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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
444b62b2304e1a19fde52e526911bdcb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [247, 246], "expectation_value": -1.2041928145163716, "params": [0.4879, 0.3647, 1.0725, 0.341, 1.0792000000000002, 0.27240000000000003, 1.0604, -0.3017, 1.0751, -0.1038, 0.0044, 0.7696000000000001, 1.1074000000000002, -0.003, 1.1067, -0.12350000000000001, 0.8017000000000001, -0.1189, 0.4908, 0.0072000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(3) @ Z(7)) + 0.... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001001", "100000110", "001101000", "010011000"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.48422120993676504) q[1];
cx q[0], q[1];
ry(0.48422120993676504) q[1];
cx q[0], q[1];
ry(1.0591314364533853) q[0];
ry(-0.6600466468166103) q[1];
h q[2];
ry(-0.5491677298042162) q[2];
rz(-pi) q[3];
ry(-0.04868280451431047) q[3];
h q[4];
cx q[4], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZZIIZ",
"IIZZIIIII",
"IIIIIZIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IZIIIZIZI",
"ZIIIIZIZI",
"ZZIIIIIZI",
"ZZIIIZIII",
"ZZIIIZIZI",
"IZIZIIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
0.125,
0.125,
0.125,
... | 0.976114 | [
-1.666160731733247,
-1.5941893273604293,
-0.9684424198735301,
-1.0983354596084325,
0.7452689593608157,
-0.45783046300707414,
0.6277249541851395,
0.3314326109608061,
-0.36579028926250506,
-0.4044323676190723,
0.10034882564473999,
0.012300798927506712,
-0.010927107153268584,
-0.1512815340929... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
08b9883600e02731f158b2b1d5d9c9bd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [3, 1], "expectation_value": -3.274876987050432, "params": [[0.0656, 0.0704], [-0.0698, -0.0746]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.018566120908882964, 0.02438262327902331], "optimization_time": 3.544280767440796} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.1019184672717538) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.15303627208319998) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.2675488550582529) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(0.1019184672717538) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
-1.25,
-2,
-1.5,
-1.25,
-0.75,
-1,
-0.5,
3.75,
-0.25,
-1.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.5,
-0.25,
-0.75,
2.25,
2.5,
-0.5,
-1.75
] | 0.971263 | [
0.1019184672717538,
0.15303627208319998,
0.2675488550582529,
0.46476512296611683,
0.035813695834919695,
0.09530007768597705,
-0.15852781068968608,
0.07033331248619396,
0.7362223705722715,
-0.13317956850501755,
0.8131478071893592,
1.5095742138254278,
0.1498296177374479,
0.3121760974810467,
... | {
"n_parameters": 48,
"n_qubits": 7,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 235 |
-6127881686487540869 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 3, 5], [1, 2, 3, 4], [0, 3, 4, 5], [0, 1, 2, 4]]} | {"states": [22, 54], "expectation_value": -0.9061849142175976, "params": null, "bitstrings": ["101001", "001001"], "total_optimization_steps": 28, "probabilities": [0.025993750067968176, 0.8808559044041484], "optimization_time": 31.19215726852417} | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.133333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-0.9500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.95, "smallest_bitstrings": ["001001"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
ry(-0.24837288246605171) q[2];
cx q[1], q[2];
ry(0.24837288246605171) q[2];
cx q[1], q[2];
ry(-0.15264707109090925) q[2];
cx q[0], q[2];
ry(0.15264707109090925) q[2];
cx q[0], q[2];
ry(0.7072652207092754) q[1];
ry(-0.17054952553353667) q[2];
ry(-... | 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(1.3016) 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];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.13333333333333333,
0.13333333333333333,
0.13333333333333333,
0.05,
0.13333333333333333,
0.05,
0.13333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0... | 0.982944 | [
1.1997525303597858,
0.8982241216509127,
0.5150082148166217,
-0.49674576493210343,
0.4837222391399729,
-0.3052941421818185,
0.44708596313860505,
-0.34109905106707333,
0.5128198056416199,
-0.6325748325084013,
-0.29452385446293444,
0.3415220169214519,
-0.18795224428377844,
0.38875577138455936... | {
"n_parameters": 28,
"n_qubits": 6,
"optimal_eigenvalue": -0.9500000000000001,
"target_ratio": 0.97,
"target_value": -0.9215
} | 2 |
83589d0be6ea441341fbca5be8d28a1a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [48, 56], "expectation_value": -5.22404494742501, "params": [0.061500000000000006, 0.2384, 0.2169, -0.0033, 0.49960000000000004, 0.008, 0.5072, -0.0012000000000000001, 0.5039, -0.0027, 0.3304, 0.1811, 0.078, 0.2084, -0.0079, -0.2523, 0.058, 0.23670000000000002, 0.2417, -0.0009000000000000001, 0.5085000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["11011100", "11100011", "01010111", "11000111"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.1992537892721538) q[0];
rz(2.0727558424018717) q[0];
rx(0.2042425867813041) q[1];
rz(1.4999754213435068) q[1];
rx(0.9259149400616593) q[2];
rz(1.5834252949584062) q[2];
rx(0.6653333820428619) q[3];
rz(1.3607880812586348) q[3];
rx(1.1530160430980225) q[4];
rz(1.738... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IZZIIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIZIIIZI",
"ZIIIIIZI",
"IIZIIZII",
"IIIIIZZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-2,
-1.5,
-2,
-1.5,
-0.5,
-1
] | 0.973618 | [
-0.19925378927215373,
0.501959515606974,
0.20424258678130414,
-0.07082090545138925,
0.9259149400616593,
0.012628968163509936,
0.6653333820428617,
-0.21000824553626204,
1.1530160430980225,
0.1677512551659116,
0.2549285508702698,
0.21404271169126418,
0.08145729288123285,
0.505269766892013,
... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
eba59f50c284ea491834da7e16fa8fc7 | 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": 12, "source": 0, "target": 4}, {"weight": 16, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [217, 214], "expectation_value": -9.207919514517547, "params": [[-0.0514], [0.0708]], "bitstrings": ["100100110", "100101001"], "total_optimization_steps": 10, "probabilities": [0.0042412904514701815, 0.004760350752205133], "optimization_time": 1.824887752532959} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 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(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 3.0 * Z(0) + 12.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.38052690791396165) q[0];
rz(0.12876224261210822) q[0];
rx(0.4129431632583738) q[1];
rz(-0.06465084134299584) q[1];
cx q[1], q[0];
rz(-0.16858860617837823) q[0];
cx q[1], q[0];
rz(1.5592973732717885) q[0];
ry(0.7000341781004477) q[0];
rz(-1.6857574732511131) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10.5,
3,
12.5,
11.5,
0,
11,
15.5,
10.5,
6.5
] | 0.971281 | [
0.3805269079139617,
-0.039826363566269986,
0.4129431632583738,
-0.06465084134299584,
0.0026392553186233812,
0.17111628982817592,
0.16301495096394006,
0.10067041393419487,
0.02266213442633431,
0.1936882971656938,
0.45767754317687187,
0.07251452325467028,
-0.001591014420485962,
0.27170146128... | {
"n_parameters": 144,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 3 |
-4450188244082697685 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [1, 2, 5, 7], [3, 5, 7], [8, 3, 6, 7], [0, 2, 4, 5], [0, 2, 3, 7], [0, 1, 4], [0, 1, 8, 7], [8, 3, 4, 7], [8, 3, 5], [0, 8, 4, 5], [8, 2, 3], [1, 2, 6, 7], [8, 0, 3], [5, 6], [0, 1, 2, 5], [8, 1, 5]]} | {"states": [219, 347], "expectation_value": -2.93588980628876, "params": [1.0983, 0.006500000000000001, 1.0367, 0.004200000000000001, 1.0958, -0.009600000000000001, 1.0463, 0.0049, 1.0951, 0.0099, 1.0925, 0.009600000000000001, 1.0291000000000001, -0.0391, 0.8699, 0.0001, 1.0953000000000002, 0.0098, 1.1024, 0.0013000000... | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.1... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666669, "smallest_bitstrings": ["010100100"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.2702649932974477) q[0];
rz(1.686865534049029) q[0];
rx(0.1783265881556259) q[1];
rz(0.8872030548061209) q[1];
rx(1.8917203056219338) q[2];
rz(1.6142418595801011) q[2];
rx(0.53914124402189) q[3];
rz(1.2842985898894375) q[3];
rx(2.0920355827902415) q[4];
rz(1.6191419... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIZIIII",
"IIZIIIIZI",
"IIIIZIIZI",
"IIZIIIZII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIIZZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZZIIIIII",
"IZIIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IIZIIZIII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.16666666666666666,
0.3333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.4... | 0.971124 | [
1.2702649932974477,
0.11606920725413236,
0.17832658815562594,
-0.6835932719887756,
1.8917203056219338,
0.04344553278520415,
0.5391412440218901,
-0.28649773690545943,
2.0920355827902415,
0.04834564352035101,
2.306824241565059,
-0.030551043290253314,
1.0808924885048008,
0.07054326902913444,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -4.583333333333334,
"target_ratio": 0.97,
"target_value": -4.445833333333334
} | 99 |
c24dd733315066f7c7da3d578f954d8c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [45, 47], "expectation_value": -0.8300384550503445, "params": [[-0.0531, -0.0742, -0.07400000000000001, -0.0674], [0.0419, 0.06620000000000001, 0.0693, 0.0671]], "bitstrings": ["010010", "010000"], "total_optimization_steps": 10, "probabilities": [0.02558054590600737, 0.0291620720439943], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-3.109822845335567) q[0];
h q[1];
ry(-1.5582063124952958) q[1];
rz(-pi) q[2];
ry(-3.109822845335567) q[2];
rz(-pi) q[3];
ry(-3.109822845335567) q[3];
h q[4];
ry(1.469755261649514) q[4];
rz(-pi) q[5];
ry(-3.135276556501939) q[5];
cx q[4], q[5];
ry(-0.107... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"ZIIIZI",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
0,
0,
0,
0
] | 0.994345 | [
-1.5582063124952958,
1.469755261649514,
0.21471432446647404,
0.2656217467992172,
0.18133959097226313
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
d988d1195e1cba5b09bcef60cd96dee4 | 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": [3597, 1549], "expectation_value": -94.93608565359301, "params": [0.3941, 0.0781, 0.5971000000000001, 0.0008, 0.6002000000000001, -0.0097, 0.3251, -0.0403, -0.013300000000000001, 0.3136, 0.003, -0.2932, 0.004200000000000001, 0.4504, 0.3763, 0.14400000000000002, 0.5988, 0.0012000000000000001, 0.5994, 0.031, 0... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(11) @ Z(1)) + 7.5 * (Z(11) @ Z(3)) + 7.5 * (Z(11) @ Z(10)) + 24.0 * Z(1) + 8.5 * Z(0) + 14... | 18 | 12 | 4 | {"smallest_eigenvalues": [-152.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -130.5, "smallest_bitstrings": ["100111110010"], "largest_eigenvalue": 222.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.07072254457200108) q[0];
rz(0.1984172276425329) q[0];
rx(0.7819432782601378) q[1];
rz(0.16680822067413106) q[1];
rx(0.6107314653118816) q[2];
rz(0.21070565351788653) q[2];
rx(-0.08725082760728814) q[3];
rz(-0.26257601429576183) q[3];
rx(0.10347842706803986) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIZIZII",
"IIZIIIIIIIIZ",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"IZIZIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIZIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIIZI... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
24,
8.5,
14.5,
2.5,
-4,
16.5,
4,
17,
1.5,
14.5,
-12,
-14
] | 0.974653 | [
0.07072254457200108,
0.19956341528401866,
0.7819432782601378,
0.16680822067413106,
0.6107314653118816,
0.21070565351788653,
-0.08725082760728814,
-0.26257601429576183,
0.10347842706803986,
0.17191738265787226,
-0.08384668137290524,
-0.2061933840495977,
0.00930459465590193,
0.33716757569874... | {
"n_parameters": 134,
"n_qubits": 12,
"optimal_eigenvalue": -152.5,
"target_ratio": 0.97,
"target_value": -147.92499999999998
} | 15 |
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": 20.93272042274475} | -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 | 3 | {"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 |
cde6b48ed870286595c1455af7aff8bd | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [169, 170], "expectation_value": -0.7172457260155348, "params": null, "bitstrings": ["01010110", "01010101"], "total_optimization_steps": 60, "probabilities": [0.04614141065773419, 0.36665902824752367], "optimization_time": 70.01086282730103} | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["10101010", "01010101"], "largest_eigenvalue": 1.0250000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | {"communities_size": 2, "number_of_communities": 2} | {"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(-0.6059) q[4], 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] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
0.0006944444444444445,
0.0006944444444444445,
0.25,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
0.25,
0.0006944444444444445,
0.0006944444444444445,
-0.0020833333333333333,
0.0006944444444444445,
0.0006944444444444445,
-0.002083333... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -3.648740289970872, "params": [[-0.056400000000000006], [0.0648]], "bitstrings": ["011110", "111100"], "total_optimization_steps": 10, "probabilities": [0.020380261004780086, 0.020630684066309298], "optimization_time": 2.7603418827056885} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
c... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [607, 671], "expectation_value": -2.9913074541787337, "params": null, "bitstrings": ["0110100000", "0101100000"], "total_optimization_steps": 83, "probabilities": [0.039195353000280514, 0.6667044491494435], "optimization_time": 331.0628685951233} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1001001000", "0101100000", "0110010000"], "largest_eigenvalue": 5.4375} | 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[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(-1.1871) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = meas... | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIZIZII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIIIZIZIZ",
"IIZIIIIZIZ",
"IZIIIIIZIZ",
"IIZIIZIIIZ"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 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 |
-8883958345694491462 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [2, 3], [0, 2], [1, 5], [0, 4], [0, 6]]} | {"states": [417, 418], "expectation_value": -0.03379879580443178, "params": [[-0.0511], [0.055600000000000004]], "bitstrings": ["001011110", "001011101"], "total_optimization_steps": 10, "probabilities": [0.0020881311805403847, 0.0020881311805403847], "optimization_time": 3.6714401245117188} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["001011101", "011010110", "011010101", "001011110", "110100001", "110100010", "100101010", "100101001"], "largest_eigenvalue": 3.0} | 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[2];
rz(-1.113038946548403) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-1.113038946548403) q[0];
cx q[2], q[0];
rz(1.2350728439969316e-08) q[2];
rx(0.7853981738023841) q[2];
rz(1.2350728439969316e-08) q[3];
rx(0.7853981738023841) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[8];
rz(x0) q[8];
cx q[7], q[8];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIII",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.63315 | [
-1.113038946548403,
1.2350728381435806e-8,
0.785398173802384
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 95 |
8593b8834e52e999edf6925bd3316e57 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [510, 1022], "expectation_value": -8.619464160130839, "params": [0.016800000000000002, 0.5035000000000001, -0.7298, 0.0022, 0.5296000000000001, 0.12660000000000002, -0.7102, 0.0041, 0.8085, 1.9008, 0.7099000000000001, 0.00030000000000000003, -0.8478, 1.6689, 0.0357, 0.0011, 0.8669, 1.3599, -0.4651, 0.0068000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-1.573703454518612) q[0];
rz(-3.14047613888909) q[0];
rx(3.0308115310761083) q[1];
rz(0.6734192784892188) q[1];
rx(2.010554272140748) q[2];
rz(3.0206871183746102) q[2];
rx(-2.1712612108893157) q[3];
rz(2.9532936306481474) q[3];
rx(2.7161758546999044) q[4];
rz(2.5162... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
-1,
-1.5,
-1.5,
0.5,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.94714 | [
-1.573703454518612,
1.5719128414955998,
3.0308115310761083,
-0.8973770483056777,
