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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
89f87b4bec5b392e93d27e26f6c760da | 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}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"sourc... | {"states": [16382, 32767], "expectation_value": -18.56690844732156, "params": [[[-0.9686, 1.1117000000000001], [0.1179, 1.1131], [-0.0021000000000000003, 0.49410000000000004], [-0.0029000000000000002, -0.0017000000000000001], [-0.0034000000000000002, -0.0034000000000000002], [-0.0026000000000000003, -0.0016], [-0.00260... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + -2.0 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + 1.0 * (Z(12) @ Z(10)) + -2.0 * (Z(12) @ Z(9)) + -2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(12)) + -2.0 * (Z(13) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ ... | 15 | 15 | 1 | {"smallest_eigenvalues": [-25.999999999999805], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.999999999999776, "smallest_bitstrings": ["000000000000000"], "largest_eigenvalue": 28.000000000000128} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.09436451480954773) q[0];
ry(-0.35843224116058336) q[1];
ry(0.025513077592491166) q[2];
ry(-0.061395113821472475) q[3];
ry(-0.009074972654136204) q[4];
ry(0.07262024080655614) q[5];
ry(0.07262024080655614) q[6];
ry(0.14732531363651) q[7];
ry(-0.08791611142914313) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 14} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIZIIIIIIZI",
"IIIIIIZIIIIIIIZ",
"IIIIIIIZIIIIIIZ",
"IIIIIIZZIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIZIIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IZIIIIIIIIIIZII",
"IIIIIIIIIIIZZII",
"IZIIIIIIIIIZIII",
"ZIIIIIIIIIIIZII",
"... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-2,
1,
-2,
-2,
1,
-2,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1
] | 0.981167 | [
0.09436451480954773,
-0.35843224116058336,
0.025513077592491166,
-0.061395113821472475,
-0.009074972654136204,
0.07262024080655614,
0.14732531363651,
-0.08791611142914313,
-0.020597565664992545,
-0.029508422064285555,
-0.06159857648557467,
-0.015838643758170956,
3.069275142891948,
0.000845... | {
"n_parameters": 23,
"n_qubits": 15,
"optimal_eigenvalue": -25.999999999999805,
"target_ratio": 0.97,
"target_value": -25.21999999999981
} | 62 |
d75363653ef00cde7e482c2c3392dff7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [10, 11], "expectation_value": -5.338172012372656, "params": [0.0009000000000000001, 0.4344, -0.0024000000000000002, -0.449, -0.0026000000000000003, 1.5868, -0.0028, 2.1104000000000003, 0.0028, 1.3773, -1.3951, -0.0019, 0.0001, 2.0787, 1.5724, 0.8611000000000001, 0.8946000000000001, 0.5800000000000001, 0.001... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5800016602217045) q[0];
ry(-3.0160182889402423) q[1];
rz(-pi) q[1];
ry(-0.7937295761698439) q[2];
rz(-pi) q[2];
h q[3];
ry(0.7483050100221447) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7483050100221447) q[3];
cx q[4], q[3];
ry(0.5506897500678624) q[4];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZZIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-1,
0,
-1.25,
-0.25,
1.5,
1.25
] | 0.97588 | [
1.635354928027199,
1.6535551550449947,
1.4966100200442893,
1.2823506458400487,
-1.160003320443409,
1.2213443738772067,
1.3259987864913463,
-0.7536541197185559,
1.1013795001357247,
0.24812610013146263,
0.3257426326105941,
-0.5864937370001171,
-0.3811460272498714,
-0.024507037660432593,
0.... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 2 |
a71cab9e3ba720ee8fc5b11fa692bee6 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"sour... | {"states": [327, 455], "expectation_value": -6.228210860915735, "params": [0.3043, 0.3005, 0.2994, 0.2995, 0.3025, 0.2989, 0.0198, 0.0221, 0.0, -0.0033, 0.018600000000000002, 0.0207, 0.3015, 0.3095, 0.29960000000000003, 0.30610000000000004, 0.3048, 0.3047, 0.3038, 0.3084, 0.302, 0.3062, 0.3044, 0.3028, 0.025, 0.0215000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * Z(3) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.8145671648648184) q[0];
rz(-0.02738280574307984) q[0];
ry(0.48358145928127755) q[1];
ry(0.7112877905166939) q[2];
ry(-0.1638593973278838) q[3];
ry(0.04870424468304349) q[4];
ry(-0.04447360582812602) q[5];
ry(0.5860643363172106) q[6];
ry(0.6649198510266324) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-3.5,
-1.5,
0,
-0.5,
-0.5,
-1,
0
] | 0.977319 | [
0.8145671648648184,
0.48358145928127755,
0.7112877905166939,
-0.1638593973278838,
0.04870424468304349,
-0.04447360582812602,
0.5860643363172106,
0.6649198510266324,
0.34338490434780167,
-0.05476561148615968,
0.15387576474060424,
0.020860290055094266,
0.06534089327697051,
-0.345657196078632... | {
"n_parameters": 96,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 10 |
e2cbf83d8a4377682b0162d93453c5a7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target":... | {"states": [0, 496], "expectation_value": -15.783075550110873, "params": [[[0.0025, 0.007500000000000001], [-0.0028, 0.0055000000000000005], [0.0022, 0.0022], [0.0022, 0.0057], [1.6059, 0.0097], [0.0029000000000000002, 0.0009000000000000001], [0.0022, 0.0049], [0.0024000000000000002, 0.0098], [0.767, 0.0054]]], "bitstr... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 ... | 2 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000001111"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.21487008976099592) q[0];
rz(-0.03187892270013076) q[0];
rx(0.1646364809174778) q[1];
rz(-0.28016840691891515) q[1];
rx(-0.06873754946593186) q[2];
rz(-0.06873754946593186) q[2];
rx(-0.06873754946593186) q[3];
rz(0.43240332484418836) q[3];
rx(2.8709808447064007) 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": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IZIZIIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-2,
1,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1,
-1.5
] | 0.974313 | [
-0.21487008976099592,
-0.03187892270013076,
0.1646364809174778,
-0.28016840691891515,
-0.06873754946593186,
0.43240332484418836,
2.8709808447064007,
-0.15207545566499675,
-0.08652597521617401,
0.42377413627688987,
0.028379998743843983,
-0.13323672122951774,
0.39171128454607834,
0.267881091... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 13 |
e0516bb518ee285d23a8010370ebd407 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [1918, 1854], "expectation_value": -2.6886634968895122, "params": [0.1748, 0.1526, 0.17400000000000002, 0.1535, 0.3169, 0.0758, 0.3221, 0.08600000000000001, 0.3093, 0.0776, 0.3078, 0.0897, 0.3547, -0.0395, 0.3543, -0.0252, -0.0057, 0.22890000000000002, -0.0033, 0.2338, 0.1694, 0.1451, 0.1716, 0.1385, 0.36110... | 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(4) @ Z(3)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(5) @ Z(0)) + 0.03125 * (Z(0) @ Z(6)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(0) @ Z(8)) + 0.03125 * (Z(5) @ Z(3)) + 0.03125 * (Z(6) @ Z(3)) + 0.03125 * (Z(3) ... | 7 | 12 | 4 | {"smallest_eigenvalues": [-3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.78125, "smallest_bitstrings": ["010011100000", "0100110000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04328000785297783) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.04328000785297783) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.04328000785297783) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(0.04328000785297... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIIIZIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIIIZZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.... | 0.980511 | [
0.04328000785297783,
-1.455649869643561,
1.4052522464945618,
-1.5874463397838816,
1.6147429593034577,
-1.4666268071066326
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 28 |
cd6b95f7911cf005cdf71a0eba496ffd | 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": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [255, 251], "expectation_value": -7.989972529209846, "params": [[[0.0857, 0.0286], [-0.0028, 0.008400000000000001], [-0.0011, 0.0028], [-0.006900000000000001, 0.0025], [-0.00030000000000000003, -0.0025], [-0.001, -0.0028], [0.5399, -0.026000000000000002], [-1.1509, -0.053000000000000005], [1.5212, 0.33380000... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (... | 15 | 9 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["100011100", "100001100", "100000100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7735667615416032) q[0];
rz(-pi) q[1];
ry(-3.079434104535893) q[1];
h q[2];
ry(1.516306984161729) q[2];
h q[3];
ry(0.7885357724872817) q[3];
cx q[2], q[3];
ry(-0.7885357724872817) q[3];
cx q[2], q[3];
h q[4];
ry(0.766889092337976) q[4];
h q[5];
h q[6];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIZIIIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIIZIIZII",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-0.25,
-0.75,
-0.25,
1.25,
-0.75,
-1.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-1,
0,
-1,
2,
0.25,
-1.5,
0.75
] | 0.993641 | [
1.516306984161729,
1.5770715449745634,
1.533778184675952,
1.632038848267938,
-1.5471335230832064,
-1.3209620156551498,
-0.22881298705678083,
0.19835338234569008,
0.0022335835759770746,
-0.1446095482429703,
0.1313641484193141,
-0.07455320949885036,
-0.10924030059404183,
-0.10448094640486925... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
6ca7d17fd5da99c16b5e08c2388f4219 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [1, 255], "expectation_value": -1.371221744357199, "params": [[0.0738, 0.0787], [-0.0599, -0.0745]], "bitstrings": ["111111110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.004719959192397043, 0.004744877243420546], "optimization_time": 4.310921907424927} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000", "111111110", "101000000", "101100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.005199878430952781) q[0];
rz(0.49753994051744854) q[0];
rx(0.009444908772521665) q[1];
rz(0.056812599041951906) q[1];
rx(0.0102766991684648) q[2];
rz(-0.676310269412558) q[2];
rx(0.0016931880366726111) q[3];
rz(0.9424830252791354) q[3];
rx(0.0016931880366726115) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIIIZIIZI",
"IZIZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"... | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
0.5,
-0.25,
-0.25,
-0.25,
-2.75,
0,
1.25,
0,
1,
0.75,
0.25
] | 0.970696 | [
-0.005199878430952782,
0.37496190897554177,
0.009444908772521663,
-0.23217063461303789,
0.0102766991684648,
-0.4946957216394926,
0.0016931880366726111,
0.7310045504369199,
-0.3930316605389239,
-0.05982864059873119,
0.5973458095286764,
-0.2609853964398807,
-0.022565700292863936,
0.740756047... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 6 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.950769278611542, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10567978594697186, 0.607881399029803], "optimization_time": 69.6365077495575} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 13 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
-4103587775195423515 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4], [0, 1], [1, 3], [5, 6]]} | {"states": [49, 50], "expectation_value": -0.04221515852251651, "params": [[0.0789], [-0.07780000000000001]], "bitstrings": ["1001110", "1001101"], "total_optimization_steps": 10, "probabilities": [0.008488572112986432, 0.008488572112986432], "optimization_time": 1.284379243850708} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["0100001", "1011001", "1011010", "0100010", "1001110", "10011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7156773656062848) q[0];
h q[1];
h q[2];
ry(-0.23482850507323028) q[2];
h q[3];
ry(-0.22459108126548002) q[3];
cx q[1], q[3];
ry(0.22459108126548002) q[3];
cx q[1], q[3];
ry(1.33031367503011) q[1];
cx q[1], q[0];
ry(0.7156773656062848) q[0];
cx q[1], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IIIIIZZ",
"IIIZIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666674,
0.16666666666666666,
0,
0,
0,
0
] | 0.972441 | [
-0.44918216253096005,
1.33031367503011,
-1.4313547312125696,
-1.1924845545518266,
0.981959366348016,
0.15615021251169828,
-0.6881236629164387,
0.4513251880832956,
-0.5566164930201654,
-0.34396523126916584,
-0.301798087841898,
0.1400652240192263,
-0.46965701014646055,
0.5422302154780612,
... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 15 |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -4.996464150018096, "params": null, "bitstrings": ["010011", "010110"], "total_optimization_steps": 25, "probabilities": [0.0663480739860024, 0.9303666439722974], "optimization_time": 20.853246450424194} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-0.5,
-1,
-1
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
ec7f14adb1b1c692b11deac79fc27623 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [165, 167], "expectation_value": -88.05347497113543, "params": [[[1.2936, 0.2826], [0.0205, 0.2765], [1.3028, 1.2347000000000001], [0.1773, 1.2588000000000001], [0.4983, 0.7434000000000001], [-0.1015, 1.2998], [-0.2076, 0.3788], [0.40740000000000004, 1.2927], [0.0063, 1.2934], [-1.2446000000000002, 1.2791000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(7)) + 9.0 * Z(1) + 8.5 * Z(2) + 2.0 * Z(5) + 17.0 * Z(4) + 3.5 * Z(3) + 15.5 * Z(7) + 16.5 * Z(8) + 7.0 * ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1101011000"], "largest_eigenvalue": 176.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.029786302789786334) q[0];
rz(-0.06708202634411498) q[0];
rx(0.03151314706015296) q[1];
rz(-0.1812720641724986) q[1];
rx(3.16732743826075) q[2];
rz(-0.19257282853180163) q[2];
rx(0.2602078296558154) q[3];
rz(0.5978387022028875) q[3];
rx(2.9608311383963555) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIIIZZIII",
"IIZIIIIIZI",
"IZIIIZIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ",
"IIIZIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
9,
8.5,
2,
17,
3.5,
15.5,
16.5,
7,
-12,
-10.5
] | 0.9726 | [
0.029786302789786334,
0.06663114088999829,
0.03151314706015296,
-0.1812720641724986,
3.16732743826075,
-0.19257282853180163,
0.2602078296558154,
0.5978387022028875,
2.9608311383963555,
-0.37245070650441453,
-0.18918786062790405,
0.5994637799692099,
-0.019118408710269708,
-0.319320284340401... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -102.5,
"target_ratio": 0.97,
"target_value": -99.425
} | 13 |
e1c0114d123570cf4f69a41c3d9da440 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4},... | {"states": [1760, 1790], "expectation_value": -1.4549309403854827, "params": [[0.07010000000000001], [-0.0625]], "bitstrings": ["00100011111", "00100000001"], "total_optimization_steps": 10, "probabilities": [0.000886236612793919, 0.0009316569555056029], "optimization_time": 2.2380499839782715} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(9)) + -1... | 5 | 11 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00100000001"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8413989882708021) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.8413989882708021) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[4];
rz(-0.21941805742855172) q[4];
cx q[1], q[4];
cx q[1], q[3];
rz(0.01487... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
c... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIZZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZII... | [
-2,
-2,
-1.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2,
-2,
-2,
1,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.582829 | [
-0.8413989882708021,
-1.0001776979101,
-0.21941805742855172,
0.014873597722075088,
-0.3830686510329804,
-1.2238596273410554,
-1.0428794347152748
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 197 |
6c28370939b7d49c2e67d552301e0191 | 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": 11, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 4}, {"weight": 12, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -7.030566850170597, "params": [[0.0459], [-0.051000000000000004]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0034344846083944904, 0.00371180255305354], "optimization_time": 2.099984645843506} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 5.5 * Z(1) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.18259604204203672) q[0];
rz(0.08060485615533963) q[0];
rx(0.6891006369177235) q[1];
rz(0.00017102855127421046) q[1];
rx(0.7562714054488282) q[2];
rz(-0.3404311286624009) q[2];
rx(0.6891006369177235) q[3];
rz(0.02128917638359139) q[3];
rx(0.06667048808959333) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"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,
5.5,
6.5,
10.5,
19.5,
15.5,
4.5,
18.5,
8.5,
1.5
] | 0.971363 | [
