
2ee51013acda191f703ffb893493c226 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [1, 3], "expectation_value": -8.617761095600986, "params": [-0.0368, -0.0262, -0.016, 0.0048000000000000004, -0.0034000000000000002, 0.23470000000000002, 0.0009000000000000001, 0.2432, -0.0029000000000000002, 0.2336, -0.0021000000000000003, 0.2421, 0.0008, 0.22890000000000002, -0.0008, 0.22940000000000002, -... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3... | 6 | 10 | 3 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111100", "1111111110", "1110101100", "1110101110", "1111101100", "1111101110"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.09629260297793997) q[0];
rz(1.8517256343602853) q[0];
rx(0.09906788189421842) q[1];
rz(1.9451869590620134) q[1];
rx(0.02892545239069943) q[2];
rz(2.003018469614699) q[2];
rx(-0.0073791440975656064) q[3];
rz(1.783977364738032) q[3];
rx(0.2559834990973146) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIIIIZIZI",
"IIZIIIZIII",
"IIIZIIZIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIIZZIIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IZIZIIIIII"... | [
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
1.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
0.25,
-0.25,
-0.75,
0.25,
-1.25,
0,
0.75,
0.5,
0.25,
0.25
] | 0.974729 | [
0.09629260297793998,
0.28092930756538914,
0.09906788189421842,
0.37439063226711644,
0.028925452390699435,
0.43222214281980254,
-0.007379144097565606,
0.2131810379431349,
0.25598349909731455,
0.03527527060500375,
0.11765190340959102,
-0.06688611200548515,
-0.006641195680597643,
0.2849079189... | {
"n_parameters": 128,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 20 |
2566007007992469752 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [8, 2], [0, 5], [1, 7], [0, 4], [5, 6], [0, 6], [8, 3], [3, 6], [2, 3], [2, 7], [6, 7], [0, 8, 7]]} | {"states": [221, 290], "expectation_value": -0.023347867368926814, "params": [[0.0281], [-0.0334]], "bitstrings": ["100100010", "011011101"], "total_optimization_steps": 20, "probabilities": [0.0020133597685630536, 0.0020157957349411465], "optimization_time": 3.1167824268341064} | 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["011011101"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.4269913733304738) q[0];
h q[1];
ry(-0.7353620194943253) q[1];
h q[2];
ry(-0.7353620194943253) q[2];
h q[3];
ry(0.7880568661748256) q[3];
h q[4];
ry(-0.8505123679018476) q[4];
cx q[0], q[4];
ry(0.8505123679018476) q[4];
cx q[0], q[4];
ry(0.0493136510786822) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[8];
rz(x1) q[8];
cx q[7], q[8];
cx q[7], q[2];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IZIZIIIII",
"ZZIIIIIII",
"IZIIIIZII",
"ZIIIIIZII",
"IZIIIIIIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IIIIZIIIZ",
"IZZIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"ZIIIIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666652,
0,
0.16666666666666652,
0,
0.16666666666666652,
0,
0,
0,
0
] | 0.974782 | [
-0.5411716431027002,
1.4269913733304738,
-1.7010247358036952,
-0.48078108226266575,
1.6790547763263255,
-1.4707240389886507,
1.5761137323496512,
-0.5057108681516027,
-1.1445660267032984,
0.03030845649172488,
0.10706719811508522,
-0.9253772499634568,
-0.3180676347183176,
-0.4137308536616608... | {
"n_parameters": 55,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333332,
"target_ratio": 0.97,
"target_value": -4.203333333333332
} | 7 |
aa017fe03799a772a3aff0770f4d70b4 | 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": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [11, 15], "expectation_value": -3.499984296406191, "params": null, "bitstrings": ["1110100", "1110000"], "total_optimization_steps": 18, "probabilities": [0.1249982611471617, 0.1249982611471617], "optimization_time": 14.477359294891357} | -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) ... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"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 |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [218, 122], "expectation_value": -35.55725359744606, "params": [[-0.0408, -0.0001, 0.008, 0.0089], [0.0729, 0.0666, 0.0654, 0.0611]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.02051091596496697, 0.02353676643941231], "optimization_time": 9.992207288742065} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.21069830025586003) q[0];
rz(-0.44314380018304966) q[0];
rx(0.6758685682189609) q[1];