2.010554272140748,
1.4498907915797135,
-2.1712612108893157,
1.3824973038532513,
2.7161758546999044,
0.9454532969790569,
-0.38895335517297736,
0.6494148310713042,
0.3887215655869767,
0.6918082468814762,
0.665... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 500 |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [74, 11], "expectation_value": -11.653586946764156, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 45, "probabilities": [0.11460216893613875, 0.7884167124824446], "optimization_time": 44.007670402526855} | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04184615944811212) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.45664904095762016) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.12895850687487254) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.12895850687487254) q[4];
cx q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.5,
3.25,
-1.25,
-0.75,
-1.5,
-0.75,
-2.25,
-0.25,
-1.75,
1.25,
0.75,
0,
2.25
] | 0.970066 | [
-0.04184615944811212,
0.45664904095762016,
0.12895850687487254,
-0.03723472961299448,
-0.21737936292996754,
0.029373184406209597,
0.6374450655047218,
0.5801198435909705,
0.9287483803293076,
-1.0246339813489909,
-0.8274406081529805,
-1.1072203716599882,
1.4433797659572527,
-0.16463148373233... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 114 |
e8fdec38f32f10530d269f6547919d57 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [114, 118], "expectation_value": -2.7084874386258195, "params": [0.0059, 0.3733, 0.7823, 0.1424, 0.7868, 0.0067, 0.7792, 0.022500000000000003, -0.0017000000000000001, 0.5008, 0.4398, 0.116, 0.8805000000000001, -0.1081, 0.057, 0.49710000000000004, 0.0061, 0.37160000000000004, 0.7864, 0.1776, 0.778, 0.00450000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(6) @ Z(2)) + 0.125 ... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["10001001", "01010100"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IZZZIIII",
"ZIZIIIII",
"IIIIZZII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IZIIZZII",
"ZIIIZZII",
"ZZIIIZII",
"ZZIIZIII",
"ZZIIZZII",
"IIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
-0.25,
0.125,
-0.125,
-0.25,
-0.25,
0.125,
-0.125
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
b5e203e63ec3496219a24352650f6c69 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 5}, {"weight": 16, "source": 1, "target": 3}, {... | {"states": [171, 122], "expectation_value": -26.12875559073557, "params": [[0.031100000000000003, -0.0056, 0.014400000000000001, 0.0056], [-0.06760000000000001, -0.0323, -0.0442, -0.0179]], "bitstrings": ["01010100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011696672925217817, 0.0155684667095991... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 176.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009690584669794472) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.009690584669794472) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.009690584669794472) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.009690584669794472) q[3];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
10.5,
20,
22,
19.5,
2,
15,
11.5
] | 0.8875 | [
0.009690584669794472,
1.0644495968180745,
-0.37734491307153717,
1.193186640419008,
1.9579187082258482,
1.4566571941238642,
-0.6535126455651429,
1.515482843275194,
0.000008576733867442173,
-0.04239820967421715,
0.6952275252522051,
-0.9506548249804723,
0.8765199536298071,
-0.3900921718370591... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 500 |
4593286d131e643309f088c8c3f9f810 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [0, 7], "expectation_value": -4.987344572546613, "params": [1.1915, 0.0037, 0.1973, 0.5233, 0.1637, -0.0035, 0.4752, 0.19290000000000002, 0.4315, 0.0034000000000000002, 1.2015, -0.0017000000000000001, 1.1933, 0.0025, 1.2122000000000002, 0.0024000000000000002, 1.2065000000000001, 0.0059, 1.1616, 0.1558, -0.17... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 4 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -5.5, "smallest_bitstrings": ["110110110", "100110111", "111010110", "001111011", "111100101", "011111001", "111110100", "111000111", "011001111", "111111000", "0111... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.18052507590516292) q[0];
rz(1.871429810690464) q[0];
rx(0.06487626084138967) q[1];
rz(1.9439048232108957) q[1];
rx(0.043570692760350895) q[2];
rz(1.3842191612184847) q[2];
rx(-0.20079383337432777) q[3];
rz(2.415906628952351) q[3];
rx(-0.1722854392715986) 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": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"ZIIIZIIII",
"IIIIZIIZI",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1,
-1.5
] | 0.970704 | [
0.18052507590516295,
0.3006334838955679,
0.06487626084138969,
0.3731084964159991,
0.04357069276035091,
-0.18657716557641196,
-0.20079383337432774,
0.8451103021574549,
-0.17228543927159856,
0.3096019216491958,
0.9523968206535531,
-0.2470495557574001,
1.7820499397696128,
-0.19525354574339157... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 26 |
06224520ded029e940b1fde3f5ab3e3b | community_detection | adaptive_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": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2410, 1386], "expectation_value": -1.295328748968152, "params": null, "bitstrings": ["011010010101", "101010010101"], "total_optimization_steps": 100, "probabilities": [0.03909283859056999, 0.4979665645834318], "optimization_time": 285.15624260902405} | 0.25 * (Z(0) @ Z(1)) + -0.0017361111111111112 * (Z(2) @ Z(0)) + -0.0017361111111111112 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00034722222222222224 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + 0.00034722222222222224 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5204861111111114, -1.5204861111111114], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5149305555555554, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5156250000000009} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | null | {"communities_size": 3, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-0.5959) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0017361111111111112,
-0.0017361111111111112,
0.25,
0.00034722222222222224,
-0.0013888888888888892,
0.00034722222222222224,
-0.0013888888888888892,
0.25,
0.00034722222222222224,
0.0006944444444444445,
0.0006944444444444445,
0.00034722222222222224,
0.0006944444444444445,
0.0006944... | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
eea3b85f6c338196bfcd99350b0e2d9a | 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": 4}, {"source": 2, "target": 3}, ... | {"states": [2870, 2878], "expectation_value": -1.6130643500743889, "params": [[[0.17200000000000001, -0.2594, 0.0045000000000000005, 0.0038], [0.5892000000000001, -0.2202, 0.1938, -0.2888], [0.2131, -0.23900000000000002, -0.1285, 0.3457], [0.0931, 0.3613, 0.5867, 0.1495], [0.3014, -0.3144, -0.0155, -0.00930000000000000... | 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)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(5) @ Z(3... | 11 | 12 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.625, "smallest_bitstrings": ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.164147526782816e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(3.164147526782816e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(3.164147526782816e-09) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(3.164147526782816e-09) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIZZIIZ",
"IIIIIIIIZIZI",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIIZIIIIIZI",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIIZIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
... | 0.757576 | [
3.164147526782816e-9,
0.3398368793410832,
1.5707963369699605,
-1.5707963464211774,
1.57079635772165
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 162 |
b4d49656bffdf06123a6759fe750c954 | 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": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -18.578803085487852, "params": [-0.0022, -0.0079, 0.0054, -0.0004, 0.0023, -0.0021000000000000003, 0.2049, 0.199, 0.0044, 0.0015, 0.0032, 0.0006000000000000001, 0.0039000000000000003, -0.0021000000000000003, 0.0063, 0.0026000000000000003, 0.0012000000000000001, 0.0059, 0.000900... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -0.75 * (Z(11) @ Z(0)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(9)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(... | 14 | 12 | 4 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.03590676149021464) q[0];
rz(pi/2) q[0];
ry(0.059795606217184674) q[1];
ry(0.19351506903453203) q[2];
ry(0.27619808624025) q[3];
ry(0.16218461761515757) q[4];
ry(0.04264955184039291) q[5];
ry(-0.012788416687019431) q[6];
ry(-0.11669887957070815) q[7];
ry(0.12535437... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIIIIIIIIIZ",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IIIIIIZIIIZI",
"IIIIIIIIIZZI",
"IIIIZIIIIIZI",
"IIIIIIZZIIII",
"IIZIIIIZIIII",
"IIIIIIIZIIZI",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIZIIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIII... | [
-0.75,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-1.5,
-0.75,
-0.5,
-0.75,
-0.75,
2.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.25,
0.5,
... | 0.980924 | [
0.03590676149021464,
0.059795606217184674,
0.19351506903453203,
0.27619808624025,
0.16218461761515757,
0.04264955184039291,
-0.012788416687019431,
-0.11669887957070815,
0.12535437746036254,
-0.18442818217748028,
-0.020326345139441232,
0.13506204257674642,
0.011920069052916298,
0.1510344717... | {
"n_parameters": 152,
"n_qubits": 12,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 6 |
4c97295c4d10fd438512879e76a3fa94 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {... | {"states": [124, 118], "expectation_value": -23.40584289920052, "params": [[-0.0337, -0.0181, 0.007, 0.0112], [0.0603, 0.0738, 0.0703, 0.0656]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.02278955714010344, 0.02313474866008944], "optimization_time": 7.763367414474487} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 12.5 * Z(1) + 4.5 * Z(0) + 9.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 11.0 * Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 108.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06705697307695388) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06705697307695388) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06705697307695388) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.06705697307695388) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
12.5,
4.5,
9.5,
5.5,
8.5,
11,
10,
3
] | 0.970508 | [
-0.06705697307695388,
-1.0858221740381448,
0.7683541393482292,
-1.037866449491875,
-1.2864236331379229,
0.12089631300890967,
-1.2281342709076082,
-0.5959445715535199,
0.058898953373016205,
0.39104211057759153,
0.11572163969478497,
-0.6202676151810331,
0.42998577073893834,
-0.60274796727804... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 81 |
db0bf17e0b9b70c5e8150c7d717041a4 | 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": [619, 618], "expectation_value": -40.89958175741791, "params": [1.2017, 0.5459, 0.5925, 0.5992000000000001, 0.7369, 0.5356000000000001, 1.1986, 0.047400000000000005, 1.2095, 0.3609, 0.1804, 0.7027, 1.205, 0.1636, 0.0019, 0.739, 1.2035, 0.6909000000000001, 0.8933000000000001, 0.5256000000000001, 1.1991, 0.008... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(8) @ Z(9)) + 1.5 * Z(0) + 2.0 * Z(1) + 8.0 * Z(3) + 4.0 * Z(2) + 6.0 * Z(4) + -1.5 * Z(5) + 6.5 * Z(6) + -5.0 * Z(7) + 5.0 * Z(9) + 2.5 * Z(8) | 18 | 10 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.0, "smallest_bitstrings": ["0110010101"], "largest_eigenvalue": 81.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.4023002568927616) q[0];
rz(0.4868185507019005) q[0];
rx(-0.2007958704194559) q[1];
rz(0.893047986060361) q[1];
rx(-0.010224323865848157) q[2];
rz(1.3076700721405026) q[2];
rx(2.0962062634264536) q[3];
rz(0.0738704606773905) q[3];
rx(1.850027897547245) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
1.5,
2,
8,
4,
6,
-1.5,
6.5,
-5,
5,
2.5
] | 0.977124 | [
1.4023002568927614,
0.37576349618263094,
-0.2007958704194559,
0.893047986060361,
-0.010224323865848157,
1.3076700721405026,
2.0962062634264536,
0.0738704606773905,
1.850027897547245,
0.3941079837227927,
-0.08245447544385448,
0.6987338654213083,
1.7462889947002145,
0.12705766288584108,
0.... | {
"n_parameters": 58,
"n_qubits": 10,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 21 |
6946fbda84d92871847bf53596399897 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -7.8305402978640535, "params": [[[0.0002, 0.37320000000000003], [0.45420000000000005, 0.0006000000000000001], [-0.0001, 0.24150000000000002], [0.0016, 0.4496], [0.0023, 0.3766], [0.6015, 0.0037]], [[0.0024000000000000002, 0.4053], [0.4524, 0.0013000000000000002], [0.0016, -0.060... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.551286213379778) q[0];
ry(0.14995386152144122) q[0];
rz(-1.157952155487887) q[0];
rz(1.7949694323876582) q[1];
ry(0.8600732688310629) q[1];
rz(-1.5619298147562424) q[1];
rz(-1.494414036029636) q[2];
ry(0.25948250070177714) q[2];
rz(2.109430114529392) q[2];
rz(-1.99... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.25,
-0.5,
3,
-0.25,
-1.25,
-0.25,
-1,
0.25,
-0.5,
2.75
] | 0.983075 | [
0.05760476468977301,
0.19533053854689783,
0.2935220690165271,
0.21247908078017866,
-0.33585903240393633,
0.2959684062839665,
-0.34014046378460583,
0.13274283234330986,
-0.10404306296453697,
0.20649247381463964,
0.9880477207375283,
-0.024097524940315328,
0.1102325674469585,
0.19708286430355... | {
"n_parameters": 43,
"n_qubits": 6,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 8 |
c76cc7fae6b2b79c3a2e42661a89d7e4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [0, 1016], "expectation_value": -10.739562620066616, "params": [-0.0154, 1.239, -0.308, 1.651, -0.2326, 0.47900000000000004, 0.093, 1.3508, -0.6954, 1.4356, 0.183, 1.3323, -0.7864, 1.3305, 0.3183, 0.20070000000000002, -0.8073, 1.1955, 0.2406, 1.5368000000000002, -0.7782, 1.4052, -0.10650000000000001, 1.78460... | -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 * ... | 6 | 10 | 2 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 10} | {"circuits": [], "gradients": []} | [
"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 |
4d9e1d8b3b11f3e10faaac0ed524e33d | 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": [109, 93], "expectation_value": -6.432719663793429, "params": [[0.0034000000000000002, -0.0426], [-0.0268, 0.042800000000000005]], "bitstrings": ["10010010", "10100010"], "total_optimization_steps": 10, "probabilities": [0.005818619765722803, 0.006282091234240266], "optimization_time": 3.0446994304656982} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(1) + 5.0 * Z(0) + 1.0 * Z(2) + 7.0 * Z(3) + 15.0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.49710833537202326) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[2], q[3];
rz(0.49710833537202326) q[3];
cx q[2], q[3];
h q[4];
cx q[0], q[4];
rz(0.49710833537202326) q[4];
cx q[0], q[4];
rz(0.2859845262712062) q[0];
rx(0.0922391943192818... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
5,
1,
7,
15,
17.5,
10,
18
] | 0.973947 | [
0.49710833537202326,
-0.3760639293481951,
0.28598452627120563,
1.3867023165254786,
0.2916058414816963,
-0.06720660283623982,
0.48195509895637456,
2.0872831470694853,
0.3366537099240001,
0.09223919431928188,
-0.5055215626026368,
-0.9985022341590077,
1.3312104790628148,
0.45998907255248556,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 54 |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [0, 1], "expectation_value": -20.358313360700592, "params": [[[0.0022, 0.334], [-0.0054, 0.3624], [-0.0037, -0.38], [-0.0036000000000000003, -0.3291], [0.6005, 0.0007]], [[0.0014, 0.3341], [-0.0009000000000000001, 0.3627], [-0.0024000000000000002, -0.3815], [-0.0043, -0.3262], [0.606, 0.0007]], [[0.002400000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
-8.5,
-8.25,
-8.5,
-8.25,
-8
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
b0feb3aae3343307d568064fd81cd991 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [185, 249], "expectation_value": -1.6959163052018866, "params": [0.1958, 0.19920000000000002, 0.39430000000000004, 0.3871, 0.598, 0.6029, 0.3972, 0.3925, 0.5988, 0.5988, 0.6021000000000001, 0.6012000000000001, 0.5875, 0.5939, 0.1061, 0.1041, 0.0994, 0.097, 0.5254, 0.5263, 0.2001, 0.199, 0.384, 0.3932, 0.6005... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.125 * (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(6) @ Z(3)) + ... | 13 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.125, "smallest_bitstrings": ["0010101001", "0010101100", "1010001001", "1000101100", "001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.11503807205460864) q[0];