-0.18259604204203672,
0.2641521549594251,
0.6891006369177235,
0.00017102855127421046,
0.7562714054488282,
-0.3404311286624009,
0.02128917638359139,
0.06667048808959333,
0.37381510054334915,
0.8766187768053243,
-0.20332760614996834,
0.6899310805468107,
0.18365228317182203,
0.151142600961424... | {
"n_parameters": 99,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 13 |
34fec832591d56601cbd146a15fec9ed | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -23.792319446139665, "params": null, "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.17065210880582868, 0.1899243564462108], "optimization_time": 162.18250250816345} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 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(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | null | {"matching": "maximum", "extra": "{\"n\": 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(-3.4097) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10,
17,
20,
13.5,
5,
5,
6
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
b3537f2efdfe83419ab29e4b33e9908d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1458, 1362], "expectation_value": -74.4905803253744, "params": [[[1.3073000000000001, -0.0032, 0.0047, 0.008], [0.0016, -0.0067, 0.006, 0.01], [1.2984, 0.0066, 0.0046, -0.0001], [-0.014400000000000001, -0.0261, 0.4641, 0.0055000000000000005], [0.8441000000000001, -0.0033, 0.0077, -0.00030000000000000003], [... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + -5.5 * Z(1) + -1.5 * Z(0) + 10.0 * Z(2) + 3.0 * Z(3) + 8.5 * Z(4) + 2.5 * Z(5) + 10.0 * Z(6) + -3.0 * Z(7) + 1.5 * Z(8) + 0.0 * Z(9) + -12.5 * Z... | 12 | 11 | 2 | {"smallest_eigenvalues": [-101.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["01010101101"], "largest_eigenvalue": 112.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.7793338853393215) q[0];
rz(0.028791037644935888) q[0];
ry(-0.01544858035962133) q[1];
rz(-0.5422797472861863) q[1];
cz q[1], q[0];
ry(1.52636998512805) q[0];
rz(0.09236621337796443) q[0];
ry(-0.10603854778161778) q[1];
ry(1.716741366471937) q[2];
rz(0.142833793626... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIZIIIIIZII",
"IZZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-5.5,
-1.5,
10,
3,
8.5,
2.5,
10,
-3,
1.5,
0,
-12.5
] | 0.976568 | [
1.7793338853393215,
0.028791037644935888,
-0.01544858035962133,
-0.5422797472861863,
1.716741366471937,
0.14283379362668358,
-0.0429804523987072,
0.5029440666671319,
1.415137800475429,
0.06367862523842648,
0.03227602419479738,
0.2473957448341332,
1.4359506396993464,
-0.2008353559495781,
... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -101,
"target_ratio": 0.97,
"target_value": -97.97
} | 59 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [44, 42], "expectation_value": -3.249898543594036, "params": null, "bitstrings": ["010011", "010101"], "total_optimization_steps": 27, "probabilities": [1.7118399797761745e-05, 0.9999492882952955], "optimization_time": 19.484734058380127} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
2398b0b8852b758caa629303970b584b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [830, 494], "expectation_value": -0.23100532093602122, "params": [[0.0747, 0.065, -0.02], [-0.08510000000000001, -0.07690000000000001, -0.029300000000000003]], "bitstrings": ["0011000001", "1000010001"], "total_optimization_steps": 10, "probabilities": [0.001609490961641525, 0.0016094909616415263], "optimiza... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 10 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIZIIZIIZ",
"IIZIIIZIIZ",
"IIZZIIIIIZ",
"IIZZIIZIII",
"IIZZIIZIIZ",
"IIIIIZIIZI"... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
408df67ce1443f9f30a22680ef4cc499 | 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": [1619, 1107], "expectation_value": -92.09025807853209, "params": [2.698, 0.007, 1.4745000000000001, 0.0057, 0.0029000000000000002, 0.0073, -0.0018000000000000002, 0.0077, 2.7094, 0.00030000000000000003, 0.8128000000000001, 0.005200000000000001, 2.7003, 0.0023, 0.0021000000000000003, 0.0095, -0.00240000000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + 7.5 * (Z(2) @ Z(10)) + 11.0 * Z(1) + 7.0 * Z(0) + 8.0 * Z(4) + -3.0 * Z(3) + 15.0 * Z(6) + 2.5 * Z(5) + -4.0 * Z(7) + 14.... | 18 | 11 | 1 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.0, "smallest_bitstrings": ["01110101100"], "largest_eigenvalue": 141.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.024409916647467) q[0];
rz(0.6789563379538706) q[0];
rx(0.48450078144833136) q[1];
rz(0.28168618298293063) q[1];
rx(0.06942423602235202) q[2];
rz(-0.018336828218821113) q[2];
rx(0.3239759545748556) q[3];
rz(-0.13981388878165102) q[3];
rx(2.910051150591662) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIZIIIIZI",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIZIIIIIIZ",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
11,
7,
8,
-3,
15,
2.5,
-4,
14.5,
8,
-7,
-14
] | 0.972267 | [
3.2587753905321195,
0.5506581410520354,
0.48450078144833136,
0.28168618298293063,
0.06942423602235202,
-0.018336828218821113,
0.3239759545748556,
-0.13981388878165102,
2.910051150591662,
0.05568485992380269,
0.09860788760403975,
-0.12117017434509902,
3.159930518938873,
-0.2039593236227524,... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -112,
"target_ratio": 0.97,
"target_value": -108.64
} | 11 |
75472eb4643e3cccfa94243d4fe970ae | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [12, 140], "expectation_value": -5.904714064163741, "params": [0.2446, -0.0023, 0.2371, -0.002, -0.0039000000000000003, 0.1885, -0.0008, 0.1879, 0.0004, 0.18230000000000002, 0.0059, 0.1837, -0.0122, 0.15990000000000001, -0.0152, 0.16060000000000002, 0.2964, -0.0001, 0.2958, 0.003, 0.3029, -0.0003000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110011", "01100111", "11011001", "11111000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.2731471223455431) q[0];
rz(-0.1182387712950721) q[0];
rx(0.1573940806628747) q[1];
rz(0.3998010425128929) q[1];
cx q[1], q[0];
rz(0.1458043038040946) q[0];
cx q[1], q[0];
rz(1.6144830451331567) q[0];
ry(0.8175373355404578) q[0];
rz(-1.4504072256107883) q[0];
rx(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIZI",
"IIIIZZII",
"IZIIZIII",
"IIZIIIZI",
"IIZIZIII",
"IIIZIZII",
"IZIZIIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"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,
-2,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-0.5,
-1
] | 0.972122 | [
0.27314712234554317,
0.027565532509022855,
0.1573940806628747,
0.3998010425128929,
-0.03983048525085349,
0.0608681384473297,
0.01125275420688044,
0.08958943146519159,
0.5682270204389641,
0.005595119228014589,
0.40956286822865523,
-0.014500401168744223,
0.16867596439479293,
-0.1393456206882... | {
"n_parameters": 145,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 8 |
02ad922247dded2921d5944d6e95a575 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, ... | {"states": [1945, 1949], "expectation_value": -3.00169043744554, "params": [0.0345, 0.017, 0.783, 0.7845000000000001, 0.7774000000000001, 0.7924, 0.7526, 0.6912, 0.6864, 0.6575000000000001, -0.0369, -0.0029000000000000002, -0.0026000000000000003, 0.0005, 0.7875000000000001, 0.7827000000000001, 0.7418, 0.7999, 0.4007, 0... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 14 | 12 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.17505626242573932) q[0];
rz(pi/2) q[0];
ry(1.014991777481755) q[1];
ry(0.8288387336672143) q[2];
ry(0.7886063331302766) q[3];
ry(0.5261651795130162) q[4];
ry(-0.3016524862646473) q[5];
ry(-0.01581577408851799) q[6];
ry(0.7124574576379241) q[7];
ry(0.7217566940097... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
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,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,... | 0.974248 | [
-0.17505626242573932,
1.014991777481755,
0.8288387336672143,
0.7886063331302766,
0.5261651795130162,
-0.3016524862646473,
-0.01581577408851799,
0.7124574576379241,
0.7217566940097064,
0.8613934710769899,
0.10765670784841039,
0.555987916588307,
0.1868015883373617,
-0.41457897236742214,
-0... | {
"n_parameters": 95,
"n_qubits": 12,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 19 |
c5d57071b024d109c38c43678d62eaf1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [60, 56], "expectation_value": -4.472484157074712, "params": [[0.12660000000000002, 0.0235], [-0.1491, -0.1423]], "bitstrings": ["000011", "000111"], "total_optimization_steps": 20, "probabilities": [0.03754263493993083, 0.0444623646690743], "optimization_time": 2.82163667678833} | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
71373317fc8a53f2c08224c79968104e | 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": [1320, 1322], "expectation_value": -53.8106868653289, "params": [[[1.0347, 0.1418], [-0.0391, 0.1811], [1.568, 1.5679], [-1.2915, 1.5678], [-1.5689000000000002, 1.568], [1.568, 1.5726], [1.5681, 1.5731000000000002], [1.5676, 1.5733000000000001], [1.4224, 1.5676], [0.9313, 0.0199], [1.9659000000000002, -0.059... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(5)) + 6.0 * Z(0) + -3.5 * Z(1) + 3.0 * Z(3) + 13.5 * Z(2) + 8.0 * Z(5) + -5.5 * Z(4... | 15 | 11 | 1 | {"smallest_eigenvalues": [-116.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.5, "smallest_bitstrings": ["01011010101"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(pi/2) q[0];
ry(-1.5707963418734407) q[1];
ry(1.5707963197814123) q[2];
ry(-1.570796339480478) q[3];
ry(-1.570796313426065) q[4];
ry(1.5707963197814123) q[5];
ry(1.5707963148102466) q[6];
ry(pi/2) q[7];
ry(1.5707963211231233) q[8];
ry(1.5707963489167533) q[9];
ry(1.5... | 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] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IIIIZIIIIIZ",
"IIIZZIIIIII",
"IZIIIIIZIII",
"IIZIIIIIZII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZIIIIZIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
6,
-3.5,
3,
13.5,
8,
-5.5,
14,
2,
9.5,
11,
-5
] | 0.785408 | [
1.5707963259933237,
-1.5707963418734407,
1.5707963197814123,
-1.570796339480478,
-1.570796313426065,
1.5707963148102466,
1.570796326134196,
1.5707963211231233,
1.5707963489167533,
1.5707963402248593,
-1.57079633268609,
-1.5707963344282274,
1.5707963086376306,
1.5707963241597338,
1.570796... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -116.5,
"target_ratio": 0.97,
"target_value": -113.005
} | 455 |
2be9598749a54d45ae6c968f3644c50e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [0, 1], "expectation_value": -1.5229101347272724, "params": [[[0.003, 0.3507], [0.0024000000000000002, 0.4112], [0.0029000000000000002, 0.5555], [0.8064, -0.0023]], [[0.0045000000000000005, 0.0034000000000000002], [0.0033, 0.0037], [0.0029000000000000002, 0.0014], [0.8103, 0.0047]]], "bitstrings": ["1111", "... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4735206763607496) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01182672083452973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.01182672083452973) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4735206763607496) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.25,
0.5,
0.25
] | 0.731547 | [
0.4735206763607496,
-0.01182672083452973,
-0.00498214199769815,
-1.582999198203383,
-1.7345000367827936,
1.438980752288773
] | {
"n_parameters": 6,
"n_qubits": 4,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 193 |
1957966661632482507 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3], [8, 3], [2, 5], [1, 7], [4, 7], [0, 6]]} | {"states": [469, 465], "expectation_value": -1.8999314861022185, "params": [1.4000000000000001, -0.1315, 0.9613, 0.0068000000000000005, 1.4026, -0.1057, 1.3367, 0.0006000000000000001, 1.3986, -0.1515, 1.3368, 0.0097, 0.9414, 0.5915, 0.5981000000000001, 0.0064, 1.3997000000000002, -0.1063, 1.3351, 0.0021000000000000003,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(6) | 5 | 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": ["111010001", "000101110", "010111100", "001100110", "011110100", "110011001", "101000011", "100001011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.9686626699543897) q[0];
rz(-0.23887213863938683) q[0];
rx(1.710793816747194) q[1];
rz(0.04443659147127921) q[1];
rx(1.9985137577057732) q[2];
rz(0.049482852586253845) q[2];
rx(0.09533607717475752) q[3];
rz(0.8897954835252966) q[3];
rx(1.8842201350982668) 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": []} | [
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIZIIZII",
"IZIIIIIZI",
"IZIIZIIII",
"IIZIIIIIZ",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.979511 | [
1.9686626699543897,
-0.2592236005973668,
1.710793816747194,
0.05253131692053117,
1.998513757705773,
0.10164646327133284,
0.09533607717475752,
0.6362511537891086,
1.8842201350982668,
-0.1169452851292457,
0.02497706697203063,
-0.333000805436109,
0.3432467881931672,
0.7386619984536055,
0.16... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 43 |
4be66989cdca0046acb3f5397a7bad21 | 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": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [376, 344], "expectation_value": -3.507073942424514, "params": [0.3952, 0.39630000000000004, -0.010700000000000001, -0.010400000000000001, 0.4, 0.4057, 0.3919, 0.3922, 0.40040000000000003, 0.3997, 0.39230000000000004, 0.3911, 0.39030000000000004, 0.3934, 0.06570000000000001, 0.0649, 0.0506, 0.057300000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(2) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100010", "011100110", "010001111", "010100111", "110001011", "110100011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.33077347030723775) q[0];
rz(-0.070667438831802) q[0];
ry(0.3585892411625482) q[1];
ry(0.9109736907480216) q[2];
ry(-0.31937914509794596) q[3];
ry(0.8715301617642819) q[4];
ry(0.573627199269098) q[5];
ry(0.2983414504123037) q[6];
ry(-0.11102707700919374) q[7];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIZIII",
"IZIIIIZII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIZIIII"
] | [
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,
-0.5,
-0.5,
-1,
-1,
-0.5,
-1,
-1,
0
] | 0.981836 | [
0.33077347030723775,
0.3585892411625482,
0.9109736907480216,
-0.31937914509794596,
0.8715301617642819,
0.573627199269098,
0.2983414504123037,
-0.11102707700919374,
0.1093997939152751,
-0.141334877663604,
-0.5272662144171042,
-0.11167870679474903,
0.02752581495500204,
0.12405373767794498,
... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 22 |
01c509cf41fe904ef36f9c73fa58f4df | 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": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [116, 117], "expectation_value": -3.024967987976108, "params": [0.9125000000000001, 0.7145, 1.6019, 0.0038, 1.6069, 0.004, 1.6001, -0.0036000000000000003, 0.48050000000000004, -0.0024000000000000002, 1.6041, -0.00030000000000000003, 0.0281, -0.0004, 1.5986, 0.0011, 0.15760000000000002, 1.5769, 1.567100000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(2) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(7) | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00101010", "10001010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6067730635277808) q[0];
ry(0.0068978171400194965) q[0];
rz(-2.165295187823308) q[0];
rz(-0.9320305873596415) q[1];
ry(2.9546423754659843) q[1];
rz(1.5962878589443843) q[1];
rz(1.94887746650212) q[2];
ry(0.10017209095800164) q[2];
rz(-2.4547303306903094) q[2];
rz(-2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIZI",
"IZIIIZII",
"IZIIIIZI",
"IIIZZIII",
"IIZZIIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
-0.5,
-1.5,
0,
-0.5,
0
] | 0.977898 | [
0.0034511417619457353,
0.07195304533925116,
1.2739833284948667,
-0.123054125877101,
0.005011551244307841,
0.3973837165633978,
1.905775237438528,
0.06934632738707407,
-0.07347402081215618,
0.21084071151892464,
0.02816020830904334,
-0.5182778496141923,
1.303011955708514,
0.0862986415836879,
... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 24 |
f647d4d4d5fd1a411c386e9fbbe2bdeb | 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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [206, 205], "expectation_value": -12.010947272137603, "params": [[0.038200000000000005], [-0.0761]], "bitstrings": ["100110001", "100110010"], "total_optimization_steps": 10, "probabilities": [0.004284543780164224, 0.004475838238438293], "optimization_time": 1.9889109134674072} | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * (Z(5) @ Z(8)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(8)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(5)) + 1.5 * Z(0) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100110010"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.03401972284255756) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.03401972284255756) q[1];