rz(-0.07231239329845751) q[1];
rx(0.5304567662709817) q[2];
rz(0.0524343513804677) q[2];
rx(-0.2764618131261993) q[3];
rz(0.21560061027038913) q[3];
rx(0.6842987872754291) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21,
11.5,
7,
19.5,
17.5,
7,
19.5,
0.5
] | 0.970268 | [
-0.21069830025586003,
-0.2661478952017108,
0.6758685682189609,
-0.11332069058319576,
0.5304567662709817,
0.04323630987877809,
-0.27646181312619933,
0.1941591628277346,
0.684298787275429,
-0.08672849227055314,
0.5560224463447703,
0.3101181280349571,
0.13765148430319257,
0.27958925789989647,... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
5f85a0b039a3b9284ffdbae62e0705cd | 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}, {"id": 9}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 19, "source": 1, "target": 7}, {"weight":... | {"states": [444, 412], "expectation_value": -80.37092915291478, "params": [0.3906, 0.1366, 0.3931, 0.14800000000000002, 0.3768, 0.0468, 0.38770000000000004, 0.0507, 0.3891, -0.044500000000000005, 0.3936, -0.0298, -0.257, -0.0095, -0.2889, -0.0022, 0.39680000000000004, -0.0229, 0.39780000000000004, -0.034300000000000004... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(7)) + 16.5 * Z(1) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.5, "smallest_bitstrings": ["1001100011"], "largest_eigenvalue": 193.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.5486866657315917) q[0];
rz(1.4187192472307828) q[0];
rx(0.28458927205078693) q[1];
rz(1.2856552367617855) q[1];
rx(0.21832177106608888) q[2];
rz(1.6630285351611658) q[2];
rx(0.09456712336065891) q[3];
rz(1.1626888495404444) q[3];
rx(0.3431600864274313) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIZIIZII",
"IIIIZZIIII",
"IIZIIZIIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
16.5,
4,
20.5,
15.5,
9,
13.5,
18.5,
13.5,
-0.5,
-6
] | 0.970511 | [
0.5486866657315919,
-0.15207707956411365,
0.284589272050787,
-0.2851410900331105,
0.21832177106608888,
0.09223220836626933,
0.0945671233606589,
-0.4081074772544526,
0.3431600864274313,
0.0968000430143954,
0.46947222873892513,
-0.2840436899279593,
0.5913820634372979,
-0.39565634684108303,
... | {
"n_parameters": 143,
"n_qubits": 10,
"optimal_eigenvalue": -97.5,
"target_ratio": 0.97,
"target_value": -94.575
} | 297 |
1371a8d233ceedbf3a9ec9931886713d | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.02561167356792108, "params": [[0.07930000000000001], [-0.08220000000000001]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.6910232761477026e-05, 1.691023276147703e-05], "optimization_time": 16.1895310878753... | 0.25 * (Z(0) @ Z(1)) + 0.0002066115702479339 * (Z(2) @ Z(0)) + 0.0002066115702479339 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008264462809917356 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + -0.0008264462809917356 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0193181818181323], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0193181818181247, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0135330578511903} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6154186834429225) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.03172783434344268) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.03172783434344268) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.6154186834429225) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"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,
0.0002066115702479339,
0.0002066115702479339,
0.25,
-0.0008264462809917356,
-0.0008264462809917356,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
-0.0006198347107438016,
-0.0006198347107438016,
-0.0003615702479338844,
-0.0006198347107438016,
-0.0006198347107438016,
-0.00036... | 0.970909 | [
1.6154186834429225,
-0.03172783434344268,
0.003731899473451296,
0.051521038839347236,
-0.3124286080780074,
-0.7440021791075236
] | {
"n_parameters": 6,
"n_qubits": 16,
"optimal_eigenvalue": -2.0193181818181323,
"target_ratio": 0.97,
"target_value": -1.9587386363635884
} | 28 |
13897d244e0881b4447dd2a9a298bf14 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [119, 118], "expectation_value": -51.6629767909195, "params": [0.46830000000000005, 0.2793, 0.9933000000000001, -0.005, 0.9976, -0.0005, 0.9995, 0.09770000000000001, 0.3951, 0.2747, 0.9907, -0.0008, 0.9915, -0.0534, 0.49570000000000003, -0.2464, 0.46330000000000005, 0.2666, 0.9946, -0.0125, 0.9955, -0.001, 0... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 11.0 * Z(1) + 6.5 * Z(0) + 13.5 * Z(2) + 11.0 * Z(3) + 6... | 18 | 8 | 3 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.030727019186459183) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.030727019186459183) q[1];
