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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
06224520ded029e940b1fde3f5ab3e3b | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [56, 7], "expectation_value": -2.040631288290112, "params": [[0.0298, 0.058300000000000005, 0.0026000000000000003], [-0.010400000000000001, -0.0478, -0.023]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.02178023584589019, 0.022203012470146506], "optimization_time":... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
dc72488dd6090670edbeccc77e6da35f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [0, 1], "expectation_value": -3.5365685840434056, "params": [[[0.0033, 0.006200000000000001], [0.0027, 0.003], [0.0023, 0.0027], [0.0025, 0.0081], [1.6074000000000002, 0.0039000000000000003]]], "bitstrings": ["11111", "11110"], "total_optimization_steps": 160, "probabilities": [0.4817007880934235, 0.51829180... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.022458364995426305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.7680783155629591) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-1.601733329848004) q[3];
cx q[1], q[3];
rz(-0.5097096949881657) q[1];
rx(-1.660495736858362) 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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x2) q[2];
rx... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-0.25,
0.5,
-0.5,
-1.5,
-0.75,
-1.25,
-0.25,
0.5,
0.25,
0.75
] | 0.981681 | [
-0.022458364995426305,
1.7047053329317832,
-1.7680783155629591,
-1.601733329848004,
-2.8853817213992103,
-0.5097096949881654,
1.464742343611176,
1.1540289150876992,
-1.6604957368583617,
0.003138072776439696,
1.489664131891325,
-1.1346427705466027,
-1.409100124374533,
-1.1761233738238577,
... | {
"n_parameters": 18,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 245 |
39c299614cdca1aeef06b4d05c46dd6e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [0, 1], "expectation_value": -8.632574524560324, "params": [-0.0005, 0.2328, 0.0037, 0.2962, 0.0027, 0.31420000000000003, 0.0016, 0.3125, 0.0049, 0.298, 0.006200000000000001, 0.2508, 0.4057, 0.0015, -0.0028, 0.22840000000000002, 0.0021000000000000003, 0.2868, 0.0021000000000000003, 0.3123, 0.0029000000000000... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @... | 3 | 7 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7064181295083226) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.5297412730546158) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5297412730546158) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.17200761046108... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
2,
-0.25,
-1.25,
-1,
-0.25,
0.25,
-0.25,
-1.5,
2.25,
-0.75,
1.5,
-1.5
] | 0.970254 | [
-0.7064181295083226,
-0.5297412730546158,
-0.17200761046108173,
-0.6740578736102405,
0.8462304399433741,
-0.026248018073850438,
-2.2768178154757654,
-0.5136227084208217,
-2.491855359334902,
1.952256177134018,
-3.0458677864148798,
0.7066984414159515,
0.5264021877728264,
0.1704299764678417,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 230 |
6b8130ebe692df9628e386b5e0979c6b | 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": 6, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [442, 223], "expectation_value": -1.1754742668244271, "params": [[-0.2043, 0.5324, -0.22080000000000002, -0.5597, -0.1462, 0.2639, 0.0405, -0.0057, -0.5429], [0.4743, 0.1134, -0.2519, 0.5645, -0.079, 0.5700000000000001, 0.0054, 0.042800000000000005, -0.5618000000000001], [-0.5495, -0.4661, 0.5738, -0.0009000... | -1.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(7) ... | 9 | 9 | 4 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100100000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(6.559788928862443e-05) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.0006071732094547039) q[2];
cx q[3], q[2];
h q[4];
cx q[0], q[4];
rz(0.0006071732094547039) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(-0.000436579732551... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"... | [
-1.5,
-0.25,
-0.5,
-1.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1.5,
-1,
2.5,
-0.75,
-0.75,
-1,
-4.5,
-0.25,
-0.25,
2.25,
-1,
4,
-0.5,
0.25,
0
] | 0.920984 | [
0.00006559788928862443,
0.0006071732094547039,
-0.00043657973255185954,
-1.3723993708486912,
0.0016630031053749938,
1.5667939678901213,
1.3985481350996867,
-0.001574725502075238,
-0.19110643729091945,
1.5813730521788851,
0.19296103726698885,
1.7097749896873955,
1.6835930808653674,
-1.37315... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 500 |
546af37f43be038fdb3ee767af398a34 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [41, 169], "expectation_value": -5.436690769360946, "params": [0.6003000000000001, 0.007500000000000001, 0.0921, 0.39990000000000003, 0.6063000000000001, 0.0901, 0.0013000000000000002, 0.3673, 0.6043000000000001, 0.0035, 0.0816, 0.3766, 0.0025, 0.393, 0.6034, 0.1579, 0.5966, 0.0115, 0.0883, 0.4035, 0.6091, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) ... | 3 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["01010110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7754886637417788) q[0];
rz(-0.009458251812406004) q[0];
rx(0.08954776557636532) q[1];
rz(0.5482814056763274) q[1];
rx(0.8162744950277995) q[2];
rz(-0.16271165361048023) q[2];
rx(0.0461447815137179) q[3];
rz(0.12044493125472577) q[3];
rx(1.5440150722519501) 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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZZIIIIII",
"IIIIZZII",
"IIZIIZII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2.5,
-1.5,
-2,
-1,
-0.5,
0
] | 0.971731 | [
0.7754886637417787,
-0.08186880253002654,
0.08954776557636532,
0.5726011799058539,
0.8162744950277996,
0.015681205098900745,
0.0461447815137179,
0.019769155073436934,
1.54401507225195,
-0.014459841210388437,
0.037335243757093364,
0.3788879764151028,
0.06327539392236131,
0.3926164986013207,... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 12 |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 14], "expectation_value": -0.13727575856341917, "params": [[-0.041600000000000005, -0.040400000000000005, -0.0388, -0.0105], [0.052500000000000005, 0.045700000000000005, 0.0466, 0.0224]], "bitstrings": ["1110", "0001"], "total_optimization_steps": 10, "probabilities": [0.06941031075452218, 0.076273056214... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] ... | null | {"circuits": [], "gradients": []} | [
"ZIIZ",
"ZIZI",
"ZZII",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
0.5,
0.5,
0.5,
-1,
0,
0,
0
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
2f79ad3d343f71eb56d0f1ba14677c5f | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [0, 48], "expectation_value": -6.903174898737332, "params": [1.056, 0.744, 0.0027, 0.0036000000000000003, 0.0025, 0.0025, 0.0027, 0.0027, 0.0026000000000000003, 0.0027, 0.21030000000000001, -0.1724, -1.1756, -0.0585, 1.5987, 0.14800000000000002, 0.2074, 1.5911000000000002, 1.326, -0.0011, 1.2634, 1.3288, 1.2... | -1.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(4)) + -2.0 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(4) + -2.0 * Z(2) + 1.5 * Z(3) + 1.0 * Z(5) | 14 | 6 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["001111"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0698748935450855) q[0];
cx q[1], q[0];
rz(-1.4077561688683309) q[0];
rx(-1.3506614933688552) q[0];
rz(-1.4077561688683309) q[1];
rx(-1.3506614933688552) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.009851043646823326) q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIZII",
"IZZIII",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-1,
1,
-2,
-2.5,
-2,
0.5,
0.5,
0.5,
-1.5,
-2,
1.5,
1
] | 0.765668 | [
-3.0698748935450855,
0.009851043646823326,
-0.345976474610436,
-1.3823315715627367,
-1.4077561688683307,
-1.673158217705588,
-0.20889296292534484,
-1.3506614933688552
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 211 |
b2c25a19a038d07471a5450910ba4971 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [3, 6], "expectation_value": -2.2052451376271427, "params": null, "bitstrings": ["11100", "11001"], "total_optimization_steps": 16, "probabilities": [0.057338861254463774, 0.9026324643853599], "optimization_time": 10.320122957229614} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZZI",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.5,
-0.25,
-0.25,
-0.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
6d259388045d20d69ae4242ad2e143d7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1, 9], "expectation_value": -0.2207874791776965, "params": [[0.0801], [-0.0862]], "bitstrings": ["11110", "10110"], "total_optimization_steps": 10, "probabilities": [0.03676490716310547, 0.03820011345460961], "optimization_time": 1.1261873245239258} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.2266707306631195) q[0];
h q[1];
ry(1.0272541345090267) q[1];
ry(-0.5861463410328833) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.6625309996307737) q[3];
h q[4];
cx q[4], q[0];
ry(0.2266707306631195) q[0];
cx q[4], q[0];
ry(-1.161710436049223) q[0];
ry(1.320414490855... | 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[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[3];
rz... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IZIZI",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-1,
-0.25,
0.5,
0.25,
0.5
] | 0.974474 | [
-0.453341461326239,
1.3204144908550612,
-1.0707147283862435,
2.0545082690180534,
0.03783762275645283,
-1.3250619992615473,
-0.18199141532595858,
-1.1961211419101938,
-0.3696846406039731,
-0.5697898662685712,
0.6076384529352682,
-0.454147025534971,
-0.17281825067926812,
-1.0626170488715485
... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 17 |
1949b28e1aa10ea2a276346fd4c09def | 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": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": ... | {"states": [2046, 1534], "expectation_value": -18.835439594696798, "params": [[[-0.0028, -0.0024000000000000002], [0.0021000000000000003, 3.1565000000000003], [-1.6283, 0.002], [0.002, 0.0024000000000000002], [-0.0033, 0.0026000000000000003], [0.002, 0.0023], [0.0019, 0.002], [0.002, 0.002], [0.002, 0.002], [0.0033, 0.... | -0.75 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(11) @ Z(0)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(11)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(10) @ Z(4)) + -0.75 * (Z... | 15 | 12 | 1 | {"smallest_eigenvalues": [-20.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["101000000001"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.06813522453985596) q[0];
ry(0.17584722051751664) q[1];
ry(1.258010477981235) q[2];
ry(0.0030119030717069145) q[3];
ry(0.0030119030717069145) q[4];
ry(-0.006822123741226881) q[5];
ry(-0.006822123741226881) q[6];
ry(0.023107305974111217) q[7];
ry(0.05304853184142048... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIZIIIZI",
"ZIIIIIIIIIZI",
"IIIIIZIIIIZI",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIIZIIIIIIZI",
"IZIIIIIZIIII",
"IZIIIIZIIIII",
"ZZIIIIIIIIII",
"IZIIIIIIIZII",
"IZIIIIIIIIZI",
"IZIIIZIII... | [
-0.75,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
2.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.25,
-1.5,
-0.25,
1.25,
-... | 0.971451 | [
0.06813522453985596,
0.17584722051751664,
1.258010477981235,
0.0030119030717069145,
-0.006822123741226881,
0.023107305974111217,
0.053048531841420485,
-0.10898275606818371,
0.12034127863918324,
-0.585214089273056,
0.03208377583704284,
0.02760784330248979,
0.01161688394455493,
-0.0163271609... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -20.25,
"target_ratio": 0.97,
"target_value": -19.6425
} | 50 |
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": -0.25628477943279204, "params": [[-0.045000000000000005, 0.0246, 0.0653], [0.0666, 0.024300000000000002, -0.0402]], "bitstrings": ["110001", "110010"], "total_optimization_steps": 10, "probabilities": [0.017681443982062978, 0.01802078216890908], "optimization_time": 3.746775865... | 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 | 3 | {"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] 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": []} | [
"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 |
646c4ffdec7c3b688313fcfec6df6ea9 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 3, "target": 1}, {"source": 1, "target": 4}]} | {"states": [23454, 23286], "expectation_value": -2.8485937980055462, "params": [[0.17220000000000002], [-0.1786]], "bitstrings": ["010010001100001", "010010100001001"], "total_optimization_steps": 20, "probabilities": [0.00012586119129682642, 0.00012586119129682642], "optimization_time": 6.545474290847778} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 11 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999979], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999956, "smallest_bitstrings": ["010010100001001"], "largest_eigenvalue": 28.50000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | 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[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(x0) q[0];
cx q[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1,
1,
1,
1,
1,
1,
1.25,
1.25,... | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
f20b14ccaf46fd91ed39b9c05edbe906 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 1, "target"... | {"states": [14263, 14261], "expectation_value": -8.702701355545823, "params": [0.6074, -0.5579000000000001, 1.2665, -0.36960000000000004, 1.5722, -0.0004, 0.5890000000000001, 0.7033, 1.4465000000000001, 0.32280000000000003, 1.5637, 0.0216, 1.5652000000000001, -0.005, 1.4123, 0.0476, 0.5848, -0.6011000000000001, 1.63340... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 3 | 15 | 2 | {"smallest_eigenvalues": [-10.249999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.249999999999936, "smallest_bitstrings": ["100100001001010"], "largest_eigenvalue": 30.75000000000002} | 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] 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1.25,
1.2... | 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 |
1ce7579bad1d70215dde09b831375519 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [110, 109], "expectation_value": -73.66539429225821, "params": [0.0025, 1.53, 0.0006000000000000001, 1.2152, 1.0454, -0.0155, 1.0696, 0.2316, 0.0026000000000000003, 1.1094000000000002, 1.0535, -0.0081, 1.1340000000000001, 0.033, 0.9095000000000001, -0.049100000000000005, 1.0317, 0.062400000000000004, 0.0056,... | 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(1) @ Z(3)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 12.0 * Z(3) + 20.5 * Z(2) + 2.5 * Z(1) + 18.0 * Z(5) + 3.0 * Z(4) + 14.0 * Z(6... | 18 | 9 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["110010010"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.005278922927201859) q[0];
rz(1.6022014565630078) q[0];
rx(-0.025517413088350722) q[1];
rz(1.337767165999077) q[1];
rx(1.3381783595697039) q[2];
rz(-0.07844618586246865) q[2];
rx(1.1363894337136986) q[3];
rz(0.15447597485501605) q[3];
rx(0.10341790510052769) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12,
20.5,
2.5,
18,
3,
14,
7.5,
1.5,
-9
] | 0.973506 | [
0.005278922927201859,
1.583012663891752,
-0.025517413088350722,
1.337767165999077,
1.3381783595697039,
-0.07844618586246865,
1.1363894337136986,
0.15447597485501605,
0.10341790510052769,
1.1409514645381496,
1.145544585401855,
-0.08105302392860367,
0.9886746856995601,
0.19476949317849443,
... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 6 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2909, 2910], "expectation_value": -6.249735496837667, "params": null, "bitstrings": ["010010100010", "010010100001"], "total_optimization_steps": 100, "probabilities": [0.05709175034322553, 0.8163099224805773], "optimization_time": 245.08961844444275} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