rz(-0.04570287624914589) q[0];
ry(0.33511397942240595) q[1];
ry(0.8552826590354881) q[2];
ry(0.9650576281729341) q[3];
ry(0.7811503177574416) q[4];
ry(1.2601620003528657) q[5];
ry(0.7102206933589124) q[6];
ry(0.004297236274760377) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIZZIIZ",
"IIIIIIZIZI",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIIZIZIZI",
"IIIZIIZIZI",
"IIIZZIIIZI",
"IIIZZIZIII",
"IIIZZIZIZI",
"IIIIZIIZII"... | [
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,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0.125,
0,
0.125,
-0.125,
-0.25,
-0.25,... | 0.973839 | [
-0.11503807205460864,
0.33511397942240595,
0.8552826590354881,
0.9650576281729341,
0.7811503177574416,
1.2601620003528657,
0.7102206933589124,
0.004297236274760377,
0.049090961789492085,
0.6951539195156542,
-0.09140575249829178,
0.060969722153739414,
0.1950694243124536,
-0.0400863665507421... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 22 |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [25, 22], "expectation_value": -1.5007434388240293, "params": null, "bitstrings": ["00110", "01001"], "total_optimization_steps": 29, "probabilities": [0.06723978163605852, 0.6325175128957774], "optimization_time": 21.747740507125854} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"], "largest_eigenvalue": 4.0} | 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];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.3016) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"ZZIIZ",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25
] | 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 |
37b183b4dc70145272a31a80cccd7f15 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [127, 125], "expectation_value": -1.2073349726084301, "params": [[0.0444, 0.07250000000000001], [-0.028300000000000002, -0.0534]], "bitstrings": ["10000000", "10000010"], "total_optimization_steps": 10, "probabilities": [0.006596603879168266, 0.006647672475425719], "optimization_time": 6.546269178390503} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -2.25 * (Z(5) @ Z(2)) + -1.25 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(0)) + 0.75 * Z(4) + -... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.25, -11.25, -11.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000", "10000010", "11111110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.11174149834812648) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.5516557895705306) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(-0.317004216547579) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[0], q[6];
rz(0.04186691593615... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIIZIZI",
"IIIIZZII",
"IIZIIIZI",
"IIZIIZII",
"ZIIZIIII",
"ZIIIIIIZ",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1,
-2,
-1,
-1,
-1.25,
-2.25,
-1.25,
1.5,
0.75,
-0.25,
0,
0.75,
-2.5,
-0.5,
1.5,
0.25
] | 0.845041 | [
-0.11174149834812648,
0.04186691593615775,
-0.5516557895705306,
-0.6331641652637868,
-0.317004216547579,
-0.2894627742225626,
-0.5891981736167695,
0.1701236134999354,
0.13608382337417127,
-0.24570874744628493,
-0.0015216716957055067,
0.8217944700284973,
-1.232959284409201,
-0.2646386024022... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 489 |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [4, 5], "expectation_value": -3.064600469758751, "params": [[[0.0015, 0.006200000000000001], [1.5951000000000002, 0.003], [0.0024000000000000002, 0.0027], [-1.5892000000000002, 0.0081]]], "bitstrings": ["1011", "1010"], "total_optimization_steps": 160, "probabilities": [0.2513645093934626, 0.2607678100951878... | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) 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;
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[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
-1.25,
1.5,
-0.25,
-1.5,
-1.5,
-0.25,
0,
1.75
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
e6db2dfa08ae604c90d51443a84ac3aa | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": ... | {"states": [1023, 895], "expectation_value": -22.51649522972727, "params": [[[-0.0021000000000000003, 3.1605000000000003], [0.0024000000000000002, 0.0022], [1.6063, -0.0026000000000000003], [0.0021000000000000003, 0.0028], [0.0023, 0.0021000000000000003], [0.0026000000000000003, 0.0022], [0.0025, -0.003], [0.0027, 0.00... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -2.... | 15 | 10 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0010000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.32146682918983277) q[0];
h q[1];
h q[2];
h q[3];
ry(0.710109290808981) q[3];
h q[4];
ry(0.32146682918983277) q[4];
h q[5];
cx q[5], q[0];
ry(-0.32146682918983277) q[0];
cx q[5], q[0];
cx q[0], q[4];
ry(-0.32146682918983277) q[4];
cx q[0], q[4];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII"... | [
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-2,
0.5,
-2.5,
1,
-2,
-2,
-1.5,
-2,
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
] | 0.962909 | [
0.6429336583796655,
1.420218581617962,
0.7301720949807214,
-0.8346875771130606,
0.5352653895369367,
0.973064560113228,
0.032924739863521554,
0.040913603743331924,
0.744673225486058,
1.3563168142516644,
0.19031197915580272,
-0.017749471946519643,
0.10632444600795163,
-0.3087380877661796,
... | {
"n_parameters": 74,
"n_qubits": 10,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 500 |
6079455971109850391 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 6], [0, 2], [0, 3], [0, 4], [0, 5], [1, 7]]} | {"states": [194, 124], "expectation_value": -0.051575996363186945, "params": [[-0.0714], [0.06670000000000001]], "bitstrings": ["00111101", "10000011"], "total_optimization_steps": 10, "probabilities": [0.004319219779543995, 0.004319438633944347], "optimization_time": 0.574836015701294} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(2) + 0.16666666666666663 * Z(1) + 0.16666666666666666 * Z(6) + 0.0 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333, -2.833333333333333, -2.833333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000000", "00111101", "10000011"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.19965052046217344) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.19965052046217344) q[6];
cx q[2], q[6];
cx q[1], q[6];
cx q[2], q[0];
rz(-1.4945630814708064) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[1], q[6];
rz(x0) q[6];
cx... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIZI",
"IZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666663,
0.16666666666666666,
0,
0,
0,
0,
0
] | 0.539871 | [
-0.19965052046217344,
-1.4945630814708064,
0.04815367189486459,
0.7901149445990312
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 113 |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [4, 9], "expectation_value": -0.0777697082647993, "params": [[0.023700000000000002, -0.0489, -0.07250000000000001], [-0.061200000000000004, 0.018600000000000002, 0.0625]], "bitstrings": ["1011", "0110"], "total_optimization_steps": 10, "probabilities": [0.06650316285876244, 0.07051022948359052], "optimizatio... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"], "largest_eigenvalue": 3.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIZZ",
"ZIIZ",
"IZIZ",
"ZZII",
"ZZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"ZIII",
"IZII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.25,
-0.75
] | 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 |
-1643155952550655548 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3], [8, 9], [1, 2], [0, 4], [5, 6], [6, 7]]} | {"states": [373, 374], "expectation_value": -0.0005621199525452092, "params": [[0.0037], [-0.0128]], "bitstrings": ["1010001010", "1010001001"], "total_optimization_steps": 10, "probabilities": [0.000977660853493381, 0.000977660853493381], "optimization_time": 5.406301975250244} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(9) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(7) | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.0, "smallest_bitstrings": ["1010001010", "1010010101", "1010010110", "1010001001", "1100010101", "1100010110", "0011101010", "001110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-1.196061862706034) q[1];
cx q[2], q[1];
rz(5.428647309457801e-09) q[1];
rx(0.7853981754777885) q[1];
rz(5.428647309457801e-09) q[2];
rx(0.7853981754777885) q[2];
h q[3];
cx q[3], q[0];
rz(-1.196061862706034) q[0];
cx q[3], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[9], q[8];
rz(x0) q[8];
cx q[9], q[8];
cx q[2], q[1];
rz(x0) q[1];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIIIZIIIZ",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.733945 | [
-1.196061862706034,
5.428647386990995e-9,
0.7853981754777885
] | {
"n_parameters": 3,
"n_qubits": 10,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 95 |
ab957251534d09507f870c3a6ef42154 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.9999340839148516, "params": null, "bitstrings": ["101011", "101000"], "total_optimization_steps": 25, "probabilities": [1.383436257146194e-05, 0.9999481823871552], "optimization_time": 15.045506715774536} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-1,
0
] | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
-332271662637480751 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 0, 7], [5, 7], [1, 2], [11, 6], [3, 4], [9, 11], [0, 10]]} | {"states": [3388, 3380], "expectation_value": -2.518388843965154, "params": [[[2.7036000000000002, 0.0029000000000000002], [2.6390000000000002, 0.006200000000000001], [0.4877, 0.0071], [2.6595, 0.0092], [0.47190000000000004, 0.0036000000000000003], [0.47740000000000005, 0.006], [2.6285000000000003, 0.0038], [2.7056, 0.... | 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(10) @ Z(0)) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(8) + 0.16666666666... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.33333333333... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.0569981529074703) q[0];
rz(0.17666355128984304) q[0];
rx(3.122463895557245) q[1];
rz(-0.09147263876242774) q[1];
rx(0.031418773536149275) q[2];
rz(-0.009743811547672704) q[2];
rx(3.270419996930306) q[3];
rz(-0.44590057317453935) q[3];
rx(0.013833456240689823) 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": []} | [
"IIIZIIIIIIIZ",
"IIIIZIIIIIIZ",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIIIIIIZZI",
"ZIIIIZIIIIII",
"IIIIIIIZZIII",
"ZIZIIIIIIIII",
"IZIIIIIIIIIZ",
"IIIIIIIIIIIZ",
"IIIZIIIIIIII",
"IIIIZIIIIIII",
"IIIIIIZIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIZIIIIII",
"ZIIIIIIIIIII",
"IIIIIIIZI... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.979943 | [
3.0569981529074703,
0.17666355128984304,
3.122463895557245,
-0.09147263876242774,
0.031418773536149275,
-0.009743811547672704,
3.270419996930306,
-0.44590057317453935,
0.013833456240689823,
0.564334953500568,
0.16600065746763615,
-0.15777759183559567,
3.2920659092601223,
0.1719969800776895... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 16 |
29e92acfe2c6a58b3d167fffb8d12193 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [126, 127], "expectation_value": -27.112316393824884, "params": [[[0.0012000000000000001, 0.0019], [0.002, 0.0017000000000000001], [0.0025, 0.0021000000000000003], [-0.0031000000000000003, 0.0031000000000000003], [0.0029000000000000002, -3.0146], [-0.0032, 0.003], [0.0032, 0.003], [0.0028, -0.003], [0.0022, ... | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -3.5 * (Z(7) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + -3.0 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(4)) + -2.... | 15 | 11 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["11110000000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.08244388558669963) q[0];
ry(-0.1601827065088846) q[1];
ry(0.11173080988857213) q[2];
ry(0.38908038993767613) q[3];
ry(-0.009645283552467937) q[4];
ry(-0.15781380011622673) q[5];
ry(-0.023559564609343678) q[6];
ry(-0.04570027264505146) q[7];
ry(-0.0313236215312149... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIZIZI",
"IIIIZIZIIII",
"IIIZZIIIIII",
"IIIZIIZIIII",
"IZIIZIIIIII",
"IZIIIIZIIII",
"IZIZIIIIIII",
"ZIIIZIIIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IZIIIZIII... | [
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
-3,
1,
-3.5,
0.5,
-3,
1,
0.5,
-2.5,
-2.5,
0.5,
1,
-3,
-2,
0.5,
-2,
1,
-3,
0.5,
0.5,
-2,
-1.5,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97133 | [
-0.08244388558669963,
-0.1601827065088846,
0.11173080988857213,
0.38908038993767613,
-0.009645283552467937,
-0.15781380011622673,
-0.023559564609343678,
-0.04570027264505146,
-0.03132362153121496,
2.843342494254385,
0.05549972818456535,
0.09581477203575835,
-0.06005585272777619,
-0.3597613... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 17 |
9c58c5b77a3170e613a26f379fffeef6 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 25], "expectation_value": -3.996464085561465, "params": null, "bitstrings": ["001110", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634840431890607, 0.9303662506161934], "optimization_time": 16.361257314682007} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110", "100110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | null | 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... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIZIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0,
-0.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
-8130761535533955353 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [3, 4], [3, 6], [5, 6], [1, 2], [2, 4], [4, 6], [1, 3], [0, 2], [4, 5], [0, 1], [0, 6], [2, 6], [2, 3], [2, 7], [5, 7]]} | {"states": [188, 180], "expectation_value": -0.01702182161442746, "params": [[[1.6291, 0.0025], [1.5028000000000001, 0.0064], [1.6174000000000002, 0.0036000000000000003], [1.612, 0.0059], [1.5418, 0.002], [1.6307, 0.0027], [1.5067000000000002, 0.0098], [1.4909000000000001, 0.0019]]], "bitstrings": ["01000011", "0100101... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01001011", "10110100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.9939338513462355) q[0];
rz(-0.16055874047158447) q[0];
rx(0.09818134403094521) q[1];
rz(-1.1750237666029018) q[1];
rx(2.8132472006139024) q[2];
rz(-1.048365884453505) q[2];
rx(3.2601517936905657) q[3];
rz(0.1047600791986249) q[3];
rx(-0.24617401928603738) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IIIZZIII",
"IZIIIIIZ",
"IZIZIIII",
"IZIIZIII",
"ZIZIIIII",
"IIZZIIII",
"IZZIIIII",
"IIIIIIZZ",
"IIIIZIZI",
"ZIIIIZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"IIIIIZZI",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"IIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973964 | [
2.9939338513462355,
-0.16055874047158447,
0.09818134403094521,
-1.1750237666029018,
2.8132472006139024,
-1.048365884453505,
3.2601517936905657,
0.1047600791986249,
-0.24617401928603738,
1.1104741593841023,
2.9881398426478225,
-0.10739053811871613,
0.057885563925893724,
-0.00415618459563721... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 36 |
e2292f14d652f79a3c50664674f22a1b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 10}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target"... | {"states": [1024, 1023], "expectation_value": -12.485560504434694, "params": [[[-0.0001, 0.0036000000000000003], [-0.0023, -0.0007], [-0.006, -0.0016], [-0.0, 0.0022], [-0.0021000000000000003, 0.0023], [0.0012000000000000001, -0.0025], [-0.003, -0.0025], [0.0029000000000000002, 0.0025], [-0.0005, 0.0026000000000000003]... | 0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -1.25 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(7)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(9)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.015654737023271116) q[0];
ry(-0.007452175680877652) q[1];
ry(-0.1516529340035527) q[2];
ry(-0.06158216788807669) q[3];
ry(0.0017285025768348887) q[4];
ry(0.32337633114611825) q[5];
ry(0.014808249862963235) q[6];
ry(0.06360665089902473) q[7];
ry(-0.064543176678861... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IIIIIIIZIZI",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IZIIIIIZIII",
"IZIZIIIIIII",
"IIIIIIZIZII",
"IIIZIIZIIII",
"IZIIIIZIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIIZIII",
"ZIIIIZIIIII",
"ZIZIIIIIIII",
"IIIIIIIIZ... | [
0.25,
-1,
-0.5,
-0.75,
-0.25,
-0.25,
-1.25,
-0.75,
-1,
-0.75,
-0.75,
-1,