cx q[2], q[1];
rz(-1.5882059243987203) q[2];
rx(1.5243136193984859) q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.030727019186459183) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
6.5,
13.5,
11,
6,
14,
14,
4.5
] | 0.98132 | [
0.030727019186459183,
-1.5882059243987205,
1.700638967703943,
-1.2603176422809077,
1.524313619398486
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 27 |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [45, 39], "expectation_value": -4.999144858283781, "params": null, "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 36, "probabilities": [0.06552908063231486, 0.9338662614321694], "optimization_time": 28.548307418823242} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10758269301838308) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.10758269301838308) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.10758269301838308) q[2];
cx q[4], q[2];
rz(1.0158526286770417) q[4];
rx(-0.660651681254974... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-0.5,
-1.5,
0
] | 0.977959 | [
0.10758269301838308,
1.0158526286770422,
-1.0830236518770011,
-0.7797930592220781,
0.7529332076282363,
-0.6606516812549744,
-0.1660913770954591,
0.09088404394185104,
-0.5392296610982585,
-0.7289087446503865,
-0.6129435813348304,
0.3486533609480895,
0.5287619526337042,
0.17317995659263544,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 39 |
de837449b9b1ac221f958aa18f8b69de | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]} | {"states": [0, 103], "expectation_value": -4.405427377827216, "params": [-0.2316, 0.4176, 0.5322, 1.2518, -0.5633, 0.8439000000000001, 0.5473, 1.2517, -0.0016, 0.9853000000000001, -0.0032, 1.0142, -0.0017000000000000001, 1.1092, -0.0011, 1.1132, -0.5305, -0.1593, -0.48510000000000003, -0.09680000000000001, 0.5723, 1.22... | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.20454636169947982) q[0];
rz(2.8152219299414583) q[0];
rx(-0.44697682268564387) q[1];
rz(2.448194288614724) q[1];
rx(-0.06482965352697878) q[2];
rz(1.789633067939329) q[2];
rx(0.07456323353414633) q[3];
rz(2.240230974956189) q[3];
rx(0.08529955402258597) q[4];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.975716 | [
-0.20454636169947982,
1.2444256031465615,
-0.4469768226856438,
0.8773979618198277,
-0.06482965352697877,
0.21883674114443263,
0.07456323353414634,
0.6694346481612925,
0.08529955402258599,
1.0864724324281896,
-1.0194116337343637,
0.9110280395264493,
-0.32884727213360154,
-0.0769953673853635... | {
"n_parameters": 104,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 107 |
da62bff661bc86873d0aee1ded709754 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [25, 89], "expectation_value": -4.536652153420556, "params": [[[0.0021000000000000003, 0.6383], [0.4083, 0.0066], [0.0019, 0.507], [0.7799, -0.0018000000000000002], [0.7863, -0.0019], [-0.0004, -0.5375], [-0.0024000000000000002, 0.5297000000000001], [0.7779, 0.0018000000000000002]], [[0.0038, 0.6391], [0.414... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(3) + 0.0... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00101110", "10100110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.369161440919508) q[0];
ry(0.24950722958511654) q[0];
rz(0.899104490224282) q[0];
rz(1.463108752418747) q[1];
ry(2.8030582427181523) q[1];
rz(-1.5450459325495818) q[1];
rz(1.3979851988314174) q[2];
ry(0.10626081644330947) q[2];
rz(0.23339370272835236) q[2];
rz(-1.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIZI",
"IIIIZZII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1,
-1,
-1,
0,
0
] | 0.981613 | [
0.1531310707494347,
0.6303485691855849,
0.6910022691513715,
-0.16623671178622054,
-0.008360964568228033,
0.4494027869243768,
0.8199309159376724,
-0.06043918518706215,
0.8180101043064927,
0.09458864812461654,
0.1050201381124832,
-0.6853503169017136,
0.19471287790194716,
0.5360797991290474,
... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 6 |