f42f60bb0bb033a90edc3f33834ff9ec | 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": [1161, 1177], "expectation_value": -49.6865683119268, "params": [[[-0.0045000000000000005, -0.0033], [1.5670000000000002, 1.5683], [-0.8602000000000001, 1.5686], [-1.0489, 1.5434], [1.4314, 1.6199000000000001], [-1.5844, 1.5681], [-0.38770000000000004, 1.5811000000000002], [1.8097, 0.0398], [1.7955, 0.3105],... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(11) @ Z(4)) + 8.0 * (Z(11) @ Z(6)) + -6.0 * Z(2) + 8.0 * Z(1) + 17.5 * Z(4) + 3.0 * Z(3) + 4.5 * Z(6) + 14.0 * Z... | 15 | 12 | 1 | {"smallest_eigenvalues": [-143.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -135.0, "smallest_bitstrings": ["101101100110"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.06836613184666987) q[0];
ry(0.669363081199545) q[1];
ry(0.2770652942221373) q[2];
ry(0.02123343049534407) q[3];
ry(0.7223923585795919) q[4];
ry(0.22252040643037838) q[5];
ry(-0.11058990903959703) q[6];
ry(0.15541064162295673) q[7];
ry(0.9794959385721642) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIZZIII",
"IIIIIZIZIIII",
"IIIIZIIIZIII",
"IIIZZIIIIIII",
"IIIZIIZIIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IZIIIIIIIIZI",
"ZIIIIIIZIIII",
"ZIIIIZIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIIZIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-6,
8,
17.5,
3,
4.5,
14,
15,
-4,
0.5,
-6.5,
8.5,
-15.5
] | 0.97306 | [
-0.06836613184666987,
0.669363081199545,
0.2770652942221373,
0.02123343049534407,
0.7223923585795919,
0.22252040643037838,
-0.11058990903959703,
0.15541064162295673,
0.9794959385721642,
-0.3313425970165009,
-0.129938603278907,
0.8088438692200302,
0.19838825515113792,
0.565350938623521,
0... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -143,
"target_ratio": 0.97,
"target_value": -138.71
} | 16 |
-8520210685024926198 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 6], [3, 6], [0, 5], [1, 5], [4, 6]]} | {"states": [67, 97], "expectation_value": -2.0876266949209286, "params": null, "bitstrings": ["0111100", "0011110"], "total_optimization_steps": 41, "probabilities": [0.05242522104702053, 0.7984097784503936], "optimization_time": 43.91512370109558} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(6) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011110", "1101100", "0000011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2818003108364889) 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(-0.2818003108364889) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.2818003108364886) q[2];
rx(0.794490877865968) q[2];
rz(-0.281800310836488... | 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[1], 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... | [
"IIIIZIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIIZ",
"IZIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666674,
0,
0,
0,
0
] | 0.588604 | [
-0.2818003108364889,
-1.0079241077894627,
0.09223844971083339,
0.7944908778659682
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 106 |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [89, 101], "expectation_value": -0.14758008200989575, "params": [[0.07300000000000001, 0.0776], [-0.0596, -0.0733]], "bitstrings": ["0100110", "0011010"], "total_optimization_steps": 10, "probabilities": [0.010025008512715613, 0.01002500851271562], "optimization_time": 5.486189603805542} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h 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] 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"III... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0.125,
0,
-0.625,
0.125
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
b93e7e87e2621c92c7ba04b041c49bf3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [18, 41], "expectation_value": -0.2785029148637214, "params": [[0.057600000000000005, 0.0601], [-0.047, -0.050300000000000004]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.018401945231199122, 0.019499967049729932], "optimization_time": 3.7868494987487793} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) 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[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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], ... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
55715f78561b69d45cf400143cb08036 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [302, 46], "expectation_value": -5.35818980596922, "params": [[[0.7209, -0.049], [-0.0032, 0.44], [0.0029000000000000002, -0.46440000000000003], [0.9065000000000001, -0.0028], [0.0044, 0.43920000000000003], [0.9061, -0.0024000000000000002], [0.8504, -0.0], [0.9038, -0.0023], [-0.0048000000000000004, -0.4269]... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["011010101", "111010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-2.1173399013476133) q[0];
ry(0.25236425135774165) q[0];
rz(2.191027355543415) q[0];
rz(-1.0805126576950563) q[1];
ry(0.1367543086751468) q[1];
rz(1.021038888888719) q[1];
rz(1.593695965728089) q[2];
ry(0.07940555710330333) q[2];
rz(-2.1937426778443796) q[2];
rz(-1.8... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIZIII",
"IIIIIZIZI",
"ZIIZIIIII",
"IIIZIIIZI",
"IZIIIIZII",
"IZIIIIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-2,
-1,
-1,
-1,
-1,
-1
] | 0.975028 | [
-0.05265584543656453,
-0.6752196996340456,
0.20196187522875234,
0.2000828654614854,
0.34443017816837507,
-0.006933546107604133,
1.513835713687413,
0.1022066259181035,
-0.04775401261047046,
0.6092671743169731,
1.3526508516876066,
0.2620023923177705,
1.4113157302423558,
0.5367496567896783,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 24 |
2040470683132563755 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 3], [0, 1, 4], [3, 5], [2, 4], [0, 5], [4, 5], [1, 3, 4]]} | {"states": [25, 38], "expectation_value": -0.037514333935470656, "params": [[0.060000000000000005], [-0.048600000000000004]], "bitstrings": ["100110", "011001"], "total_optimization_steps": 10, "probabilities": [0.01651112973298937, 0.01657214281425328], "optimization_time": 1.7617270946502686} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.05173882427267222) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.05173882427267222) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.3497386596433586) q[3];
cx q[1], q[3];
cx q[1], q[0];
rz(-0.05173882427267222) q[0];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x1) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"IIIIZZ",
"IZIZII",
"IZIIZI",
"IZZIII",
"IZIIIZ",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIIZII",
"IIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0.5,
0.33333333333333326,
0.16666666666666663,
0.33333333333333326,
0
] | 0.506322 | [
-0.05173882427267222,
0.3497386596433586,
0.8389200948857659,
-0.212834939642454,
-0.8237042942239226
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.666666666666667,
"target_ratio": 0.97,
"target_value": -2.586666666666667
} | 125 |
c835fa1e3e69cb531a622e34cffeb2bc | 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": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [216, 218], "expectation_value": -48.25420584016924, "params": null, "bitstrings": ["100100111", "100100101"], "total_optimization_steps": 100, "probabilities": [0.051285973196568635, 0.25117832528127026], "optimization_time": 180.0962290763855} | 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(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 180.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.012688580307125708) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.012688580307125708) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.012688580307125708) q[1];
cx q[0], q[1];
rz(1.5707728208002596) q[0];
rx(1.5719309045425545) q[0];
h q[3... | 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[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
3.5,
19,
18.5,
4.5,
18.5,
3,
23.5,
11
] | 0.951132 | [
0.012688580307125708,
-1.5707841880784301,
1.5707728208002592,
-1.5707826865525911,
-1.5708294960872318,
1.5707747758463055,
-1.5707792663486049,
1.5707593339003678,
1.5719309045425545
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 231 |
670daa6e034726b8ea64bfcf7b90eb4c | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3},... | {"states": [2011, 2015], "expectation_value": -15.675594676109284, "params": null, "bitstrings": ["00000100100", "00000100000"], "total_optimization_steps": 100, "probabilities": [0.09382458809117544, 0.3805881279583274], "optimization_time": 294.03691053390503} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.5 * (Z(8) @ Z(7)) + 1.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["00000100000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.6489601368927522) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.6489601368927522) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.6489601368927522) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.6489601368927... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIIZIZI",
"IIIZZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIII... | [
-2.5,
-2.5,
-1.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.532 | [
-0.6489601368927522,
-1.1362236458144548,
-0.11885634869919376,
-0.8266673840557922,
-0.3052664254047174,
-1.570796295666398,
-0.9605498052680749
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 208 |
c76cc7fae6b2b79c3a2e42661a89d7e4 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [1000, 1016], "expectation_value": -10.900819676056518, "params": null, "bitstrings": ["0000010111", "0000000111"], "total_optimization_steps": 100, "probabilities": [0.10156666724328013, 0.5161205295418501], "optimization_time": 154.73077583312988} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-15.0, -15.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.0, "smallest_bitstrings": ["0000000100", "0000000111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.18872989177382343) q[0];
rz(2.667414545535653) q[0];
rx(-0.4595761321326567) q[1];
rz(1.7593517952242035) q[1];
rx(-1.5887179083404317) q[2];
rz(-3.0741596700907916) q[2];
rx(-2.4322051996601246) q[3];
rz(-3.0133205492442636) q[3];
rx(-2.2208383700599112) q[4];
r... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIZIZIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIIIZZIIII",
"IIIIIZZIII",
"IIIZIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIZIIIIIII"... | [
-1.5,
-1.5,
0.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.939599 | [
-0.18872989177382343,
1.0966182187407572,
-0.4595761321326567,
0.18855546842930693,
-1.5887179083404317,
1.6382293102938978,
-2.4322051996601246,
1.699068431140426,
-2.2208383700599112,
1.3022953242263415,
-2.046414210630835,
1.2122967551148514,
-1.3903251883658176,
1.0986831043396448,
-... | {
"n_parameters": 100,
"n_qubits": 10,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 500 |
c74167a186ef9c06e73f7bbbf8de6ec0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [69, 85], "expectation_value": -2.9566682920587617, "params": [0.4068, -0.07830000000000001, 0.3996, -0.0028, 0.002, 0.20170000000000002, -0.004, 0.1965, 0.4002, -0.0398, 0.39880000000000004, 0.017400000000000002, 0.0011, 0.19740000000000002, -0.0051, 0.1892, 0.403, -0.0363, 0.40130000000000005, -0.001800000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) | 5 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.041251712218491) q[0];
rz(0.580050011553691) q[0];
ry(0.23646985773661366) q[1];
rz(0.46970932330323645) q[1];
cx q[1], q[0];
ry(-0.044856563565926946) q[0];
rz(0.3955318483577836) q[0];
ry(0.7797338022827801) q[1];
rz(-0.08414341469060317) q[1];
ry(-0.66695651907... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZZI",
"IIIZZII",
"IZIIZII",
"ZIIIIZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-0.5,
-1,
0,
0
] | 0.971722 | [
-0.041251712218491,
0.580050011553691,
0.23646985773661366,
0.46970932330323645,
-0.666956519071666,
-0.018768719039308997,
0.024764447430296842,
0.5942090720854358,
0.04049400832053474,
0.7824465811501837,
-0.024260433111440733,
-0.3679413909186362,
0.030051998326202825,
0.091696359446894... | {
"n_parameters": 126,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 65 |
965cefed52e621c4c90674f817650a6a | 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": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1... | {"states": [63, 17], "expectation_value": -4.435294266875035, "params": [[0.1579, 0.15660000000000002], [-0.1515, -0.159]], "bitstrings": ["1000000", "1101110"], "total_optimization_steps": 20, "probabilities": [0.05272319359370068, 0.060865148164759846], "optimization_time": 2.837437152862549} | -0.75 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.75 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + -0.5 * Z(4) + 2.25 * Z(2) + -0.75 * Z(3) +... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1371628149450172) q[0];
rz(0.10881632348659742) q[0];
rx(0.1864024038899948) q[1];
rz(-0.3195045955826069) q[1];
rx(2.9880337255288247) q[2];
rz(0.22207265633894677) q[2];
rx(-0.13106700905450344) q[3];
rz(0.2476665926713589) q[3];
rx(-0.13106700905450344) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IZZIIII",
"IIZIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-1.5,
-1.5,
-0.75,
-0.75,
-1.5,
-0.75,
1,
-0.25,
-0.75,
-0.75,
-0.25,
0,
-0.5,
2.25,
-0.75,
0
] | 0.97292 | [
0.1371628149450172,
0.10881632348659742,
0.1864024038899948,
-0.3195045955826069,
2.9880337255288247,
0.22207265633894677,
-0.13106700905450344,
0.2476665926713589,
-0.3079948270469457,
-0.013323840461271053,
0.4235835529470447,
2.634184532901478
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
a2fbaabb441862c2d900444ba4ef581f | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"sour... | {"states": [0, 255], "expectation_value": -10.2462354301744, "params": [-0.014400000000000001, 2.0552, 0.0597, 1.9945000000000002, 0.46390000000000003, 0.2843, -0.1952, 1.0107000000000002, 0.533, 1.9871, 0.1589, 1.7105000000000001, 0.8174, 2.1844, 0.1136, 1.739, 1.0049000000000001, -0.20670000000000002, 0.0574, 0.9808,... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + -1.5 * Z(3) + 0.5 * Z(7) + 0.5 *... | 6 | 8 | 2 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.7764543382615098) q[0];
h q[1];
h q[2];
ry(0.7764543382615098) q[2];
h q[3];
cx q[3], q[0];
ry(-0.7764543382615098) q[0];
cx q[3], q[0];
cx q[0], q[2];
ry(-0.7764543382615098) q[2];
cx q[0], q[2];
ry(0.7002597165335359) q[3];
cx q[2], q[3];
ry(-0.7002597165... | OPENQASM 3.0;
include "stdgates.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": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"ZIIZIIII",
"ZIZIIIII",
"IIZZIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-2,
0.5,
-2,
0.5,
-2.5,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
1,
1,
-1.5,
0.5,
0.5,
0.5,
0.5
] | 0.970087 | [
1.5529086765230196,
1.4005194330670718,
0.40237204648068225,
-0.09376543888589753,
-0.046401815825918555,
-0.008744464231031666,
1.5555361986029896,
1.5248553912298526,
0.26027667893325784,
1.5884109237826554,
-0.0050619828964441095,
-0.025664419265411846,
-0.02930090343304319,
-0.29153197... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 242 |
6e17e4bb174cd78717f73e0890184d89 | 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}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "targ... | {"states": [8190, 16383], "expectation_value": -12.449096609741469, "params": [[[-0.9215000000000001, 1.1982000000000002], [-0.0025, 1.0326], [-0.0274, 0.0025], [0.0022, 0.0012000000000000001], [0.0028, -0.0035], [0.0014, 0.0028], [0.0026000000000000003, 0.002], [0.0023, 0.0021000000000000003], [-0.00030000000000000003... | -2.0 * (Z(0) @ Z(7)) + -2.0 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + -1.5 * (Z(9) @ Z(10)) + -1.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + -1.5 * (Z(12) @ Z(13)) + -2.0 * (Z(2) @ Z(13)) + 0.5 * (Z(2) @ Z(12)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4... | 15 | 14 | 1 | {"smallest_eigenvalues": [-20.000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.999999999999932, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 24.00000000000006} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(-0.19927920011432187) q[0];