cx q[0], q[1];
rz(-1.6968257201155463) q[0];
rx(-1.5671865727085195) q[0];
cx q[2], q[1];
rz(0.03401972284255756) q[1];
cx q[2], q[1];
h q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIZI",
"ZIIIIIZII",
"ZZIIIIIII",
"ZIIZIIIII",
"IZIZIIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
1.5,
11,
18.5,
2.5,
17.5,
7.5,
18,
-0.5,
24
] | 0.97278 | [
0.03401972284255756,
-1.6968257201155468,
1.7438943425398405,
1.4423457900248466,
-1.750063595960755,
1.3349818682607992,
-1.7588246269998304,
1.738062753235556,
-0.9573541483188708,
1.7150633918326148,
-1.5671865727085195
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 43 |
bf94e6406551047eb54e98577948dda2 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [87, 7], "expectation_value": -9.660205631297305, "params": null, "bitstrings": ["10101000", "11111000"], "total_optimization_steps": 67, "probabilities": [0.16338252288092867, 0.2774890069729834], "optimization_time": 77.74092817306519} | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (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(1) + -2.0 * Z(0) + -2.5 * Z(3) + -2.0 * Z... | 5 | 8 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8209783381151133) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.42611973320836577) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.18222129726085273) q[2];
cx q[1], q[2];
rz(0.14707287566983435) q[3];
cx q[0], q[3];... | null | {"node": 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];\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... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2,
-3,
1,
0.5,
0.5,
-2.5,
0.5,
-2.5,
-2,
-1.5,
0.5,
-1.5,
1.5,
-2,
-2.5,
-2,
1.5,
0.5,
0.5,
0.5
] | 0.573288 | [
0.8209783381151133,
0.42611973320836577,
0.14707287566983435,
0.18222129726085273,
0.6697450513039219,
1.075441192615211,
0.3091718356189598,
0.9747450994580911
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 184 |
cf866b0685f0f2b92fc41e952765f334 | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [19, 23], "expectation_value": -6.035103417953422, "params": [[[0.0051, 1.4693], [0.00030000000000000003, 1.7471], [-1.0445, -0.0002], [0.005200000000000001, 1.6333], [-0.5874, 0.5896], [1.0448, -0.0018000000000000002], [1.0486, 0.0032]], [[-0.003, 1.4622000000000002], [0.0011, 1.1911], [-1.0367, 0.0016], [0... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4389876603721047) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.3936411233317491) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.4389876603721047) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.4389876603721047) q[2];
cx q[3], q[2];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIIZZI",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IIZIZII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.75,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
0.25,
-0.5,
1
] | 0.619308 | [
0.4389876603721047,
0.3936411233317491,
-0.9640592261572137,
0.3473169744588019,
0.9763395609882711,
-0.671208939863871,
-0.6920954321912673,
0.9887089718505631
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 188 |
e72ecea678989eec924d7e1b79176beb | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [512, 511], "expectation_value": -0.2523417275204486, "params": [[-0.031100000000000003], [0.0245]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0010915540420537218, 0.001095157978500636], "optimization_time": 3.9936604499816895} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.7224572709532883) q[0];
h q[0];
rx(1.570796247276... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZZIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIZIIIZII",
"IZIIIIZIII"... | [
-0.75,
-1.25,
-0.25,
-0.5,
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
3.75,
-0.5,
-0.5,
-1.25,
-1.25,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-0.75,
-1.75,
-0.25,
-1,
-0.5,
1.25,
-0.25,
0,
-2.5,
0.75,
0.5,
0,
-1.25,
0.5,
1
] | 0.126582 | [
0.7224572709532883,
1.5707962472760184,
-0.7412410420022001,
-0.26019260835917546,
-0.2768573823525529,
0.12656278129947215,
0.12651672998882602,
0.8502415966308584,
1.57079623009043,
0.053185711379474594,
-0.19994919917546483,
1.5707962731358462,
-1.173977510197994e-7,
-0.0897681624066922... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 376 |
596dc591e846e98017ad5da8b3c9d903 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [113, 51], "expectation_value": -4.9998989913137954, "params": null, "bitstrings": ["0001110", "1001100"], "total_optimization_steps": 33, "probabilities": [1.635006125786446e-05, 0.999930372142706], "optimization_time": 33.42159056663513} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.5 * Z(3) + -0.5 * Z(1) + -1.5 * Z(4) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.1346745737184226e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-1.1346745737184226e-08) q[3];
cx q[2], q[3];
rz(0.2526803351014868) q[2];
rx(-1.5707963122896773) q[2];
cx q[3], q[1];
rz(-1.1346745737184226e-08) q[1];
cx... | 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",
"IZIIIIZ",
"IIIZZII",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
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,
-0.5,
-1.5,
-0.5
] | 0.5125 | [
-1.1346745737184226e-8,
0.25268033510148713,
-1.5707962675335227,
-1.570796312289677
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 131 |
9e8a866d2c0011b6946d4c64e758f31c | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [246, 182], "expectation_value": -2.053300941043083, "params": [0.5957, 0.033100000000000004, 0.31120000000000003, -0.12510000000000002, 0.5989, -0.0631, 0.597, -0.0368, 0.0985, 0.24530000000000002, 0.6005, 0.0717, 0.5673, 0.1164, 0.0046, 0.4053, 0.5929, -0.038200000000000005, 0.3068, -0.1385, 0.5954, -0.085... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["01001001", "10000011"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IZZIIIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZII",
"IIIZZIII",
"IZIIZIII",
"IZIZIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.125,
0.125,
0.125,
0.125,
-0.25,
0,
0,
-0.75
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
7e286c90f17ff7394c4075cb20f3e88f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 13, "source": 0, "tar... | {"states": [422, 244], "expectation_value": -23.94248244906612, "params": [[0.025900000000000003, 0.0041, -0.0012000000000000001], [-0.0668, -0.06570000000000001, -0.0531]], "bitstrings": ["001011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.007339786503520685, 0.009197306795629938], "optimiza... | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 15.5 * Z(3) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.050938511907527545) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.050938511907527545) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.050938511907527545) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.050938511907527545) q[2];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15.5,
9.5,
21.5,
14.5,
8.5,
2.5,
11.5,
5,
2.5
] | 0.977207 | [
0.050938511907527545,
1.5110427598651417,
-1.3453737194952657,
1.6793906775993144,
1.648585338732644,
1.5483490016537944,
-1.7084981758957947,
1.5072914727695665,
-0.9400283298899536,
-1.5223856545642962
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 51 |
502ac3914841f8a39fec13c14696a599 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1848, 1850], "expectation_value": -1.6661108102444622, "params": [0.5992000000000001, 0.6007, 0.604, 0.6008, 0.5993, 0.5966, 0.12290000000000001, 0.1247, 0.0942, 0.0954, 0.5765, 0.5735, 0.5939, 0.5839, 0.5954, 0.5944, 0.17250000000000001, 0.17320000000000002, 0.4354, 0.4612, 0.28200000000000003, 0.2766, 0.5... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.375, "smallest_bitstrings": ["00011011000", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.8684983265511045) q[0];
rz(pi/2) q[0];
ry(0.255042687629887) q[1];
ry(0.6270235032340649) q[2];
ry(0.10369345130738788) q[3];
ry(-0.1107466207667114) q[4];
ry(0.7253557315318361) q[5];
ry(0.6732577738856227) q[6];
ry(0.9500007067136838) q[7];
ry(-0.201047820612152... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZZIIII",
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZZIIII... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0... | 0.972658 | [
0.8684983265511045,
0.255042687629887,
0.6270235032340649,
0.10369345130738788,
-0.1107466207667114,
0.7253557315318361,
0.6732577738856227,
0.9500007067136838,
-0.20104782061215257,
0.44742575901306153,
0.09398829212745496,
0.2719687806615443,
-0.017098147540366607,
0.8290958472774026,
... | {
"n_parameters": 88,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 49 |
6243731250414144704 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 3], [0, 2, 4], [0, 1]]} | {"states": [21, 17], "expectation_value": -1.3855680686388903, "params": [2.7007000000000003, 0.003, 0.4698, 0.0027, 1.4841, 0.0081, 0.47490000000000004, 0.0039000000000000003, 2.7070000000000003, 0.0034000000000000002, 0.006500000000000001, 0.0037, 0.009600000000000001, 0.0014], "bitstrings": ["01010", "01110"], "tota... | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666663 * Z(4) + 0.0 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666666 * Z(2) + 0.0 * Z(1) | 3 | 5 | 1 | {"smallest_eigenvalues": [-1.8333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01110"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(2.9967125642711365) q[0];
rz(-0.21176867601260607) q[0];
rx(-0.1517366386195004) q[1];
rz(0.21268815714405775) q[1];
rx(0.3886610654797414) q[2];
rz(-0.9981761664687019) q[2];
rx(-0.14952347520868356) q[3];
rz(-0.4154428575830664) q[3];
rx(3.091149937633034) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"ZZIII",
"ZIIIZ",
"IZIIZ",
"ZIZII",
"IIZIZ",
"IIIZZ",
"ZIIII",
"IZIII",
"IIIIZ",
"IIZII",
"IIIZI"
] | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666663,
0,
0.16666666666666674,
0.16666666666666666,
0
] | 0.977018 | [
2.9967125642711365,
-0.12786915603156224,
-0.15173663861950037,
0.35658540718183585,
0.38866106547974144,
-0.5385778948831412,
-0.14952347520868356,
-0.12528318352130513,
3.091149937633034,
-0.19817065993757244,
-0.5803193481235205,
-0.9191965431711213,
-0.28779450007555785,
-0.16779903996... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 11 |
4700601e722e5f0a0c40acc2968ffc97 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [21, 49], "expectation_value": -0.21375419247246785, "params": [[0.0809, 0.07830000000000001], [-0.0879, -0.0838]], "bitstrings": ["101010", "001110"], "total_optimization_steps": 10, "probabilities": [0.020790756461166487, 0.020790756461166498], "optimization_time": 3.4376630783081055} | 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)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0,
0,
-0.25,
-0.75,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
b06e27961007262f3a2ecbf8aba20c59 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [746, 1002], "expectation_value": -3.9005846220856366, "params": [[[-0.0031000000000000003, 0.007500000000000001, 0.0001, 0.0043], [1.3812, -0.0028, 0.8841, 0.0008], [1.6015000000000001, 0.0066, 0.0074, 0.0059], [0.3845, -0.0114, 1.5821, 0.006900000000000001], [1.6088, 0.0059, 0.0055000000000000005, 0.0094],... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 12 | 11 | 1 | {"smallest_eigenvalues": [-4.9375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9375, "smallest_bitstrings": ["10000010101"], "largest_eigenvalue": 7.0625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.8165661135111266) q[0];
rz(1.6822873879029663) q[0];
rx(-0.1761158400586234) q[1];
rz(1.1072219666517356) q[1];
rx(2.9821919954623435) q[2];
rz(1.5640894193406867) q[2];
rx(-0.22897729736989372) q[3];
rz(1.6223776513277102) q[3];
rx(2.0145625558052633) q[4];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIZIIZIZ",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIIZZZII",
"IIIIIZIZZ... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125,
0.125,
0.125,
0.125,
0.... | 0.975753 | [
2.8165661135111266,
0.1114910611080694,
-0.17611584005862338,
-0.4635743601431611,
2.9821919954623435,
-0.006706907454209848,
-0.22897729736989372,
0.05158132453281461,
2.0145625558052633,
0.08563247619159585,
1.439433386232278,
0.09948764002142826,
3.003695837809674,
0.390496713810319,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
6771b778b0f6a5f528500d957ca14d09 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [697, 681], "expectation_value": -46.04671758826744, "params": [0.7039000000000001, 0.052700000000000004, 0.49500000000000005, 0.1663, 0.6958000000000001, 0.005200000000000001, -0.016900000000000002, 0.38580000000000003, 0.7041000000000001, 0.044000000000000004, 0.5273, 0.14020000000000002, 0.704000000000000... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(9) @ Z(0)) + 6.0 * (Z(9) @ Z(8)) + 22.0 * Z(0) + 21.0 * Z(2) + 2.5 * ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["0101010110"], "largest_eigenvalue": 164.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.71527956322697) q[0];
ry(0.18241547377065442) q[1];
ry(1.2730116026119673) q[2];
ry(0.05040298534722133) q[3];
ry(0.8619046078111914) q[4];
ry(0.22494226048934834) q[5];
ry(0.8767941422670104) q[6];
ry(-0.06785988006324416) q[7];
ry(0.7892404449258545) 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, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
22,
21,
2.5,
20,
13.5,
-3.5,
3,
0.5,
1,
6
] | 0.970518 | [
0.71527956322697,
0.18241547377065442,
1.2730116026119673,
0.05040298534722133,
0.8619046078111914,
0.22494226048934834,
0.8767941422670104,
-0.06785988006324416,
0.7892404449258545,
0.16834630794661493,
0.032333133843519296,
0.02080444310798996,
0.04428542828836836,
0.04813998150614826,
... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 88 |
bd4d5e09460e489b3a7687d2fb06fc0c | 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": 5}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}]} | {"states": [56, 24], "expectation_value": -2.583639541120861, "params": [[[0.30670000000000003, -0.10890000000000001, 0.0088, 0.0053], [0.307, -0.1405, 0.3003, -0.060000000000000005], [0.2918, 0.1531, 0.2973, 0.1764], [0.3013, -0.14170000000000002, -0.10700000000000001, -0.1337], [-0.07730000000000001, 0.0785, -0.07590... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) | 11 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["100111", "011011", "010111"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.101713997269887) q[0];
rz(-pi) q[0];
h q[1];
ry(1.3824691322518885) q[1];
ry(-0.07133908291424587) q[2];
rz(-pi) q[2];
ry(-0.07133908291424587) q[3];
rz(-pi) q[3];
h q[4];
ry(1.3727000906326838) q[4];
cx q[4], q[3];
ry(0.07548237674769742) q[3];
cx q[4], q[3];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIIIZ",
"ZIIZII",
"IIZIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-1
] | 0.996181 | [
-1.4239748671329533,
1.3727000906326838,
1.3824691322518885,
-0.15096475349539484,
0.2968970764462026,
0.07546821301355022,
0.12089166435976527,
0.055497320060175215,
-0.023875771095612494,
0.007170258760450595,
0.037450392513724055
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
e1e31cd8da97b1296222838354d79204 | 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": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [56, 248], "expectation_value": -0.10165074762430334, "params": [[0.0224], [-0.030500000000000003]], "bitstrings": ["11000111", "00000111"], "total_optimization_steps": 10, "probabilities": [0.004100076444032133, 0.004122373282001332], "optimization_time": 1.7655365467071533} | -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)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.021674064005247) q[0];
cx q[1], q[0];
rz(-0.9568489535979356) q[0];
rx(-1.4852101733885612) q[0];
rz(-0.9568489535979356) q[1];
rx(-1.4852101733885612) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.5077310367674133) q[2];
cx q[3], q[2];... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.718356 | [
-3.021674064005247,
-1.5077310367674133,
-0.9568489535979353,
-0.005397137007634806,
0.0015350176540887314,
-1.4852101733885614
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 160 |