-0.25,
-1,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
1,
-0.5,
-1.25,
1,
-0.5,
-0.25,
2.75
] | 0.972057 | [
-0.015654737023271116,
-0.007452175680877652,
-0.1516529340035527,
-0.06158216788807669,
0.0017285025768348887,
0.32337633114611825,
0.014808249862963235,
0.06360665089902473,
-0.06454317667886161,
-1.3011182583846577,
-0.39792629817286645,
0.046483545201045064,
-0.025785875499675953,
0.03... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 67 |
99ca3b0801e4a76b2f575f8916c36cce | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [255, 4095], "expectation_value": -16.360861631777578, "params": null, "bitstrings": ["111100000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.08530165474407139, 0.2643853252790278], "optimization_time": 253.85820126533508} | -2.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.0 ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
ry(0.48072077650386036) q[1];
cx q[0], q[1];
ry(-0.48072077650386036) q[1];
cx q[0], q[1];
ry(0.9353741419778834) q[0];
h q[2];
h q[3];
ry(0.48072077650386036) q[3];
cx q[1], q[3];
ry(-0.48072077650386036) q[3];
cx q[1], q[3];
cx q[3], q[0];
ry(-0.93537... | null | {"node": 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];\ncry(1.5708) q[0], 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... | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIII... | [
-2.5,
-2,
-2,
-2,
0.5,
0.5,
-2,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1.5,
-1.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.944623 | [
0.9614415530077207,
1.8707482839557668,
1.1556324255428734,
-0.13878482544277862,
0.04185182846626225,
0.37873758991070267,
-0.31986284545878013,
0.02857599643380825,
1.4997028004389088,
0.021017843343831905,
0.8611997439687397,
0.012343434304198183,
-0.045322275102313306,
-0.0205707944871... | {
"n_parameters": 80,
"n_qubits": 12,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 500 |
aa3eccfc45c3baf3a612dbef3e2b3b52 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 7}, {"sour... | {"states": [245, 241], "expectation_value": -3.9563441742259284, "params": [[[0.12490000000000001, 0.3835], [0.9086000000000001, 0.0011], [0.9058, -0.0037], [0.9043, 0.0008], [0.8405, 0.0016], [-0.0015, -0.48650000000000004], [0.7368, 0.0541], [0.0014, 0.4555], [0.9015000000000001, -0.003]], [[0.1346, 0.002600000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(5) + -1.5 * Z(7) + 0.0 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["100001110", "100011010"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-2.075492635375354) q[0];
ry(0.11873705437303757) q[0];
rz(1.8972903677985808) q[0];
rz(3.0063678602764874) q[1];
ry(2.7976065437535786) q[1];
rz(-0.3820053559063865) q[1];
rz(1.9432456620169036) q[2];
ry(2.7732086539769187) q[2];
rz(-0.7886854626437745) q[2];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIZIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZIIIIIZI",
"IIIZZIIII",
"IIZIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
-1.5,
0,
-0.5,
0,
-0.5
] | 0.973026 | [
-0.3194078064069014,
0.26229277494817815,
1.8570016899733561,
0.3590718074440668,
1.762901783501394,
0.1526614129976153,
2.1127844262123987,
0.05046111900780406,
1.6273835802445917,
0.0784384213262099,
-0.1804453881371427,
-0.8442641292013084,
-0.44448310633042076,
0.4208932183261799,
0.... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 42 |
a7c7223774ba69fd59573a2c150129c3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -25.81799823027826, "params": [0.0023, -0.40390000000000004, 0.0057, 0.007, 0.0013000000000000002, 0.4001, 0.0036000000000000003, 0.0091, 0.0024000000000000002, 0.602, 0.0024000000000000002, 0.0063, 0.8042, 0.0036000000000000003, 0.8089000000000001, 0.0058000000000000005, -0.00... | -0.25 * (Z(0) @ Z(5)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(8)) + -1.25 * (Z(10) @ Z(9)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(8)) + -0.75 * (Z... | 6 | 12 | 1 | {"smallest_eigenvalues": [-27.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 24.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.016601095060268637) q[0];
rz(1.1707703786516968) q[0];
rx(0.06459627702943035) q[1];
rz(1.9573237523712148) q[1];
rx(0.06634073900192831) q[2];
rz(2.4733156865180925) q[2];
rx(1.021136204425864) q[3];
rz(1.4908281404636199) q[3];
rx(-0.024760025519523093) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIIZIIIIIIIZ",
"IIIZIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIIIIIZ",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIZIIZII",
"IIIIIIIIIZIZ",
"IIIIIZIIIZII",
"IIIZIIIIIZII",
"IIIIIIZIZIII",
"IIIIIIIIZIIZ",
"IIIZIIIIZIII",
"IIZIIIIIZIII",
"IZIIIIIIZ... | [
-0.25,
-1.75,
-0.5,
-0.75,
-0.75,
-0.75,
-1,
-0.25,
-1.25,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
4.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-1.25,
-0.5,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-0.75,
-0.75,
-1.75,
-1.25,
-1,
-0.5,
-0.75,
-1,
-0.75,
2.25,
... | 0.97183 | [
0.016601095060268634,
-0.4000259481431998,
0.06459627702943038,
0.38652742557631853,
0.06634073900192833,
0.9025193597231955,
1.021136204425864,
-0.0799681863312772,
-0.02476002551952309,
-0.055047130213328826,
0.129517417762354,
-0.005437032263180819,
-0.01888798245221089,
0.0079603046984... | {
"n_parameters": 50,
"n_qubits": 12,
"optimal_eigenvalue": -27.25,
"target_ratio": 0.97,
"target_value": -26.4325
} | 6 |
6c6f1752ed458834bc5b270565346232 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [0, 3], "expectation_value": -9.532529786362147, "params": [[[0.0024000000000000002, 0.0024000000000000002], [0.0019, 0.002], [-0.0032, 0.0023], [0.0023, 0.0025], [0.0019, 0.0019], [0.0024000000000000002, 1.6035000000000001]]], "bitstrings": ["111111", "111100"], "total_optimization_steps": 160, "probabiliti... | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * Z(3) + -1.5 * Z(0) + 1.5 * Z(1) + -2.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) | 15 | 6 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(0.0006734124622456289) q[0];
ry(-0.033029248471065774) q[1];
ry(0.01819745917335483) q[2];
ry(-0.01947700962208697) q[3];
ry(-0.033029248471065774) q[4];
ry(0.0006734124622456289) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x1) q[4];
ry(x0) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIZIZI",
"IIIIZZ",
"IIZZII",
"IIIZIZ",
"IIIZZI",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-2,
-2.5,
0.5,
1,
0.5,
-2,
-1,
-2,
-1.5,
1.5,
-2,
0.5,
0.5
] | 0.97199 | [
0.0006734124622456289,
-0.033029248471065774,
0.01819745917335483,
-0.01947700962208697,
-0.07380771003246374,
-0.07664347325529285,
2.4132650153047837
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 9 |
8fa85228f1ab3b361f2e7e3b3150e795 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [480, 487], "expectation_value": -11.64489800703395, "params": null, "bitstrings": ["000011111", "000011000"], "total_optimization_steps": 100, "probabilities": [0.11951096176745185, 0.5865216514129464], "optimization_time": 137.26251006126404} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) | 5 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9952456547999777) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.32439118944162554) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.8631878032498951) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.32439118944162537) q[2];
rx(0.9475125628... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5706) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.497648 | [
0.9952456547999777,
0.32439118944162554,
0.8631878032498951,
1.1537434448074644,
0.9475125628779709
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 174 |
902d1b67930e0629acecd09204caf4e9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [136, 95], "expectation_value": -3.0222454370594614, "params": [[0.1547], [-0.14730000000000001]], "bitstrings": ["01110111", "10100000"], "total_optimization_steps": 20, "probabilities": [0.010494334678297124, 0.010642643914610714], "optimization_time": 2.0834851264953613} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0002406203259945633) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0002406203259945633) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.002239755713033603) q[7];
cx q[1], q[7];
cx q[0], q[7];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.25,
-0.25,
-1.5,
0.75,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
-0.5,
-1.75,
-0.5,
0.25,
-0.25,
-2.5,
-1.5,
1.25,
4,
-1.75,
0.5
] | 0.77774 | [
-0.0002406203259945633,
0.002239755713033603,
-1.5620315308743886,
0.00020706909952766735,
0.029331636032040385,
0.0007288211898819608,
0.11520209218064827,
1.5694007098049831,
-1.4370331811755714,
1.56923526210303,
1.5524995235409658,
1.5661269392947803,
-1.7487633370776487
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 357 |
3fb92c2724b637b3a6562529e78f511e | 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": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [69, 197], "expectation_value": -4.107047744778329, "params": [[-0.0071, 0.795, -0.0034000000000000002, -0.0041, -0.00030000000000000003, 0.6294000000000001, -0.0014, 0.7954], [-0.0222, 0.7937000000000001, -0.0026000000000000003, -0.0036000000000000003, 0.00030000000000000003, 0.6328, 0.008, 0.794], [0.7853,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(7) | 10 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["00111010", "01111000", "01110001", "10001110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03793116302086931) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03793116302086931) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.03793116302086931) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.03793116302086931) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIIIIZI",
"IIIZIIZI",
"IIZIIZII",
"IIZIZIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
0
] | 0.972918 | [
-0.03793116302086931,
-1.4248751134690034,
0.8964339439827548,
1.4787506140257047,
1.5833165455215517,
-1.1332226758853523,
1.2759810525841642,
-1.2072559147152429,
-1.196711431177058,
1.2757363169196658,
-1.3277207555605701,
0.14921189922378797,
-0.33133647995979043,
1.3848966292509064,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 110 |
047a6db213ec2347412434e39dcab446 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [445, 446], "expectation_value": -5.477416105845617, "params": [[-0.13090000000000002, -0.1369], [0.1341, 0.1632]], "bitstrings": ["11001000010", "11001000001"], "total_optimization_steps": 20, "probabilities": [0.0038011261963228, 0.0038011261963228], "optimization_time": 12.518287658691406} | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 1 | 11 | 2 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.7895976344915955) q[0];
h q[1];
ry(-0.7810861968429474) q[1];
h q[2];
h q[3];
ry(1.6087583371568581) q[3];
h q[4];
ry(1.6087583371568581) q[4];
cx q[4], q[1];
ry(0.7810861968429474) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.7895976344915955) q[0];
cx 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
1,
0.5,
-1,
-1,
0.5,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.3333333333333333,
1,
-2.5,
-2.5,
2.5,
2.5,
1.5,
1.5,
1.5,
1.5,
-1,
... | 0.97411 | [
1.6087583371568581,
-1.5621723936858949,
-1.579195268983191,
-1.7000663403512135,
1.0380739879293168,
0.7350162679663793,
1.5754527001879863,
-0.7775594481828644,
-1.3800772367519494,
0.28813208000335316,
-0.7211051201233013,
1.3146153603862532,
-0.355182142317478,
-0.2241765857557586,
0... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -9.333333333333332,
"target_ratio": 0.97,
"target_value": -9.053333333333333
} | 5 |
80a3425d7dd3ea516943dafe20fb34c4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": ... | {"states": [2048, 2047], "expectation_value": -17.257542202746013, "params": [[[0.0187, -0.0688], [0.0073, 0.0013000000000000002], [0.006200000000000001, 0.0024000000000000002], [0.0022, 0.0025], [0.0071, 0.0022], [-0.0056, 0.0021000000000000003], [0.0058000000000000005, -0.0021000000000000003], [0.0049, 0.0022], [0.00... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -1.25 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(0)) + -1.0 * (Z(11) @ Z(6)) + -1.0 * (Z(11) @ Z(8)) + -1.0 * (Z(1) @ Z(11)) + -0.5 * (Z(9) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.08778342465140704) q[0];
ry(0.07241709392496487) q[1];
ry(-0.169641318376138) q[2];
ry(0.011783735526506463) q[3];
ry(0.2531091139776209) q[4];
ry(0.24349340981601217) q[5];
ry(0.05443402955881111) q[6];
ry(-0.11319731088609601) q[7];
ry(-0.05605501405714872) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIZIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"ZIIZIIIIIIII",
"ZIIIIIIIIIZI",
"IIZIIIIIIIZI",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIZIIZIIIII",
"IIZIIIZIIIII",
"ZIIIZIIIIIII",
"IIIIZIIIIIZI",
"IIIIZIZIIIII",
"IIIIIZIII... | [
-0.25,
-0.5,
-0.5,
-0.25,
-1.25,
-0.25,
-1,
-1,
-1,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-1,
-0.75,
-1,
-1.5,
1.5,
-1,
-1,
-0.25,
-1.25,
-0.25,
0.5,
-0.25,
-1,
1.25,
0.25,
-0.5,
0.5,
1.5,
-0.75,
-0.25,
-0.75,
-0.5
] | 0.970674 | [
0.08778342465140704,
0.07241709392496487,
-0.169641318376138,
0.011783735526506463,
0.2531091139776209,
0.24349340981601217,
0.05443402955881111,
-0.11319731088609601,
-0.05605501405714872,
-0.09044697345615194,
0.09110145938609085,
0.2169083442874742,
0.11728024280754942,
0.07222850295477... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 57 |
7203b0dd22c47919131561d597fd7a8a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [17, 1], "expectation_value": -13.499987355609706, "params": null, "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 24, "probabilities": [0.4999936779760564, 0.4999936779760564], "optimization_time": 29.32402515411377} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111110", "111101110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.6261433409579646) q[0];
h q[1];
ry(-1.6261433409579646) q[1];
h q[2];
ry(-1.6261433409579646) q[2];
rz(-pi) q[3];
ry(-0.003475474137040734) q[3];
h q[4];
h q[5];
ry(-1.6261433409579646) q[5];
h q[6];
ry(-1.6261433409579646) q[6];
ry(-0.11685501828103699) q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIZIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-0.25,
-0.25,
-0.75,
2.25,
-0.25,
-0.75,
-0.75,
-1,
-0.25,
-0.5,
-1,
-1.25,
-0.25,
0,
-1,
2.25,
-0.5,
-1,
0.25,
1.5
] | 0.997034 | [
1.5924862099504202,
-1.6261433409579646,
-1.5138906424613596,
-1.5345727500490354,
-0.07939810176580403,
0.11989866789499973
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 1 |
6b7ed53a34b4dd2aa2503ba0aafc7221 | 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": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [25, 1], "expectation_value": -0.762904158271719, "params": [[-0.07350000000000001, -0.0761], [0.0688, 0.0689]], "bitstrings": ["100110", "111110"], "total_optimization_steps": 10, "probabilities": [0.023985241794842, 0.02593506288094859], "optimization_time": 1.7728595733642578} | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.00277685182702987) q[1];
cx q[2], q[1];
rz(0.0027768518270301357) q[2];
rx(1.5696210211582238) q[2];
h q[3];
cx q[3], q[0];
rz(0.00277685182702987) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.0019952943025770145) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"IZZIII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
-0.75,
-0.75,
1,
-0.5,
-1.75,
-0.75,
-0.5,
-0.25,
-0.75,
0.5,
0.5,
0.5
] | 0.735473 | [
0.00277685182702987,
1.1759267912363337e-7,
-0.17998381122439663,
0.0019952943025770145,
1.5707941432274504,
-1.5708341891253215,
1.5696210211582238
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 237 |
3849978047044967984 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 4, 7, 9, 10], [8, 10, 7], [2, 4, 6, 7, 10], [0, 2, 8, 9, 10], [2, 5, 6, 8, 9], [0, 1, 4, 7, 8], [4, 5], [9, 10, 3, 6], [0, 2, 4, 9, 10], [0, 8, 2, 5], [2, 4, 7, 8, 9], [10, 5], [0, 10, 3], [3, 4, 6, 8, 9], [0, 1, 4, 8, 10], [8, 0, 3, 6], [3, 4, 6, 7]]} | {"states": [998, 1002], "expectation_value": -3.930614140938368, "params": [[[-0.0025, 1.5709000000000002, 0.0032, 0.0081], [-0.0025, 1.5709000000000002, 0.0016, 0.004200000000000001], [1.5719, -0.0029000000000000002, 1.5738, 0.008400000000000001], [0.0023, -1.2376, 0.0023, 0.003], [1.5738, 0.0021000000000000003, 1.568... | 0.2 * (Z(3) @ Z(5)) + 0.2833333333333333 * (Z(8) @ Z(5)) + 0.15000000000000002 * (Z(8) @ Z(3)) + 0.2 * (Z(10) @ Z(5)) + 0.25 * (Z(10) @ Z(3)) + 0.1 * (Z(10) @ Z(8)) + 0.2 * (Z(2) @ Z(5)) + 0.2 * (Z(2) @ Z(3)) + 0.26666666666666666 * (Z(2) @ Z(8)) + 0.23333333333333334 * (Z(2) @ Z(10)) + 0.2 * (Z(9) @ Z(5)) + 0.23333333... | 11 | 11 | 1 | {"smallest_eigenvalues": [-4.383333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.299999999999999, "smallest_bitstrings": ["10000010101"], "largest_eigenvalue": 16.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.09259864674114901) q[0];