ry(0.34424117581540403) q[1];
ry(-0.21001620449411654) q[2];
ry(0.02803673379608343) q[3];
ry(0.04131706201964874) q[4];
ry(0.14348270047337436) q[5];
ry(0.02001865056492981) q[6];
ry(0.03489052232622782) q[7];
ry(0.19545030030411717) 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[... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIIIZ",
"IIIIIIZIIIIIZI",
"IIIIIIIIIIIIZZ",
"IIIIIZZIIIIIII",
"IIIIIZIIIIIIIZ",
"IIIIIZIIIIIIZI",
"IIIZZIIIIIIIII",
"IIZZIIIIIIIIII",
"IIZIZIIIIIIIII",
"ZZIIIIIIIIIIII",
"ZIIIIIIIIIIZII",
"IZIIIIIIIIIZII",
"IIIIIIIIIZZIII",
"IIIIIIIZIZIIII",
"IIIIIIIZIIZIII",
"IIIIIIIIZZIIII"... | [
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-2,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.973099 | [
-0.19927920011432187,
0.34424117581540403,
-0.21001620449411654,
0.02803673379608343,
0.04131706201964874,
0.14348270047337436,
0.02001865056492981,
0.03489052232622782,
0.19545030030411717,
0.04948985765536067,
0.08583702531813461,
3.1878447409737913,
-0.15707460884375468,
-0.059966898985... | {
"n_parameters": 23,
"n_qubits": 14,
"optimal_eigenvalue": -20.000000000000004,
"target_ratio": 0.97,
"target_value": -19.400000000000002
} | 37 |
bbe36c72142a04c8b1698fed3f77c25c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [18, 17], "expectation_value": -1.8815378384709842, "params": [[-0.07740000000000001], [0.0786]], "bitstrings": ["01101", "01110"], "total_optimization_steps": 10, "probabilities": [0.04029756871745482, 0.040297568717454824], "optimization_time": 1.4442808628082275} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
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;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
1.75,
2,
-3,
-2.5,
-3,
-2.5,
-2.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
206b6c7126e1a43a7c0a57973e02662d | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [183, 119], "expectation_value": -0.8529637625296158, "params": [[0.0756, 0.0689], [-0.0698, -0.0557]], "bitstrings": ["101001000", "110001000"], "total_optimization_steps": 10, "probabilities": [0.0028081178614056245, 0.0028081178614056262], "optimization_time": 3.444364070892334} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7716469204925558) q[0];
h q[1];
ry(-0.419743548754394) q[1];
h q[2];
cx q[2], q[1];
ry(0.419743548754394) q[1];
cx q[2], q[1];
ry(-0.3394805577791961) q[1];
ry(1.0930006028280734) q[2];
h q[3];
ry(1.59285799405076) q[3];
rz(-pi) q[4];
ry(-3.136526372442517... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-1,
0.5,
1,
1.5,
0,
1.5,
1.5,
-0.5
] | 0.979066 | [
1.59285799405076,
1.5261005232355722,
-1.5432938409851116,
-1.35113857066744,
0.770395955888187,
-0.4800519968211978,
0.6181638241406239,
-0.17087313757605851,
-0.839487097508788,
0.8636913290500219,
-0.6789611155583922,
0.4586185475561028,
-0.41596033641871777,
-0.0189624931872691,
0.18... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
2c71b067381ef1c33c379c68c7a1f361 | 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": 1, "target": 2}, {"source": 3, "target": 4},... | {"states": [63, 511], "expectation_value": -0.19064817760756458, "params": [[0.018600000000000002], [-0.0263]], "bitstrings": ["11111000000", "11000000000"], "total_optimization_steps": 10, "probabilities": [0.0005245922251523661, 0.0005276560485097696], "optimization_time": 0.7885532379150391} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(5)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(6)) + -3.0 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-1.6903996198568967) q[0];
rz(-pi) q[1];
ry(-0.23886872914101348) q[1];
h q[2];
ry(0.2630923403120054) q[2];
h q[3];
ry(0.9577470233378113) q[3];
h q[4];
h q[5];
ry(0.2630923403120054) q[5];
h q[6];
h q[7];
ry(0.2630923403120054) q[7];
h q[8];
ry(0.263092340... | 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": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IZIIZIIIIII",
"IZIIIZIIIII",
"IZIZIIIIIII",
"ZIIIZIIIIII",
"ZIIIIZIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIZIIZIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZI... | [
-1.5,
-1.5,
-1.5,
0.5,
-2.5,
-2,
-2.5,
1,
-2.5,
-2,
0.5,
-3,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971489 | [
0.5261846806240108,
1.0991755063821804,
2.240636114140289,
-0.5792907933365754,
1.4365861706268375,
0.21306166089022563,
0.45358297795237745,
0.08567003434263909,
1.6371767945390743,
1.9154940466756225,
-1.9959010417352376,
-1.6903996198568967,
1.823290820555195,
1.5630996652331441,
-1.3... | {
"n_parameters": 65,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 304 |
d145df48f3d4b9dacf7afcdf50767dfd | 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": [343, 342], "expectation_value": -25.820143698876965, "params": [0.2594, 0.0009000000000000001, 1.713, 0.0004, 0.0015, 0.0028, 1.7002000000000002, 0.007, 0.2762, 0.0004, 1.7053, 0.0056, 0.44630000000000003, 0.0063, 1.7042000000000002, 0.006500000000000001, 1.7058, 0.002, 1.52, 0.003, 0.0098, 0.00240000000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(9)) + 6.5 * Z(1) + -4.0 * Z(0) + -6.5 * Z(2) + -4.0 * Z(4) + 9.5 * Z(3) + -1.5 * Z(5) + -3.5 * Z(6) + 10.0 * Z(7) + 0.5 * Z(9) + 12.5 * Z(8) | 18 | 10 | 1 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["1010101001"], "largest_eigenvalue": 93.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.4716420483619595) q[0];
rz(-0.4538225765773731) q[0];
rx(3.1906907189883666) q[1];
rz(0.9213256269993184) q[1];
rx(0.17095823293205137) q[2];
rz(0.4193098992175772) q[2];
rx(3.243704033838323) q[3];
rz(-0.2597442564222152) q[3];
rx(0.053011192623263204) 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, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIZZIIIII",
"ZIZIIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
6.5,
-4,
-6.5,
-4,
9.5,
-1.5,
-3.5,
10,
0.5,
12.5
] | 0.97746 | [
-0.47164204836195944,
-0.27068564577000354,
3.1906907189883666,
0.9213256269993184,
0.17095823293205137,
0.4193098992175772,
3.243704033838323,
-0.2597442564222152,
0.053011192623263204,
3.152348899498717,
-0.1736617326356556,
0.04478435753570041,
-0.2111375449371905,
3.070272447981542,
... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 24 |
775e030e99ff32cea6c4b1020b987e5f | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": ... | {"states": [1010, 1022], "expectation_value": -15.848819647110115, "params": null, "bitstrings": ["0000001101", "0000000001"], "total_optimization_steps": 100, "probabilities": [0.08117103958000452, 0.4796549651318015], "optimization_time": 247.86293005943298} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(1) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + -2.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.8456577567171069) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.0027584152931827573) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.5353877474183707) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.0027584152931827573) q[4];
cx... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[0], 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] = measu... | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIZIZIIIII",
"IZZIIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"IZIZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIIIIIZI"... | [
-2,
0.5,
-2.5,
0.5,
-2.5,
-2,
1,
-2,
-2,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.552969 | [
0.8456577567171069,
0.0027584152931827573,
0.5353877474183707,
0.47609579346220293,
1.5707964117018383,
0.9841419398750206
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 162 |
172151485159681391 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [5, 7], [0, 3], [0, 2], [3, 5], [3, 4], [4, 6], [2, 6], [5, 6], [4, 5], [1, 7]]} | {"states": [116, 139], "expectation_value": -0.11050329484584677, "params": [[-0.0704], [0.0731]], "bitstrings": ["10001011", "01110100"], "total_optimization_steps": 10, "probabilities": [0.004486510308475723, 0.004486510308475723], "optimization_time": 0.5913534164428711} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(4) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01110100", "10001011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.7831713427346505) q[1];
h q[2];
ry(-0.1206238178440351) q[2];
h q[3];
ry(-0.18175441531112224) q[3];
h q[4];
h q[5];
ry(-0.1206238178440351) q[5];
cx q[4], q[5];
ry(0.1206238178440351) q[5];
cx q[4], q[5];
ry(-0.27840227712918936) q[5];
ry(0.398645... | 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[3];
rz(x0) q[3];
cx q[7], q[3];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[3]... | null | {"circuits": [], "gradients": []} | [
"ZIIIZIII",
"ZIZIIIII",
"IIZIZIII",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IZZIIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI"
] | [
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
] | 0.971017 | [
-0.2412476356880702,
1.4421695818161333,
-0.0741823883879647,
1.0945625991040067,
-0.3635088306222445,
1.5137245942920865,
-1.566342685469301,
-0.30441076621914864,
-0.16531206935248022,
0.7972900248343905,
-0.5568045542583787,
-0.8288302726614959,
0.4183499809127038,
0.8661677168838836,
... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 36 |
747de4cdf6f4d8e013f44791f51c504b | 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": [907, 651], "expectation_value": -68.8062537498038, "params": [0.0019, 0.0059, 0.3982, 0.4042, 0.3628, 0.33480000000000004, 0.3952, 0.3985, 0.19640000000000002, 0.1951, 0.1796, 0.1759, 0.1842, 0.1867, 0.40490000000000004, 0.4027, 0.1115, 0.06470000000000001, 0.4045, 0.4042, 0.3996, 0.3971, 0.005, -0.0011, 0.... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(5)) + 3.5 * Z(2) + 8.5 * Z(1) + 17.0 * Z(3) + 4.0 * Z(4) + 1.5 * Z(5) + 7.5 * Z(7) + 1.0 * Z(6) + 10.0 *... | 14 | 11 | 3 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10101110100"], "largest_eigenvalue": 134.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.39535939766797756) q[0];
ry(0.4644658050227746) q[1];
ry(0.11718705652988126) q[2];
ry(0.8218374887811817) q[3];
ry(-0.0170198104097474) q[4];
ry(-0.13198341428182137) q[5];
ry(0.21388948458931742) q[6];
ry(0.5664897569283869) q[7];
ry(0.0029524894477538366) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIZIIZIIII",
"IIIIZIIIIZI",
"IIIZZIIIIII",
"IZIIIIIIZII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZIIIIZIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3.5,
8.5,
17,
4,
1.5,
7.5,
1,
10,
-6,
7.5,
-10
] | 0.97072 | [
0.39535939766797756,
0.4644658050227746,
0.11718705652988126,
0.8218374887811817,
-0.0170198104097474,
-0.13198341428182137,
0.21388948458931742,
0.5664897569283869,
0.0029524894477538366,
0.3375587501128605,
0.9600574472566636,
-0.000458432916021506,
-0.0162907667961763,
-0.07256545102351... | {
"n_parameters": 87,
"n_qubits": 11,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 74 |
348c13052b9cd507aa792296e385f0a4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -0.5761798005279672, "params": [[0.08170000000000001], [-0.0883]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.011253977996191081, 0.011697673364871031], "optimization_time": 1.6580288410186768} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.06478935654218318) q[0];
rz(0.010473094700834906) q[0];
rx(-0.21029945099044114) q[1];
rz(0.36193904458961335) q[1];
rx(-0.12407138095515016) q[2];
rz(0.046088532858524545) q[2];
rx(0.1874119633339978) q[3];
rz(0.35704809683533245) q[3];
rx(-0.0838195345979585) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-1,
-0.75,
-0.5,
2,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0.75,
1.5,
-1,
-0.5,
-0.25
] | 0.979758 | [
0.06478935654218318,
0.20218073164039307,
-0.21029945099044114,
0.4704675727431508,
-0.12407138095515018,
0.33009272048242233,
0.18741196333399776,
0.12867352073879185,
-0.08381953459795849,
-0.28813328048276804,
0.29408685795202144,
-0.42763869643912095,
0.9971024611824714,
0.068911216138... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 8 |
5553656892389874166 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 2, 7], [0, 3, 5, 6, 8, 9, 10], [0, 4, 6, 7], [0, 9, 10, 7], [0, 5, 6, 7], [2, 4, 5, 6, 7, 10], [3, 2, 10], [0, 3, 4, 7, 10], [2, 3, 4], [0, 1, 6, 7], [0, 3, 6, 7, 9], [4, 5, 7, 8, 9, 10], [0, 10, 2, 5], [0, 1, 3, 4, 5, 7, 9]]} | {"states": [1979, 1963], "expectation_value": -3.1852605727915613, "params": [1.5729, -0.0014, 1.5721, 0.0007, 1.204, 0.024, 1.0128000000000001, -0.0359, 1.4798, 0.0026000000000000003, 1.4786000000000001, 0.0024000000000000002, 1.4395, -0.0026000000000000003, 1.7144000000000001, -0.8565, 0.0129, 0.401, 0.22440000000000... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.19999999999999998 * (Z(8) @ Z(3)) + 0.27380952380952384 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.10714285714285714 * (Z(0) @ Z(1)) + 0.4571428571428571 * (Z(0) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.123809523809523... | 8 | 11 | 1 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2333333333333334, "smallest_bitstrings": ["00001010100"], "largest_eigenvalue": 13.999999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.6101011344682443) q[0];
rz(1.5336247972129176) q[0];
rx(1.2601931192235738) q[1];
rz(-0.07667334080197519) q[1];
cx q[1], q[0];
ry(0.00853914487145424) q[0];
cx q[1], q[0];
ry(1.4658461979706379) q[0];
rz(-1.5975303310589524) q[0];
rx(0.9992437521061569) 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": []} | [
"IIIIIIIZIZI",
"IIZIIIIZIII",
"IIZIIIIIIZI",
"IIIIIIIZIIZ",
"IIIIIIIIIZZ",
"IIZIIIIIIIZ",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IIZIIIZIIII",
"IIIIIIZIIIZ",
"IIIIZIIZIII",
"IIIIZIIIIZI",
"IIZIZIIIIII",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIIZIIIZIII",
"IIIZIIIIIZI",
"IIZZIIIIIII",
"IIIZIIIII... | [
0.16666666666666666,
0.19999999999999998,
0.27380952380952384,
0.08333333333333333,
0.10714285714285714,
0.4571428571428571,
0.3333333333333333,
0.023809523809523808,
0.12380952380952381,
0.14761904761904762,
0.11666666666666667,
0.023809523809523808,
0.1738095238095238,
0.2142857142857142... | 0.970616 | [
1.6101011344682443,
-0.03717152958197909,
1.2601931192235738,
-0.07667334080197519,
1.4318179462869594,
-0.018651074968635335,
1.3435849161686009,
0.003476112037206134,
-0.057549518772696165,
0.30870536620937317,
1.9475207197322284,
0.06264239772564999,
0.7694733217801553,
0.55959842866701... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 4 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [0, 8], "expectation_value": -8.68875074749183, "params": [[[1.6224, 0.006200000000000001], [-0.0019, 0.003], [0.0018000000000000002, 0.0027], [0.4562, 0.0081]]], "bitstrings": ["1111", "0111"], "total_optimization_steps": 170, "probabilities": [0.44995840269098686, 0.4989025168166132], "optimization_time": ... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
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[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
rx(x6) q[3];
rz(x7) q[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
3818ce8f8ec333f1e3cdd221545ea640 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [41, 105], "expectation_value": -1.9174280631828946, "params": [[0.3821, 1.006, 1.0026000000000002, 0.3759, 0.9905, -0.018000000000000002, -0.0181, 0.998], [0.17900000000000002, 0.42000000000000004, 0.45370000000000005, 0.17900000000000002, 0.812, 0.1799, 0.1739, 0.8053], [0.5281, 1.0023, 1.0059, 0.521600000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 10 | 8 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.125, "smallest_bitstrings": ["01101001", "01001011", "00011110", "10100101", "10000111", "00101101", "10010110", "01011010"], "largest_eigenvalue": 6.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2759233039205356) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2759233039205356) q[2];