8073241510245140419 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 3, 4, 6], [0, 1, 4], [0, 1, 2, 5], [0, 1, 6], [2, 3, 5, 6], [0, 2, 6], [1, 2, 6]]} | {"states": [124, 122], "expectation_value": -0.8359324848642478, "params": [[0.2565], [-0.24700000000000003]], "bitstrings": ["0000011", "0000101"], "total_optimization_steps": 30, "probabilities": [0.014639447306244524, 0.015228773781707365], "optimization_time": 2.619746685028076} | 0.5 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.25 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.1666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0010100", "0000101"], "largest_eigenvalue": 7.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(1.5612791866934213) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(-0.02691423759786341) q[1];
cx q[5], q[1];
cx q[4], q[1];
rz(0.022456418312706537) q[1];
cx q[4], q[1];
cx q[5], q[3];
rz(-0.02691423759786341) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IZZIIII",
"IZIIIZI",
"IIZIIZI",
"IZIZIII",
"IIZZIII",
"IIIZIZI",
"ZZIIIII",
"ZIZIIII",
"ZIIIIZI",
"ZIIZIII",
"IZIIIIZ",
"IIZIIIZ",
"IIIIIZZ",
"ZIIIIIZ",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"ZIIIZII",
"IIIIZIZ",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"III... | [
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.3333333333333333,
0.16666666666666666,
0.2... | 0.766878 | [
1.5612791866934213,
-0.02691423759786341,
0.022456418312706537,
0.5629446858416484,
0.08713037519011997,
-0.009203965311097378,
-0.024475306595419175,
0.17021431534224798,
1.5347113237723216,
1.3252653258797653,
1.168525559836145,
-0.8951833690618255
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 277 |
cd1b1834e6ae45ababe60f99d6c1d229 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "... | {"states": [4095, 4065], "expectation_value": -25.505714909169043, "params": [[[-0.0018000000000000002, 3.0991], [-0.0035, -0.0034000000000000002], [-0.0032, -0.0031000000000000003], [-0.0031000000000000003, -0.0031000000000000003], [-0.0026000000000000003, -0.0029000000000000002], [0.0022, -0.0027], [-0.0023, -0.002],... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(9)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["000000011110"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.07277853507215548) q[0];
ry(0.08627944170527145) q[1];
ry(-0.06554577857739606) q[2];
ry(-0.061036796418305936) q[3];
ry(-0.0320010246480393) q[4];
ry(0.05421582322861167) q[5];
ry(0.09295741330214279) q[6];
ry(-0.41162382311789303) q[7];
ry(-0.07455013733046441) ... | OPENQASM 3.0;
include "stdgates.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... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"ZIIIIIIIIZII",
"IIIIIIIIZZII",
"ZIIIIIIIZIII",
"IIIIIIIZIZII",
"ZIIIIIIZIIII",
"IIIIIIIZZ... | [
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-2.5,
-2.5,
0.5,
-2.5,
0.5,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
-2,
1,
-1,
1,
0.5,
0.5,
0.5,
0.5
] | 0.97141 | [
0.07277853507215548,
0.08627944170527145,
-0.06554577857739606,
-0.061036796418305936,
-0.0320010246480393,
0.05421582322861167,
0.09295741330214279,
-0.41162382311789303,
-0.07455013733046441,
0.04034102901988999,
3.1573036210483254,
0.001227014564182314,
0.03160384267537661,
-0.052660243... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 14 |
8784489057814397582 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[4, 5, 7, 8, 9], [0, 2, 3, 5, 6, 7, 9, 10, 11], [1, 2, 3, 5, 7], [11, 4, 7], [0, 1, 2, 3, 6, 9, 10, 11], [8, 1, 3, 6], [1, 3, 5, 6, 9, 10, 11], [8, 1, 11], [0, 1, 2, 4, 5, 8, 10], [2, 3, 5, 8, 9], [0, 2, 4, 5, 6, 8], [1, 10, 7], [2, 3, 4, 6, 7], [2, 3, 4,... | {"states": [2939, 2427], "expectation_value": -3.0518336703673477, "params": [1.6248, -0.0009000000000000001, 1.5086000000000002, 0.0027, 0.0028, 1.7392, 0.0028, 0.0043, 0.8654000000000001, -0.7552, 1.1500000000000001, 0.0037, 1.6732, -0.46830000000000005, 1.214, 0.004200000000000001, -0.0026000000000000003, -0.5339, 0... | 0.125 * (Z(4) @ Z(5)) + 0.11388888888888889 * (Z(7) @ Z(5)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.175 * (Z(8) @ Z(5)) + 0.125 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(7)) + 0.1376984126984127 * (Z(9) @ Z(5)) + 0.05 * (Z(9) @ Z(4)) + 0.06388888888888888 * (Z(9) @ Z(7)) + 0.1 * (Z(9) @ Z(8)) + 0.07103174603174603 * (Z(0) @... | 7 | 12 | 1 | {"smallest_eigenvalues": [-3.089285714285714], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.035714285714286, "smallest_bitstrings": ["011010000100"], "largest_eigenvalue": 13.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.5264806330411744) q[0];
rz(-0.10855660101983666) q[0];
rx(-0.13421912437973588) q[1];
rz(1.9083019004403412) q[1];
cx q[1], q[0];
rz(0.07838731930833834) q[0];
cx q[1], q[0];
rx(1.590133372094538) q[0];
rz(0.009289518909483933) q[0];
rx(-0.13421912437973585) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"IIIZZIIIIIII",
"IIZIIIZIIIII",
"IIZIIIIZIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIIIIZIIIIZ",
"IIIIIIIZIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIIIIIZIIZII",
"IIIIIIIZIZII",
"IIIIZIIII... | [
0.125,
0.11388888888888889,
0.26666666666666666,
0.175,
0.125,
0.05,
0.1376984126984127,
0.05,
0.06388888888888888,
0.1,
0.07103174603174603,
0.05714285714285714,
0.013888888888888888,
0.05714285714285714,
0.031746031746031744,
0.18888888888888888,
0.125,
0.11388888888888889,
0.1... | 0.979626 | [
1.5264806330411747,
-0.030169281711498182,
-0.13421912437973588,
1.9083019004403412,
0.6719267071741266,
-0.8357546701215485,
1.6628543370805822,
-0.42902276479243273,
0.07015419681114476,
-0.6505591760500771,
2.009130628699109,
-0.5525922621088367,
1.5268589677916133,
1.6398818886008553,
... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -3.089285714285714,
"target_ratio": 0.97,
"target_value": -2.9966071428571426
} | 1 |
8157718007631687867 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 6], [4, 7], [5, 6], [3, 5, 7], [0, 6], [1, 4], [8, 5, 7], [0, 8, 3], [8, 4], [1, 5, 7], [0, 1], [0, 4, 5], [0, 9, 2]]} | {"states": [748, 752], "expectation_value": -2.712475513055235, "params": [[[-0.0035, -1.133, 0.0032, 0.0043], [1.7939, -1.133, 0.0033, 0.0049], [1.5745, -0.0016, 1.5735000000000001, 0.006], [0.11810000000000001, 0.3574, -0.1228, 0.0089], [1.5698, -0.0029000000000000002, 1.5695000000000001, 0.0019], [1.5683, -0.0035, 1... | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(0... | 11 | 10 | 1 | {"smallest_eigenvalues": [-4.333333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000001, "smallest_bitstrings": ["0100001111"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.08188794906186081) q[0];
rz(-1.1681126533308357) q[0];
ry(3.115364815375045) q[1];
rz(-1.1681126533308357) q[1];
cx q[1], q[0];
ry(-0.15706248716718102) q[1];
rz(0.04454572682979191) q[1];
ry(1.6053132948918303) q[2];
rz(-0.08559001733333026) q[2];
ry(0.093132129... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZZII",
"IIIZIIZIII",
"IIIZIIIZII",
"IIZIIIZIII",
"IIZIIZIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIZIIIIIZI",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIIIIIIZZ",
"IZIIIIZIII",
"IZZIIIIIII"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
... | 0.973928 | [
-0.08188794906186081,
-1.1681126533308357,
3.115364815375045,
1.6053132948918303,
-0.08559001733333026,
0.09313212951299515,
0.38438324889268516,
1.6004689110456762,
0.04984854388538431,
0.9421981800891537,
0.006875521923328194,
-0.7084564730609186,
-0.23119033570596872,
-1.129373077977907... | {
"n_parameters": 33,
"n_qubits": 10,
"optimal_eigenvalue": -4.333333333333331,
"target_ratio": 0.97,
"target_value": -4.203333333333331
} | 35 |
1c9f0aa80e0354120d0d9a354ab113f1 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [90, 254], "expectation_value": -16.390664276525925, "params": null, "bitstrings": ["10100101", "00000001"], "total_optimization_steps": 100, "probabilities": [0.14548920289066197, 0.39346641917280684], "optimization_time": 166.63075065612793} | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + 1.5... | 5 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.03855666661110178) q[1];
h q[2];
ry(0.2677307257938226) q[2];
h q[3];
ry(0.25063243253677403) q[3];
h q[4];
h q[5];
cx q[5], q[2];
ry(-0.2677307257938226) q[2];
cx q[5], q[2];
cx q[2], q[3];
ry(-0.25063243253677403) q[3];
cx q[2], q[3];
cx q[2], q[... | null | {"node": 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(1.5708) q[5], 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] = mea... | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
-3,
-3,
0.5,
-3.5,
0.5,
-3,
-3.5,
0.5,
-3,
1.5,
-3.5,
0.5,
-3,
-2.5,
1.5,
1.5,
1.5,
-3,
-3,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971657 | [
0.5354614515876452,
0.5012648650735481,
-0.07711333322220355,
0.09512343386160421,
-0.17784540647028296,
1.9383875530744048,
-0.3900224980018612,
0.25716625659837133,
0.8700985159750708,
0.8250013057753991,
0.03997913392777849,
-0.14346728740037137,
1.5500043128553398,
-0.02787916009918097... | {
"n_parameters": 62,
"n_qubits": 8,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 124 |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [88, 105], "expectation_value": -0.5112158420820416, "params": [[-0.055, -0.06670000000000001, -0.064, -0.0776], [0.0565, 0.0717, 0.0697, 0.0753]], "bitstrings": ["0100111", "0010110"], "total_optimization_steps": 10, "probabilities": [0.014012458679448742, 0.017265463131471526], "optimization_time": 6.05585... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IIZIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZIZIIZI",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25
] | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
abebab5175d0d0d89bf916154d0e1360 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [44, 38], "expectation_value": -4.4999003248204605, "params": null, "bitstrings": ["010011", "011001"], "total_optimization_steps": 28, "probabilities": [1.7187519564590576e-05, 0.9999500716492443], "optimization_time": 23.634926080703735} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"ZIIIZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-1
] | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
-5064463662352024584 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 3, 5], [1, 6], [0, 2, 6], [2, 4]]} | {"states": [27, 114], "expectation_value": -0.0410215731732353, "params": [[-0.07590000000000001], [0.06860000000000001]], "bitstrings": ["1100100", "0001101"], "total_optimization_steps": 10, "probabilities": [0.008470497948242738, 0.008470497948242738], "optimization_time": 1.5443248748779297} | 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["0001101", "1100100"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.5065078665915713) q[0];
h q[1];
h q[2];
ry(0.6801298920632353) q[2];
h q[3];
ry(-0.37959704417248863) q[3];
h q[4];
ry(-0.30664027815423167) q[4];
h q[5];
cx q[5], q[4];
ry(0.30664027815423167) q[4];
cx q[5], q[4];
ry(-0.5445448240218246) q[4];
ry(1.5642693... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(x1) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(x1) q[3];
cx q[5], q... | null | {"circuits": [], "gradients": []} | [
"IZZIIII",
"IZIIIZI",
"IZIZIII",
"IIIZIZI",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"IIIIZIZ",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663
] | 0.974669 | [
-0.6132805563084633,
1.5642693963705254,
1.3602597841264705,
-1.0890896480436492,
-0.5676245558055724,
0.9608613470888456,
-0.2828406629662951,
0.4428258055190894,
0.1758927841425634,
-0.520821024262345,
1.0130157331831426,
-0.7591940883449773,
0.47428860641780457,
0.18771038720362018,
-... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 16 |
da1feb8c2bbead6f03a304fa040072c3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1170, 1426], "expectation_value": -75.27444832402584, "params": [[[0.5868, 0.0017000000000000001, 0.001, 0.0081], [-0.0032, 0.0172, 0.0102, 0.0079], [0.5982000000000001, 0.0074, 0.0047, 0.001], [0.0405, -0.07490000000000001, 0.4428, 0.0006000000000000001], [0.36150000000000004, -0.0256, 0.0049, -0.0327], [0... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(9)) + 20.0 * Z(2) + 5.5 * Z(0) + 3.0 * Z(1) + 8.0 * Z(4) + 7.5 * Z(3) + 13.0 * Z(6) ... | 12 | 11 | 4 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.5, "smallest_bitstrings": ["01001101101"], "largest_eigenvalue": 166.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.6787243568995525) q[0];
rz(0.1733357471000836) q[0];
ry(0.04396326750019135) q[1];
rz(-0.32165030868683475) q[1];
cz q[1], q[0];
ry(0.19925356903257907) q[0];
rz(0.4667340488753273) q[0];
ry(0.053159462824074744) q[1];
ry(1.0314776741291818) q[2];
rz(0.22475301489... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIZZIIIIII",
"IZIZIIIIIII",
"IIZIIIIZIII",
"IZZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IZIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
20,
5.5,
3,
8,
7.5,
13,
2,
6.5,
4,
-9.5,
-10.5
] | 0.974268 | [
0.6787243568995525,
0.1733357471000836,
0.04396326750019135,
-0.32165030868683475,
1.0314776741291818,
0.22475301489801033,
0.39589333772470664,
0.1877133706955724,
0.18958997553409845,
0.0800125218035088,
0.1798631629601837,
0.5856421987691659,
1.136583854199227,
-0.06571035042031233,
-... | {
"n_parameters": 110,
"n_qubits": 11,
"optimal_eigenvalue": -104.5,
"target_ratio": 0.97,
"target_value": -101.365
} | 90 |
3149612231183658205 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[1, 4, 6, 7, 8, 10, 12, 13], [4, 5, 7, 10, 11], [0, 1, 2, 3, 5, 6, 7, 8, 10, 12], [0, 2, 4, 5, 7, 12, 13], [1, 2, 4, 8, 9, 11, 12, 13], [0, 2, 3, 4, 6, 7, 8], [8, 3, 13], [0, 1, 2, 3, 4, 10, 11, 13], [1, 2, 3, 4, 5, 8, 9], [1, 5, 6, 7, 9], [1, 3, ... | {"states": [6027, 8075], "expectation_value": -2.1512945232056246, "params": [0.7073, 0.7133, 1.3414000000000001, 1.3434000000000001, 0.8165, 0.8116, 1.4023, 1.4046, 1.3572, 1.3571, 1.3766, 1.3696000000000002, 1.4120000000000001, 1.4156, 0.7113, 0.7023, 0.6726000000000001, 0.6758000000000001, 0.6752, 0.6682, 1.37160000... | 0.1123015873015873 * (Z(1) @ Z(4)) + 0.05277777777777778 * (Z(6) @ Z(4)) + 0.09007936507936508 * (Z(6) @ Z(1)) + 0.1503968253968254 * (Z(7) @ Z(4)) + 0.11388888888888889 * (Z(7) @ Z(1)) + 0.11388888888888889 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.07063492063492063 * (Z(8) @ Z(1)) + 0.0527777777777777... | 13 | 14 | 1 | {"smallest_eigenvalues": [-2.8821428571427696], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8599206349205, "smallest_bitstrings": ["10000001110100"], "largest_eigenvalue": 14.00000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.48807464841342396) q[0];
rz(0.18764052676635642) q[0];
ry(1.1961335891764486) q[1];
ry(2.025115537583523) q[2];
ry(1.7118914943379968) q[3];
ry(1.7163957773108087) q[4];
ry(1.3397221066111447) q[5];
ry(1.8369204919061086) q[6];
ry(0.0010423004199421049) q[7];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIIZI",
"IIIIIIIZIZIIII",
"IIIIIIIZIIIIZI",
"IIIIIIZIIZIIII",
"IIIIIIZIIIIIZI",
"IIIIIIZZIIIIII",
"IIIIIZIIIZIIII",
"IIIIIZIIIIIIZI",
"IIIIIZIZIIIIII",
"IIIIIZZIIIIIII",
"IIIZIIIIIZIIII",
"IIIZIIIIIIIIZI",
"IIIZIIIZIIIIII",
"IIIZIIZIIIIIII",
"IIIZIZIIIIIIII",
"IZIIIIIIIZIIII"... | [
0.1123015873015873,
0.05277777777777778,
0.09007936507936508,
0.1503968253968254,
0.11388888888888889,
0.11388888888888889,
0.08333333333333333,
0.07063492063492063,
0.05277777777777778,
0.05277777777777778,
0.10952380952380952,
0.07063492063492063,
0.11230158730158729,
0.10277777777777779... | 0.9749 | [
0.48807464841342396,
1.1961335891764486,
2.025115537583523,
1.7118914943379968,
1.7163957773108087,
1.3397221066111447,
1.8369204919061086,
0.0010423004199421049,
0.07867918444697879,
-0.32739466661950295,
1.4020700659110485,
-0.14492710153325383,
1.2623409850717506,
1.8572192906183922,
... | {
"n_parameters": 55,
"n_qubits": 14,
"optimal_eigenvalue": -2.8821428571427696,
"target_ratio": 0.97,
"target_value": -2.7956785714284864
} | 23 |
bf3ec5b79f8955f472cb6ac1b88c1910 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.5670115075839237, "params": [[0.08170000000000001, 0.08020000000000001], [-0.08900000000000001, -0.0872]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.014146373368682122, 0.015369098330404576], "optimization_time": 2.872940778732... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.030506047325823155) q[0];
h q[1];
ry(0.9626531012769405) q[1];
h q[2];
ry(0.7812508056207816) q[2];
h q[3];
ry(0.7812508056207816) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7812508056207816) q[3];
cx q[4], q[3];
cx q[3], q[1];
ry(-0.9626531012769405) q[1];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
0.5,
0.25
] | 0.951722 | [
1.5625016112415633,
1.925306202553881,
1.2541936550988508,
1.4110912127349848,
-0.06101209465164631,
-1.7685038255782743,
-1.804348101458756,
1.9589904075550268,
-1.8509833662241,
0.03816537342584572,
-1.3333242559645757,
0.9913171017473899,
-0.01566841648661444,
0.1802021332140572,
2.98... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 500 |