rz(1.6913734355406789) q[0];
ry(-0.09259864674114901) q[1];
rz(1.6913734355406789) q[1];
cx q[1], q[0];
ry(-0.464356808296969) q[1];
rz(0.6387917001139758) q[1];
ry(1.400494753560848) q[2];
rz(0.07672416406963346) q[2];
ry(0.0012981642024... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZIZIII",
"IIZIIZIIIII",
"IIZIIIIZIII",
"ZIIIIZIIIII",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"IIIIIZIIZII",
"IIIIIIIZZII",
"IIZIIIIIZII",
"ZIIIIIIIZII",
"IZIIIZIIIII",
"IZIIIIIZIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IZIIIIIIZII",
"IIIZIZIIIII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"ZIIZIIIII... | [
0.2,
0.2833333333333333,
0.15000000000000002,
0.2,
0.25,
0.1,
0.2,
0.2,
0.26666666666666666,
0.23333333333333334,
0.2,
0.23333333333333334,
0.26666666666666666,
0.2,
0.26666666666666666,
0.18333333333333335,
0.1,
0.13333333333333333,
0.18333333333333335,
0.13333333333333333,
... | 0.970504 | [
-0.09259864674114901,
1.6913734355406789,
1.400494753560848,
0.07672416406963346,
0.0012981642024223507,
-1.2762660695300243,
1.6378307173467423,
0.0015105552431903886,
1.3343448065698376,
-0.04535841030789977,
1.350929944313264,
0.09140872848057852,
0.8348269688518124,
1.6471318516996396,... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -4.383333333333333,
"target_ratio": 0.97,
"target_value": -4.251833333333333
} | 22 |
5ce236cf319210d2582c544b33b006c6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [150, 158], "expectation_value": -54.58556891802492, "params": [1.5742, 1.5634000000000001, 0.007200000000000001, -0.040600000000000004, 0.6245, 0.5044000000000001, 1.3214000000000001, 1.7791000000000001, 0.8969, 1.0869, 1.3136, 1.7685000000000002, 1.3804, 1.7722, 0.3778, 0.3406, -0.1761, 0.7614000000000001,... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 0.0 * Z(0) + 2.0 * Z(1) + 8.0 * Z(2) + 5.5 * Z(4) + 12.0 * Z(3) + 14.0 * Z(5) + 16.0 * Z(6) + 10.5 *... | 14 | 8 | 1 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["01100001"], "largest_eigenvalue": 133.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.9424299166410666) q[0];
rz(pi/2) q[0];
ry(-0.023371596697962155) q[1];
ry(0.4789348500081499) q[2];
ry(0.9675080524061791) q[3];
ry(0.7899920177725304) q[4];
ry(1.2271968192807021) q[5];
ry(1.186600002597537) q[6];
ry(0.4275169783428991) q[7];
cx q[7], q[0];
ry(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
0,
2,
8,
5.5,
12,
14,
16,
10.5
] | 0.979575 | [
1.9424299166410666,
-0.023371596697962155,
0.4789348500081499,
0.9675080524061791,
0.7899920177725304,
1.2271968192807021,
1.186600002597537,
0.4275169783428991,
-0.31403494934743387,
-0.08588121817822403,
0.2342012010148205,
0.9003287689962267,
-0.16541950198066271,
0.4164264048554136,
... | {
"n_parameters": 32,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 18 |
9eb990d2817d4507a1e9a1f31f8f79ce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [104, 56], "expectation_value": -6.999937480746295, "params": null, "bitstrings": ["0010111", "1000111"], "total_optimization_steps": 32, "probabilities": [1.63569187056525e-05, 0.9999687410148392], "optimization_time": 43.67062067985535} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.12292647584711837) q[0];
rz(-pi) q[0];
ry(-2.9613768013484556) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3499241235450232) q[2];
cx q[2], q[0];
ry(0.010920664489540308) q[0];
cx q[2], q[0];
ry(0.09110301832663617) q[2];
ry(-0.02872093900862384) q[0];
h q[3];
ry(1.385647948... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZZIIIII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IZIZIII",
"ZIIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-2,
-2.5,
-2,
-1
] | 0.997369 | [
-1.5454072326597215,
-1.5443650010788166,
-1.436949186458238,
1.3856479485248068,
1.3499241235450232,
-0.021841328979080615,
0.08131270201707194,
0.18220603665327234,
0.1050766275521009,
-0.002619135292361735,
-0.05744187801724768,
-0.08585061621585412,
0.07397892349269623,
0.0128536980205... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
8199630882471931555 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5], [9, 3, 6, 7], [2, 3], [1, 2, 4], [3, 4], [0, 3, 7], [1, 3, 7], [0, 9, 3], [0, 1], [1, 4, 5, 7], [8, 4, 5, 7], [8, 9], [9, 2, 7], [2, 6], [0, 4, 6], [8, 3], [8, 6], [0, 2, 5, 7], [1, 9, 7], [9, 4, 5, 7]]} | {"states": [23, 694], "expectation_value": -1.065897410583559, "params": [[[1.5731000000000002, 1.3528], [1.7772000000000001, 0.08700000000000001], [1.7998, 1.3904], [1.1223, 0.6082000000000001], [-1.5749, 1.5653000000000001], [-0.012400000000000001, 1.576], [1.1592, 0.8894000000000001], [0.6731, 1.1223], [0.7404000000... | 0.5 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(9) @ Z(5)) + 0.25 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(9)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.41666666666666663 * (Z(7) @ Z(3)) + 0.49999999999999994 * (Z(7) @ Z(9)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.08333333... | 15 | 10 | 1 | {"smallest_eigenvalues": [-5.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.083333333333334, "smallest_bitstrings": ["0101001001"], "largest_eigenvalue": 15.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5809644974962025) q[0];
ry(1.4625332455036952) q[1];
ry(1.499150701778506) q[2];
ry(1.673808334424967) q[3];
ry(-1.5327765602220838) q[4];
ry(-1.6074124741513598) q[5];
ry(1.5728276915611248) q[6];
ry(1.554713668821984) q[7];
ry(1.4638730260424482) q[8];
ry(1.5603... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZIII",
"ZIIIZIIIII",
"ZIIIIIZIII",
"IIIZIIZIII",
"ZIIZIIIIII",
"IIZIZIIIII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"IIIIZIIZII",
"IIIIIIZZII",
"ZIIIIIIZII",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIIZIIIZI",
"IIIIIIZIZI",
"ZIIIIIIIZI",
"IIZIIIIIZI",
"IIIIIIIZZI",
"IIIIZZIIII"... | [
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.41666666666666663,
0.49999999999999994,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.41... | 0.971546 | [
1.5809644974962025,
1.4625332455036952,
1.499150701778506,
1.673808334424967,
-1.5327765602220838,
-1.6074124741513598,
1.5728276915611248,
1.554713668821984,
1.4638730260424482,
1.5603977263636764,
1.4060739614937943,
1.6064518229100837,
1.6049945681299247,
1.7036901198508139,
1.5347494... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -5.583333333333334,
"target_ratio": 0.97,
"target_value": -5.4158333333333335
} | 43 |
61fc58e7ea5c0b858181cef6a00713e4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [444, 188], "expectation_value": -21.7196920839429, "params": [[0.035, 0.0098], [-0.0789, -0.0704]], "bitstrings": ["001000011", "101000011"], "total_optimization_steps": 10, "probabilities": [0.006902542076441927, 0.009776593149775836], "optimization_time": 6.863491058349609} | 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(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02185145395977517) q[0];
cx q[1], q[0];
rz(-0.5588018792017229) q[0];
rx(-0.27985469452490175) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.02185145395977517) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.02185145395977517) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIIZIZIII",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"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,
9,
-2.5,
15.5,
12,
18.5,
15,
17,
0.5,
6
] | 0.975691 | [
0.02185145395977517,
1.4317424449049956,
-0.5588018792017233,
1.5603082420547552,
0.19242374383339958,
1.3485735240723389,
1.011065840572277,
1.498856394896067,
-1.3092618702660563,
-0.32745955943144156,
-0.2798546945249017,
0.11900811374185843,
0.3243858040133379,
-0.6130932728853596,
0... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 53 |
-5479358082000095795 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [2, 4, 5], [1, 2, 3], [0, 2, 5], [3, 4], [1, 4, 5]]} | {"states": [59, 58], "expectation_value": -0.6842407722060356, "params": [0.9005000000000001, 0.0024000000000000002, 0.8988, 0.0048000000000000004, 0.9052, 0.0045000000000000005, 0.9066000000000001, 0.0022, 0.9023, 0.0035, 0.9016000000000001, 0.0092, 0.9009, -0.0022, 0.891, 0.0001, 0.9071, 0.0032, 0.9057000000000001, 0... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) ... | 6 | 6 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333333, "smallest_bitstrings": ["000101"], "largest_eigenvalue": 5.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06741971565445563) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.06741971565445563) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1145198914665358) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.1145198914665358) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZZIII",
"ZIIZII",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.6666666666666666,
0.3333333333333333,
0.33333333333333... | 0.563426 | [
-0.06741971565445563,
-0.1145198914665358,
-1.4276449491814434,
-1.529614803331631,
0.9195891614297272
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 137 |
aefe2993bf32bc736541f2aeda792de8 | 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": [175, 174], "expectation_value": -63.88437561851333, "params": [[[0.49420000000000003, 0.2298], [-0.0051, 0.281], [0.5042, 0.2736], [0.2911, 0.40800000000000003], [0.49710000000000004, 0.49200000000000005], [-0.0012000000000000001, 0.49570000000000003], [0.0858, 0.49500000000000005], [0.2666, 0.4788], [0.238... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(1) @ Z(7)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(8) @ Z(7)) + 9.5 * Z(3) + 9.0 * Z(2) + 15.0 * Z... | 15 | 10 | 4 | {"smallest_eigenvalues": [-114.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -111.0, "smallest_bitstrings": ["1101010001"], "largest_eigenvalue": 207.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.2377130527537934) q[0];
ry(0.12777799053440878) q[1];
ry(0.8639618154508041) q[2];
ry(0.3242804626280839) q[3];
ry(1.031032093975868) q[4];
ry(-0.09740297329403662) q[5];
ry(0.46264676994216997) q[6];
ry(0.11216546769408954) q[7];
ry(0.7131258217128651) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"ZIIZIIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IIZIIIIIZI",
"IZIIIIZIII",
"IZIIIZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9.5,
9,
15,
-5.5,
20.5,
12,
20.5,
-4.5,
26.5,
-13
] | 0.970051 | [
1.2377130527537934,
0.12777799053440878,
0.8639618154508041,
0.3242804626280839,
1.031032093975868,
-0.09740297329403662,
0.46264676994216997,
0.11216546769408954,
0.7131258217128651,
0.27185370432553296,
0.04620392404877932,
0.03019637946953905,
-0.000522654123963049,
0.10990842388133809,... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -114,
"target_ratio": 0.97,
"target_value": -110.58
} | 214 |
-7658767261769624349 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 5], [0, 1, 2, 4, 5, 6]]} | {"states": [79, 107], "expectation_value": -0.10002759226830629, "params": [[-0.31920000000000004], [0.31]], "bitstrings": ["0110000", "0010100"], "total_optimization_steps": 40, "probabilities": [0.009347128443097201, 0.009347128443097204], "optimization_time": 1.6221771240234375} | 0.11666666666666667 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.03333333333333333 * (Z(1) @ Z(2)) + 0.03333333333333333 * (Z(1) @ Z(0)) + 0.03333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.45, -0.45, -0.45, -0.45, -0.45, -0.45, -0.45], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -0.44999999999999996, "smallest_bitstrings": ["0110000", "0000011", "1000001", "1000100", "0010100", "1100000", "0010001"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.4343138416585613e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.1519295675512812) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1519295675512812) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-2.4343138416585613e-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIIIIZZ",
"IZIIIZI",
"IIZIZII",
"IIZIIIZ",
"IZZIIII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"ZII... | [
0.11666666666666667,
0.08333333333333333,
0.08333333333333333,
0.11666666666666667,
0.11666666666666667,
0.08333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.898033 | [
-2.4343138416585613e-8,
0.1519295675512812,
-5.690461452804887e-8,
-1.5707961087523556,
1.5707963305799886,
1.5707964397503436
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -0.45,
"target_ratio": 0.97,
"target_value": -0.4365
} | 181 |
a4887282391b847c36275b441eb6d545 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [3, 20], "expectation_value": -1.083875531908875, "params": [[-0.0216, -0.0604, -0.0645], [-0.0166, 0.057, 0.06280000000000001]], "bitstrings": ["111100", "101011"], "total_optimization_steps": 10, "probabilities": [0.02226731936256704, 0.02226731936256705], "optimization_time": 4.279119491577148} | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5947826491304309) q[0];
ry(-3.1353499367076596) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5947826491304309) q[2];
h q[3];
ry(1.4438293180331603) q[3];
ry(-0.08654683917800882) q[4];
rz(-pi) q[4];
cx q[3], q[4];
ry(0.08255773053450952) q[4];
cx q[3], q[4];
ry(-0.08... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2,
-1.5,
-1.5,
-1.5
] | 0.999195 | [
-1.5947826491304309,
-1.4016917570823781,
1.4438293180331603,
-0.16511546106901903,
0.2414485837592053,
0.10282247901678558
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
845d4ebd15c4dead4b35ce5c109c6ac3 | 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": 3}, {"source": 0, "target": 8}, {"source": 0, "target": 9}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [896, 928], "expectation_value": -8.706740132941169, "params": [[[1.6995, 0.0019], [1.7115, 0.0039000000000000003], [1.7087, 0.0082], [-0.0055000000000000005, 0.006], [1.6514, 0.0006000000000000001], [1.4778, 0.0061], [0.0018000000000000002, 0.01], [-0.0018000000000000002, 0.009300000000000001], [0.003400000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.5, "smallest_bitstrings": ["0101010111", "0001011111", "0011011011", "0001101111"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.047874978666713) q[0];
rz(-0.40208978832690767) q[0];
rx(2.6488940673363373) q[1];
rz(0.04740124585990835) q[1];
rx(3.3113418495510487) q[2];
rz(0.879245678028997) q[2];
rx(-0.12637288117286638) q[3];
rz(0.2422250482604379) q[3];
rx(2.649645515117108) q[4];
rz(0.6... | 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIZIZI",
"ZIIIIIIIZI",
"IIIZIIZIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"IIIZIIIIZI",
"IZIIIIIZII",
"ZIIIIIIZII",
"IIZIIIZIII",
"IZZIIIIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"IIZIIIIZII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIZZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2.5,
-3,
-1,
-2.5,
-1,
-2.5,
-2,
-0.5
] | 0.973838 | [
3.047874978666713,
-0.40208978832690767,
2.6488940673363373,
0.04740124585990835,
3.3113418495510487,
0.879245678028997,
-0.12637288117286638,
0.2422250482604379,
2.649645515117108,
0.6373506229662582,
0.694546325975198,
0.03397549552500065,
-0.14278321747977535,
0.19465533824408948,
-0.... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 13 |
62ca4fdc3f835f51dee1780376d2bf19 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [214, 122], "expectation_value": -12.707400908158043, "params": [[0.0456], [-0.0855]], "bitstrings": ["00101001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.0081599151243682, 0.00940625629708138], "optimization_time": 2.1396491527557373} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | 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[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];
r... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
22.5,
9.5,
12.5,
12.5,
16,
11,
14.5,
0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
5352a77ee8029c0a1cc2f13dec084536 | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"sour... | {"states": [0, 252], "expectation_value": -5.042281165402865, "params": [0.0563, 0.8245, -0.0729, 1.0539, 0.1888, 0.5477000000000001, 0.1212, 0.6935, 0.3904, 1.1349, 0.329, 0.5139, -0.41700000000000004, 0.4827, -0.3436, 0.529, -0.31770000000000004, 0.5074000000000001, -0.3435, 0.5985, -0.34090000000000004, 0.3073, -0.3... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) | 6 | 8 | 2 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000000", "00000011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.26689391520476863) q[0];