cx q[0], q[2];
rz(0.8844402004995073) q[0];
rx(-0.1341396366104166) q[0];
h q[3];
cx q[2], q[3];
rz(0.2759233039205356) q[3];
cx q[2], 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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIZZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"ZIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.125,
-0.125,
-0.125,
-0.125,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970097 | [
0.2759233039205356,
-0.42938787334870315,
0.8844402004995082,
-0.8144200522888211,
0.2801413587704371,
-0.8114055882673806,
-0.6665407615679289,
-1.1405939395508837,
-0.13413963661041667,
-0.22536789211031555,
-1.1314300218673012,
0.5384084427806397,
-0.5755834086541328,
0.4727379585036260... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 49 |
7bc4dde9a09d0b94c5097b219891d81a | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [2, 1], "expectation_value": -9.363444202838483, "params": null, "bitstrings": ["1101", "1110"], "total_optimization_steps": 18, "probabilities": [0.174792396062558, 0.6619641889393559], "optimization_time": 7.831993579864502} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 16 | 4 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-0.5729) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
-4.5,
-4.75,
-4.5,
-4.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
f619afa25c1921f996d128a1dfefef72 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [30, 27], "expectation_value": -3.4998990606636267, "params": null, "bitstrings": ["100001", "100100"], "total_optimization_steps": 25, "probabilities": [1.6414427502403502e-05, 0.9999303742828826], "optimization_time": 17.282196044921875} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-0.5,
0,
-0.5,
0
] | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
5dad688a93671469362a3d3d00961b05 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [26, 11], "expectation_value": -2.9999374806790073, "params": null, "bitstrings": ["00101", "10100"], "total_optimization_steps": 22, "probabilities": [1.6356888979690063e-05, 0.99996874101375], "optimization_time": 9.785954713821411} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"ZIZII",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
0
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
8c44c442a25e00dfae4e1647b2faf79f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [9, 18], "expectation_value": -0.5877678055544819, "params": [[0.07540000000000001, 0.0703, 0.06810000000000001], [-0.0828, -0.0699, -0.0641]], "bitstrings": ["10110", "01101"], "total_optimization_steps": 10, "probabilities": [0.04852628760727654, 0.048526287607276564], "optimization_time": 3.33824658393859... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "11001", "10110", "01101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 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 ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIIZ",
"IZIZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
f4866d34fc4832d3ba3211e9f23410a9 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {"weight": 8, "source... | {"states": [222, 220], "expectation_value": -37.13451749187521, "params": null, "bitstrings": ["100100001", "100100011"], "total_optimization_steps": 100, "probabilities": [0.06502132219866995, 0.2825267486863512], "optimization_time": 168.8362157344818} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 11.0 * Z(1) + 0.5 * Z(0) + 9.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 157.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0077842888156029345) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0077842888156029345) q[2];
cx q[0], q[2];
rz(-1.4012324936476928) q[0];
rx(-1.6022278951510165) q[0];
h q[3];
cx q[2], q[3];
rz(-0.0077842888156029345) q[3];
cx q... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(100.1787) 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] =... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
11,
0.5,
9.5,
14,
25,
18,
13,
1,
0
] | 0.970901 | [
-0.0077842888156029345,
1.5980764235390623,
-1.401232493647693,
1.7151950705552013,
4.454033071216039,
1.4732084922386033,
1.6990564055392747,
0.99659235501385,
-1.616279104785361,
-1.965619307031236,
-1.6022278951510165
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 61 |
7517729717309999037 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 4, 9, 7], [4, 6], [1, 2, 5], [0, 10, 2, 4], [10, 7], [10, 2, 6], [0, 7], [9, 10], [8, 10], [8, 3], [0, 1, 6], [5, 6, 7]]} | {"states": [926, 798], "expectation_value": -3.849863718356934, "params": [-0.0028, -2.3539000000000003, 2.7297000000000002, -0.0024000000000000002, 3.1389, -0.4712, 1.5354, 1.2436, -0.0029000000000000002, -0.16040000000000001, -0.0027, -0.665, 3.1388000000000003, 0.9658, 3.1388000000000003, 0.6347, -0.0018000000000000... | 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(... | 4 | 11 | 1 | {"smallest_eigenvalues": [-4.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.083333333333334, "smallest_bitstrings": ["10011100001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.027843828482497727) q[0];
rz(-0.6146355383466631) q[0];
rx(2.731678927642688) q[1];
rz(1.969666372361739) q[1];
rx(3.1350389768541524) q[2];
rz(0.8904916225480815) q[2];
rx(0.3572602757989769) q[3];
rz(2.769465746225767) q[3];
rx(-0.1883845379549198) 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] 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": []} | [
"IIIIIIZIIZI",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IIIZIIZIIII",
"IIIZIIIIIZI",
"IZIZIIIIIII",
"IIIIZIZIIII",
"IIIIZIIIIZI",
"IIIZZIIIIII",
"IIIIIIZIZII",
"IIIIIIIIZZI",
"IIIIZIIIZII",
"IIIIIZIIIZI",
"IIIZIZIIIII",
"IIIIZZIIIII",
"IIIIIZIIZII",
"IIIIIIZIIIZ",
"IIIIIIIIIZZ",
"IIIZIIIII... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666... | 0.986111 | [
-0.027843828482497723,
-2.1854318651415596,
2.731678927642688,
0.3988700455668425,
3.1350389768541524,
-0.6803047042468156,
0.3572602757989769,
1.1986694194308705,
-0.18838453795491983,
-0.4857474346537367,
-0.05529511167062973,
-1.128354084028984,
3.2089291391563064,
1.1561112522155392,
... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -4.333333333333332,
"target_ratio": 0.97,
"target_value": -4.203333333333332
} | 13 |
9a44f437194a4879d426f5b6a5686299 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -6.331280674622138, "params": [[0.0654], [-0.0733]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006578825556844551, 0.00690838987306633], "optimization_time": 5.855846166610718} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 12 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08091434685478957) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08091434685478957) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08091434685478957) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08091434685478957) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
-7.25,
-7,
-7,
-7,
-7.25,
-6.25,
-6.5,
-6.25
] | 0.97193 | [
0.08091434685478957,
0.19683262780482505,
-0.5276026023285014,
-0.2585790863730953,
0.6015554638553474,
0.11689174019538448,
-0.45237660767138255,
-0.07816655406896592,
-0.26502704531832566,
-0.8206004991266179,
-0.7539224517840958,
0.3364543138354996,
0.531455957300341,
-0.599578090869826... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 94 |
3514949562079137926 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5, 6], [0, 2, 4, 7], [0, 4, 5, 7], [0, 1, 2, 3, 7], [3, 5, 7], [1, 2, 5, 7], [2, 3, 4]]} | {"states": [243, 219], "expectation_value": -1.129359678400909, "params": [1.2764, -0.1887, 1.0253, 0.00030000000000000003, 1.2776, 0.082, 1.1576, 0.0028, 1.2649000000000001, -0.3002, 0.9605, 0.0079, 1.2822, -0.13470000000000001, 1.1936, 0.004200000000000001, 1.2807000000000002, -0.28450000000000003, 0.9358000000000001... | 0.25 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.166666... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.8666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7833333333333334, "smallest_bitstrings": ["00100100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.735109594357608) q[1];
cx q[5], q[1];
h q[6];
cx q[5], q[6];
rz(0.11494133531369792) q[6];
cx q[5], q[6];
cx q[1], q[6];
cx q[5], q[0];
rz(-0.0019447836490862674) q[0];
cx q[5], q[0];
cx q[5], q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZI",
"IZZIIIII",
"IZIIIIZI",
"IIZIIIIZ",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZZI",
"IIIIIZIZ",
"IIZZIIII",
"IIIZIIIZ",
"IIIZIZII",
"ZIZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"IIZIZIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZZIII",
"ZIIIZIII",
"IIZIIII... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.05,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.13333333333333333,
0.21666666666666667,
0.21666666666666667,
0.166666666666666... | 0.814412 | [
0.735109594357608,
0.11494133531369792,
-0.0019447836490862674,
0.00018365813410844764,
-0.00009896962267062961,
-0.005465552002008078,
0.00001953205505941692,
-1.6056807152187085,
1.6044133941627954,
1.569454260885822,
1.5543242583015395,
-1.55621752565599,
1.5707463438498164,
1.568196020... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -1.8666666666666667,
"target_ratio": 0.97,
"target_value": -1.8106666666666666
} | 321 |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -0.48797613833845593, "params": [[-0.0146, 0.035, 0.0694], [0.0412, -0.0064, -0.046700000000000005]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.01929155058561677, 0.019597809225451977], "optimization_time": 3.7114458084106445} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.25137557506976543) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-0.3034559764764657) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.32149893878205565) q[3];
cx q[4], q[3];
rz(0.05900538221320195) q[4];
rx(0.125911296508555... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IZIIIZ",
"ZIIIIZ",
"ZIIIZI",
"IZIZII",
"IIIZZI",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
-0.5,
0.75,
-1.5,
-2,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-1.75,
-0.25,
-1.25,
0.25,
1.25,
1.75
] | 0.972404 | [
0.25137557506976543,
-0.30313069804113246,
0.23033659415730043,
-0.3034559764764657,
0.35568709670647886,
0.32149893878205565,
0.05900538221320224,
-0.175513034202568,
-0.3239146546667025,
-0.8972253164971841,
-0.9873010555019224,
0.12591129650855593,
-0.1131226468916046,
0.022047127083097... | {
"n_parameters": 48,
"n_qubits": 6,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 145 |
-1115722780576075044 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5], [0, 7], [1, 7], [1, 4], [2, 6], [0, 3]]} | {"states": [228, 198], "expectation_value": -2.7072277208012623, "params": null, "bitstrings": ["00011011", "00111001"], "total_optimization_steps": 60, "probabilities": [0.052112685772488974, 0.7484933730773898], "optimization_time": 63.52852010726929} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) | 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": ["00011011", "11000110", "11100100", "00111001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.9359294386067569) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.9359294386067569) q[1];
cx q[4], q[1];
rz(1.2178503983051314e-08) q[4];
rx(-0.7853981563256112) q[4];
rz(1.2178503983051314e-08) q[5];
rx(-0.78... | 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[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIZZIIII",
"ZIIIIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"IZIIIZII",
"IIIIZIIZ",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.586724 | [
0.9359294386067569,
1.2178503922216604e-8,
-0.7853981563256112
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 102 |
3d4d08c6a938cbf50c0213403c1923ba | 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": [869, 805], "expectation_value": -69.5007655123257, "params": [0.0753, 0.0043, 2.5002, 0.0094, 2.508, 0.0061, 1.4582000000000002, 0.009300000000000001, 1.4747000000000001, 0.0022, 2.4963, 0.0001, 0.0028, 0.006900000000000001, -0.0031000000000000003, 0.006, 2.504, 0.0046, 1.0949, 0.006500000000000001, 2.5021,... | 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(8) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(9)) + -2.0 * Z(0) + 15.0 * Z(1) + 7.5 * Z(3) + 9.0 * Z(2) + 5.0 * Z(4) + 8.5 * Z(5... | 18 | 11 | 1 | {"smallest_eigenvalues": [-107.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["10011011010"], "largest_eigenvalue": 132.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.2973661012009513) q[0];
rz(0.29393360409600433) q[0];
rx(3.138486824040141) q[1];
rz(-0.20852185370734644) q[1];
rx(2.9294149729052696) q[2];
rz(-0.17987051067498377) q[2];
rx(0.18977767144529029) q[3];
rz(0.07154316297739535) q[3];
rx(0.2655517522293268) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZIIIIIIZI",
"IIZIIIIZIII",
"IIZZIIIIIII",
"IZIIIIIIZII",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-2,
15,
7.5,
9,
5,
8.5,
-3.5,
13,
-4,
3,
9
] | 0.978914 | [
-0.2973661012009513,
0.35727868012117014,
3.138486824040141,
-0.20852185370734644,
2.9294149729052696,
-0.17987051067498377,
0.18977767144529029,
0.07154316297739535,
0.2655517522293268,
0.4082120043292619,
3.192801743934119,
-0.561774206561646,
0.004367202870371796,
0.001591164439450593,
... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -107,
"target_ratio": 0.97,
"target_value": -103.78999999999999
} | 19 |
edf882d81ff9cc6dd04b2b372b99a445 | 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": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.9856564102082113, "params": [[-0.0178, 0.0888], [0.0826, -0.08370000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00669192789631967, 0.006717180440552221], "optimization_time": 14.460620880126953} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.294178110467672) q[0];
h q[1];
ry(0.1383616754257138) q[1];
h q[2];
ry(1.575815943169374) q[2];
h q[3];
h q[4];
ry(0.787907971584687) q[4];
cx q[2], q[4];
ry(-0.787907971584687) q[4];
cx q[2], q[4];
h q[5];
ry(0.8388306177923908) q[5];
cx q[3], q[5];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.75,
1.25,
-1,
-0.75,
-1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-1.25,
0,
-0.25,
-1,
-1,
0.5,
1.75,
-1.5,
1.5
] | 0.970238 | [
1.575815943169374,
1.432087070104017,
1.6776612355847815,
0.2767233508514276,
1.12397130943726,
0.7756512232512143,
0.9641730776805216,
-2.588356220935344,
-0.040075839562897835,
0.12549881444488223,
-0.21414780392445198,
0.47502116310819115,
0.5052557870900131,
-0.12045094258741418,
-0.... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 221 |
22a94de1002e0d6d41a3223e7d8b4569 | 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": 9, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [391, 230], "expectation_value": -10.80927716474978, "params": [[-0.022600000000000002, -0.0327], [0.028200000000000003, 0.0512]], "bitstrings": ["001111000", "100011001"], "total_optimization_steps": 10, "probabilities": [0.004120756211352984, 0.004534371451693161], "optimization_time": 3.4983749389648438} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.018803918222292024) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.018803918222292024) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.018803918222292024) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.018803918222292024) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"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,
4.5,
16.5,
9,
19,
10,
8.5,
17.5,
14,
10.5,
-5.5
] | 0.978005 | [
-0.018803918222292024,
1.5941969511908811,
-0.8457615311102443,
1.5531584674778314,
1.5797839430751517,
-1.3831799448418733,
1.719160726069657,
1.5292813247974164,
-1.6499747686190398,
-1.2498139219776907,
-1.5701305232110854