-8103573777467907719 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 2], [1, 3, 4], [0, 6, 7], [1, 3, 6], [2, 5]]} | {"states": [471, 215], "expectation_value": -0.9692050878888501, "params": [0.9836, -0.0004, 0.8239000000000001, 0.009600000000000001, 0.9924000000000001, -0.0019, 0.9913000000000001, 0.0063, 0.996, 0.0015, 1.0006000000000002, 0.005, 0.9963000000000001, 0.0044, 1.0031, 0.0088, 1.0058, -0.0028, 0.9814, 0.002400000000000... | 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.166666666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["100101000", "110001000", "001010100", "011000010", "001100010"], "largest_eigenva... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.21847740720797465) q[0];
rz(1.6028467210894686) q[0];
rx(2.8185940426525136) q[1];
rz(1.800131197870038) q[1];
rx(1.952559157230208) q[2];
rz(1.5323722459993485) q[2];
rx(2.824565437282172) q[3];
rz(1.6611421441511904) q[3];
rx(2.742013343779173) q[4];
rz(2.0157739... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIIIIIZ",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZIIIIZI",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIZIIZII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.1666666666... | 0.971454 | [
0.21847740720797468,
0.03205039429457138,
2.8185940426525136,
0.22933487107514133,
1.952559157230208,
-0.03842408079554814,
2.824565437282172,
0.09034581735629407,
2.742013343779173,
0.4449776276847443,
0.9077285790177151,
0.0012920616473656027,
0.988383137949559,
0.08948359835255221,
1.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 164 |
277123102782c73f1874fb7822bb402d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [72, 73], "expectation_value": -4.952338789615161, "params": [[[0.19690000000000002, 0.0985, 0.0099, 0.0012000000000000001], [0.2914, 0.009300000000000001, 0.2797, 0.0076], [-0.0064, -0.19640000000000002, 0.0019, -0.2011], [-0.0041, -0.2001, -0.007, 0.004200000000000001], [0.4083, 0.0028, 0.00090000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) ... | 12 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["01111001", "10110110", "01110011", "11110010", "11100110", "10011110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.002244042224052288) q[0];
rz(0.3190784016197251) q[0];
ry(0.20679735146205927) q[1];
rz(0.06388558985857284) q[1];
cz q[1], q[0];
ry(0.051400518044352646) q[0];
rz(0.6128379605545599) q[0];
ry(0.6794281316664894) q[1];
ry(-0.14064142307838312) q[2];
rz(-0.178379894... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"ZIIIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"ZZIIIIII",
"IIIZIZII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-2,
-0.5,
-1,
-1.5,
-0.5
] | 0.979768 | [
0.002244042224052288,
0.3190784016197251,
0.20679735146205927,
0.06388558985857284,
-0.14064142307838312,
-0.17837989418206782,
-0.0691902257349298,
-0.17116530302889163,
0.7246607826435085,
0.0694298608481626,
0.005915638225290669,
0.07856416849254796,
-0.07400641090553764,
0.447284713009... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 10 |
438c76f1f561a3749d812e1ceae369b5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [270, 271], "expectation_value": -57.77060095350638, "params": [[[0.369, -0.0002], [0.15180000000000002, -0.001], [0.3234, 0.0114], [0.0505, 0.0302], [-0.042, 0.5816], [-0.33130000000000004, 1.5923], [0.0005, 1.332], [0.37670000000000003, 1.5695000000000001], [0.7815000000000001, 1.4823000000000002]], [[-0.3... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(2) @ Z(7)) + 7.0 * (Z(8) @ Z(1)) + 13.5 * Z(0) + 2.5 * Z(1) + 0.5 * Z(3) + 9.5 * Z(5) + 1.5 * Z(6) + -4.0 * Z(4) + 2.0 * Z(7) + -5.5 * Z(2) + 1.5 * Z(8) | 15 | 9 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["011110000"], "largest_eigenvalue": 82.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3761024468631493) q[0];
ry(-0.07738265629565712) q[1];
ry(0.6475562884829317) q[2];
ry(0.10517231014089731) q[3];
ry(-0.09910018024282424) q[4];
ry(-0.4858445235246622) q[5];
ry(-0.006956613821335296) q[6];
ry(0.1884986896283728) q[7];
ry(0.29493495735657904) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZIZIIII",
"IZIIIIZII",
"ZIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"ZIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
13.5,
2.5,
0.5,
9.5,
1.5,
-4,
2,
-5.5,
1.5
] | 0.970733 | [
0.3761024468631493,
-0.07738265629565712,
0.6475562884829317,
0.10517231014089731,
-0.09910018024282424,
-0.4858445235246622,
-0.006956613821335296,
0.1884986896283728,
0.29493495735657904,
0.04245911039400928,
0.03827665897022491,
-0.0061277429999962605,
-0.07357108450363,