a51181bafa7bcb3e3b3a50a4cac69c67 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target":... | {"states": [511, 507], "expectation_value": -16.024182618193283, "params": [[[-0.6769000000000001, 2.503], [-0.0035, 0.6187], [-0.0031000000000000003, -0.0023], [-0.0028, -0.0031000000000000003], [-0.0028, -0.0029000000000000002], [-0.0024000000000000002, -0.0031000000000000003], [1.6165, 0.5518000000000001], [0.004, 0... | -2.0 * (Z(0) @ Z(4)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + 0.5 ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.12726247641617497) q[0];
ry(-0.017856014981994427) q[1];
ry(0.006819761579907199) q[2];
ry(-0.047049428794170664) q[3];
ry(-0.047049428794170664) q[4];
ry(0.02881057310933227) q[5];
ry(2.19397133255719) q[6];
ry(-0.18006442045966792) q[7];
ry(0.09274446222470187) 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIIZIIZI",
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIZIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIZIII",
"ZIIIIIIII",
"... | [
-2,
-3,
0.5,
1,
-2.5,
1,
-2.5,
1,
-3,
0.5,
1.5,
-2.5,
-2.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.976303 | [
0.12726247641617497,
-0.017856014981994427,
0.006819761579907199,
-0.047049428794170664,
0.02881057310933227,
2.19397133255719,
-0.18006442045966792,
0.09274446222470187,
3.033227029120907,
-0.005211358910638933,
-0.04793785376419697,
0.04430703756615468,
0.3319194323424757,
0.197021469533... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 18 |
4973527a678849b98f57c7e36651dc7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [41, 97], "expectation_value": -4.496398064640455, "params": null, "bitstrings": ["1010110", "0011110"], "total_optimization_steps": 25, "probabilities": [0.06635227036942623, 0.9303267404400778], "optimization_time": 24.46321439743042} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0011110", "1100110", "1010110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.8788272678966522) q[0];
rz(pi/2) q[0];
ry(-0.1334241194120591) q[1];
ry(0.011604251726391297) q[2];
ry(0.25142013658659446) q[3];
ry(0.7966340171037538) q[4];
ry(0.9791512702589679) q[5];
ry(0.407401027069806) q[6];
ry(0.4990764500234285) q[7];
ry(0.91240932417959... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
-1.5,
-1.5,
0
] | 0.972665 | [
0.8788272678966522,
-0.1334241194120591,
0.011604251726391297,
0.25142013658659446,
0.7966340171037538,
0.9791512702589679,
0.407401027069806,
0.4990764500234285,
0.9124093241795926,
0.01000725245064743,
0.5390097874767521,
0.3349754001153205,
0.09482307600885169,
0.08011815732247125,
-0... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 56 |
-4278732443802325559 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 7], [2, 4, 5], [2, 7], [0, 1, 4, 5], [0, 4, 5, 6], [3, 4, 5, 6], [1, 2, 3], [1, 3, 6], [6, 7], [1, 4, 5, 6], [3, 5, 7], [0, 1, 3, 4], [2, 6]]} | {"states": [246, 182], "expectation_value": -2.792076091504814, "params": [2.0329, 0.3934, 1.0859, 0.0028, 1.9395, 0.9924000000000001, 0.6226, 0.0067, 1.7513, 0.28400000000000003, 1.3539, 0.0031000000000000003, 2.7778, 0.3668, 0.34940000000000004, 0.006500000000000001, 0.005200000000000001, -1.1764000000000001, 0.0002,... | 0.5833333333333334 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.25 * (Z(5... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["01001001"], "largest_eigenvalue": 11.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.037411865797709) q[0];
rz(0.36113592072206346) q[0];
rx(1.8945271841653542) q[1];
rz(1.1685172844558247) q[1];
rx(1.79006273389229) q[2];
rz(0.34155797611960725) q[2];
rx(2.9956493834797557) q[3];
rz(0.3450315563964459) q[3];
rx(-0.054990918324811934) q[4];
rz(-1.2... | 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": []} | [
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIIIZZI",
"ZIIIIZII",
"IIIZZIII",
"IIIZIIZI",
"IIIZIZII",
"IIZIZIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIZZIIII",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IZIIIZII",
"IZIZIII... | [
0.5833333333333334,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.49999999999999994,
0.08333333333333333,
0.16666666666666666... | 0.971892 | [
2.037411865797709,
0.43954196749963076,
1.894527184165354,
0.9202017899985655,
1.7900627338922899,
0.37152344171123863,
2.9956493834797557,
0.32867837861569,
-0.054990918324811934,
-1.043484577420028,
2.8342137559929905,
0.25446259107412506,
2.465802854245298,
0.30845573338125504,
0.0456... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 2 |
953796ca4b6137c6c134989cdf6bb9e5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [0, 1], "expectation_value": -12.104790364508025, "params": [0.0054, 0.3647, 0.0013000000000000002, 0.4409, 0.0044, 0.1164, 0.0022, 0.45890000000000003, 0.0009000000000000001, 0.3195, 0.0044, 0.40640000000000004, 0.0012000000000000001, 0.4319, 0.6076, 0.0073, 0.0001, 0.27030000000000004, 0.005500000000000000... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z... | 3 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.3483451487171722) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.02778833924913412) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.3483451487171722) q[1];
cx q[2], q[1];
rz(-0.34834514871717204) q[1];
rx(-1.5496356521799646) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"IIIIZZII",
"IIIIIZZI",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
-2,
-1.5,
-1,
-0.75,
-0.75,
2,
-0.75,
-0.5,
-0.25,
-1,
2.5,
-1,
-0.5,
-0.5,
1.25
] | 0.972046 | [
-0.3483451487171722,
-0.01952397966811929,
-0.02778833924913412,
-0.320011031661691,
0.18500737395646455,
-0.557023597019871,
-0.5413866637494237,
-0.9068040738231341,
0.708134931363403,
-1.5496356521799646,
-0.5760853995779249,
-0.12218594570022752,
-0.22892143467827025,
-0.61961605786585... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 121 |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [10, 3], "expectation_value": -6.361103686080937, "params": [[0.057], [-0.0594]], "bitstrings": ["1110101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.011211173612065941, 0.011500581264374539], "optimization_time": 3.688267469406128} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 16 | 7 | 1 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9710988307186401) q[0];
rz(-0.02891617297319593) q[0];
rx(0.01057020565881352) q[1];
rz(0.4201067776955153) q[1];
rx(0.17533459356932862) q[2];
rz(-0.2611102377168925) q[2];
rx(0.815311740040549) q[3];
rz(0.3185927358966159) q[3];
rx(0.02598770948038412) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
-10,
-10.25,
-10,
-10.25,
-10.25,
-9.25,
-9.5
] | 0.971532 | [
0.97109883071864,
0.1852350393243934,
0.01057020565881352,
0.4201067776955153,
0.17533459356932862,
-0.2611102377168925,
0.815311740040549,
0.3185927358966159,
0.02598770948038412,
0.4488470663552064,
0.8538907870390587,
-0.06192037117045744,
0.6391143778249074,
0.6360541241011217,
0.103... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -4.4375,
"target_ratio": 0.97,
"target_value": -4.304375
} | 17 |
ffaba4815bf0e67a2be83da1ce70c0be | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {... | {"states": [238, 110], "expectation_value": -25.043378396038246, "params": [[0.0307, 0.0092, 0.0, 0.0079], [-0.06910000000000001, -0.0448, -0.028900000000000002, -0.0143]], "bitstrings": ["00010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.013527018669791835, 0.016431604687175385], "optimizatio... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 177.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0349012653459121) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0349012653459121) q[2];
cx q[0], q[2];
rz(1.372511651455401) q[0];
rx(1.1550885163993503) q[0];
h q[3];
cx q[2], q[3];
rz(0.0349012653459121) q[3];
cx q[2], q[3];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
5,
15,
8.5,
15.5,
17.5,
25.5,
8.5
] | 0.971849 | [
0.0349012653459121,
-1.375125390584539,
1.3725116514554008,
-1.4287899300033384,
1.2895946225666228,
-1.205398916477897,
-1.7835398268220337,
1.1550885163993505,
0.19838963590148706,
-0.1330776885834662,
1.1425666744981,
-0.6695777425615023,
0.9768533727563294,
-0.8054055175533561,
0.233... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 32 |
406f205c8f68e15d44cfdbce281f4c7d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [37, 7], "expectation_value": -6.868769623322619, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10740038652747583, 0.6097205169304722], "optimization_time": 79.94400596618652} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 16 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
2,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
6937cf9b84e6fcf0b74e4e8a04c76bf2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"s... | {"states": [6543, 6655], "expectation_value": -13.662011213717436, "params": [2.7316000000000003, 0.40540000000000004, -0.1242, 0.1303, 0.0025, 0.0024000000000000002, 0.0026000000000000003, 0.0026000000000000003, -2.8068, -0.33990000000000004, 0.0038, 0.0015, 1.0416, 0.6062000000000001, -0.3763, -0.7507, -0.0881, 0.094... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(10) + 0... | 14 | 13 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0011000000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(2.791901594130012) q[0];
rz(pi/2) q[0];
ry(-0.0843422934894037) q[1];
ry(0.05562782829829124) q[2];
ry(-0.02280253272667214) q[3];
ry(-2.375305547908904) q[4];
ry(0.05668837998704502) q[5];
ry(2.677744081408125) q[6];
ry(-0.25640878219772106) q[7];
ry(-0.08114454445... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIZZIIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIIIIZZIIIIII",
"IIZZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIIIZ",
"IIIIIIIIIZIII",
"IIIIIIIIIIZII",
"IIIIIIIZIIIII",
"IIIIIIIIZIIII",
"IIIIZIIIIIIII",
"IIIIIIZIIIIII",
"IIIIIZIIIII... | [
-1,
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1,
-1,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97122 | [
2.791901594130012,
-0.0843422934894037,
0.05562782829829124,
-0.02280253272667214,
-2.375305547908904,
0.05668837998704502,
2.677744081408125,
-0.25640878219772106,
-0.08114454445584726,
2.548733831693853,
0.04723458336563558,
1.343758904846397,
1.4161002366395854,
0.20859896289020757,
2... | {
"n_parameters": 49,
"n_qubits": 13,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 27 |
-8504159703099461588 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 5, 7, 9], [0, 1, 2, 8], [8, 0, 7], [0, 1, 3, 4, 6, 8, 9], [0, 2, 3, 4, 8], [9, 5, 6, 7], [0, 1, 3, 4, 7], [0, 1, 2, 4, 5, 7, 9], [0, 2, 4, 6, 7, 9], [8, 2, 5], [2, 3, 4, 6, 7], [0, 2, 3, 6, 8], [8, 5, 6], [8, 9, 5]]} | {"states": [431, 463], "expectation_value": -3.3406712943291836, "params": [[[-0.0028, -1.4038000000000002, 0.0026000000000000003, 0.0001], [-0.0029000000000000002, -1.4038000000000002, -0.0025, 0.0083], [1.5689000000000002, -0.002, 1.5684, 0.0045000000000000005], [1.9412, -0.0019, 1.2049, 0.0035], [1.5807, -0.00260000... | 0.20476190476190473 * (Z(0) @ Z(1)) + 0.13095238095238093 * (Z(2) @ Z(1)) + 0.2642857142857143 * (Z(2) @ Z(0)) + 0.09761904761904762 * (Z(3) @ Z(1)) + 0.19761904761904764 * (Z(3) @ Z(0)) + 0.1738095238095238 * (Z(3) @ Z(2)) + 0.047619047619047616 * (Z(5) @ Z(1)) + 0.047619047619047616 * (Z(5) @ Z(0)) + 0.21428571428571... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.3571428571428577], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3238095238095235, "smallest_bitstrings": ["1000110000"], "largest_eigenvalue": 13.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.347861663033569) q[0];
h q[1];
cx q[1], q[0];
ry(0.347861663033569) q[0];
cx q[1], q[0];
ry(-0.20298441050442326) q[0];
ry(1.0866058597760617) q[1];
h q[2];
ry(1.1101247962270069) q[2];
h q[3];
cx q[3], q[0];
ry(0.20298441050442326) q[0];
cx q[3], q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIIIZIII",
"ZIIIZIIIII"... | [
0.20476190476190473,
0.13095238095238093,
0.2642857142857143,
0.09761904761904762,
0.19761904761904764,
0.1738095238095238,
0.047619047619047616,
0.047619047619047616,
0.21428571428571427,
0.023809523809523808,
0.09761904761904762,
0.29761904761904756,
0.13095238095238093,
0.12380952380952... | 0.975755 | [
1.5417280487637144,
1.5367241491382377,
1.1101247962270069,
-0.7372383208502677,
0.8368836870028595,
-0.6998192642470897,
0.47984260014616326,
0.9049184073927156,
-0.39315747283651103,
-0.695723326067138,
0.5486559916075506,
-0.4059688210088465,
0.8338842922675606,
-0.5526861697752754,
0... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -3.3571428571428577,
"target_ratio": 0.97,
"target_value": -3.2564285714285717
} | 2 |
4555823087914865756 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 6, 7], [0, 1, 2, 3, 4], [0, 1, 2, 3, 5, 6], [3, 4, 5]]} | {"states": [250, 218], "expectation_value": -0.36584486377456377, "params": [0.895, 0.0047, 0.8922, 0.0002, 0.8987, 0.005200000000000001, 0.8955000000000001, 0.0022, 0.8951, -0.0007, 0.8912, 0.0012000000000000001, 0.9031, -0.0006000000000000001, 0.9067000000000001, 0.0041, 0.8952, -0.0055000000000000005, 0.8978, 0.0099... | 0.13333333333333333 * (Z(0) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.1 * (Z(4) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.08333333333333334 * (Z(1) @ Z... | 6 | 8 | 1 | {"smallest_eigenvalues": [-0.9333333333333336, -0.9333333333333336, -0.9333333333333336], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9333333333333333, "smallest_bitstrings": ["01000101", "00100101", "00101010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(5.368217205978486e-09) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-2.733146207920622e-07) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(3.7174304535763685e-07) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-3.43921... | OPENQASM 3.0;
include "stdgates.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",
"IIIZZIII",
"IIIZIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IZIZIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IZIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"IZZIIII... | [
0.13333333333333333,
0.26666666666666666,
0.1,
0.08333333333333334,
0.08333333333333334,
0.05,
0.05,
0.05,
0.05,
0.05,
0.08333333333333334,
0.08333333333333334,
0.05,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.05,
0.03333333333333333,
0.08333333333333334,
... | 0.964286 | [
5.368217205978486e-9,
-2.733146207920622e-7,
3.7174304535763685e-7,
-3.439217234012429e-8,
2.4353723194534876e-8,
3.1914721288942196e-7,
0.0000011252574159277961,
-1.727962069259379e-7,
-1.570796567530152,
1.5707947583984443,
1.5707960169884485,
1.5726645839457527,
1.5707979266161387,
-1.5... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -0.9333333333333336,
"target_ratio": 0.97,
"target_value": -0.9053333333333335
} | 483 |
9e72b7dd0d69a46b7f007aaed5517323 | 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}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -0.18235591454331151, "params": [[-0.031100000000000003, -0.07880000000000001], [0.0206, 0.0668]], "bitstrings": ["101001", "101100"], "total_optimization_steps": 10, "probabilities": [0.018124625809486004, 0.018124625809486018], "optimization_time": 2.272057294845581} | 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(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-0.5,
0
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
-8383149207643838478 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [4, 5], [1, 4], [5, 6], [5, 7], [1, 2], [0, 3]]} | {"states": [164, 196], "expectation_value": -3.090043405793479, "params": null, "bitstrings": ["01011011", "00111011"], "total_optimization_steps": 57, "probabilities": [0.0545294031722875, 0.7846992202320447], "optimization_time": 68.32576417922974} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000100", "00111011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(-0.1168593180343272) q[2];
cx q[1], q[2];
ry(0.1168593180343272) q[2];
cx q[1], q[2];
ry(1.27743452664494) q[1];
ry(-0.8186036922962693) q[2];
h q[3];
ry(-0.8092632915704292) q[3];
h q[4];
ry(-0.1168593180343272) q[4];
h q[5];
cx q[5], q[4];
r... | 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[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] = me... | [
"IIIZIIIZ",
"IIZZIIII",
"IIIZIIZI",
"IZZIIIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIZIIZ",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973015 | [
-0.2337186360686544,
1.328529471338759,
-0.566890974687518,
-0.17072008040662423,
1.6303906463768827,
-1.311373334576259,
1.21625714175965,
-0.9183739620317674,
-1.6185265831408584,
-0.10218988938763793,