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -81.5,
"target_ratio": 0.97,
"target_value": -79.05499999999999
} | 41 |
0d8e08edacb19af1eadafa58f3724383 | 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": 9, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 7}, {"weight": 10, "source": 2, "target": 3}, {"weight": 11, "source": 2, "tar... | {"states": [222, 186], "expectation_value": -31.6778356130941, "params": [[-0.0395, -0.011600000000000001, 0.018000000000000002, 0.0015], [0.0767, 0.0787, 0.0637, 0.0636]], "bitstrings": ["100100001", "101000101"], "total_optimization_steps": 10, "probabilities": [0.013965078683062189, 0.014325531727003897], "optimizat... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) + 0.0 * Z(0) + 14.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.012784246995398676) q[0];
cx q[1], q[0];
rz(1.1468271443663136) q[0];
rx(1.4195474064205706) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.012784246995398676) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.012784246995398676) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
0,
14.5,
9.5,
12,
10,
9.5,
15.5,
6
] | 0.979458 | [
-0.012784246995398676,
-1.605512074059542,
1.1468271443663132,
-1.2513828923556978,
1.2916257675260863,
-1.1711570212176807,
-1.4401838120131663,
1.6156251501443357,
1.4195474064205709,
-0.20992078531679503,
0.46022115213623693,
-0.8476005599875621,
0.026990108687306884,
-1.848404450162275... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 52 |
eb532b3fe9f318ccb3658a6712436b91 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [1, 5], "expectation_value": -11.2481057368243, "params": null, "bitstrings": ["11111110", "11111010"], "total_optimization_steps": 23, "probabilities": [0.4998277942533563, 0.4999999999924525], "optimization_time": 24.541382312774658} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.06974099551047935) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5890406829503434) q[1];
rz(-pi) q[2];
ry(-0.0021096615779952286) q[2];
ry(-0.008898726702413838) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-0.15495898986146583) q[4];
h q[5];
h q[6];
ry(-1.5890406829503434) q[6];
h q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZZII",
"IIIZZIII",
"IZIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
2.75,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
-1.5,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
0.75,
1
] | 0.995387 | [
1.4393368061031235,
-1.4512118663580789,
-1.5890406829503434,
-1.7277524128220563,
-1.5364768252188215,
-1.6101287227830505,
-0.07285832630814085,
-0.09968692985267691,
-0.03243337430224796,
0.003994192331387751,
0.0964622453811357
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 1 |
14573335ed5b867ba544598418a40acb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 4}, {"capac... | {"states": [0, 1], "expectation_value": -9.809742140062918, "params": [0.0033, 0.0025, 0.0024000000000000002, 0.004200000000000001, 0.0024000000000000002, 0.0044, 0.0026000000000000003, 0.0097, 0.0027, 0.0061, 0.0025, 0.009600000000000001, 0.0023, 0.0024000000000000002, 0.0027, 0.0001, -0.0029000000000000002, 0.9896, 1... | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["1111111110", "1111111010"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.05614901501533189) q[0];
rz(0.22781802132055562) q[0];
rx(-0.15246647843271652) q[1];
rz(0.24473132502081693) q[1];
cx q[1], q[0];
rz(0.06574215365500218) q[0];
cx q[1], q[0];
rz(-1.3545578151838265) q[0];
ry(0.2284619840361315) q[0];
rz(1.664635289165025) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IZIZIIIIII",
"IZIIIIIIIZ",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIIZIIZII",
"IZIIIIZIII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIZIIIZIII",
"ZIIZIIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IIIZIIIIII"... | [
-0.5,
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.75,
-0.25,
-1,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
1.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
0.25,
0.75,
0.25,
-0.75,
0.75,
0.75
] | 0.973743 | [
0.05614901501533188,
0.29356017497555803,
-0.15246647843271652,
0.24473132502081693,
-0.12032653324830447,
0.14517093278414492,
0.10441185868136973,
0.02732130998088253,
-0.08271859328034062,
-0.08662759724633251,
-0.0017071817382347532,
0.049658732265759314,
0.004303725884878873,
0.018566... | {
"n_parameters": 157,
"n_qubits": 10,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 10 |
a617cd4648156ddc77f993201a7a952c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -11.514221138760405, "params": [[[0.802, 0.004], [0.9073, 0.0058000000000000005], [0.9074000000000001, 0.006900000000000001], [0.9032, 0.005], [0.9093, 0.0064], [1.5987, 0.0061], [1.5908, 0.003], [1.5892000000000002, 0.0029000000000000002]]], "bitstrings": ["11111001", "11111000"... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016051595018557085) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016051595018557085) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016051595018557085) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016051595018557085) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.25,
-6.75
] | 0.976479 | [
0.016051595018557085,
-0.044725556110224884,
-1.5942489739862034,
-1.511915062604028,
1.942486051428569,
1.7812596979441973,
-1.4758902744393279,
0.463896267873675,
0.4666780978923133,
-1.0713581426797705,
-2.0979600597052888,
1.374106261390757,
-0.36896266833425195,
0.11673470776900458,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 78 |
-5036348461379120819 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4], [0, 1, 2, 7], [0, 1, 2, 3, 8], [0, 2, 4, 6], [1, 2, 3, 7, 8], [5, 6, 7], [1, 4, 6], [0, 1, 5], [0, 2, 5, 6], [0, 2, 3, 4], [8, 3, 4, 6], [1, 2, 4, 5], [1, 2, 3, 5], [8, 5, 6], [0, 1, 4, 7], [1, 5, 6], [1, 3, 4]]} | {"states": [487, 485], "expectation_value": -3.9807019000044397, "params": null, "bitstrings": ["000011000", "000011010"], "total_optimization_steps": 62, "probabilities": [0.21743969347122472, 0.72544317394317], "optimization_time": 178.37591075897217} | 0.26666666666666666 * (Z(8) @ Z(1)) + 0.6666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(8)) + 0.3833333333333333 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(8)) + 0.25 * (Z(0) @ Z(4)) + 0.35 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(8)) + 0.25 * (Z(2) @ Z(4)) + 0.3833333333333333 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(1)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.033333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["000011010"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-0.008717962152723621) q[8];
cx q[1], q[8];
cx q[1], q[4];
rz(-1.406743970120196) q[4];
cx q[1], q[4];
cx q[1], q[0];
rz(-0.012141039222267173) q[0];
cx q[1], q[0];
cx q[1], q[2];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) 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] = m... | [
"ZIIIIIIZI",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIZIIIZ",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIZIZII",
"IIIIIIZIZ",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"IZIIIZIII",
"... | [
0.26666666666666666,
0.6666666666666666,
0.25,
0.3833333333333333,
0.05,
0.25,
0.35,
0.1,
0.25,
0.3833333333333333,
0.21666666666666667,
0.05,
0.08333333333333333,
0.16666666666666666,
0.13333333333333333,
0.35,
0.18333333333333335,
0.3333333333333333,
0.13333333333333333,
0.26... | 0.816402 | [
-0.008717962152723621,
-1.406743970120196,
-0.008719688757542006,
-0.012141039222267173,
-0.0007450045623586159,
-0.018505649785897478,
-0.0021783256421461336,
-0.015034120291113338,
0.00691245611749575,
0.003766091917136392,
-0.0033721757150812185,
-0.0014718396824645354,
-0.000731447614128... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -4.033333333333333,
"target_ratio": 0.97,
"target_value": -3.912333333333333
} | 455 |
6ed1ddb0c37b8c42f6032d980e7fb546 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 3, "source": 2, "target": 1... | {"states": [126, 63], "expectation_value": -7.691635256013918, "params": [[[-0.0132, 0.47440000000000004], [-0.0013000000000000002, -0.006200000000000001], [0.0015, 0.0019], [0.0015, 0.0021000000000000003], [0.0018000000000000002, -0.0024000000000000002], [-0.33680000000000004, -0.6741], [-0.041600000000000005, -0.3442... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + -1.75 * Z(1... | 15 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.024454446097182985) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3069541494970769) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.024454446097182985) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-6.822630483254212e-06) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIZII",
"IZIIZII",
"IZIIIZI",
"IZIZIII",
"ZZIIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-0.75,
-0.25,
-1.25,
0.5,
-0.25,
-0.5,
-0.5,
-1,
-1,
-1,
-1,
0.25,
-0.25,
-1.75,
0,
-0.75,
-1,
3.5
] | 0.828374 | [
-0.024454446097182985,
0.3069541494970769,
-0.000006822630483254212,
-3.1278555237590693,
0.00014199144815494222,
-0.01953305798076947,
-1.570534837818748,
-1.5705391428806783,
-1.5708192020044294,
-1.5708952581243638,
1.5687173531789174
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 333 |
966548734339757858 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [0, 2, 3, 4, 5, 8], [0, 1, 4, 5, 7], [0, 1, 3, 4, 8], [8, 2, 6, 7], [8, 3, 6]]} | {"states": [59, 374], "expectation_value": -0.4700866282819942, "params": [[-0.2896], [0.2827]], "bitstrings": ["111000100", "010001001"], "total_optimization_steps": 30, "probabilities": [0.0037353701624493856, 0.003773074631121579], "optimization_time": 3.8067188262939453} | 0.5 * (Z(5) @ Z(6)) + 0.08333333333333334 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(5)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.6833333333333336, -1.6833333333333336], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6833333333333331, "smallest_bitstrings": ["010001001", "000101010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(-0.3275785024824034) q[5];
cx q[6], q[5];
cx q[5], q[0];
rz(-0.002987596653079252) q[0];
cx q[5], q[0];
cx q[6], q[2];
rz(-0.002987596653079252) q[2];
cx q[6], q[2];
cx q[5], q[2];
rz(0.0288324762... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZZIIIII",
"IIIZIIIIZ",
"IIZIIIZII",
"IIIZIIZII",
"IIIIIIZIZ",
"IIZIIZIII",
"IIIZIZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"ZIZIIIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIZIIIZI",
"IIIIIIIZZ",
"... | [
0.5,
0.08333333333333334,
0.08333333333333333,
0.03333333333333333,
0.03333333333333333,
0.16666666666666666,
0.03333333333333333,
0.08333333333333334,
0.03333333333333333,
0.08333333333333334,
0.13333333333333336,
0.03333333333333333,
0.08333333333333334,
0.25,
0.03333333333333333,
0.... | 0.974261 | [
-0.3275785024824034,
-0.002987596653079252,
0.028832476245172205,
-0.033964495822557325,
0.0742582249657289,
0.023532383142824458,
-0.34879224468363523,
-0.05684592715838543,
0.02851360750250078,
-1.5810511286124294,
1.6590506621665095,
-1.507524931253941,
-1.5048163451855399,
-1.479753669... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -1.6833333333333336,
"target_ratio": 0.97,
"target_value": -1.6328333333333336
} | 206 |
4ff0e98dab299179b4aebf1cc52f1567 | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [42, 43], "expectation_value": -6.06669421003083, "params": [0.1396, 0.0058000000000000005, 0.17850000000000002, -0.0103, 0.0175, 0.0487, 0.1411, 0.0051, 0.5015000000000001, 0.0033, 0.5012, 0.0012000000000000001, 0.14200000000000002, 0.020800000000000003, 0.2243, -0.0039000000000000003, 0.5054000000000001, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(1) ... | 6 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["11010100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08332792437895457) q[0];
rz(0.9085361047122049) q[0];
rx(-0.09686619648631771) q[1];
rz(1.6926843585347626) q[1];
rx(0.7735379223254732) q[2];
rz(1.631462272927684) q[2];
rx(0.15793975307655816) q[3];
rz(1.2127687669342109) q[3];
rx(0.8456127295278774) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IZZIIIII",
"ZIZIIIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1,
-1.5,
-1,
-1.5,
-0.5,
-1
] | 0.976163 | [
-0.08332792437895457,
-0.6622602220826921,
-0.0968661964863177,
0.12188803173986593,
0.7735379223254731,
0.06066594613278775,
0.15793975307655816,
-0.3580275598606861,
0.8456127295278775,
-0.2757109636828781,
0.13328223804013728,
-0.09864090208312633,
0.9103274345379433,
0.0042829193822685... | {
"n_parameters": 76,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 50 |
16efd0d1722058bdcecd0a47f621047a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "target": 2}, {"weight": 1... | {"states": [238, 122], "expectation_value": -19.699959008403162, "params": [[-0.0477, -0.0092], [0.0809, 0.0644]], "bitstrings": ["00010001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.012295886854938121, 0.01408100901679683], "optimization_time": 3.1864051818847656} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
15.5,
10.5,
15,
14,
15,
4,
14,
10
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
7f07cf49cd8a44733eb0e6dc2d3eeafb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [341, 309], "expectation_value": -4.25535437439193, "params": [0.901, 0.0029000000000000002, 0.8113, -0.006500000000000001, 0.9026000000000001, -0.0004, 0.8633000000000001, -0.0654, 0.9005000000000001, 0.0013000000000000002, 0.2439, -0.006200000000000001, 0.9101, -0.0019, 0.0463, 0.4106, 0.9042, 0.0006000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(5) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(3) + -2.0 * Z(... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["010101010", "011001010", "001101010"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.678199754872749) q[0];
rz(1.589823309344574) q[0];
rx(0.46154922105995905) q[1];
rz(1.3062565524421421) q[1];
rx(0.8308421415916883) q[2];
rz(1.7739646725648583) q[2];
rx(1.1163360924193328) q[3];
rz(1.3105496843677518) q[3];
rx(1.598812722993483) q[4];
rz(1.673281... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IZIZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIZZIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IZIIIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-0.5,
-1,
-1,
-2,
0,
-0.5,
0
] | 0.973986 | [
1.678199754872749,
0.019026982549677905,
0.4615492210599591,
-0.2645397743527547,
0.8308421415916882,
0.20316834576996126,
1.1163360924193328,
-0.26024664242714535,
1.5988127229934828,
0.10248489699584803,
0.27691266352204397,
-0.1294969922038623,
1.448913629921115,
-0.07590047877755429,
... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 21 |
24e9c86cfdb3e8240ca21f54feb2ae3f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 12, "source": 1, "tar... | {"states": [500, 244], "expectation_value": -75.48196861131494, "params": [0.7523000000000001, -0.4224, 1.5826, 0.0022, 1.5797, 0.0031000000000000003, 1.587, 0.0034000000000000002, 1.5867, 0.2675, 0.1971, 0.6728000000000001, 1.5834000000000001, -0.26380000000000003, 0.2934, -0.6472, 0.19310000000000002, 0.6875, 0.75950... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1178989666848208) q[0];
rz(-1.3114878748394567) q[0];
rx(3.429660772059215) q[1];
rz(1.9519683519629236) q[1];
rx(3.2428870245089425) q[2];
rz(0.30989050063345075) q[2];
rx(0.07615240872314868) q[3];
rz(-1.4919322889468147) q[3];
rx(-0.2292526277419854) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
12,
17,
17.5,
15,
2,
14.5,
2.5,
2
] | 0.981831 | [
0.1178989666848208,
-1.3114878748394567,
3.429660772059215,
1.9519683519629236,
3.2428870245089425,
0.30989050063345075,
0.07615240872314868,
-1.4919322889468147,
-0.2292526277419854,
0.323037351350365,
0.025479403557775504,
0.6535127034426061,
3.2061650365182963,
1.4357872245650392,
3.3... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 27 |