rz(1.8815634171615123) q[0];
rx(0.005065105466946079) q[1];
rz(1.2054426963734217) q[1];
rx(0.07691469426052921) q[2];
rz(2.302801022221014) q[2];
rx(-0.042495521522279374) q[3];
rz(1.1610870004133922) q[3];
rx(-0.030371797638472753) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.97488 | [
0.2668939152047687,
0.3107670903666161,
0.005065105466946079,
-0.3653536304214746,
0.07691469426052921,
0.7320046954261172,
-0.04249552152227937,
-0.4097093263815043,
-0.030371797638472753,
0.23229577934773035,
0.0747166405240893,
0.8857088456591191,
0.04521062899081855,
0.6358595752718514... | {
"n_parameters": 80,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 122 |
eaf152c9366c1fc70b9994ec462b6b4c | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -3.9964640440510215, "params": null, "bitstrings": ["011100", "111000"], "total_optimization_steps": 23, "probabilities": [0.06634810230103094, 0.9303665171778082], "optimization_time": 17.967201471328735} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
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(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-1.5,
0,
-0.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [3, 10], "expectation_value": -0.07449985791689012, "params": [[0.0747], [-0.0731]], "bitstrings": ["1100", "0101"], "total_optimization_steps": 10, "probabilities": [0.0666050434829236, 0.0666050434829236], "optimization_time": 0.5701696872711182} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"], "largest_eigenvalue": 4.0} | 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.... | 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIZI",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0
] | 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 |
b4764399bb7694871d7cf0cc7a871143 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -9.24999636362305, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 25, "probabilities": [1.8181884717417974e-06, 0.9999981818115276], "optimization_time": 15.5672926902771} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0026957957401774098) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.10581518505780388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.11540216108184381) q[2];
cx q[3], q[2];
rz(0.4333108148961853) q[3];
rx(0.4323375606494058) q[... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-1,
1.25,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-3,
-0.25,
0,
2.75,
0.5
] | 0.973046 | [
-0.0026957957401774098,
0.18039228660587642,
-0.10581518505780388,
0.11540216108184381,
0.21701496465636422,
0.4333108148961855,
0.3673365099505475,
-0.4099008906290893,
-0.6505096062879676,
-0.7080263566489183,
0.43233756064940576,
-0.1223249177971326,
-0.169718764529791,
-0.0048142708149... | {
"n_parameters": 41,
"n_qubits": 5,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 22 |
475b2f0a232bb0d3ab64793dc24452cb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1738, 1754], "expectation_value": -2.706091420766716, "params": [[[0.7248, -0.012400000000000001, 0.0061, 0.007500000000000001], [0.683, 0.2544, -0.0618, 0.0071], [0.0034000000000000002, 0.1333, 0.0092, 0.1369], [0.27340000000000003, 0.012700000000000001, 0.27080000000000004, 0.0089], [0.9012, 0.0063, 0.004... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 12 | 11 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.8125, "smallest_bitstrings": ["01000110010", "00100101100", "10000100110", "00110100100", "00010100110", "01100100001", "00101100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.141203751720873) q[0];
rz(0.09974369464535335) q[0];
ry(0.015768995776254083) q[1];
rz(0.44914816173938016) q[1];
cz q[1], q[0];
ry(0.5410146253572999) q[0];
rz(-0.19742549213463792) q[0];
ry(0.12366692714844989) q[1];
ry(-0.016500857305919166) q[2];
rz(0.10374467... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIIZZIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.97721 | [
1.141203751720873,
0.09974369464535335,
0.015768995776254083,
0.44914816173938016,
-0.016500857305919166,
0.10374467845304794,
-0.1481527973051474,
0.6300814671890728,
1.328520900525819,
0.1895073173007843,
0.01232531009892275,
0.6650802867782362,
1.1343582893231279,
0.0028847169183136567,... | {
"n_parameters": 90,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 75 |
7335c9aa459fc02b6653b90c3022389f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [28, 29], "expectation_value": -3.8883759316119844, "params": [-0.0073, 0.2823, -0.0159, -0.31070000000000003, 0.17170000000000002, 0.3289, 0.6075, 0.2011, 0.6061000000000001, -0.0066, 0.5934, -0.006900000000000001, 0.024300000000000002, 0.3406, 0.5981000000000001, 0.1826, -0.007200000000000001, 0.2825000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -0.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(7) + -1.5 * Z(1) + -0.5 * Z... | 3 | 8 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["11100010"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.008713086905931026) q[0];
rz(0.714944471732677) q[0];
rx(-0.01937789745471463) q[1];
rz(-0.6247250613332795) q[1];
rx(0.12974189484148566) q[2];
rz(0.5017200283116523) q[2];
rx(1.0659286047580445) q[3];
rz(0.37161719035554786) q[3];
rx(0.9402179713210385) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIIIIIZI",
"IIIZIIZI",
"ZZIIIIII",
"IZIIIIZI",
"IZIZIIII",
"IIIIZZII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
-1.5,
-0.5,
-1,
-0.5
] | 0.972251 | [
-0.008713086905931026,
0.5658492754009559,
-0.019377897454714632,
-0.3636208414893103,
0.12974189484148568,
0.46821377936323894,
1.0659286047580445,
0.3869222200875756,
0.9402179713210383,
0.19143352483841838,
1.015753258835078,
0.04567944469728841,
0.37273500151709565,
0.4086785749862108,... | {
"n_parameters": 66,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
1e2cd655d28b50feb44e1d754bd3f95c | 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": [474, 218], "expectation_value": -43.06282258763865, "params": [1.4976, 0.005, 2.5007, 0.0082, 2.5018000000000002, 0.0045000000000000005, 1.4664000000000001, 0.0036000000000000003, 2.5008, 0.0074, 2.5005, 0.0094, 1.2649000000000001, 0.0038, 2.5054000000000003, 0.009000000000000001, 1.1717, 0.0024000000000000... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(7)) + 5.0 * Z(0) + 6.5 * Z(2) + 13.0 * Z(1) + 4.5 * Z(3) + 12.5 * Z(4) + 3.5 * Z(6) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.16293022276865088) q[0];
rz(0.8849967867990856) q[0];
rx(3.012002781804211) q[1];
rz(-0.2774890041403034) q[1];
rx(2.8776940890313822) q[2];
rz(0.27366841457265983) q[2];
rx(0.41235751103502394) q[3];
rz(0.42436037412296446) q[3];
rx(3.1399051622476457) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZZIII",
"IIZZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
5,
6.5,
13,
4.5,
12.5,
3.5,
8,
21.5,
3
] | 0.978139 | [
0.16293022276865088,
0.5074508057251732,
3.012002781804211,
-0.2774890041403034,
2.8776940890313822,
0.27366841457265983,
0.41235751103502394,
0.42436037412296446,
3.1399051622476457,
-0.197792084547309,
2.986276228028062,
-0.04770725120334247,
0.2443971298921229,
0.591588355429729,
3.26... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 18 |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [3, 11], "expectation_value": -6.009503054026333, "params": null, "bitstrings": ["11111100", "11110100"], "total_optimization_steps": 28, "probabilities": [0.42570392794798445, 0.426398699446226], "optimization_time": 29.134854555130005} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "11111100", "11110110", "11110100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.16999686101045597) q[0];
ry(-0.7461488452616151) q[1];
rz(-pi) q[1];
ry(-0.08098995602078439) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.8918758604400108) q[3];
h q[4];
h q[5];
ry(-0.6909274773558883) q[5];
h q[6];
ry(1.6029270172358627) q[6];
h q[7];
cx q[7], q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.5681) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
0.25,
0.75,
0.75,
0.25
] | 0.970267 | [
-0.33999372202091194,
1.3129654467744951,
1.6029270172358627,
-0.6590546223712845,
0.18968510787131154,
-0.5503415377524958,
-1.7837517208800215,
-1.3818549547117767,
-1.0868611186790245,
-0.44875350089838817,
-0.10942090189840499,
0.17912767502386534,
-0.8058905041901756,
-0.0868358831952... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 24 |
7ea837210961bc7d9277805f82e64e46 | 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": [2127, 2123], "expectation_value": -65.40308509633996, "params": [1.004, 0.0038, 0.0039000000000000003, 0.3059, 0.1744, -0.41590000000000005, 0.1956, -0.3946, 0.617, 0.3307, 0.9979, 0.2286, 0.1728, 0.5057, -0.0013000000000000002, -0.6487, 0.9985, 0.1361, 0.7914, 0.2883, 1.0009000000000001, -0.003100000000000... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(2) @ Z(10)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(8) @ Z(10)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(3) @ Z(8)) + 8.0 * (Z(7) @ Z(11)) + 15.0 * Z(0) + -7.5 * Z(1) + 0.5 * Z(4) + 18.0 * Z(5) + -3.5 * Z(6) + 14.0 ... | 18 | 12 | 2 | {"smallest_eigenvalues": [-137.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.5, "smallest_bitstrings": ["011110110100"], "largest_eigenvalue": 142.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.7074489136750683) q[0];
rz(0.2261773746992799) q[0];
rx(0.1635507500407326) q[1];
rz(0.49469729753766883) q[1];
rx(0.17575906511121706) q[2];
rz(-0.050536524005610456) q[2];
rx(-0.07668558971622977) q[3];
rz(-0.385628031542108) q[3];
rx(-0.13978649007307634) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IZIIIIIIIZII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"IIZZIIIIIIII",
"IIIZIIIIZIII",
"ZIIIZIIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"IIIIIZIIIIII",
"IZIIIIIIIIII",
"IIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
15,
-7.5,
0.5,
18,
-3.5,
14,
-3.5,
3.5,
13.5,
-3,
0,
-7.5
] | 0.975443 | [
1.7074489136750683,
0.1346543757540984,
0.1635507500407326,
0.49469729753766883,
0.17575906511121706,
-0.050536524005610456,
-0.07668558971622977,
-0.385628031542108,
-0.13978649007307634,
0.27622008292813355,
1.5861551359480675,
0.4915389707141611,
0.13851859864182253,
0.35222655666797675... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -137.5,
"target_ratio": 0.97,
"target_value": -133.375
} | 24 |
f5d94ed048c28683c088d45a2d452aca | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [88, 46], "expectation_value": -0.34659080249998997, "params": [[0.0441, 0.0393, 0.0476], [-0.0366, -0.031400000000000004, -0.0308]], "bitstrings": ["0100111", "1010001"], "total_optimization_steps": 10, "probabilities": [0.009544620041088334, 0.009841937459571678], "optimization_time": 4.371521472930908} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02552969185607684) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.02552969185607684) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.02552969185607684) q[2];
cx q[4], q[2];
rz(0.053037807579160656) q[4];
rx(0.03596552598350... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
-1,
-0.5,
0
] | 0.97526 | [
0.02552969185607684,
0.05303780757915737,
-0.932451183068515,
-0.44458931057038503,
0.7248839431352665,
0.035965525983503804,
-0.054060400986610024,
1.483589310496052,
-0.50274110913514,
-1.0054512469546093,
-1.424809320745203,
0.1323102766172392,
0.027709653532014676,
-0.3459560570964707,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 32 |
20b257e7ab3ea05503daa46ec3868b05 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -12.276586696882605, "params": [[[0.0879, 0.2202], [0.1163, -0.1791], [0.10930000000000001, 0.196], [0.0659, 0.23140000000000002], [0.4335, 0.0023], [0.49660000000000004, -0.0002]], [[0.0883, 0.22030000000000002], [0.1187, -0.17900000000000002], [0.10840000000000001, 0.1961], [0.... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5... | 1 | 6 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-6,
-5.75,
-6.25,
-5.5,
-5.25
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
31bcee1b066a63f64c6901bb1e1b69cb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [12, 28], "expectation_value": -2.9724831345737672, "params": [-0.00030000000000000003, 0.30260000000000004, 0.0008, 0.29350000000000004, 0.2615, -0.0046, 0.2594, 0.0304, 0.46040000000000003, -0.048100000000000004, 0.43710000000000004, -0.022500000000000003, 0.41050000000000003, -0.0847, 0.4057, 0.0213, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 5 | 6 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "011010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZZIII",
"ZIIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
f7c0ee1d4c77af9b2736662ef168c92d | 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": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 24], "expectation_value": -11.913302465779886, "params": [0.4093, 0.0352, 0.3783, -0.009600000000000001, 0.40090000000000003, 0.024200000000000003, 0.40090000000000003, -0.012, -0.0548, 0.3315, 0.0212, 0.48600000000000004, -0.042100000000000005, 0.3316, 0.017400000000000002, 0.4048, -0.033800000000000004... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(2) + -1.5 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.45152466802334346) q[0];
rz(1.4066147797774988) q[0];
rx(-0.07143626986274479) q[1];
rz(1.8533040800607736) q[1];
rx(-0.030778545034726844) q[2];
rz(1.5910727584465842) q[2];
rx(0.15712476886296356) q[3];
rz(2.0196619033152476) q[3];
rx(-0.3403221302148819) 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[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZZII",
"ZZIII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
-1,
-2,
-2,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.972686 | [
0.4515246680233434,
-0.1641815470173972,
-0.0714362698627448,
0.2825077532658756,
-0.030778545034726844,
0.020276431651687563,
0.15712476886296356,
0.4488655765203511,
-0.3403221302148819,
-0.34670949748275537,
-0.3200738175387166,
0.07153531278562773,
0.20466436245071123,
0.04228546784642... | {
"n_parameters": 71,
"n_qubits": 5,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 62 |
e8a95cce97a2a99e5fb4ca921097e594 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [511, 247], "expectation_value": -0.2580422545141652, "params": [[-0.057], [0.0679]], "bitstrings": ["1000000000", "1100001000"], "total_optimization_steps": 10, "probabilities": [0.001205812475192291, 0.0012093276010495886], "optimization_time": 2.8184127807617188} | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(9)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["1110011000", "1110001000", "1100001000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-4.477868465969353e-08) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(1.5707962835957394) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(-1.6039293911235947e-08) q[4];
cx q[1], q[4];
cx q[1], q[5];
cx q[4], 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIIIZIIZI",
"IIIIIZZIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIIZIIZII",
"IZIIIZIIII",
"ZZIIIIIIII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"ZIIIIIIIII"... | [
-0.5,
-1.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
1.25,
0,
-0.75,
-1.25,
1,
0.25,
0.75
] | 0.708815 | [
-4.477868465969353e-8,
1.5707962835957394,
-1.6039293911235947e-8,
1.120489413882009e-8,
-1.5707963832734853,
-1.5707963206579452,
-1.5707964246126933,
-1.5707963792403803,
-1.570796363368661,
1.1082793290171544
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 237 |
-1164157439088496540 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [4, 5], [0, 5], [2, 7], [5, 7], [2, 4], [3, 7], [1, 2], [1, 7], [0, 6]]} | {"states": [118, 54], "expectation_value": -2.7398546952361964, "params": null, "bitstrings": ["10001001", "11001001"], "total_optimization_steps": 76, "probabilities": [0.2558348176961792, 0.30411123736476686], "optimization_time": 117.59395670890808} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["00110110", "10001001", "01110110", "11001001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.3711387563095194) q[0];
h q[1];
ry(-0.4210092794963352) q[1];
h q[2];
ry(0.04901977005949175) q[2];
h q[3];
ry(0.04901977005949175) q[3];
h q[4];
ry(0.05632465418673033) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.3711387563095194) q[0];
cx q[6], q[0];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[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... | [
"IIIZZIII",
"IIZZIIII",
"IIZIIIIZ",
"IIIZIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZIIIIZII",
"IIIIIZZI",
"ZIIIIIZI",
"IZIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
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
] | 0.97113 | [
0.11264930837346065,
0.0980395401189835,
-0.06397283890489744,
1.425432636292741,
-0.7422775126190388,
0.8427141712471532,
-0.7376962726432277,
1.5049398296421324,
-1.3652547027114776,
0.39170908910032826,
-0.2019014938356556,
-0.651398635898728,
0.5369905189727733,
-0.8420185589926704,
... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 60 |
-6486720588982531779 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 7], [1, 3], [2, 4], [2, 5], [2, 6]]} | {"states": [206, 79], "expectation_value": -2.6648498591375374, "params": null, "bitstrings": ["00110001", "10110000"], "total_optimization_steps": 61, "probabilities": [0.051247063095390004, 0.7331623859867564], "optimization_time": 74.33952069282532} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 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": ["01001111", "00110001", "11001110", "10110000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.11882291002581881) q[0];
h q[1];
h q[2];
ry(-0.11882291002581881) q[2];
h q[3];
ry(-0.11882291002581881) q[3];
h q[4];
cx q[4], q[3];
ry(0.11882291002581881) q[3];
cx q[4], q[3];
ry(-0.2636411683726303) q[3];
cx q[1], q[3];
ry(0.2636411683726303) q[3];
cx ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[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] = me... | [
"IIIZZIII",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973801 | [
-0.23764582005163762,
1.5795178031601023,
-0.5272823367452606,
1.1843397681518129,
-0.17514126629719784,
-0.3530493025908509,
1.5997633411008816,
1.1595546287062992,
-0.6357335143774046,
0.21338636242958547,
0.8862213149134115,
-0.6816057680165,
0.09226127198270678,
0.10879156050791877,
... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 31 |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [0, 4], "expectation_value": -0.9999847052050915, "params": [0.0099, 0.6552, -0.6071000000000001, 0.2767, 0.0038, 1.0057, -0.0039000000000000003, -0.5747, -0.0001, 0.7948000000000001, -0.5162, 0.36610000000000004, 0.0019, 1.0290000000000001, -0.0046, -1.4100000000000001, -0.0024000000000000002, 0.00120000000... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 18 | 4 | 3 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"], "largest_eigenvalue": 2.3333333333333335} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 2} | {"circuits": [], "gradients": []} | [
"ZIIZ",
"ZIZI",
"IIZZ",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
0.16666666666666674,
0.16666666666666674,
-0.16666666666666666
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
1f15db56645aa784f47efc16e5301c8d | 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": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [0, 1], "expectation_value": -16.604951812381962, "params": [[[-0.0033, 0.008700000000000001], [-0.0027, 0.0061], [0.0023, 0.0078000000000000005], [0.0024000000000000002, 0.0005], [0.0023, 0.0099], [0.0025, 0.0068000000000000005], [1.6128, 0.007500000000000001]]], "bitstrings": ["1111111", "1111110"], "total... | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -2.75 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(2) + 1.5 * Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.14465096475206188) q[0];
rz(0.4273591883110469) q[0];
rx(0.15828442435891127) q[1];
rz(-0.08961878454051071) q[1];
rx(0.026785558305668006) q[2];
rz(-0.18435202575239976) q[2];
rx(0.056047368725162076) q[3];
rz(-0.007867807388838188) q[3];
rx(0.026785558305668006)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIIZI",
"IZIIZII",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-1.5,
-0.5,
-1.5,
-1.25,
-1.75,
-2.75,
-2.5,
-1.5,
-2,
1.75,
-0.5,
0,
-0.25,
1,
-1,
1.5,
-2.5,
1.25
] | 0.971407 | [
-0.14465096475206188,
0.4273591883110469,
0.15828442435891127,
-0.08961878454051071,
0.026785558305668006,
-0.18435202575239976,
0.056047368725162076,
-0.007867807388838188,
0.4253360608059712,
-0.05073043935803761,
-0.21849464254370934,
2.5289511101625592,
0.0059515070340149245
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 6 |
4743a42b98680c4f321c8f72a752812d | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [287, 447], "expectation_value": -11.414364348807236, "params": null, "bitstrings": ["011100000", "001000000"], "total_optimization_steps": 91, "probabilities": [0.15640941847284406, 0.6925526015669172], "optimization_time": 184.54189324378967} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 2 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"], "largest_eigenvalue": 30.166666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.46649451005994) q[0];
h q[1];
ry(0.6154181234488859) q[1];
h q[2];
ry(-0.5514930215325138) q[2];
h q[3];
cx q[3], q[1];
ry(-0.6154181234488859) q[1];
cx q[3], q[1];
ry(0.8741378410306877) q[3];
cx q[1], q[3];
ry(-0.8741378410306877) q[3];
cx q[1], q[3];
cx ... | null | {"source": 0, "sink": 5} | {"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(0.2475) 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] = m... | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIZZIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
2,
0.5,
-0.5,
-0.5,
1,
2,
1,
0.16666666666666674,
0.16666666666666674,
-0.5,
-0.5,
3.5,
7,
3.5,
-0.16666666666666666
] | 0.972673 | [
0.2709847211916842,
0.40264555795763096,
0.12899811327846203,
1.513137859795444,
0.35718583373419116,
1.7142782611060803,
1.7328222848880896,
0.6485768347912756,
1.4510178964029241,
1.2308362468977718,
1.7482756820613754,
0.93298902011988,
0.15122911101274447,
-1.1029860430650276,
0.1357... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -12.166666666666666,
"target_ratio": 0.97,
"target_value": -11.801666666666666
} | 19 |
4819812130218480791 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 3, 4], [0, 3, 4, 5], [1, 2, 4, 6], [0, 1, 2, 4, 5], [0, 1, 2, 5, 6], [0, 1, 4, 6]]} | {"states": [63, 47], "expectation_value": -1.3012771320121843, "params": null, "bitstrings": ["1000000", "1010000"], "total_optimization_steps": 36, "probabilities": [0.021354486978536143, 0.8741465396590415], "optimization_time": 48.67112183570862} | 0.23333333333333334 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(1)) + 0.15000000000000002 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.133333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.35, -1.35], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3499999999999996, "smallest_bitstrings": ["0101000", "1010000"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.20124279290625455) q[0];
ry(-2.851650782228504) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
h q[4];
ry(1.6426783638724185) q[4];
cx q[4], q[1];
ry(-0.131928809921663) q[1];
cx q[4], q[1];
h q[5];
ry(0.5593423542860414) q[5];
cx q[5], q[0];
ry(0.20124279290625455) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4935) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZ... | [
0.23333333333333334,
0.23333333333333334,
0.15000000000000002,
0.05,
0.13333333333333333,
0.05,
0.26666666666666666,
0.26666666666666666,
0.18333333333333335,
0.13333333333333333,
0.1,
0.18333333333333335,
0.1,
0.08333333333333333,
0.13333333333333333,
0.21666666666666667,
0.13333333... | 0.976964 | [
1.6426783638724185,
1.1489256455119443,
0.263857619843326,
0.5593423542860414,
-0.4024855858125091,
0.385539173848808,
-0.19615858821799614,
0.43957727707722694,
-0.3898183866854675,
-0.28378706114357555,
0.4763998835189751,
0.014617001833189008,
-0.2506857823631889,
0.48099607094515834,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -1.35,
"target_ratio": 0.97,
"target_value": -1.3095
} | 1 |
1f7791ae6fd5560a3a35a8333a2af90f | 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": [474, 217], "expectation_value": -49.48692655566094, "params": [[[0.44470000000000004, 0.2757], [0.24130000000000001, 0.37820000000000004], [0.6963, 0.42260000000000003], [0.0952, 0.4325], [-0.1003, 0.6872], [0.0799, 0.4752], [0.0684, 0.7010000000000001], [0.5938, 0.49460000000000004], [0.5181, 0.2972]], [[0... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 12.0 * Z(1) + 4.5 * Z(0) + 4.5 * Z(3) + 5.5 * Z(4) + 10.0 * Z(5) + 3.0 * Z(6) + 2.0 * ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["100100110"], "largest_eigenvalue": 131.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.0859645581673474) q[0];
ry(0.5836518546072508) q[1];
ry(0.9241809869535977) q[2];
ry(-0.2619184774840785) q[3];
ry(0.13289873721688847) q[4];
ry(-0.05947881755190039) q[5];
ry(0.6316684080491713) q[6];
ry(1.2814541772325412) q[7];
ry(0.4354349757679918) q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
16.5,
12,
4.5,
4.5,
5.5,
10,
3,
2,
8
] | 0.973813 | [
1.0859645581673474,
0.5836518546072508,
0.9241809869535977,
-0.2619184774840785,
0.13289873721688847,
-0.05947881755190039,
0.6316684080491713,
1.2814541772325412,
0.4354349757679918,
0.07686401654365027,
0.003755980539148364,
-0.07327459405806994,
-0.08230309893345601,
-0.0034811454637430... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -77,
"target_ratio": 0.97,
"target_value": -74.69
} | 120 |
0d4975981166b2874d2e3fb8df49ba97 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [246, 214], "expectation_value": -18.625584664312257, "params": [[-0.0391, -0.005], [0.0755, 0.0738]], "bitstrings": ["100001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.007192095872372902, 0.010183599761447693], "optimization_time": 3.379971981048584} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 1 | 9 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.162757405416695) q[0];
ry(-2.0563557565526267) q[1];
rz(-pi) q[1];
h q[2];
ry(64.29142043296271) q[2];
cx q[2], q[1];
ry(0.09694622257236636) q[1];
cx q[2], q[1];
ry(9.39298353706952) q[2];
cx q[1], q[2];
ry(-9.39298353706952) q[2];
cx q[1], q[2];
ry(0.173... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"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,
14,
0.5,
18.5,
13.5,
7.5,
5,
7.5,
2.5,
7
] | 0.970603 | [
0.0532888134221188,
63.41435872412596,
64.29142043296271,
1.8613625272880303,
-0.19389244514473272,
18.78596707413904,
1.3280109631111439,
0.34751548818583144,
-0.22022091549443135,
-3.3690305503862925,
-0.10375331964482451,
-0.007905693228739755,
-0.2950197673207729,
0.8827595868957637,
... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 113 |
ef86cdfaf327bff6279da2b2e63cb516 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [69, 100], "expectation_value": -4.496397933718333, "params": null, "bitstrings": ["0111010", "0011011"], "total_optimization_steps": 29, "probabilities": [0.06635199478816646, 0.930326892353071], "optimization_time": 22.079219102859497} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0011011", "1101100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3294273376932007) q[0];
h q[1];
ry(-0.09351612922936302) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.632448645206053) q[3];
h q[4];
ry(1.3294273376932007) q[4];
cx q[4], q[2];
ry(0.022376937123773526) q[2];
cx q[4], q[2];
ry(-0.05801539275043973) q[2];
rz(-pi) q[5];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIZIII",
"ZIIIIZI",
"IIZIZII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1,
-0.5,
-0.5
] | 0.994772 | [
-1.632448645206053,
-1.662979958513898,
-1.4549032604417602,
1.3294273376932007,
-1.1144399248686607,
0.6136168687261874,
-0.04475387424754705,
-0.47034710208353786,
0.5913181929216926,
-0.42901955319133867,
0.15395367542431893,
-0.11775997548360093,
0.1127100693980449,
0.26797101269760465... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
20b257e7ab3ea05503daa46ec3868b05 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [9, 3], "expectation_value": -5.553728705023106, "params": [[0.0614, 0.0444], [-0.055200000000000006, -0.0623]], "bitstrings": ["110110", "111100"], "total_optimization_steps": 10, "probabilities": [0.029047560985186988, 0.030031260154145395], "optimization_time": 3.688060998916626} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-6,
-5.75,
-6.25,
-5.5,
-5.25
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
44cb55d884739c282edfb6e94584205a | 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": [534, 598], "expectation_value": -41.998177411424, "params": [[[0.5951000000000001, 0.3694], [0.0736, 0.2441], [0.24680000000000002, 0.1885], [0.6076, 0.601], [-0.1797, 0.5946], [0.604, 0.5943], [0.116, 0.5933], [0.128, 0.5997], [0.42760000000000004, 0.6025], [0.3899, 0.1368]], [[0.5976, 0.38330000000000003]... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(7) @ Z(8)) + 1.5 * Z(0) + -5.5 * Z(1) + 6.5 * Z(3) + 4.0 * Z(2) + -2.0 * Z(4) + 8.5 * Z(5) + -5.0 * Z(6) + 11.5 * Z(9) + 15.5 * Z(8) + ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["0110101001"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.0096506479884806) q[0];
ry(-0.07448422569538826) q[1];
ry(-0.08305306309011215) q[2];
ry(1.0793312285739884) q[3];
ry(0.08479184275111436) q[4];
ry(1.2016655156648468) q[5];
ry(0.04225283229261305) q[6];
ry(0.060251827191516144) q[7];
ry(0.5406512905277903) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIIZIII",
"ZIIIZIIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IZZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIZIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
1.5,
-5.5,
6.5,
4,
-2,
8.5,
-5,
11.5,
15.5,
8.5
] | 0.970076 | [
1.0096506479884806,
-0.07448422569538826,
-0.08305306309011215,
1.0793312285739884,
0.08479184275111436,
1.2016655156648468,
0.04225283229261305,
0.060251827191516144,
0.5406512905277903,
0.5350341642718519,
0.13002654289262197,
0.050672946961189985,
-0.09095188839205978,
0.632711104443276... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 84 |
be5567089ea669cee1a7aa408c6e9375 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [44, 13], "expectation_value": -3.9890657137564833, "params": null, "bitstrings": ["1010011", "1110010"], "total_optimization_steps": 31, "probabilities": [0.0602365163119294, 0.8645372849351084], "optimization_time": 28.967379570007324} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110110", "1101010", "1010011", "0010111", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(3.4051761076440845e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(3.4051761076440845e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(3.4051761076440845e-08) q[3];
cx q[2], q[3];
rz(-1.5707962957304016) q[2];
rx(-1.5707962257900... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IZZIIII",
"IZIIIZI",
"ZIIIIZI",
"ZZIIIII",
"IIIZZII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5
] | 0.75 | [
3.4051761076440845e-8,
-1.570796295730401,
1.5715949956260666,
-1.5707962379665277,
-1.5707962257900674
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 224 |
-773711819106880432 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 6], [1, 2, 5], [4, 6], [4, 5], [0, 4], [2, 3, 4, 7], [0, 1, 3, 6, 7], [2, 3, 5, 6], [1, 2, 4, 7], [1, 3, 4, 7]]} | {"states": [244, 120], "expectation_value": -2.838444157796664, "params": null, "bitstrings": ["00001011", "10000111"], "total_optimization_steps": 47, "probabilities": [0.01991479676291283, 0.8522359083981578], "optimization_time": 81.93031811714172} | 0.41666666666666663 * (Z(1) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["10000111"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.6994836620902475) q[0];
ry(-2.932038337590702) q[1];
rz(-pi) q[1];
h q[2];
ry(1.703740377978978) q[2];
ry(-2.9961838733275807) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.3762578634006666) q[5];
cx q[4], q[5];
ry(0.3762578634006666) q[5];
cx q[4], q[5];
ry(-... | 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(1.5405) 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[... | [
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"IIIZIZII",
"IIIZIIZI",
"IZIZIIII",
"IIZZIIII",
"IIIIIIZZ",
"IZIIIIIZ",
"IIIZIIIZ",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZIZIII",
"IIIZZIII",
"IIIIZIIZ",
"ZIIIIZII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIIZIII... | [
0.41666666666666663,
0.25,
0.21666666666666667,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.05,
0.05,
0.5,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.16666666666666666,
0.05,
0.... | 0.972304 | [
1.703740377978978,
1.2745191489128254,
-0.7525157268013332,
1.3192580164259813,
-1.398967324180495,
-1.1066349682252357,
1.1344638743520306,
-0.6928573155432182,
0.13352951971586205,
-0.7297956876029177,
0.45355627288755024,
-0.48938725025639634,
0.3017367952397174,
-0.3618946880934183,
... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -3.083333333333334,
"target_ratio": 0.97,
"target_value": -2.9908333333333337
} | 14 |
72ec18873d3dc55875c8efef46485470 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [0, 31], "expectation_value": -10.3348272312439, "params": [[[-0.0047, 0.5668000000000001], [-0.0025, -0.0023], [-0.0029000000000000002, -0.0022], [-0.0029000000000000002, 0.0029000000000000002], [0.0016, -0.31220000000000003], [1.2509000000000001, 0.0018000000000000002]], [[-0.328, -1.7928000000000002], [-0... | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 15 | 6 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(0.6718764267967782) q[1];
h q[2];
h q[3];
ry(0.6718764267967782) q[3];
cx q[2], q[3];
ry(-0.6718764267967782) q[3];
cx q[2], q[3];
ry(1.5535753734037667) q[2];
cx q[2], q[1];
ry(-0.6718764267967782) q[1];
cx q[2], q[1];
ry(0.8533483681362799) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-0.75,
-1,
-1.25,
-2.5,
-2.25,
-1,
-1.25,
2.25,
-1,
1,
-0.25,
-1.25,
-0.25,
0.75,
0
] | 0.97048 | [
1.3437528535935563,
1.5535753734037667,
0.8533483681362799,
-0.9362082007339845,
0.4623959360555589,
0.35436786059694586,
0.04302867212514143,
0.0500982270858599,
-1.6453394811112914,
-0.9180761020979388,
-1.558383651126498,
1.0819988838696692,
1.0170011116603797,
-0.25552214888759683,
-... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 108 |
53257acbee1a5c33a13799de8119c8cc | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.022736756115896328, "params": [[0.0718], [-0.0805]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.6718226398806334e-05, 1.6718226398806347e-05], "optimization_time": 14.995505094528198} | 0.25 * (Z(0) @ Z(1)) + -0.0005177514792899408 * (Z(2) @ Z(0)) + -0.0005177514792899408 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.000628698224852071 * (Z(4) @ Z(0)) + -0.0005177514792899408 * (Z(4) @ Z(2)) + -0.000628698224852071 * (Z(5) @ Z(1)) + -0.0005177514792899408 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.020414201183407], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0204142011833444, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.011242603550216} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1078054787743417) q[0];
ry(-0.09326201610736246) q[1];
ry(1.7293321336399945) q[2];
ry(-0.22205049796513868) q[3];
ry(1.7175917528182973) q[4];
ry(-0.0994987560583257) q[5];
ry(1.290110671027614) q[6];
ry(-0.05527197223057636) q[7];
ry(1.3321903332435656) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0005177514792899408,
-0.0005177514792899408,
0.25,
-0.000628698224852071,
-0.0005177514792899408,
-0.000628698224852071,
-0.0005177514792899408,
0.25,
-0.0005177514792899408,
-0.0003698224852071006,
-0.0005177514792899408,
-0.0005177514792899408,
-0.0003698224852071006,
-0.00051... | 0.971991 | [
1.1078054787743417,
-0.09326201610736246,
1.7293321336399945,
-0.22205049796513868,
1.7175917528182973,
-0.0994987560583257,
1.290110671027614,
-0.05527197223057636,
1.3321903332435656,
1.8630820344746417,
0.09343541171196851,
1.5868148223538554,
-0.08494458230817932,
1.430459911349099,
... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.0204142011834008,
"target_ratio": 0.97,
"target_value": -1.9598017751478987
} | 23 |
-4232890276205139084 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 4, 5, 7], [2, 6], [0, 2, 5, 7, 8], [1, 4, 5], [8, 9, 1, 6], [8, 9, 10, 7], [3, 4], [1, 3, 9], [2, 10], [1, 5, 6, 8, 10], [3, 5, 6, 7, 10], [0, 9, 3, 8], [8, 1, 2, 5], [0, 2, 3, 7, 9], [8, 4, 7], [0, 1, 3, 5], [0, 9, 3, 6], [0, 9, 4], [0, 1, 2], [1, 10, 5,... | {"states": [1693, 1629], "expectation_value": -5.76631470066469, "params": [1.5748, 0.0025, 1.5718, 0.0005, 1.5696, 0.0018000000000000002, 1.5681, -0.5403, -0.0027, -1.5389000000000002, -0.0026000000000000003, 0.0044, 1.8185, 0.4249, 1.4677, 1.2097, 0.6114, 0.0017000000000000001, 0.6323000000000001, 0.00260000000000000... | 0.3333333333333333 * (Z(9) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.25 * (Z(7) @ Z(4)) + 0.3833333333333333 * (Z(7) @ Z(9)) + 0.26666666666666666 * (Z(7) @ Z(5)) + 0.05 * (Z(2) @ Z(9)) + 0.13333333333333333 * (Z(2) @ Z(5)) + 0.1 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(9)) + 0.1... | 8 | 11 | 1 | {"smallest_eigenvalues": [-5.933333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.7666666666666675, "smallest_bitstrings": ["00110100010"], "largest_eigenvalue": 24.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.6282021984815058) q[0];
rz(1.5315618859488547) q[0];
rx(1.7444591465000678) q[1];
rz(0.05626438508619809) q[1];
cx q[1], q[0];
ry(0.019617220423020984) q[0];
cx q[1], q[0];
ry(1.5376601692894165) q[0];
rz(-1.55733819745902) q[0];
rx(1.4604680824802905) q[1];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZIIII",
"IIIIIZZIIII",
"IZIIIZIIIII",
"IIIZIIZIIII",
"IZIZIIIIIII",
"IIIZIZIIIII",
"IZIIIIIIZII",
"IIIIIZIIZII",
"IIIZIIIIZII",
"IZIIZIIIIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIIZIIIZII",
"IIIIIIZIIIZ",
"IZIIIIIIIIZ",
"IIIIIZIIIIZ",
"IIIZIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIZIIII... | [
0.3333333333333333,
0.25,
0.08333333333333333,
0.25,
0.3833333333333333,
0.26666666666666666,
0.05,
0.13333333333333333,
0.1,
0.16666666666666666,
0.1,
0.05,
0.5,
0.16666666666666666,
0.3833333333333333,
0.13333333333333333,
0.1,
0.26666666666666666,
0.08333333333333333,
0.3333... | 0.97377 | [
1.6282021984815058,
-0.03923444084604197,
1.7444591465000678,
0.05626438508619809,
-0.06181941447364662,
-1.7332433932713571,
1.8196732097219712,
0.5146318466457094,
0.6979803370552982,
-0.06177481074235421,
3.0090342570334356,
1.0534490121019227,
1.4535782333443785,
0.029319619434356615,
... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -5.933333333333334,
"target_ratio": 0.97,
"target_value": -5.755333333333334
} | 3 |
-6360132544053711652 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 4], [2, 4, 6], [8, 7], [0, 1, 2, 8], [0, 2, 5, 7], [1, 2, 4, 5], [8, 5], [1, 3, 5, 6], [8, 0, 6], [1, 2, 3], [2, 4, 7], [4, 5, 6, 7], [0, 1, 4, 6], [0, 3], [0, 1, 2, 4], [2, 3, 6]]} | {"states": [474, 462], "expectation_value": -3.27079276530059, "params": [1.4868000000000001, -0.0261, 1.0682, 0.0063, 1.4928000000000001, -0.028900000000000002, 1.0469, 0.0066, 1.4937, -0.0201, 0.8769, 0.0088, 0.7537, -0.0074, 0.28390000000000004, 0.0046, 1.1988, 0.15860000000000002, 1.2399, 0.008, 1.49, -0.0609, 1.30... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.41666666666666663 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.3333333333333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333334, "smallest_bitstrings": ["000110001"], "largest_eigenvalue": 14.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.0922663394157635) q[0];
rz(1.596420565740198) q[0];
rx(2.20349565611753) q[1];
rz(1.5181579322059857) q[1];
rx(2.5888180098143545) q[2];
rz(1.3375966341921268) q[2];
rx(0.39358861676580353) q[3];
rz(1.7509387979311866) q[3];
rx(1.5348425395332408) q[4];
rz(1.507614... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIIIIIIZI",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIZZIII",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIZIZII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIZII",
"ZZIIIIIII",
"IZIIZIIII",
"IZIIIIZII",
"IZZIIIIII",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"... | [
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.08333333333333333,
0.3333333333333333,
0.49999999999999994,
0.16666666666666666,
0.16666666666666666,
0.25,
0.3333333333333333,
0.33333333333... | 0.971217 | [
2.0922663394157635,
0.025624238945301636,
2.20349565611753,
-0.05263839458891152,
2.5888180098143545,
-0.23319969260277,
0.39358861676580353,
0.18014247113628984,
1.5348425395332408,
-0.06318211034797998,
2.96480719114395,
-0.03994621083179332,
3.107473661593385,
-0.8857223555023839,
1.5... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -4.416666666666667,
"target_ratio": 0.97,
"target_value": -4.284166666666667
} | 277 |
93c13fab9e34fc37930983d686b23550 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [255, 254], "expectation_value": -2.300354812319071, "params": [[0.061200000000000004], [-0.0488]], "bitstrings": ["00000000", "00000001"], "total_optimization_steps": 10, "probabilities": [0.006308703320052506, 0.006384370074726416], "optimization_time": 3.127654790878296} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 2.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + -3.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(3) @ Z(5)) + -3.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + -3... | 5 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5774192676055356) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5774192676055356) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.6771819541108098) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(-0.4252084696170514) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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];
r... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIIIZZI",
"IIIZIZII",
"IIZIIZII",
"IIIIZZII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIII... | [
-3,
-3,
-2.5,
2,
-3,
-3,
-3.5,
1.5,
-3.5,
-3.5,
-3,
1,
1.5,
-3,
-3,
0.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.537061 | [
-0.5774192676055356,
-0.6771819541108098,
-0.4252084696170514,
-0.5636796500274506,
-0.3885354397587995,
-0.362310387205197,
-0.10522118613573798,
-1.5707965036755724,
-1.0628797607300235
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 274 |
b575860502e0560613ed09a59a899ee7 | 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": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [145, 209], "expectation_value": -13.281779301465654, "params": [0.0023, 0.0037, 3.1444, 0.0008, -1.6345, 0.0022, -0.0025, 0.0026000000000000003, 2.9445, 0.0007, -0.0024000000000000002, 0.0016, -0.0026000000000000003, 0.0077, -0.0037, 0.0015, -3.1444, 0.0043, 0.0053, 0.0035, 0.0078000000000000005, 0.00750000... | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(8) @ Z(2)) + 2.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100101000", "100100000", "100101100", "100101110", "100111110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6747571563390294) q[0];
h q[1];
ry(1.5707963238176894) q[1];
h q[2];
ry(0.7853981619088447) q[2];
cx q[1], q[2];
ry(-0.7853981619088447) q[2];
cx q[1], q[2];
h q[3];
ry(-1.3495143126780589) q[3];
h q[4];
ry(0.5128520253092295) q[4];
ry(-0.1436995236604681)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIZIZIII",
"IIIZIIIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"... | [
-0.75,
-1.25,
-1,
-0.5,
-0.25,
-1,
2.25,
-1.25,
-1.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
0.75,
-0.25,
-2.5,
2.5,
-0.5,
0,
-1.25,
1,
0.25
] | 0.944693 | [
1.5707963238176894,
-1.3495143126780589,
1.1712080563313636,
-0.1669381602266709,
0.37137860651958127,
-1.2833972152299074,
-1.646619630057409,
-0.47114339462441057,
0.028209621441536343,
1.025704050618459,
3.195662669943168e-8,
-0.25795750505028736,
0.5157535956890039,
8.828875549406355e-... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 407 |
f83a24061b1538365ea5863841ae1bf9 | 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": 11, "source": 0, "target": 7}, {"weight": 12, "source": 0, "target": 3}, {"weight": 17, "source": 1, "tar... | {"states": [419, 242], "expectation_value": -18.754288603077676, "params": [[-0.028, -0.0172], [0.059500000000000004, 0.0753]], "bitstrings": ["001011100", "100001101"], "total_optimization_steps": 10, "probabilities": [0.006857166523548451, 0.007496259971247225], "optimization_time": 3.556932210922241} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04871646612516628) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.04871646612516628) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.04871646612516628) q[1];
cx q[0], q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.04871646612516628) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIZIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
12,
10.5,
10,
17.5,
-2.5,
3,
15.5,
8.5
] | 0.970674 | [
0.04871646612516628,
-1.8688513198462988,
0.7685111574059985,
-0.8440976668675935,
-1.792414361819576,
-0.8909371382579828,
1.275892672462125,
1.3454998306546064,
-0.9336965764881793,
0.722699565597045,
1.0788790798445864,
-0.003455671583784653,
0.2680719975684451,
1.0517416217444742,
-1... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 72 |
0c136e8dc8bc6c98b83eebf3c4ea24ad | 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": 1}, {"source": 0, "target": 2}, {"source": 3, "targ... | {"states": [8189, 8191], "expectation_value": -14.447696006410546, "params": [[[-0.48860000000000003, 0.2501], [0.1927, 2.8892], [-0.0025, -0.044700000000000004], [0.0033, 0.0023], [-0.0032, -0.0031000000000000003], [-0.0021000000000000003, -0.0021000000000000003], [-0.0019, 0.002], [-0.0029000000000000002, -0.00180000... | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(10)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(11) @ Z(13)) + -1.5 * (Z(12) @ Z(13)) + 0.5 * (Z(12) @ Z(11)) + -1.0 * Z(1) + -1.0... | 15 | 14 | 1 | {"smallest_eigenvalues": [-17.49999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.499999999999744, "smallest_bitstrings": ["10000000000000"], "largest_eigenvalue": 18.49999999999994} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(-0.006939110853282686) q[0];
ry(1.7713375388174624) q[1];
ry(-0.011290113367828453) q[2];
ry(0.07159848293331586) q[3];
ry(0.038115787113455736) q[4];
ry(0.017130082630124853) q[5];
ry(0.1760549485303876) q[6];
ry(-0.02637980723790194) q[7];
ry(0.025674991299036033)... | OPENQASM 3.0;
include "stdgates.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": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIZZIII",
"IIIIIIIIIZIZII",
"IIIIIIIZZIIIII",
"IIIIIIZZIIIIII",
"IIIIIIZIZIIIII",
"IIIZIZIIIIIIII",
"IIIZZIIIIIIIII",
"IIIIZZIIIIIIII",
"ZIZIIIIIIIIIII",
"ZZIIIIIIIIIIII",
"IZZIIIIIIIIIII",
"IIIIIIIIIIIIZI",
"IIIIIIIIIIIIIZ",
"IIIIIIIIIIZIII"... | [
0.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970786 | [
-0.006939110853282686,
1.7713375388174624,
-0.011290113367828453,
0.07159848293331586,
0.038115787113455736,
0.017130082630124853,
0.1760549485303876,
-0.02637980723790194,
0.025674991299036033,
0.04063755252805329,
0.05499751922265729,
-0.047413520418021396,
0.029079700815119076,
0.023882... | {
"n_parameters": 23,
"n_qubits": 14,
"optimal_eigenvalue": -17.49999999999986,
"target_ratio": 0.97,
"target_value": -16.974999999999866
} | 81 |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"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": [3, 7], "expectation_value": -13.36870389644702, "params": [[[0.22360000000000002, 0.1857], [0.26580000000000004, 0.18580000000000002], [0.2627, 0.1885], [0.2581, -0.1869], [0.2516, 0.18760000000000002], [0.5858, 0.0022], [0.5939, 0.0015], [0.5876, 0.0021000000000000003]], [[0.22540000000000002, 0.1857], [0.... | 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(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 1 | 8 | 3 | {"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;
rz(2.2678692430954843) q[0];
ry(0.133982112329514) q[0];
rz(-1.6423171496700617) q[0];
rz(2.865239814634158) q[1];
ry(0.10791559648463672) q[1];
rz(-2.28638342328192) q[1];
rz(1.9493878355086798) q[2];
ry(0.421390967996594) q[2];
rz(-1.6340873891194703) q[2];
rz(1.60446... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"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,
2.75,
3,
2.75,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.970676 | [
-0.1009869528208311,
0.2011463194306295,
-0.18388450202335396,
0.11641300867557425,
-0.1790840385320124,
0.2759826702065239,
0.2521979674672631,
-0.4285969017555645,
-0.1906059886326268,
0.9293906646938866,
0.9046304454595955,
0.13113208583620667,
1.1395547029818167,
-0.04090143663475966,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 14 |
aaa0b19e64bf3c35281517d1fd2e9593 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -0.0845209979742671, "params": [[-0.0637], [0.06770000000000001]], "bitstrings": ["011000", "101000"], "total_optimization_steps": 10, "probabilities": [0.016979972296809993, 0.0172135003160007], "optimization_time": 0.9001147747039795} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx q[1]... | 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[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[2], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
0,
0,
0
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
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