-0.014936225455027069,
0.7368090510232139,
-0.5034254352175025,
-0.3742060800664895,
... | {
"n_parameters": 48,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 22 |
c451d9585216e3f1c5bc89acfa5b77d8 | 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": [455, 327], "expectation_value": -59.727217327425336, "params": [0.4927, 0.4902, 0.2777, 0.2629, 0.49060000000000004, 0.4965, 0.0922, 0.08650000000000001, 0.0579, 0.0553, 0.1359, 0.1343, 0.4904, 0.49520000000000003, 0.28450000000000003, 0.3664, 0.4787, 0.47690000000000005, 0.4949, 0.49210000000000004, 0.2439... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 9.0 * Z(0) + 5.0 * Z(1) + 2.5 * Z(3) + 13.0 * Z(2) + -5.5 * Z(4) + 4.0 * Z(5) + 7.0 * Z(6) + 7.0 * Z(7) + 9.0 * Z(8) | 14 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 109.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.0786364078723707) q[0];
ry(0.297096745685546) q[1];
ry(0.6293510276208054) q[2];
ry(0.018589178197565743) q[3];
ry(0.3765824953094186) q[4];
ry(0.29218552655486985) q[5];
ry(0.04116465117864082) q[6];
ry(0.17790892617792425) q[7];
ry(0.6657017174768285) 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] 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
9,
5,
2.5,
13,
-5.5,
4,
7,
7,
9
] | 0.974332 | [
0.0786364078723707,
0.297096745685546,
0.6293510276208054,
0.018589178197565743,
0.3765824953094186,
0.29218552655486985,
0.04116465117864082,
0.17790892617792425,
0.6657017174768285,
0.11970356944447005,
0.05847675704917792,
0.012115499154957722,
0.07779464627960145,
0.09576757820059022,
... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 62 |
ae6952b9988373e57f20a6b97ac5f790 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [38314, 21930], "expectation_value": -1.7545671151654298, "params": [[1.5579, 1.6556000000000002, 0.3027, 1.5732000000000002, 0.11280000000000001, 1.7100000000000002, 0.11670000000000001, 0.1111, 1.4197, 0.0964, 1.5979, 0.1114, 1.5027000000000001, 0.09380000000000001, 1.5739, 0.1028], [1.4493, 0.1253, 0.1225... | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011574074074074073 * (Z(4) @ Z(0)) + 0.00015432098765432098 * (Z(4) @ Z(2)) + -0.0011574074074074073 * (Z(5) @ Z(1)) + 0.00015432098765432098 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0219135802468537], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021913580246819, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0191358024691084} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.6176746439428564) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.04711237280899161) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.04711237280899161) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.6176746439428564) q[3];
cx q[2], 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[... | {"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,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
-0.0011574074074074073,
0.00015432098765432098,
-0.0011574074074074073,
0.00015432098765432098,
0.25,
-0.0011574074074074073,
0.00015432098765432098,
0.00007716049382716049,
-0.0011574074074074073,
0.00015432098765432098,
0.0000... | 0.975031 | [
-1.6176746439428564,
-0.04711237280899161,
0.08810742527228285,
-0.038627748482055885,
0.014814599547731448,
0.025645320525221393,
-0.10602541466117812,
-0.004575058381305383,
-0.012297832330355422,
0.012252411692538046,
0.060602236155230776,
-0.011090898599481439,
0.7905857965648304
] | {
"n_parameters": 13,
"n_qubits": 16,
"optimal_eigenvalue": -2.0219135802468475,
"target_ratio": 0.97,
"target_value": -1.961256172839442
} | 31 |
12625ff7963f220cedd44f15c6035b49 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1010, 2042], "expectation_value": -18.95865574482283, "params": null, "bitstrings": ["1110000001101", "1100000000101"], "total_optimization_steps": 100, "probabilities": [0.09426666769276598, 0.5537970536213181], "optimization_time": 507.8781864643097} | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 1 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1110000010010", "1110000001101", "1110000001010", "1100100011010", "1100100011101", "1101000011010", "1101000011101", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
e680a6ba7beda9e3b8f10da863d4f131 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [0, 3], "expectation_value": -21.982820780199308, "params": [0.0033, 1.0821, 0.0034000000000000002, 0.0095, -0.0023, 2.0494, 0.0022, 0.008700000000000001, 0.0018000000000000002, 2.0236, -0.0018000000000000002, 0.0001, 0.0026000000000000003, 2.0689, -0.0025, 0.0048000000000000004, -0.002, 2.0601000000000003, ... | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(1)) + 1.0 *... | 6 | 8 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["11111100"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.04445085836403863) q[0];
rz(2.3827891804883983) q[0];
rx(0.013034392876635222) q[1];
rz(-2.6064776804648044) q[1];
rx(-0.04879214980309693) q[2];
rz(-2.569240394681687) q[2];
rx(-0.019631136202891485) q[3];
rz(-2.3933050588010207) q[3];
rx(-0.02208493849742423) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"IIZIIIZI",
"IIZIIZII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"ZIIIIII... | [
-2.5,
1,
-3,
-3,
1,
-3.5,
1,
0.5,
-3,
-2.5,
0.5,
0.5,
-3,
1,
1,
-1,
-2.5,
1,
2,
-2.5,
-2.5,
-2.5,
0.5,
0.5
] | 0.970137 | [
-0.04445085836403863,
0.811992853693502,
0.013034392876635222,
2.1059112999198852,
-0.04879214980309692,
2.1431485857030026,
-0.01963113620289149,
2.319083921583669,
-0.022084938497424232,
2.067577194323081,
0.12847946823822295,
1.7546524379193384,
1.8204090145315555,
-0.001159181676993206... | {
"n_parameters": 35,
"n_qubits": 8,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 27 |
1760446773707067623 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 5, 6, 7], [8, 10, 2, 11], [1, 2, 3, 4, 5, 8, 9, 11], [9, 5, 7], [8, 10, 11, 7], [0, 9]]} | {"states": [4092, 4084], "expectation_value": -1.6433364571182572, "params": [1.5917000000000001, 0.0021000000000000003, 1.6167, -0.002, 2.0543, -0.002, 2.3376, 0.002, 2.4358, -0.0024000000000000002, 2.8064, -0.003, 2.8641, 0.0036000000000000003, 2.9001, -0.0037, 1.4875, 1.2837, 2.8942, 0.9888, -0.020200000000000003, 1... | 0.10119047619047619 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.25 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.017857142857142856 * (Z(10) @ Z(7)) + 0.18452380952380953 * (Z(10) @ Z(3)) + 0.08333333333333333 * (Z(10)... | 4 | 12 | 1 | {"smallest_eigenvalues": [-1.7619047619047623, -1.7619047619047623, -1.7619047619047623, -1.7619047619047623, -1.7619047619047623], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.7619047619047619, "smallest_bitstrings": ["100011000100", "110010000100", "100010100100", "000100000001", "000000001011"], "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.4989819218949807) q[0];
rz(1.5571197518636115) q[0];
rx(1.6873986135678802) q[1];
rz(1.6039388832038108) q[1];
rx(1.9985818507467394) q[2];
rz(1.6039388832038108) q[2];
rx(2.537605203604016) q[3];
rz(1.498622843024167) q[3];
rx(2.437266035363253) q[4];
rz(1.648847... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIZIIIZIII",
"IIIZZIIIIIII",
"IIIZIIIIZIII",
"IIZIZIIIIIII",
"IIZIIIIIZIII",
"IIZZIIIIIIII",
"IZIIZIIIIIII",
"IZIIIIIIZIII",
"IZZIIIIIIIII",
"IIIIIIIIZZII",
"IIZIIIIIIZII",
"IZIIIIIIIZII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IZIIIIIZIIII",
"IIIIIIIZIZII",
"IIIIZIIIIIZI",
"IIIIIIIIZ... | [
0.10119047619047619,
0.08333333333333333,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.017857142857142856,
0.18452380952380953,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.017857142857142856,
0.10119047619047619,
0.10119... | 0.97482 | [
1.4989819218949807,
-0.013676574931285178,
1.68739861356788,
0.033142556408914524,
1.9985818507467394,
2.537605203604016,
-0.0721734837707293,
2.437266035363253,
0.07805106482524628,
2.7030860485891472,
-0.041806781676054526,
2.66284688269307,
0.05433275385487292,
3.138066582416876,
0.11... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -1.7619047619047623,
"target_ratio": 0.97,
"target_value": -1.7090476190476194
} | 11 |
-7862726161300968349 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 10, 3], [10, 4], [0, 5, 7], [0, 2, 11], [9, 10, 2], [8, 2], [2, 4], [1, 3, 7], [0, 9, 11], [1, 4], [0, 4, 5], [11, 6, 7], [5, 6], [9, 5], [0, 3], [8, 9, 11], [9, 3, 6], [0, 10, 6]]} | {"states": [3639, 3638], "expectation_value": -4.894025841194221, "params": [[[3.0865, 0.003], [3.0883000000000003, 0.0057], [3.0969, 0.0047], [0.7549, 0.0005], [0.2655, 0.0086], [0.4983, 0.001], [3.0868, 0.0079], [3.0832, 0.0045000000000000005], [0.4812, 0.0092], [3.0943, 0.0051], [3.0952, 0.0007], [1.4919, 0.00390000... | 0.16666666666666666 * (Z(11) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(11)) + 0.5 * (Z(4) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.3333333333333333 * (Z(0) @ Z(11)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.33... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666668, "smallest_bitstrings": ["000111001001"], "largest_eigenvalue": 14.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.911510537174074) q[0];
rz(-0.11766930820440152) q[0];
rx(3.1422680647838526) q[1];
rz(-0.06870660954887577) q[1];
rx(3.0213769985987655) q[2];
rz(-0.25005584748923987) q[2];
rx(0.0660161373478153) q[3];
rz(-0.061564919536955955) q[3];
rx(0.07452482723658284) 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": []} | [
"ZZIIIIIIIIII",
"IZIIIIIIZIII",
"ZIIIIIIIZIII",
"IZIIIIIZIIII",
"IZIIIIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"ZIIIZIIIIIII",
"IIIIZIIIZIII",
"IIIIZIIIIIIZ",
"IIIIZIZIIIII",
"IZIIIIIIIZII",
"ZIIIIIIIIZII",
"IIIIIIIZIZII",
"IIIIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.166... | 0.973155 | [
2.911510537174074,
-0.11766930820440152,
3.1422680647838526,
-0.06870660954887577,
3.0213769985987655,
-0.25005584748923987,
0.0660161373478153,
-0.061564919536955955,
0.07452482723658284,
-0.00725136284048028,
0.11214960443603833,
0.021213114111044012,
3.049849169810031,
0.078977000008510... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 7 |
c5d57071b024d109c38c43678d62eaf1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [6, 1], "expectation_value": -0.5264616082466853, "params": [[-0.0256, -0.028800000000000003, -0.0339, -0.0613], [0.023100000000000002, 0.024300000000000002, 0.0304, 0.0538]], "bitstrings": ["001", "110"], "total_optimization_steps": 10, "probabilities": [0.13811768322872067, 0.1768238229344996], "optimizati... | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-1.25,
1.5,
-1.25,
-0.25,
1.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
6500067681146682005 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [1, 4], [2, 5], [1, 6], [0, 4, 5, 7], [0, 1, 5, 7], [0, 3], [1, 3, 5, 7], [3, 4], [1, 2]]} | {"states": [212, 204], "expectation_value": -0.4597471108407025, "params": [[-0.1695], [0.1758]], "bitstrings": ["00101011", "00110011"], "total_optimization_steps": 20, "probabilities": [0.006816598333524695, 0.006903529920113827], "optimization_time": 2.328233480453491} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["00110011"], "largest_eigenvalue": 6.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.6339322020336018) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.6339322020336018) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.10402022135353918) q[1];
cx q[0], q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.10402022135353918) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2],... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIIZ",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIII... | [
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0,
0... | 0.612553 | [
-0.6339322020336018,
0.10402022135353918,
-0.018777512407162095,
-0.49844678896111005,
0.7075632035187056,
0.16361262730814938,
-0.9907145980812078,
0.898865109727718
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 203 |
7c7664cb9cb13a35da50c3201e32fb16 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [97, 14], "expectation_value": -1.176993104796772, "params": [[-0.0741, -0.0703, -0.078, -0.0526], [0.079, 0.0738, 0.07970000000000001, 0.0692]], "bitstrings": ["0011110", "1110001"], "total_optimization_steps": 10, "probabilities": [0.02040695842752005, 0.020406958427520053], "optimization_time": 7.26033329... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001110", "1101001", "0011110", "1001011", "1110001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.03443378752785541) q[0];
rz(-0.13110126421031687) q[0];
rx(0.1780229093399017) q[1];
rz(-0.1841110151175016) q[1];
rx(0.3258424952178776) q[2];
rz(0.019690802414419117) q[2];
rx(-0.1573527638739795) q[3];
rz(-0.15564052018377517) q[3];
rx(0.41048682556123217) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983075 | [
-0.03443378752785541,
-0.07317377189750467,
0.1780229093399017,
-0.1000308368391451,
0.3258424952178776,
-0.025638991230291522,
-0.1573527638739795,
-0.2109726450679203,
0.4104868255612321,
-0.02896349377971935,
-0.10942550014263858,
0.023168782610153135,
0.146783244140875,
0.2167996115517... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
cba3c0f3028bedd24c97c562399fe60f | kclique | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [56, 7], "expectation_value": -5.933835258651147, "params": [[0.0538, 0.0386, 0.0177, 0.0105], [-0.0505, -0.0422, -0.0341, -0.0252]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.017543596842243894, 0.01934685145293183], "optimization_time": 7.458693504333496} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (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)) + 2.25 ... | 15 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
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": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
190b9e209adb3e0aadea8d3d462a7035 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [192, 504], "expectation_value": -13.074759749354827, "params": null, "bitstrings": ["100111111", "000000111"], "total_optimization_steps": 100, "probabilities": [0.052458383315533215, 0.6014289438367734], "optimization_time": 239.8456859588623} | -2.0 * (Z(0) @ Z(3)) + -3.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000010", "000000111"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.7923214305407773) q[0];
h q[1];
h q[2];
ry(0.7923214305407773) q[2];
h q[3];
h q[4];
ry(0.7923214305407773) q[4];
cx q[3], q[4];
ry(-0.7923214305407773) q[4];
cx q[3], q[4];
cx q[4], q[0];
ry(-0.7923214305407773) q[0];
cx q[4], q[0];
ry(0.5252899965440843) ... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZIIZII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IIIIIIZII",
"... | [
-2,
-3,
-2.5,
-2.5,
0.5,
1,
1,
0.5,
-3,
-2,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1
] | 0.918673 | [
1.5846428610815546,
1.0505799930881685,
-0.3835547970213339,
-0.5164348656075911,
-0.02253242746201313,
0.9562947931592557,
1.1834556375084002,
0.04210632376861098,
-1.5846697689466158,
0.44340608144992966,
-0.026595686138688374,
-0.12046856616720286,
-0.09210938401826475,
0.27738958301632... | {
"n_parameters": 55,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
0fcc1a24f94fd2a8b4a107178db6be3d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [682, 686], "expectation_value": -2.7074196009233704, "params": [[1.0571000000000002, -0.0023, 1.0106, 0.2058, 1.1028, -0.019100000000000002, 1.1521000000000001, 0.5598000000000001, 1.1118000000000001, -0.049], [1.0265, -0.003, 1.0924, -0.07490000000000001, 0.9281, 0.003, 0.7002, -0.14070000000000002, 0.7396... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 10 | 10 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100101100", "0100110100", "1000100110", "0110010001", "0100110010", "1100100100", "0101110000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003329952575220962) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.003329952575220962) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.003329952575220962) q[5];
cx q[0], q[5];
rz(0.2271403800727576) q[0];
rx(-1.5668... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIZIIZIZ",
"IIIZIIIZIZ",
"IIIZZIIIIZ",
"IIIZZIIZII",
"IIIZZIIZIZ",
"IIZIIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IZZIIIIIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.5,
0.125... | 0.821768 | [
0.003329952575220962,
-1.5708316330529057,
0.2271403800727576,
-0.07902505467877949,
-1.5668304537158142,
1.5736423638586798,
-0.03548527954890518,
-1.5747194547938785,
-3.1472492563193653,
-0.4467237359589419