ed50d737bfc970f4ee48d3d53e464a9a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [4095, 4032], "expectation_value": -3.1877781863431465, "params": [[0.042100000000000005], [-0.057]], "bitstrings": ["000000000000", "000000111111"], "total_optimization_steps": 10, "probabilities": [0.00048421767513215494, 0.0004963704709769171], "optimization_time": 13.89526915550232} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(4)) + -3.0 * (Z(6) @ Z(7)) + -3.5... | 1 | 12 | 1 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["000000111111"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6925384450281312) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.6925384450281312) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.793132481637648) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.5670332780944278) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"IIZIIZIIIIII",
"ZIIIZIIIIIII",
"ZIIIIZIII... | [
-2.5,
-2.5,
-2,
-3,
1,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-3,
-3.5,
-3.5,
-3,
-3,
-3.5,
-3.5,
1.5,
-3.5,
-3.5,
1,
0.5,
-3.5,
1,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
2,
-3,
-2.5,
-2.5,
1.5
] | 0.524806 | [
-0.6925384450281312,
-0.793132481637648,
-0.5670332780944278,
-0.3268183952533036,
-0.24367530846612473,
-0.47195079361271075,
-0.31345989549537595,
-0.31548912383670724,
-1.0966030194205028
] | {
"n_parameters": 9,
"n_qubits": 12,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 225 |
ba516fd0ce7824e6228356c5f232cfab | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [66, 3], "expectation_value": -8.247366481326754, "params": [[0.0106, -0.0627], [-0.0341, 0.0626]], "bitstrings": ["0111101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.01139371003169963, 0.011788716062787277], "optimization_time": 4.3935675621032715} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.16804737694979255) q[0];
rz(0.2082288294493435) q[0];
rx(0.15075704403065596) q[1];
rz(0.3081286351501191) q[1];
rx(-0.015577567956415184) q[2];
rz(0.2761028885907031) q[2];
rx(0.051898684280336976) q[3];
rz(0.6464979825533907) q[3];
rx(-0.06236402491160774) 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] 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 ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
3,
-10,
-10,
-10.5,
-10.5,
-10,
-9.5,
-9.5
] | 0.970246 | [
0.16804737694979255,
0.12269839746206923,
0.15075704403065598,
0.3741847015101376,
-0.015577567956415184,
0.3742638042105089,
0.051898684280336976,
0.5257644350645199,
-0.06236402491160774,
0.18361076482660355,
0.4922950906627197,
0.16963751239899966,
0.68348045398206,
0.11277220593759216,... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 6 |
3855709974827586501 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4], [0, 2, 3, 5], [1, 2, 5], [0, 1, 5], [1, 2, 3], [0, 1, 2]]} | {"states": [41, 45], "expectation_value": -1.5199114593488399, "params": null, "bitstrings": ["010110", "010010"], "total_optimization_steps": 30, "probabilities": [0.10176162955050509, 0.7283907587473138], "optimization_time": 32.45233345031738} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5833333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000004, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(3.3029619351984776) q[0];
rz(0.07929321907401084) q[0];
rx(0.06129005699003766) q[1];
rz(-0.22879360623107164) q[1];
rx(3.1615979241893806) q[2];
rz(-0.29775228884901644) q[2];
rx(2.691637147622413) q[3];
rz(0.5139827662011793) q[3];
rx(0.6276317180760962) q[4];
rz(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) 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... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIIIZZ",
"IIZIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
0.08333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.7500000000000001,
0.5833333333333335,
0.41666666666666674,
... | 0.973816 | [
3.3029619351984776,
0.07929321907401084,
0.06129005699003766,
-0.22879360623107164,
3.1615979241893806,
-0.29775228884901644,
2.691637147622413,
0.5139827662011793,
0.6276317180760962,
-0.5147931526277356,
2.900074752359019,
-0.2004567099873708
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -1.5833333333333344,
"target_ratio": 0.97,
"target_value": -1.5358333333333343
} | 15 |
1401409890469875310 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 3, 7], [0, 7], [8, 2], [9, 4], [9, 5], [6, 7]]} | {"states": [327, 263], "expectation_value": -1.4164124958033055, "params": [0.5867, 0.5677, 1.1901000000000002, 1.1933, 0.595, 0.36000000000000004, 0.7110000000000001, 0.9132, 0.2406, 0.2243, 0.2374, 0.2217, 0.37610000000000005, 0.3806, 1.2029, 1.203, 1.0695000000000001, 0.9023, 1.195, 1.1976, 0.7522000000000001, 1.090... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666674 * Z(7) + 0.0 * Z(0... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.833333333333333, -2.833333333333333, -2.833333333333333, -2.833333333333333, -2.833333333333333, -2.833333333333333, -2.833333333333333, -2.833333333333333, -2.833333333333333, -2.833333333333333, -2.833333333333333, -2.833333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.45120076563752143) q[0];
rz(pi/2) q[0];
ry(1.401867683722944) q[1];
ry(0.14641330027318045) q[2];
ry(-0.1447685380959785) q[3];
ry(-0.14804418084488394) q[4];
ry(0.020415745431527077) q[5];
ry(-0.005293696153711669) q[6];
ry(1.7288966204605971) q[7];
ry(1.47259165... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZIZI",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IZIIIIIZII",
"ZIIIIZIIII",
"ZIIIZIIIII",
"IIZZIIIIII",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IZIIIIIIII",
"IIIIIZIIII",
"ZIIIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666674,
0,
0,
0,
0,
0,
0,
0
] | 0.972574 | [
0.45120076563752143,
1.401867683722944,
0.14641330027318045,
-0.1447685380959785,
-0.14804418084488394,
0.020415745431527077,
-0.005293696153711669,
1.7288966204605971,
1.4725916555122327,
1.435303369947393,
-0.24301784925951553,
1.1058886167203592,
0.1815456923244406,
-0.24627808654034528... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 30 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [50, 56], "expectation_value": -4.999937482230923, "params": null, "bitstrings": ["001101", "000111"], "total_optimization_steps": 26, "probabilities": [1.6356491498964233e-05, 0.9999687417494828], "optimization_time": 35.2318594455719} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-0.5,
-1.5,
-1
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
2b65c1ade8a1c981450a71c2028e8f1d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [916, 404], "expectation_value": -7.543299189206966, "params": [[[1.5607, 0.0091], [1.5999, 0.0077], [1.6114000000000002, 0.0058000000000000005], [-0.019700000000000002, 0.006900000000000001], [-0.0035, 0.003], [1.6058000000000001, 0.0039000000000000003], [0.1875, 0.0085], [1.5841, 0.0014], [0.00240000000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(3) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -8.5, "smallest_bitstrings": ["0001101111", "1001101101", "1001101011", "1011110010", "1011100011"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.13175061116761283) q[0];
rz(0.3321040308085478) q[0];
rx(3.0447581408304365) q[1];
rz(-0.32112128893168906) q[1];
rx(2.6172713157186234) q[2];
rz(-0.2556812063867032) q[2];
rx(-0.2504025304192332) q[3];
rz(0.11390992993063526) q[3];
rx(0.22198868527023813) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IZIIIZIIII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIZIIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IIIZIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIIIIZZII",
"IIIIZZIIII",
"ZIIIZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
-1.5,
-0.5,
-2.5,
-2.5,
0,
-1.5,
-2,
-1
] | 0.974132 | [
-0.13175061116761283,
0.3321040308085478,
3.0447581408304365,
-0.32112128893168906,
2.6172713157186234,
-0.2556812063867032,
-0.2504025304192332,
0.11390992993063526,
0.22198868527023813,
0.288978613334539,
2.9016461397258113,
0.7867736885269144,
0.16376682461156508,
0.7631136820567843,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 22 |
b275ce8964445fc4fd6a75f227b0d74a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"sour... | {"states": [28, 412], "expectation_value": -4.17512974439225, "params": [1.4131, -0.004, 1.4140000000000001, -0.0032, 0.6428, -0.0037, 0.3719, 0.6872, 1.4020000000000001, 0.0041, 1.4066, 0.0041, 1.4155, -0.0033, 0.6467, 0.0054, -0.0001, 0.0036000000000000003, 1.3983, -1.3784, -0.6926, -0.04, 1.3891, 1.3928, -1.3849, -0... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + -1.0 * Z(7) + -0.5 * Z(0) + -2.0 * Z(8) + -1.0 * Z(2) + ... | 4 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["001100011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.9188694031073523) q[0];
rz(1.5992541001065455) q[0];
rx(2.979614235912001) q[1];
rz(1.2064948646427318) q[1];
rx(-0.03584007471469151) q[2];
rz(1.6440719922953715) q[2];
rx(0.5084330064964826) q[3];
rz(2.0529712073672037) q[3];
rx(1.933211116968891) q[4];
rz(1.8070... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIZ",
"ZZIIIIIII",
"ZIIIIIIIZ",
"IIIIIIZZI",
"ZIIIIZIII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"ZIIZIIIII",
"IIIZIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-1.5,
0,
-0.5,
-0.5
] | 0.972278 | [
1.9188694031073523,
0.02845777331164956,
2.979614235912001,
-0.3643014621521651,
-0.0358400747146915,
0.07327566550047504,
0.5084330064964825,
0.48217488057230745,
1.933211116968891,
0.23625134611816562,
2.102997462996922,
3.403023557966152,
0.8650891992826832,
0.09266351275503559,
0.768... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 26 |
6019be0fa8c3633cf3c67a35b335404e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [2044, 2036], "expectation_value": -2.6399659873269554, "params": [0.1831, 0.1895, 1.3896000000000002, 1.3943, 1.1369, 1.0571000000000002, 1.3642, 1.0114, 1.3941000000000001, 1.3928, 1.4020000000000001, 1.403, 1.3980000000000001, 1.4004, 1.3865, 1.3823, 1.1095000000000002, 0.6463, 1.4004, 1.3948, 0.1786, 0.1... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 14 | 12 | 1 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.9507636748271096) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.07521630843221144) q[1];
h q[2];
ry(-1.6800855286387062) q[2];
h q[3];
ry(1.3941845997090168) q[3];
ry(-0.0810001177131385) q[4];
rz(-pi) q[4];
ry(-0.0810001177131385) q[5];
rz(-pi) q[5];
cx q[3], q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIIZ",
"IIIIIIZIZIIZ",
"IIIIIIZZIIIZ",
"IIIIIIZZZIII",
"IIIIIIZZZIIZ",
"IIIIIIIIZIZI",
"IIIIIZIIIIZI",
"IIIIZIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.... | 0.996927 | [
-1.6800855286387062,
-1.650927730462537,
-1.4718006148823952,
1.3335894590127062,
1.3941845997090168,
-0.035991188398725574,
0.2790777833279445,
0.09275577803901364,
0.12873257583510778,
0.009830190470857945,
-0.07902666395579679,
-0.10094070682275826,
0.047627241742005444
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
30889689ce1c686cb3fcc572d2854875 | 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": 7}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [86, 94], "expectation_value": -3.083685715528446, "params": [-0.015700000000000002, 0.41750000000000004, -0.0106, 0.0073, 0.8033, 0.2482, 0.8083, 0.0024000000000000002, -0.0117, 0.4213, -0.0109, 0.0058000000000000005, 0.8101, 0.2086, 0.8118000000000001, 0.0099, 0.8008000000000001, 0.21630000000000002, 0.807... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["10100001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.18471583326213806) q[0];
rz(1.459287694731504) q[0];
rx(0.5287696191491773) q[1];
rz(2.0194552980741527) q[1];
rx(-0.04270694493532613) q[2];
rz(1.5842327186710605) q[2];
rx(0.7692856177590904) q[3];
rz(1.8653204167668473) q[3];
rx(1.0342645861195194) q[4];
rz(1.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIIIIIZI",
"IIIIZZII",
"IZIIIZII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
0,
-1,
0,
0,
0
] | 0.977532 | [
-0.18471583326213803,
-0.11150863206339147,
0.5287696191491773,
0.44865897127925575,
-0.04270694493532614,
0.013436391876164862,
0.7692856177590903,
0.2945240899719505,
1.0342645861195194,
-0.1644513480671006,
1.2742870915887434,
-0.1629493877233817,
0.43496793111549076,
0.5675095092979402... | {
"n_parameters": 73,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 136 |
af2f2f04f1c83cd876e9be016f2f3569 | 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": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": ... | {"states": [4095, 2047], "expectation_value": -21.501913973791044, "params": [[[-0.0035, -0.021500000000000002], [-0.0021000000000000003, -0.0023], [0.0027, -0.0029000000000000002], [0.0056, 0.0024000000000000002], [0.0097, 0.0022], [0.0013000000000000002, 0.0021000000000000003], [0.0073, 0.0019], [0.007200000000000001... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(8)) + -0.75 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(1)) + -0.75 * (Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.2446512339983123) q[0];
ry(-0.06515357384151668) q[1];
ry(-0.006466048810758025) q[2];
ry(0.015380888324165908) q[3];
ry(-0.010143035507539037) q[4];
ry(-0.022022745606154723) q[5];
ry(-0.0702776418843252) q[6];
ry(-0.024449234120691526) q[7];
ry(0.09344283915735... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIZIZIIIII",
"IIIIZIIIIIZI",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IZIIIIIIIIZI",
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"IZIIIIIIIZII",
"ZIIIIIIZIIII",
"ZIIIIIZII... | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-2,
-0.75,
-0.75,
-1,
-0.5,
-1.25,
-1.25,
-1,
-1.75,
2.5,
-0.25,
-0.25,
-1,
-1,
-1,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-2,
-0.5,
0.75,
0.75,
2.75,
... | 0.970936 | [
-0.2446512339983123,
-0.06515357384151668,
-0.006466048810758025,
0.015380888324165908,
-0.010143035507539037,
-0.022022745606154723,
-0.0702776418843252,
-0.024449234120691526,
0.09344283915735471,
-0.07380955644517995,
0.14825730961795808,
-0.006379001009925111,
0.022191550544704654,
0.0... | {
"n_parameters": 69,
"n_qubits": 12,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 48 |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [16, 15], "expectation_value": -0.07954859131882745, "params": [[-0.024], [0.0224]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.03205097701132872, 0.032123931747442665], "optimization_time": 1.4956626892089844} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08724389564847751) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.011836385549881461) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.047686382723164) q[1];
rx(1.1987979393789188) q[1];
rz(-0.44952800909731894) q[3];
cx q[0], 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;
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];
cx q[1], q[0];
rz(x0... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-1.5,
-1.25,
1.75,
-1.75,
-2.75,
1.25,
-0.25,
-0.75,
0,
-0.25
] | 0.891714 | [
-0.08724389564847751,
0.011836385549881461,
-0.44952800909731894,
-0.29147368059620293,
0.7280283660373118,
0.7662136357667987,
-1.047686382723164,
-0.36229933156876115,
-0.0461740530584128,
1.1987979393789185,
0.02516654379014708,
-0.005014422258785183,
-0.30548343106272147,
-1.1670616733... | {
"n_parameters": 19,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
951cbddae609304a780bb0bbe3d3c74a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [9, 82], "expectation_value": -0.5221778538473835, "params": [[0.0655, 0.06810000000000001], [-0.07150000000000001, -0.0557]], "bitstrings": ["1110110", "0101101"], "total_optimization_steps": 10, "probabilities": [0.009640796229987904, 0.010895137753061333], "optimization_time": 3.020447254180908} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.012558003040867877) q[0];
rz(0.7622563568799818) q[0];
ry(-0.10803919129409958) q[1];
rz(-0.32679151247705823) q[1];