0.5191061522546... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 28 |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [34, 12], "expectation_value": -1.4481092819146364, "params": [[-0.0685, -0.0655, -0.055200000000000006, -0.0609], [0.0767, 0.07400000000000001, 0.0653, 0.0689]], "bitstrings": ["011101", "110011"], "total_optimization_steps": 10, "probabilities": [0.03174463417453563, 0.03450486283765994], "optimization_tim... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["111100", "001111", "101011", "110011", "101110", "011101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3263252853866216) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3263252853866216) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3263252853866216) q[1];
cx q[1], q[0];
rz(-0.2868445573421025) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIZII",
"IZZIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
-1
] | 0.67707 | [
0.3263252853866216,
-0.2868445573421025,
0.8549473281324195,
0.15280073471375832,
-0.09601834521733131,
0.07301194046511382,
-0.5945200247002729,
0.6127883089730268,
-0.7279343502043079,
1.0826034920116065,
0.3316483973775847,
-0.3459484728746911,
-0.416855612655761
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 280 |
98ff52dd3a46eb29e6baf499c47cc739 | 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": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [20, 24], "expectation_value": -0.14464847265409048, "params": [[-0.0767], [0.0782]], "bitstrings": ["01011", "00111"], "total_optimization_steps": 10, "probabilities": [0.03392064873529255, 0.03392064873529257], "optimization_time": 0.8302552700042725} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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], q[4];
cx q[3], q[... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
04943d12be9331cc9245456617bb8845 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [506, 442], "expectation_value": -29.370360811478076, "params": [-0.006500000000000001, -0.015000000000000001, 0.0007, 0.0029000000000000002, 0.0046, 0.0008, 0.007500000000000001, 0.0012000000000000001, 0.2121, 0.256, 0.4405, 0.43870000000000003, 0.4163, 0.43720000000000003, 0.40230000000000005, 0.3986, 0.22... | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 14 | 13 | 4 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110001000001", "1110000010000", "1111001000101"], "largest_eigenvalue": 79.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(2.756448642387936) q[4];
rz(-pi) q[5];
ry(-1.4071951647766399) q[5];
h q[6];
ry(1.5747373492012693) q[6];
cx q[6], q[5];
ry(0.47977392536284186) q[5];
cx q[6], q[5];
ry(-0.018776860890256552) q[5];
cx q[0], q[5];
ry(0.01877686... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZIII",
"IZIIIIIIIZIII",
"IZZIIIIIIIIII",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIZIIZIII",
"IIZIIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIIIZIII",
"IIZIIZIIIIIII",
"IZIIIZIIIIIII",
"IIIIIZIZIIIII",
"IIIIIZIIZII... | [
-1,
-2,
2,
2,
-1,
-0.5,
0.5,
-0.5,
-1,
1,
0.5,
-0.5,
1,
-1,
-2,
2,
1,
-1,
2,
1,
0.5,
-0.5,
0.5,
1,
2,
1,
-1,
1,
2,
1,
-0.5,
0.5,
1,
-0.5,
-1,
-0.25,
-1,
1,
2,
11,
5.5,
-4.125,
4,
8,
4,
8,
0,
-0.75,
-0.375
] | 0.971122 | [
-2.4982175662086945,
-1.2959791973212518,
10.693477959740283,
2.756448642387936,
1.5747373492012693,
-0.9595478507256837,
-0.037553721780513104,
-0.09233073908691143,
0.3924196282534974,
0.01592015931431091,
0.17530178727681012,
-0.09689234899048765,
0.07372477176280937,
0.0220347731740424... | {
"n_parameters": 84,
"n_qubits": 13,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 96 |
984069cd50d39f7e5d4b40fb03f5527d | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [50, 116], "expectation_value": -0.16659873698080405, "params": [[0.0728], [-0.07590000000000001]], "bitstrings": ["1001101", "0001011"], "total_optimization_steps": 10, "probabilities": [0.008788201743684297, 0.009140362643533155], "optimization_time": 2.8388402462005615} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.013838034989187923) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(-0.013838034989187923) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[4];
rz(-0.013838034989187923) q[4];
cx q[5], q[4];
rz(-1.5521706... | 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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-0.5,
-1,
0,
-0.5
] | 0.975354 | [
-0.013838034989187923,
-1.5521706068876595,
1.493710746939856,
1.1584724105134467,
-1.7018112302469781
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 25 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.