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 390 |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [25, 28], "expectation_value": -3.499937482943581, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 22, "probabilities": [1.6356545604728112e-05, 0.9999687420766158], "optimization_time": 11.628295183181763} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
0,
-0.5
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
d33bc1e38a91534ccb33169ef0b03611 | 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": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [228, 236], "expectation_value": -2.1630665478132842, "params": [[[0.1102, -0.0614, 0.0017000000000000001, 0.007], [0.2523, 0.2753, 0.6794, 0.0285], [0.5907, -0.1302, -0.5375, 0.5841000000000001], [0.0149, -0.23290000000000002, 0.5104000000000001, -0.5686], [0.8013, 0.41040000000000004, 0.3705, 0.76840000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["100010011", "101000110", "100010110", "100110010"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.1251468189592682) q[0];
rz(-0.14910931151278822) q[0];
ry(0.1931090250082294) q[1];
rz(0.8906908736248537) q[1];
cx q[1], q[0];
ry(-0.07653128982389744) q[0];
rz(0.9759822597761411) q[0];
ry(0.7240441025509706) q[1];
rz(-0.09699030525937063) q[1];
ry(0.914195958036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIZI",
"IIZIZIIZI",
"IIZZIIIZI",
"IIZZZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.625,
0.25,
-0.125,
0.125,
... | 0.970567 | [
0.1251468189592682,
-0.14910931151278822,
0.1931090250082294,
0.8906908736248537,
0.9141959580361719,
-0.20159325551699214,
-0.20511898902568937,
-1.0051648929287569,
1.5424885403455644,
0.11079567101696407,
0.8126566431225749,
0.5404654844320026,
0.18310061594619942,
-0.455330562430314,
... | {
"n_parameters": 62,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 72 |
2c15deea3644dfbcf53b5ef31047e7a3 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [159, 155], "expectation_value": -3.370464029683352, "params": [[[0.4988, -0.0021000000000000003], [-0.0058000000000000005, -0.2634], [0.046, 0.23450000000000001], [0.45930000000000004, -0.0044], [0.5076, -0.0022], [0.3381, 0.0258], [0.5009, -0.0018000000000000002], [0.506, 0.0005]], [[0.5053, -0.00210000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -2.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(3) | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01110000", "01100100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.5727499441344888) q[0];
ry(2.947291060299567) q[0];
rz(-0.7648270444184448) q[0];
rz(2.7382223591249426) q[1];
ry(0.13303070469100278) q[1];
rz(2.897044107193116) q[1];
rz(1.1225197265501148) q[2];
ry(0.097424455602028) q[2];
rz(0.34242984361832685) q[2];
rz(2.4706... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-2,
-0.5,
-0.5,
0,
0,
0
] | 0.979829 | [
0.45498930572452795,
0.07508129430306976,
0.18158564949873018,
-0.44008696145753246,
0.13453026946156654,
0.43985559173506,
0.6890798952895211,
0.1260395469135168,
0.47250870355523045,
-0.06290433325422645,
-0.037962050729164594,
0.5106130690788068,
0.5782703386064119,
0.000024255067364226... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 18 |
605742faa50c2e92c07356e058fd303f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [36, 20], "expectation_value": -3.4116331538123674, "params": null, "bitstrings": ["011011", "101011"], "total_optimization_steps": 17, "probabilities": [0.06012628465746276, 0.7888204776973939], "optimization_time": 14.29835057258606} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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 \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZZII",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
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,
-0.5,
-1
] | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
4d70328aecc8c1ea3157fc10838636c1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -6.239335310072682, "params": [[0.0222, 0.026600000000000002, 0.033, 0.033800000000000004], [-0.0222, -0.038, -0.050800000000000005, -0.058300000000000005]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.01754292302323447, 0.0189882026... | 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(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) 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[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
3456096028217915893 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6], [0, 1, 2, 4, 5], [2, 5, 6], [2, 6, 7], [1, 3, 5], [0, 3, 6, 7], [1, 2, 4, 5, 7], [1, 3, 4, 7], [0, 3, 5], [0, 1, 4, 5, 7], [0, 2, 4, 5, 7]]} | {"states": [31, 61], "expectation_value": -1.3056348447191044, "params": [[-0.26780000000000004], [0.2778]], "bitstrings": ["11100000", "11000010"], "total_optimization_steps": 30, "probabilities": [0.0094398262150452, 0.009612600842980226], "optimization_time": 3.9147777557373047} | 0.15000000000000002 * (Z(1) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.3 * (Z(3) @ Z(1)) + 0.2 * (Z(4) @ Z(2)) + 0.2833333333333333 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.3833333333333333 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(0) @ Z(2))... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6333333333333337, "smallest_bitstrings": ["11000010"], "largest_eigenvalue": 11.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.07000990146977118) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.04531769466668213) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.1235585756924081) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(0.014575105551357033) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIZ... | [
0.15000000000000002,
0.05,
0.3,
0.2,
0.2833333333333333,
0.13333333333333333,
0.3833333333333333,
0.05,
0.13333333333333333,
0.05,
0.1,
0.1,
0.25,
0.15000000000000002,
0.08333333333333333,
0.31666666666666665,
0.31666666666666665,
0.3333333333333333,
0.2,
0.16666666666666666,
... | 0.970837 | [
0.07000990146977118,
0.04531769466668213,
-0.1235585756924081,
0.014575105551357033,
-0.00021886714049802747,
0.029409811621658555,
-2.0884655459168293,
-0.008782610651170697,
0.07249429563170233,
-0.0556159906717964,
0.032920674519849154,
-0.12735020870636918,
-0.039029191024948055,
-0.03... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 153 |
b5518f36afa4dbdb0f95543c602afa47 | 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": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [117, 110], "expectation_value": -10.684896016974669, "params": [[-0.0385], [0.0585]], "bitstrings": ["110001010", "110010001"], "total_optimization_steps": 10, "probabilities": [0.0036434443706806147, 0.004119170423361629], "optimization_time": 2.22942852973938} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.286325205538855) q[0];
ry(0.1953118769536368) q[0];
rz(-2.3052829769044867) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.04979024122263945) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.04979024122263945) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.04979024122263945)... | 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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
0.5,
22.5,
11.5,
21,
21,
11,
9.5,
-7.5
] | 0.970367 | [
0.04979024122263945,
-1.2395641058626865,
1.6072661776984662,
-1.2975643784720312,
0.8841029895329524,
-1.446418733116507,
-1.4355238644249626,
1.3859267980444265,
1.189824641938442,
1.5301831548502773,
0.2543065660981385,
1.5984645142055647,
-1.0908269470905945,
1.456728143422818,
0.875... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 65 |
ab01514d72b7516b73973ff582495374 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [126, 127], "expectation_value": -15.96572333418962, "params": [[[0.504, -0.0034000000000000002], [0.0016, -0.005200000000000001], [-1.4217, 0.9277000000000001], [-0.0026000000000000003, 2.2088], [0.0019, -0.002], [-0.0019, -0.0019], [-0.002, 0.002], [-0.0026000000000000003, -0.0023], [1.5934000000000001, 1.... | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + -1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * Z(1) + -1.0 * Z(0) ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["1000000000", "1110000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.03019145075309322) q[0];
ry(-0.08031813924568279) q[1];
ry(-1.1170941789701017) q[2];
ry(-0.08287358687465089) q[3];
ry(-0.0035253341042190724) q[4];
ry(0.03284626998956997) q[5];
ry(-0.019361205293923146) q[6];
ry(-0.08287358687465089) q[7];
ry(3.150938813399765... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
0.5,
-1.5,
-2.5,
0.5,
-2.5,
-1.5,
-2.5,
0.5,
0.5,
-2.5,
-1.5,
0.5,
-1,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971325 | [
-0.03019145075309322,
-0.08031813924568279,
-1.1170941789701017,
-0.08287358687465089,
-0.0035253341042190724,
0.03284626998956997,
-0.019361205293923146,
3.150938813399765,
-0.03672236193285898,
-0.10279673714435467,
-0.025194517829770162,
0.3020305013578938,
2.9069534110229704,
0.0323827... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 49 |
2b26a12696164cfcc8f866aee0d442c7 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"sour... | {"states": [248, 255], "expectation_value": -1.8043757735847645, "params": [[0.06910000000000001], [-0.0714]], "bitstrings": ["00000111", "00000000"], "total_optimization_steps": 10, "probabilities": [0.0072841696674674754, 0.007418807841375633], "optimization_time": 3.370182514190674} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(0) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5721225068176431) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.5721225068176431) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.8750916156475936) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5721225068176431) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
-2.5,
-2,
-2.5,
-2,
-2,
-2.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.593179 | [
-0.5721225068176431,
-0.8750916156475936,
-0.08162156396339203,
-0.7061631884376179,
-0.031442699962260574,
-1.034885493446922
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 168 |
5316005761394568774 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 5, 7], [3, 4, 6], [0, 1, 5, 7], [0, 8, 3, 4], [3, 7], [8, 3, 4, 5], [0, 2]]} | {"states": [444, 440], "expectation_value": -2.070309192125366, "params": [3.1438, 0.0068000000000000005, 3.1445000000000003, 0.003, 0.0028, 0.0015, 2.8024, 0.0007, 3.1431, 0.0024000000000000002, 3.1443000000000003, 0.0099, 1.5446, 0.0051, 0.008700000000000001, 0.0097, 0.7662, 0.0041, 0.0011, 0.0019, 0.0001, 0.0, 0.007... | 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7... | 16 | 9 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["001000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-3.0040659875920652) q[0];
rz(-0.25726641188267685) q[0];
rx(3.1106847366007497) q[1];
rz(-0.2505339839425643) q[1];
cx q[1], q[0];
rz(0.06449225758392987) q[0];
cx q[1], q[0];
rz(-0.029929733035201394) q[1];
rx(-0.18656144166397232) q[2];
rz(-0.4171362527900815) 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": []} | [
"IIIIZIIZI",
"IIIZZIIII",
"IIIZIIIZI",
"IZIIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIZZIII",
"IIIZIZIII",
"IZIIIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IIIIIZIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"IIIIIIZIZ",
"... | [
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.083333333... | 0.982772 | [
3.279119319587521,
-0.19277415429874759,
3.1106847366007497,
-0.2505339839425643,
-0.18656144166397234,
-0.11488171950301979,
3.119505470998385,
0.5015402601318082,
3.125171141739082,
-0.18246385919240043,
3.0184862605195533,
0.4832717693844257,
0.3337816176853625,
-0.013959080111559073,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 13 |
5018340214889155232 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 5], [0, 1, 2, 7, 10], [3, 4, 6], [10, 11, 4, 7], [3, 7], [5, 7, 8, 10, 11], [0, 1, 6, 9, 11], [0, 4], [3, 11], [0, 9, 10], [9, 2, 6], [9, 10, 1], [9, 11, 1, 7], [8, 0], [0, 1, 2, 3, 9], [8, 1], [4, 7, 8, 9, 10], [1, 4]]} | {"states": [3635, 3699], "expectation_value": -5.096893369498891, "params": [2.1974, 0.0023, 2.9953000000000003, -0.0019, 3.1398, -0.0054, 0.1726, 0.41540000000000005, -0.0013000000000000002, -0.7308, 1.0385, -1.9828000000000001, 2.999, 0.002, 3.1398, 0.0001, -0.0023, -1.1665, 0.7087, -0.1874, 3.0273000000000003, -0.00... | 0.5 * (Z(9) @ Z(5)) + 0.26666666666666666 * (Z(0) @ Z(9)) + 0.35 * (Z(1) @ Z(9)) + 0.15000000000000002 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(2) @ Z(9)) + 0.1 * (Z(2) @ Z(0)) + 0.1 * (Z(2) @ Z(1)) + 0.05 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(7) @ Z(9)) + 0.05 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(1... | 4 | 12 | 1 | {"smallest_eigenvalues": [-5.600000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.350000000000001, "smallest_bitstrings": ["000110001100"], "largest_eigenvalue": 14.500000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.397989873132544) q[0];
rz(1.8471369010759613) q[0];
rx(-3.1183902820689333) q[1];
rz(1.6124894360793824) q[1];
rx(-3.111230902288186) q[2];
rz(1.6489575286587037) q[2];
rx(-0.04397254267686256) q[3];
rz(2.1732520083035958) q[3];
rx(0.17460219426703466) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIIIZI",
"IIIIIIIIIIZZ",
"IIZIIIIIIZII",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIZIZIIIII",
"IIZIZIIIIIII",
"IIIIZIIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZIIIIZII",
"IZIIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIIIIIIZ",
"IZIIIIIIIIZI",
"IZIIIIIIIZII",
"IZIIZIIII... | [
0.5,
0.26666666666666666,
0.35,
0.15000000000000002,
0.21666666666666667,
0.1,
0.1,
0.05,
0.13333333333333333,
0.05,
0.13333333333333333,
0.05,
0.05,
0.3833333333333333,
0.21666666666666667,
0.21666666666666667,
0.05,
0.23333333333333334,
0.05,
0.05,
0.05,
0.05,
0.5,
0.... | 0.977473 | [
2.397989873132544,
0.27634057428106495,
3.1647950251106534,
0.04169310928448641,
3.171954404891401,
0.07816120186380711,
-0.04397254267686256,
0.6024556815086981,
0.17460219426703466,
-0.8100840714380079,
1.548638976839053,
-2.740507717403766,
2.9736638987624966,
0.30324060993752266,
-0.... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -5.600000000000001,
"target_ratio": 0.97,
"target_value": -5.432000000000001
} | 10 |
f23d2a7db93c6e79e89f3b179ac09e4a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 4, "target": 5}, {"source": ... | {"states": [127, 1023], "expectation_value": -1.8549259336137307, "params": [[-0.0614], [0.07100000000000001]], "bitstrings": ["1110000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0017994066723478895, 0.00182168596180636], "optimization_time": 4.255221843719482} | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(8)) + 1... | 1 | 10 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.7281071062148635) q[1];
h q[2];
ry(0.7281071062148635) q[2];
cx q[0], q[2];
ry(-0.7281071062148635) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
ry(0.9766281068087005) q[5];
h q[6];
h q[7];
ry(0.7281071062148635) q[7];
cx q[6], q[7];
ry(-0.72810710... | 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[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[2], q[0];
rz(x0) q[0];
cx q[2], q... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII"... | [
-2,
-1.5,
0.5,
-1,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.922647 | [
1.456214212429727,
1.5859263813986206,
1.953256213617401,
-0.06744231709671222,
1.4213978082449175,
-0.24541153840732366,
0.09108126634270336,
0.005720102735280552,
-0.03778173519590952,
1.2121075920234368,
-1.5305030405657813,
1.1840488852634665,
-0.013119950978745498,
0.0306336645150311,... | {
"n_parameters": 67,
"n_qubits": 10,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 500 |
5209090614501508436 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 5, 6], [0, 1, 2, 3, 5, 6, 8], [0, 2, 3, 4, 7], [8, 4, 5], [1, 4, 6, 7], [1, 3, 6, 7], [0, 2, 3, 6, 7, 8]]} | {"states": [501, 245], "expectation_value": -1.5179342463768748, "params": [1.2815, 0.41100000000000003, 0.6883, 0.0068000000000000005, 1.7756, 0.08420000000000001, 1.288, 0.0033, 1.7203000000000002, 0.0599, 1.2392, 0.0083, 1.7709000000000001, 0.07680000000000001, 1.2549000000000001, 0.009600000000000001, 1.7677, 0.168... | 0.047619047619047616 * (Z(0) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(1)) + 0.13095238095238096 * (Z(2) @ Z(0)) + 0.13095238095238093 * (Z(3) @ Z(1)) + 0.13095238095238096 * (Z(3) @ Z(0)) + 0.13095238095238096 * (Z(3) @ Z(2)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.07380952380952381 * (Z(4) @ Z(0)) + 0.073809523809... | 5 | 9 | 1 | {"smallest_eigenvalues": [-1.614285714285714, -1.614285714285714], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5666666666666664, "smallest_bitstrings": ["001001010", "100001010"], "largest_eigenvalue": 6.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.346453017466467e-07) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(3.346453017466467e-07) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(2.127894507176389e-06) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(2.127894507176389e-06) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"... | [