cx q[1], q[0];
ry(0.09393716342277954) q[0];
rz(0.3123749171255784) q[0];
ry(0.6915755387416351) q[1];
rz(0.3260816840128638) q[1];
ry(-0.185221726... | 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": []} | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"ZZIIIII",
"IZIZIII",
"IIIZZII",
"IZZIIII",
"IIZZIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1.5,
-1,
-0.5,
-1
] | 0.972589 | [
0.012558003040867877,
0.7622563568799818,
-0.10803919129409958,
-0.32679151247705823,
-0.18522172667458084,
-0.34593201446337846,
0.03934487114438403,
-0.4428242383139507,
0.17998212812584102,
0.31961827469353526,
-0.06746124436891895,
0.82681021319161,
0.7784283399633063,
-0.7800809250948... | {
"n_parameters": 107,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 124 |
3548e6a53fe7f33eccefb9f4fe0aae2f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [8190, 8191], "expectation_value": -34.49996424936314, "params": [0.0016, 0.8963000000000001, 0.0053, 0.5866, 0.7905000000000001, 0.009000000000000001, 0.7841, 0.0041, 0.7799, -0.0006000000000000001, 0.7827000000000001, 0.0073, 0.779, -0.0025, 0.7865000000000001, -0.0022, 0.7998000000000001, 0.0152, 0.775500... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 2.0 * (Z(9) @ Z(10)) + 4.0 * (Z(11) @ Z(10)) + 2.0 * ... | 16 | 15 | 4 | {"smallest_eigenvalues": [-35.333333333332874], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.333333333332845, "smallest_bitstrings": ["110000000000000"], "largest_eigenvalue": 79.66666666666639} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.20128190913001) q[0];
ry(0.06916472163768679) q[1];
ry(0.015663676468062392) q[2];
ry(0.19038815846766552) q[3];
ry(-0.15396474331331922) q[4];
ry(0.17130891105735244) q[5];
ry(-2.0689069311650736) q[6];
ry(3.088672280705279) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIIZIZII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZIIZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIZIZIIIII",
"IIIIIIIZZIIIIII",
"IIIIIIZIIZIIIII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIZZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIZIZIIIIIIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
-0.5,
-1,
1,
-0.5,
0.5,
1,
2,
4,
2,
1,
0.5,
1,
-1,
-0.5,
-1,
-0.5,
-1,
-0.5,
-1,
-0.5,
0.5,
-0.3333333333333333,
9,
4.5,
4.5,
1,
1.5,
3,
1.5,
9,
4.5,
9,
2.5,
-2,
-2,
-1,
-0.5
] | 0.970012 | [
1.20128190913001,
0.06916472163768679,
0.015663676468062392,
0.19038815846766552,
-0.15396474331331922,
0.17130891105735244,
-2.0689069311650736,
3.088672280705279,
0.961256083889363,
-2.2180829622012572,
0.06259172568247467,
-0.019184601799460674,
0.022320144500481698,
0.13323763239951938... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 87 |
5277137244527799210 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [0, 1], [1, 2], [3, 4], [2, 5]]} | {"states": [21, 42], "expectation_value": -0.05803527454635114, "params": [[0.0756], [-0.07830000000000001]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.01749830490468017, 0.01749830490468017], "optimization_time": 0.9336574077606201} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(3.2676391228458845) q[0];
rz(0.8961701865303539) q[0];
rx(0.09020427289062569) q[1];
rz(0.1674064949636339) q[1];
rx(2.885929537853104) q[2];
rz(1.0345591740435593) q[2];
rx(0.06399852685138682) q[3];
rz(0.9308070308710013) q[3];
rx(3.272948737799056) q[4];
rz(0.8961... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[3], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IIIZZI",
"IZZIII",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.975391 | [
3.2676391228458845,
0.8961701865303539,
0.09020427289062569,
0.1674064949636339,
2.885929537853104,
1.0345591740435593,
0.06399852685138682,
0.9308070308710013,
3.272948737799056,
0.21134707613687712,
-0.20122035829083684
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 23 |
67d852809baf0651ea3dedb7fac8d194 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [144, 248], "expectation_value": -11.810447475966063, "params": null, "bitstrings": ["01101111", "00000111"], "total_optimization_steps": 64, "probabilities": [0.04651773879245933, 0.7865533988103606], "optimization_time": 92.1289496421814} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.786753352297071) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.17364622921274397) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.786753352297071) q[2];
cx q[1], q[2];
rz(-1.0524566129269461) q[3];
cx q[0], q[3];... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.522819 | [
-0.786753352297071,
-0.17364622921274397,
-1.0524566129269461,
-0.9420242237336858
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 126 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.950769278611542, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10567978594697186, 0.607881399029803], "optimization_time": 57.65658187866211} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
87ba346715d7ffd469182fcb7e9830c2 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [19, 17], "expectation_value": -16.023942414274988, "params": null, "bitstrings": ["1101100", "1101110"], "total_optimization_steps": 38, "probabilities": [0.42315890257289124, 0.5338802164598142], "optimization_time": 33.807769775390625} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 4 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101110", "1101100"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2424713024680878) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.09609449461972433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07103718221836942) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.2424713024680878) q[4];
cx ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2796) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-1.25,
-0.5,
-1,
-0.5,
2.25,
-1.75,
-2.5,
-1.75,
-1.5,
-2.75,
-0.25,
4,
1.75,
0.5,
-1.75,
-1.5
] | 0.970277 | [
-0.2424713024680878,
-0.09609449461972433,
-0.07103718221836942,
0.24484176276753844,
-0.5846079027452293,
-0.03545717743987341,
-0.13831910799219202,
-0.24427600165074528,
-0.4294993140104167,
0.03986173338969032,
-0.32853968363508496,
0.40842551468782123,
-0.9636115791438007,
0.066113856... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 83 |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -6.697771003850325, "params": null, "bitstrings": ["111000", "110010"], "total_optimization_steps": 55, "probabilities": [0.10896502576958948, 0.5967175913259242], "optimization_time": 84.03734278678894} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-0.25
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [334, 366], "expectation_value": -0.9090622770409548, "params": [0.9022, 0.1978, 0.3687, 0.32070000000000004, 0.8974000000000001, -0.10650000000000001, 0.6007, -0.14750000000000002, 0.32980000000000004, 0.3116, 0.9014000000000001, 0.13340000000000002, 0.6960000000000001, 0.059000000000000004, 0.6947, 0.1912,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 18 | 9 | 3 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIIZ",
"IIZIZIIIZ",
"IIZZIIIIZ",
"IIZZZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
a0d529ca36dd3a1366498490d13dd5e2 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [29, 43], "expectation_value": -0.024215617773825873, "params": [[0.043500000000000004], [-0.040100000000000004]], "bitstrings": ["1100010", "1010100"], "total_optimization_steps": 10, "probabilities": [0.008167774705161192, 0.008167774705161192], "optimization_time": 2.1850411891937256} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(5)) + -0.25 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010100", "1100010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.08588185594382781) q[0];
cx q[4], q[0];
rz(-0.7796390051316933) q[0];
rx(-0.16223409120890334) q[0];
cx q[4], q[1];
rz(0.08588185594382781) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.08588185594382781) q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIZZZI",
"IIZIIZI",
"IZIIZII",
"IIIZIIZ",
"ZIIIIIZ",
"ZIIZIII",
"ZIIZIIZ",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"ZZZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.25,
-0.25,
0,
-0.25,
-0.25,
0
] | 0.976001 | [
0.08588185594382781,
-0.8756859798659048,
-0.7796390051316935,
-0.4654146534934242,
-0.16223409120890334,
-0.17378727443252442,
2.489205451114607,
-1.1559017135907852,
1.5966900435185638
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 34 |
5f79bb35bd8dc69bae5409f6ad22880d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 19, "source": 0, "target": 2}, {"weight": 11, "source": 1, "tar... | {"states": [474, 234], "expectation_value": -14.313959210163357, "params": [[0.0497, -0.0201], [-0.077, -0.024300000000000002]], "bitstrings": ["000100101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005034335595314756, 0.005742599917480202], "optimization_time": 3.7112629413604736} | 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(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.17775491171863128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.17775491171863128) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.17775491171863128) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.17775491171863128) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"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,
18.5,
7.5,
17,
10,
9,
14,
3.5,
14.5,
3
] | 0.972269 | [
-0.17775491171863128,
0.7422707239645959,
-0.7137277656696318,
1.6903885489159691,
0.7844568988491945,
-0.5365404642561677,
1.9330020999914095,
-1.083635569950808,
1.1994395883958007,
-0.9472891092943098,
-0.0656266765701447,
0.20635363420558683,
0.5554917030294928,
-0.8286751457896198,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 67 |
9d1382902993d8e771af3489e0021226 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [26, 25], "expectation_value": -4.4999374806790025, "params": null, "bitstrings": ["100101", "100110"], "total_optimization_steps": 28, "probabilities": [1.635688897925884e-05, 0.9999687410137484], "optimization_time": 18.18631625175476} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
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
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
-0.04534139745877805,
0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
11576eab70c2ec583415b5e8bd58f9e2 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1390, 1386], "expectation_value": -0.2102162604975898, "params": [0.3281, -0.0081, 0.3179, -0.015700000000000002, 0.39930000000000004, 0.0049, 0.40180000000000005, 0.0029000000000000002, 0.3244, -0.044700000000000004, 0.3143, -0.0415, 0.4057, 0.0029000000000000002, 0.40140000000000003, 0.0049, 0.38870000000... | 0.25 * (Z(0) @ Z(1)) + -0.0006377551020408162 * (Z(2) @ Z(0)) + -0.0006377551020408162 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0007653... | 6 | 12 | 2 | {"smallest_eigenvalues": [-1.5147959183673465, -1.5147959183673465], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5142857142857147, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5158163265306124} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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] x11;
input float[64] x12;
inp... | {"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,
-0.0006377551020408162,
-0.0006377551020408162,
0.25,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.0007653061224489796,
0.0007653061224489796,
0.000510204081632653,
0.0007653061224489796,
0.0007653061224489796,
0.00051020408163... | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
87224c590a6c623e4385c63f6a5a56ea | connected_components | 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": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 27], "expectation_value": -2.1226652406572035, "params": [0.1689, 0.40030000000000004, 0.3019, 0.2061, 0.2152, 0.3365, 0.3111, 0.1558, 0.1087, 0.34900000000000003, 0.1247, 0.5066, -0.3171, 0.1794, -0.2917, 0.1652, -0.31120000000000003, 0.1379, -0.2957, 0.15180000000000002, 0.32170000000000004, 0.3085, 0.... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(2) | 6 | 5 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.822243038742368) q[0];
rz(3.125872941516012) q[0];
rx(0.17974168344967256) q[1];
rz(1.949880926627925) q[1];
rx(-0.41477122068286326) q[2];
rz(2.8554970925143763) q[2];
rx(-0.8755271994602615) q[3];
rz(1.8212531758931725) q[3];
rx(-0.7064676113500707) q[4];
rz(0.71... | OPENQASM 3.0;
include "stdgates.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": 2} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IZIII",
"IIZII"
] | [
-1,
-1,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970003 | [
0.822243038742368,
1.5550766147211155,
0.1797416834496726,
0.37908459983302883,
-0.4147712206828633,
1.2847007657194796,
-0.8755271994602616,
0.25045684909827637,
-0.7064676113500707,
0.7160535821608828,
0.5186655708969602,
-0.1118533432386061,
-0.35466960996538094,
-0.6054146290312105,
... | {
"n_parameters": 100,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 153 |
c9e23c3d875481c51b6b7ae3dd88ddb0 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [445, 511], "expectation_value": -14.28694680877677, "params": null, "bitstrings": ["1001000010", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.16016935529583548, 0.3911812830407654], "optimization_time": 265.5262224674225} | 0.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(8)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(9)) + 1.0 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.09843583765480085) q[0];
cx q[3], q[0];
rz(1.6142187691994376) q[0];
rx(0.9981896827498792) q[0];
cx q[3], q[1];
rz(0.32237221476411926) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.09843583765480085) q[2];
cx q[3], q[2];... | null | {"node": 0} | {"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[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIZZIIII",
"IZIIZIIIII",
"IZIIIZIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IZZIIIIIII",
"ZIZIIIIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"IIZZIIIIII",
"IIIIIIZIII"... | [
0.5,
-2,
0.5,
-1.5,
-2.5,
-3,
-2.5,
1,
-2.5,
-2.5,
-2.5,
0.5,
1,
0.5,
1,
1,
-3,
-2.5,
-2.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.565407 | [
0.09843583765480085,
0.32237221476411926,
1.3017450754692677,
0.6661955565916792,
0.6086908708256358,
0.3387112450912993,
1.6142187691994372,
0.9981896827498792
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 202 |
d1602a48db0b9ddd29f550e6862bbc0a | 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": 10, "source": 0, "... | {"states": [229, 117], "expectation_value": -28.99941669861312, "params": [[-0.030100000000000002, -0.0064], [0.1012, 0.1086]], "bitstrings": ["00011010", "10001010"], "total_optimization_steps": 20, "probabilities": [0.01611840827487371, 0.01747161807041019], "optimization_time": 3.2743513584136963} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 9.5 * Z(0) + 22.5 * Z(3) + 15.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.01988959587459258) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.01988959587459258) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.01988959587459258) q[2];
cx q[0], q[2];
rz(1.5705949267290302) q[0];
rx(1.5737961387934527) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
22.5,
15,
16.5,
13,
4.5,
3.5,
14.5
] | 0.93496 | [
0.01988959587459258,
1.5705949267290302,
-1.5706474594478201,
-1.5706950642609576,
-1.5707313852024845,
-1.5705995674318687,
1.5706986676279677,
-1.570715889237666,
1.5737961387934527
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 230 |
839e49943c280a605024f1eaa388ffdd | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -1.107549894334638, "params": [[-0.0693, -0.06620000000000001, -0.0205], [0.0718, 0.07730000000000001, 0.058800000000000005]], "bitstrings": ["111100", "111110"], "total_optimization_steps": 10, "probabilities": [0.03201956900111018, 0.03733939251688684], "optimization_time": 2.3... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.610696988332422) q[0];
h q[1];
ry(-1.610696988332422) q[1];
ry(-0.008287823470105224) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08573910863688183) q[3];
rz(-pi) q[4];
ry(-0.053813276033384) q[4];
h q[5];
ry(1.5055160025387713) q[5];
cx q[5], q[4];
ry(0.11911... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIIZ",
"IIZIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-0.75,
-0.25,
-0.5,
1.5,
-1,
-0.5,
0.5,
-0.25,
-0.75,
1.5,
-1,
0
] | 0.997269 | [
1.5055160025387713,
-1.610696988332422,
-1.5348557413287611,
-1.690543994376932,
-1.50548970354966,
-0.23823979855724126,
0.06801711789030701,
-0.05530552399206049
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
d7d01055332214989e6d0d1158e981dc | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [0, 63], "expectation_value": -1.587972376827664, "params": [[-0.007200000000000001, -0.035500000000000004, -0.055400000000000005], [-0.0235, 0.0252, 0.057]], "bitstrings": ["1111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.011951373573676384, 0.01308825358531716], "optimization_time... | -0.25 * (Z(0) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 3.25 * Z(3... | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.056065987942702615) q[0];
ry(0.04731444554150925) q[1];
ry(0.13965633326414878) q[2];
ry(-0.09162924285059836) q[3];
ry(0.0747152677173499) q[4];
ry(1.6747361148983202) q[5];
ry(0.1222992208446019) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIZIZII",
"IZIZIII",
"ZZIIIII",
"IZIIZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-1.75,
-1.5,
-1,
2,
-1.5,
-0.75,
-0.5,
-1.5,
-1.75,
-1.75,
-1.5,
-0.25,
-0.25,
3.25,
-2.25,
1.5,
1,
-3
] | 0.971776 | [
0.056065987942702615,
0.04731444554150925,
0.13965633326414878,
-0.09162924285059836,
0.0747152677173499,
1.6747361148983202,
0.1222992208446019,
-0.027802478358916687,
-0.010982101536667798,
0.010716214130102548,
-0.003013292790767912,
-0.15205972769084672,
-0.06415202441498268,
0.0172702... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 39 |
3d599008e6d247101eb02503201a8a05 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [439, 1015], "expectation_value": -8.626190094756781, "params": null, "bitstrings": ["111001001000", "110000001000"], "total_optimization_steps": 100, "probabilities": [0.10145933749532667, 0.4400528382935296], "optimization_time": 322.34032821655273} | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 3 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5709) q[10];\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];... | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIIZI... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-1,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
1.5,
2,
3,
2,
-2,
... | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
cfd0ed45a418a60a41de202a2c3ccbc7 | 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": [474, 346], "expectation_value": -46.86892031133923, "params": [-0.018500000000000003, -0.41000000000000003, 0.7943, 0.2026, 0.5235000000000001, 0.3276, 0.7998000000000001, 0.159, 0.49670000000000003, 0.24980000000000002, 0.8045, 0.0079, 0.8055, 0.12710000000000002, 0.3941, 0.22970000000000002, 0.7984, 0.243... | 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(0) @ Z(5)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(9) @ Z(8)) + 8.5 * Z(1) + 3.5 * Z(2) + 8.0 * Z(3) + 3.5 * Z(4) + 13.5 * Z(6) + 2.5 * Z(7) + 11.5 * Z(5) + -3.0 * ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["1010100101"], "largest_eigenvalue": 113.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14323189611153153) q[0];
rz(-0.5611267051065596) q[0];
rx(1.1654244586705358) q[1];
rz(0.15372467777596835) q[1];
rx(0.1524334637400403) q[2];
rz(0.8569112867276251) q[2];
rx(1.1589229133495502) q[3];
rz(0.46860661660380243) q[3];
rx(0.14517279228825095) 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIIIZIIIIZ",
"IZIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
8.5,
3.5,
8,
3.5,
13.5,
2.5,
11.5,
-3,
6.5,
-1
] | 0.978973 | [
-0.14323189611153153,
-0.2411748222844279,
1.1654244586705358,
0.15372467777596835,
0.1524334637400403,
0.8569112867276251,
1.1589229133495502,
0.46860661660380243,
0.14517279228825095,
0.05335405498172385,
1.3007131532631238,
0.34296690604032737,
0.7940149574443892,
0.2731949297343183,
... | {
"n_parameters": 88,
"n_qubits": 10,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 17 |
3426438285726070529 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 5, 6, 7, 8, 9, 10], [0, 4, 5, 7], [2, 3, 4, 5, 9, 10], [9, 10, 2, 7], [1, 3, 4, 5, 8], [2, 3, 4, 5, 7, 8, 10], [1, 2, 3, 4, 10], [0, 2, 5, 6, 8, 9, 10], [1, 3, 4, 9], [1, 3, 5, 6, 7, 8, 10], [1, 4, 5, 6, 8, 10], [0, 2, 3, 6, 8, 9, 10], [4, 6, 7, 9, 10]... | {"states": [701, 703], "expectation_value": -3.8426956216890495, "params": [0.3801, 0.4389, 1.5204, 1.6305, 1.6503, 1.5581, 1.5325, 1.5985, 1.4942, 1.6292, 1.445, 1.6739000000000002, 1.6736, 1.4773, 1.3682, 1.7481, 1.7003000000000001, 1.4645000000000001, 1.2148, 1.4782000000000002, 1.5568000000000002, 1.57, 0.2762, 0.9... | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.19047619047619047 * (Z(6) @ Z(1)) + 0.28809523809523807 * (Z(6) @ Z(0)) + 0.14047619047619048 * (Z(7) @ Z(1)) + 0.18095238095238092 * (Z(7) @ Z(0)) + 0.26428571428571423 * (Z(7) @ Z(6)) + 0.1488095238095238 * (Z(8) @ Z(1)) + 0.24880952380952384 * (Z(8) @ Z(0)) + 0.246428571428571... | 14 | 11 | 1 | {"smallest_eigenvalues": [-4.584523809523809], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.520238095238094, "smallest_bitstrings": ["10101000000"], "largest_eigenvalue": 24.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.22993960222310414) q[0];
rz(pi/2) q[0];
ry(1.1368181486430533) q[1];
ry(1.4011587739964992) q[2];
ry(1.4710206446402498) q[3];
ry(1.4240224408918203) q[4];
ry(1.1687424722516935) q[5];
ry(1.8914205424282668) q[6];
ry(1.3087128173983866) q[7];
ry(1.559082356751700... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIZIIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"ZIIZIIIII... | [
0.13333333333333333,
0.19047619047619047,
0.28809523809523807,
0.14047619047619048,
0.18095238095238092,
0.26428571428571423,
0.1488095238095238,
0.24880952380952384,
0.24642857142857144,
0.1988095238095238,
0.20833333333333331,
0.19642857142857142,
0.22023809523809523,
0.15595238095238093... | 0.970359 | [
-0.22993960222310414,
1.1368181486430533,
1.4011587739964992,
1.4710206446402498,
1.4240224408918203,
1.1687424722516935,
1.8914205424282668,
1.3087128173983866,
1.5590823567517003,
1.513812440517391,
1.4652477301331301,
-0.16031315445848107,
1.3485009955897493,
0.48155767784036074,
0.76... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -4.584523809523809,
"target_ratio": 0.97,
"target_value": -4.446988095238094
} | 19 |
bd93bde5e767772200a1d39b0575c595 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 8}, {"capac... | {"states": [1022, 3], "expectation_value": -3.9196669427880133, "params": [[0.1564], [-0.1463]], "bitstrings": ["0000000001", "1111111100"], "total_optimization_steps": 20, "probabilities": [0.004197656253716651, 0.004894261587537794], "optimization_time": 3.984257459640503} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111111100"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2419970375047959) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.37716927580730863) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.2419970375047959) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[8];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IZIIIIIZII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IZIIZIIIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IZIZIIIIII",
"IIIZIIIZII",
"IIIZIIZIII"... | [
-0.75,
-0.5,
-0.75,
-0.75,
-1,
2.5,
-1,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-1.25,
-0.5,
-0.25,
-1,
-1.25,
-1,
-1.25,
-0.75,
1,
-0.25,
-0.75,
2.5,
0.5,
-2.25,
0,
-0.5,
-2,
1.75
] | 0.55704 | [
-0.2419970375047959,
-0.37716927580730863,
-0.3005785556250951,
0.9324663724651178,
-0.315124270408642,
-0.43379358106436927,
0.8206564010634575,
1.0769837310417962,
-0.9702227598837032,
-0.07955208603299788,
-0.7205326892209766,
0.1833086258132914,
-1.0061818138582002
] | {
"n_parameters": 13,
"n_qubits": 10,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 316 |
d2601bbf36e7658df88520110518167a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [38893, 47085], "expectation_value": -12.946901223032471, "params": [1.0652000000000001, 0.1218, 0.525, 0.40940000000000004, 0.6398, 0.35500000000000004, 1.0878, 0.1223, 0.4399, 0.4378, 1.0619, 0.0082, 1.0623, -0.0097, 1.0479, 0.0035, 0.8282, 0.16790000000000002, 1.0409000000000002, 0.0004, 1.081300000000000... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 18 | 16 | 3 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"], "largest_eigenvalue": 56.000000000000156} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(1.6170527242996016) q[0];
h q[1];
ry(0.7805138677541621) q[1];
h q[2];
h q[3];
ry(-0.4322759362401726) q[3];
h q[4];
h q[5];
ry(1.6170527242996016) q[5];
h q[6];
ry(0.7805138677541621) q[6];
cx q[0], q[6];
ry(-0.7805138677541621) q[6];
cx q[0], q[6];
cx q[0]... | 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970924 | [
1.6170527242996016,
1.5610277355083242,
-0.679222417946599,
1.0685797201107086,
-0.7139150329584052,
1.2551773451408712,
-0.8645518724803452,
1.1591405251708378,
-1.2079243771877828,
0.5130784379949134,
-0.5721670552309985,
0.3166512198214887,
-0.5898526595454422,
0.3774141208097306,
-0.... | {
"n_parameters": 46,
"n_qubits": 16,
"optimal_eigenvalue": -15.99999999999997,
"target_ratio": 0.97,
"target_value": -15.519999999999971
} | 6 |
cfcf196786d6d074ade797fa6078553a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [469, 479], "expectation_value": -0.9359509802311681, "params": [[0.0502, 0.08170000000000001], [-0.015000000000000001, -0.0694]], "bitstrings": ["1000101010", "1000100000"], "total_optimization_steps": 10, "probabilities": [0.0013241312309598238, 0.0013241312309598238], "optimization_time": 6.02421855926513... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + 0.5 ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.833333333333334, "smallest_bitstrings": ["1001111010", "1001111001", "1000101001", "10011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.38396551843230375) q[1];
cx q[2], q[1];
rz(-0.4140865431265359) q[1];
rx(1.4388351855267667) q[1];
rz(-0.4140865431265359) q[2];
rx(1.4388351855267667) q[2];
cx q[2], q[1];
rz(0.30052165692203675) q[1];
cx q[2], q[1];
rz(-0.8... | 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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIZIZIIIII",
"IIZIIIIIIZ",
"IIIIZIZIII",
"IIIIIIZIIZ",
"IIZIIIZIII",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIZIIZIIII",
"IIIIIZZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIIIIZIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIZIIZIII"... | [
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.33333333333333337,
0,
0.33333333333333337,
1.5,
0,
-0.5,
1.5,
1.5,
-1.5,
0.6666666666666667,
0.6666666666666667
] | 0.970291 | [
0.034539384198122705,
0.1583793320365209,
0.13174966890782872,
0.023971881933780113,
0.38396551843230375,
0.9058271732652498,
-0.8544721743832904,
-0.8296736871253323,
-0.4140865431265362,
1.4388351855267667,
0.07083576534550291,
0.6657468360247684,
0.4231701738103223,
-0.5671362906981388,... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -6.166666666666667,
"target_ratio": 0.97,
"target_value": -5.9816666666666665
} | 261 |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [126, 1], "expectation_value": -0.7232075445180917, "params": [[-0.0506, 0.075], [0.07690000000000001, -0.049]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010738499110979871, 0.01196226329264445], "optimization_time": 3.0955562591552734} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.0], "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;
rz(-pi) q[0];
ry(-0.05661121897376136) q[0];
h q[1];
ry(-1.604518163982522) q[1];
h q[2];
ry(-1.604518163982522) q[2];
h q[3];
ry(-1.604518163982522) q[3];
h q[4];
ry(-1.604518163982522) q[4];
h q[5];
ry(-1.604518163982522) q[5];
h q[6];
ry(1.5022165539344468) q[6];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-0.25,
-0.75,
-1.25,
2.5,
-0.75,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1.25,
-0.75,
-0.25,
-0.5,
0.5,
1.5,
-1,
0.5
] | 0.997589 | [
1.5022165539344468,
-1.604518163982522,
-0.04577876357227252
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 1 |
57ee338fb11c54f5732d695ad617aa60 | 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": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [442, 255], "expectation_value": -4.902655880119497, "params": [[0.17980000000000002, -1.3306, 0.008, 0.1469, -0.47100000000000003, 0.0092, -0.0461, -0.0041, 1.3738000000000001], [0.1027, -0.0092, -0.0032, 1.3744, -0.0036000000000000003, 0.9376000000000001, 0.0033, 0.0392, -0.0031000000000000003], [1.3562, 1... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -3.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) ... | 9 | 9 | 4 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.026037201523532453) q[0];
ry(0.07677635512812162) q[1];
ry(0.012602255190097979) q[2];
ry(0.026037201523532453) q[3];
ry(-0.020069688422389816) q[4];
ry(0.0025937168665490853) q[5];
ry(0.03728218439050954) q[6];
ry(-1.5068054265156994) q[7];
ry(0.9901545258385747) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIIZI",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIIZI",
"... | [
-0.75,
1,
-0.75,
-1.25,
-1.5,
-0.25,
-1.25,
-0.25,
-3.25,
-0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-1.75,
-0.75,
-0.5,
-1,
-0.25,
-2,
-2.75,
-0.75,
-0.25,
2.25,
0.5,
4.25
] | 0.9701 | [
0.026037201523532453,
0.07677635512812162,
0.012602255190097979,
-0.020069688422389816,
0.0025937168665490853,
0.03728218439050954,
-1.5068054265156994,
0.9901545258385747,
0.06705241330472257,
0.5298011616617547,
0.0028943982304770015,
0.0064044464684036954,
0.004155345700322215,
-0.00905... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 73 |
-1336766891314729242 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [1, 5, 6], [3, 6], [0, 3, 4], [0, 6], [0, 1, 3], [1, 2, 3], [3, 7], [3, 5]]} | {"states": [82, 208], "expectation_value": -2.7783356725024984, "params": null, "bitstrings": ["10101101", "00101111"], "total_optimization_steps": 48, "probabilities": [0.07270311245824886, 0.7791308994621605], "optimization_time": 75.73350858688354} | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.1666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["00101111"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.6433392712326937) q[1];
h q[2];
ry(-0.32012616485527573) q[2];
h q[3];
h q[4];
ry(-0.4004556656781864) q[4];
h q[5];
ry(-0.13005939592458338) q[5];
cx q[3], q[5];
ry(0.13005939592458338) q[5];
cx q[3], q[5];
ry(1.5530304413926543) q[3];
ry(-1.148457... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[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[... | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IZZIIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IIZIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IZIIZIII",
"IIIZIIIZ",
"IIIZZIII",
"IIIIIZZI",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"ZIIIIII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666674,
0.33333333333333326,
0.49999... | 0.973804 | [
1.6433392712326937,
-0.26011879184916675,
1.5530304413926543,
-1.0433898804179642,
-0.5896035553229155,
0.8609695441310098,
-0.786798334956091,
0.19423466023110042,
-0.5696265223445812,
0.5034366803478559,
-0.568040433527502,
-0.6402523297105515,
-0.8009113313563728,
-0.7233181472083268,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 17 |
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