0.047619047619047616,
0.047619047619047616,
0.13095238095238096,
0.13095238095238093,
0.13095238095238096,
0.13095238095238096,
0.10714285714285714,
0.07380952380952381,
0.07380952380952381,
0.07380952380952381,
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.0476190476... | 0.948378 | [
3.346453017466467e-7,
0.000002127894507176389,
-0.0000010552842199638724,
5.063217414476964e-7,
-0.0000024494925560037533,
2.395424787781462e-7,
7.364761899941717e-7,
0.000001162477036328994,
-0.000001173869493928281,
-0.0000014628950961789425,
-3.4380184700512256e-7,
0.000002149754061786842,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -1.614285714285714,
"target_ratio": 0.97,
"target_value": -1.5658571428571426
} | 500 |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [511, 507], "expectation_value": -0.5055188147203762, "params": [[-0.079], [0.0719]], "bitstrings": ["000000000", "000000100"], "total_optimization_steps": 10, "probabilities": [0.0026942654546876573, 0.00275595400845248], "optimization_time": 2.220109224319458} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.8172203096163698) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.8172203096163698) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.6794975297045968) q[1];
cx q[0], q[1];
rz(-0.6794975297045966) q[0];
rx(2.048574796605975) q[0];
rz(-0.67... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.583059 | [
-0.8172203096163698,
-0.6794975297045968,
-0.8500188890012612,
1.5707962886514641,
2.048574796605975
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 166 |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [1, 21], "expectation_value": -4.083121448872925, "params": [[-0.1724, -0.1642], [0.1752, 0.1714]], "bitstrings": ["111110", "101010"], "total_optimization_steps": 20, "probabilities": [0.07438394549872261, 0.078323836056953], "optimization_time": 2.5437545776367188} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.3973990978795459) q[0];
h q[1];
ry(0.7210581234742061) q[1];
h q[2];
h q[3];
ry(1.508145619070655) q[3];
cx q[3], q[1];
ry(-0.7210581234742061) q[1];
cx q[3], q[1];
h q[4];
ry(-1.402367103280393) q[4];
h q[5];
cx q[5], q[0];
ry(0.3973990978795459) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.75,
-1,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.75,
-1,
-1.25,
1.25,
-0.25,
1.25,
-1.5,
0.5,
-1.25
] | 0.973609 | [
-1.402367103280393,
-0.7947981957590918,
1.226614773855988,
1.508145619070655,
1.4421162469484121,
-0.23582571520858747,
0.17368093824506411,
-0.2690797596273954,
0.1449349374403027,
-0.4615274142083343,
-0.04054061261302525,
-0.4541789105974401
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 11 |
74f1544741d8dc33405b84be7c29f907 | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"sour... | {"states": [255, 127], "expectation_value": -30.52390438491677, "params": [[[-1.6204, 0.0013000000000000002], [0.0024000000000000002, 0.0029000000000000002], [0.0024000000000000002, 0.0059], [0.0025, 0.0083], [0.0025, 0.0068000000000000005], [0.0025, 0.0073], [-0.0027, 0.0025], [3.1603000000000003, 0.0059]]], "bitstrin... | -3.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 1.0... | 2 | 8 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-1.6818512755030193) q[0];
rz(-0.05011761782179678) q[0];
rx(0.024531794576474017) q[1];
rz(0.10217450804191504) q[1];
rx(0.024531794576474017) q[2];
rz(0.22780403382131073) q[2];
rx(-0.0019298072596211778) q[3];
rz(-0.016452723778590042) q[3];
rx(-0.0019298072596211... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"ZIIZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIZ... | [
-3,
-3,
-3,
-3,
-3,
1,
1,
-3,
-3,
1,
-3,
1,
-3,
1,
1,
1,
1,
1,
-3,
-3,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.984107 | [
-1.6818512755030193,
-0.05011761782179678,
0.024531794576474017,
0.10217450804191504,
0.22780403382131073,
-0.0019298072596211778,
-0.016452723778590042,
-0.02934461518037318,
-0.08056059532403484,
0.08696642690571697,
3.083024103090386
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 1 |
bfd6307c43684d9b9fd7bdff644551ce | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [605, 589], "expectation_value": -49.40280920781536, "params": [0.7275, 0.1345, 1.0055, 0.0227, 0.006500000000000001, 0.7283000000000001, -0.018600000000000002, -0.4455, 0.9961000000000001, -0.0125, 0.1956, 0.5327000000000001, 0.7892, 0.36010000000000003, 1.0008000000000001, 0.38720000000000004, 1.0013, 0.13... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(8) @ Z(4)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(3) @ Z(10)) + 8.0 * (Z(9) @ Z(10)) + -4.5 * Z(2) + 0.0 * Z(1) + 17.0 * Z(4) + 1.5 * Z(0) + -3.0 * Z(5) + 23.5 * Z(8) + 3.0 * Z(6) + 5.5... | 16 | 11 | 2 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.5, "smallest_bitstrings": ["10110110010"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.16589608027722152) q[0];
rz(0.49544411038092306) q[0];
rx(1.3585468087049304) q[1];
rz(-0.002718193695651683) q[1];
cx q[1], q[0];
rz(-0.061469584509896834) q[0];
cx q[1], q[0];
rx(0.13554217119852782) q[0];
rz(-0.6821246334343711) q[0];
rz(0.40062709618875303) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"ZIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-4.5,
0,
17,
1.5,
-3,
23.5,
3,
5.5,
5.5,
-5,
-4
] | 0.970451 | [
-0.1658960802772215,
0.4339745258710252,
1.3585468087049304,
-0.002718193695651683,
0.12841915857275793,
0.6823682060603932,
0.12529086768053904,
-0.6129947829325062,
1.394370712483243,
-0.04091236531817585,
-0.12411140341546446,
0.5361021090065787,
0.06240314887299431,
0.49442898981012146... | {
"n_parameters": 60,
"n_qubits": 11,
"optimal_eigenvalue": -111.5,
"target_ratio": 0.97,
"target_value": -108.155
} | 17 |
a38227ca05bb5e1c3110df61e15475e5 | 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": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [146, 147], "expectation_value": -2.02898111133137, "params": [1.6984000000000001, 0.0041, 0.4606, 0.0043, 0.4535, 0.0094, 1.6852, 0.0061, 1.4527, 0.009300000000000001, 0.051800000000000006, 0.0022, 1.6986, 0.0001, 1.6011, 0.006900000000000001, 0.0071, 0.006, 0.0054, 0.0046, 0.006, 0.006500000000000001, 0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -0.5 * Z(7) + -0.5 * Z(1) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) | 3 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01101100", "01110100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5828140966267514) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.014155834669197016) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014155834669197016) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.5828140966267514) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIZI",
"IZIIIIZI",
"IIZIZIII",
"IIZZIIII",
"IIIZZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.977509 | [
-1.5828140966267514,
-0.014155834669197016,
-0.02116396070815279,
-0.013337028446488167,
0.04356747679686805,
-0.008037532779039583,
0.10057400069633016,
0.009481270663633676,
0.7191847124874255
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.0216796874999727,
"target_ratio": 0.97,
"target_value": -1.9610292968749734
} | 24 |
0d8d9440607c15706cae5380bc7bfd0c | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21866, 21930], "expectation_value": -1.712464489298214, "params": null, "bitstrings": ["1010101010010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12292577896568423, 0.2699718422461768], "optimization_time": 1073.9376015663147} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006714876033057851 * (Z(4) @ Z(0)) + 0.0003099173553719008 * (Z(4) @ Z(2)) + -0.0006714876033057851 * (Z(5) @ Z(1)) + 0.0003099173553719008 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.023657024793355], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0236570247932613, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.012706611570187} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4727607728675043) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.015102868074323261) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.015102868074323261) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4727607728675043) q[3];
cx q[2], q[3... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5936) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
-0.0006714876033057851,
0.0003099173553719008,
-0.0006714876033057851,
0.0003099173553719008,
0.25,
-0.0006714876033057851,
-0.0008264462809917356,
-0.0006714876033057851,
-0.0006714876033057851,
-0.0008264462809917356,
-0.00067... | 0.977555 | [
1.4727607728675043,
0.015102868074323261,
-0.023651607089155036,
0.0692664265920943,
-0.7789650931180839
] | {
"n_parameters": 5,
"n_qubits": 16,
"optimal_eigenvalue": -2.023657024793348,
"target_ratio": 0.97,
"target_value": -1.9629473140495475
} | 20 |
63170e2b24569f75db0909519710ee87 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 1023], "expectation_value": -29.64358595127178, "params": [[[0.0021000000000000003, 1.6068], [0.002, 0.0021000000000000003], [0.0019, 0.002], [0.0024000000000000002, 0.002], [0.0024000000000000002, 0.0021000000000000003], [0.0034000000000000002, -0.003], [0.0022, 0.0027], [-0.0032, 0.0026000000000000003]... | -3.0 * (Z(0) @ Z(3)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + -3.0 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + -2.... | 15 | 10 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.042787774737015415) q[0];
ry(-0.0915144194483624) q[1];
ry(0.06269871544589964) q[2];
ry(0.029146768238439036) q[3];
ry(0.029146768238439036) q[4];
ry(0.15793810334853675) q[5];
ry(0.09043201496702824) q[6];
ry(-0.008353238737109359) q[7];
ry(0.2956230480184825) ... | OPENQASM 3.0;
include "stdgates.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... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIZIIIZII",
"IIIIIIIZZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZIIIZI",
"IIIIZIIZII"... | [
-3,
-3.5,
-3.5,
-3,
-2,
1,
-3,
1,
-3,
0.5,
-3,
1,
-3,
0.5,
-2,
0.5,
0.5,
-3,
0.5,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.971488 | [
-0.042787774737015415,
-0.0915144194483624,
0.06269871544589964,
0.029146768238439036,
0.15793810334853675,
0.09043201496702824,
-0.008353238737109359,
0.2956230480184825,
-0.040079609760812734,
2.8331773532922706,
0.30732290187821937,
-0.1742438763672991,
0.07679488689193556,
-0.024954653... | {
"n_parameters": 14,
"n_qubits": 10,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 12 |
16e531ebd5c4fa365456c9500ea8e716 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"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}, ... | {"states": [6, 7], "expectation_value": -6.01062763921675, "params": [[[0.2665, -0.2308], [0.31120000000000003, -0.1908], [0.26630000000000004, 0.2354], [0.2577, -0.2315], [0.6532, -0.0008], [0.6202000000000001, 0.0027], [0.615, 0.0008]], [[0.25980000000000003, -0.2308], [0.3043, -0.1908], [0.26, 0.2354], [0.266, -0.23... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) 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[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
8f9556ded5862d313741f5f580f26f44 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "tar... | {"states": [345, 236], "expectation_value": -7.798899752888978, "params": [[0.0589], [-0.0685]], "bitstrings": ["010100110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.004063547793252641, 0.00500622909131056], "optimization_time": 2.0589993000030518} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 6.0 * Z(1) + 5.5 * Z(0) + 10.0 * Z(3) + 11.0 * Z(2) + 5.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 121.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05473525691041883) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.05473525691041883) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.05473525691041883) q[2];
cx q[0], q[2];
rz(-1.5229900471969247) q[0];
rx(-1.577074433898552) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5.5,
10,
11,
5.5,
14.5,
12.5,
0.5,
1.5
] | 0.974183 | [
0.05473525691041883,
1.6244433499446662,
-1.5229900471969247,
1.4904383169108493,
1.6593180893087505,
1.4886150292409366,
1.9350864882710626,
-1.6202825256556461,
-1.2793235269724634,
-1.577074433898552
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -77,
"target_ratio": 0.97,
"target_value": -74.69
} | 30 |
95b1142ae8d79cc944e68dc71d440182 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [0, 1], "expectation_value": -6.027623409211263, "params": [0.0021000000000000003, -0.21580000000000002, 0.0043, 0.307, 0.0028, 0.2479, 0.0018000000000000002, 0.2054, 0.0039000000000000003, 0.27240000000000003, 0.4097, 0.0078000000000000005, -0.0013000000000000002, 0.1663, 0.0002, 0.3139, 0.0015, 0.222600000... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 3 | 6 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000", "111110", "110000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7452102939404112) q[0];
ry(-0.29282599220256483) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7800172314783907) q[2];
h q[3];
h q[4];
ry(0.8044577856235101) q[4];
cx q[3], q[4];
ry(-0.8044577856235101) q[4];
cx q[3], q[4];
ry(1.2080582990283706) q[3];
ry(0.48108184132... | OPENQASM 3.0;
include "stdgates.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",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IZZIII",
"IZIZII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IZIIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-2.75,
-1,
-0.5,
0.25,
-0.25,
0.25,
-0.25,
-1.25,
1.25
] | 0.974145 | [
1.6089155712470202,
1.0304510352944072,
0.4810818413241434,
0.3552145274679267,
1.5600344629567815,
1.6286797946394622,
-1.4904205878808223,
-1.2881797724217239,
-0.016202039678616637,
0.011782440981039097,
0.020418875658783947,
0.006648626917140368,
-0.03701390813287764,
-0.02840884860849... | {
"n_parameters": 22,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 2 |
2588d6bc234a2ebe9da283ea0a74ab37 | 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": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [210, 127], "expectation_value": -6.027559410627919, "params": null, "bitstrings": ["00101101", "10000000"], "total_optimization_steps": 83, "probabilities": [0.05036366897357575, 0.7862576008289568], "optimization_time": 125.725177526474} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.14839836116753768) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.5527585164935408) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.32881606869814567) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(0.552758516493540... | 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(1.5626) 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] = mea... | [
"IZIIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIZZI",
"ZIIIIZII",
"IIIZIZII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0,
-0.25,
0.5,
-0.5,
-0.75,
0.75,
-0.5,
0.75
] | 0.86115 | [
0.14839836116753768,
0.5527585164935408,
0.32881606869814567,
-0.765912548820112,
0.2311734859611556,
0.05741605135624837,
-1.2951574166671995,
0.5782381291255552,
-0.3685606030596106,
-0.7438219039249117,
-0.9069556769159839,
0.951041222959043,
-0.5805358994066825,
1.6189642146834144,
-... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
7364134617263499022 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [2, 3], [1, 3], [0, 2], [2, 5]]} | {"states": [26, 37], "expectation_value": -0.033157764539154824, "params": [[-0.0634], [0.0528]], "bitstrings": ["100101", "011010"], "total_optimization_steps": 20, "probabilities": [0.01667808276184456, 0.01667808276184456], "optimization_time": 0.5715937614440918} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.8563570678354413) q[0];
cx q[4], q[0];
cx q[0], q[2];
rz(-0.8563570678354413) q[2];
cx q[0], q[2];
rz(-3.81748694877615e-08) q[0];
rx(0.7853981668798803) q[0];
cx q[2], q[3];
rz(-0.8563570678354413) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IIIZIZ",
"IIZZII",
"IIZIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.521919 | [
-0.8563570678354413,
-3.81748696956406e-8,
0.7853981668798804
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 99 |
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